symmetry # P1 No. 1 x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-1 No. 2 x1 x2 x3 -x1 -x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P2 P121 No. 3 x1 x2 x3 -x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P2 P112 No. 3 x1 x2 x3 -x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21 P1211 No. 4 x1 x2 x3 -x1 x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21 P1121 No. 4 x1 x2 x3 -x1 -x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # C2 C121 No. 5 x1 x2 x3 -x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # C2 A121 No. 5 x1 x2 x3 -x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # C2 I121 No. 5 x1 x2 x3 -x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # C2 A112 No. 5 x1 x2 x3 -x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # C2 B112 No. 5 x1 x2 x3 -x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.0 0.5 endcenters symmetry # C2 I112 No. 5 x1 x2 x3 -x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Pm P1m1 No. 6 x1 x2 x3 x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pm P11m No. 6 x1 x2 x3 x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pc P1c1 No. 7 x1 x2 x3 x1 -x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pc P1n1 No. 7 x1 x2 x3 x1+1/2 -x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pc P1a1 No. 7 x1 x2 x3 x1+1/2 -x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pc P11a No. 7 x1 x2 x3 x1+1/2 x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pc P11n No. 7 x1 x2 x3 x1+1/2 x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pc P11b No. 7 x1 x2 x3 x1 x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Cm C1m1 No. 8 x1 x2 x3 x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Cm A1m1 No. 8 x1 x2 x3 x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # Cm I1m1 No. 8 x1 x2 x3 x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Cm A11m No. 8 x1 x2 x3 x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # Cm B11m No. 8 x1 x2 x3 x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.0 0.5 endcenters symmetry # Cm I11m No. 8 x1 x2 x3 x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Cc C1c1 No. 9 x1 x2 x3 x1 -x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Cc A1n1 No. 9 x1 x2 x3 x1+1/2 -x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # Cc I1a1 No. 9 x1 x2 x3 x1+1/2 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Cc A11a No. 9 x1 x2 x3 x1+1/2 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # Cc B11n No. 9 x1 x2 x3 x1+1/2 x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.0 0.5 endcenters symmetry # Cc I11b No. 9 x1 x2 x3 x1 x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P2/m P12/m1 No. 10 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P2/m P112/m No. 10 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21/m P121/m1 No. 11 x1 x2 x3 -x1 -x2 -x3 -x1 x2+1/2 -x3 x1 -x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21/m P1121/m No. 11 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3+1/2 x1 x2 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # C2/m C12/m1 No. 12 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # C2/m A12/m1 No. 12 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # C2/m I12/m1 No. 12 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # C2/m A112/m No. 12 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # C2/m B112/m No. 12 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.0 0.5 endcenters symmetry # C2/m I112/m No. 12 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P2/c P12/c1 No. 13 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P2/c P12/n1 No. 13 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P2/c P12/a1 No. 13 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 x2 -x3 x1+1/2 -x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P2/c P112/a No. 13 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3 x1+1/2 x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P2/c P112/n No. 13 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P2/c P112/b No. 13 x1 x2 x3 -x1 -x2 -x3 -x1 -x2+1/2 x3 x1 x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21/c P121/c1 No. 14 x1 x2 x3 -x1 -x2 -x3 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21/c P121/n1 No. 14 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21/c P121/a1 No. 14 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21/c P1121/a No. 14 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21/c P1121/n No. 14 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3+1/2 x1+1/2 x2+1/2 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21/c P1121/b No. 14 x1 x2 x3 -x1 -x2 -x3 -x1 -x2+1/2 x3+1/2 x1 x2+1/2 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # C2/c C12/c1 No. 15 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # C2/c A12/n1 No. 15 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # C2/c I12/a1 No. 15 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 x2 -x3 x1+1/2 -x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # C2/c A112/a No. 15 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3 x1+1/2 x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # C2/c B112/n No. 15 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.0 0.5 endcenters symmetry # C2/c I112/b No. 15 x1 x2 x3 -x1 -x2 -x3 -x1 -x2+1/2 x3 x1 x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P222 No. 16 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P2221 No. 17 x1 x2 x3 -x1 -x2 x3+1/2 -x1 x2 -x3+1/2 x1 -x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P21212 No. 18 x1 x2 x3 -x1 -x2 x3 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P212121 No. 19 x1 x2 x3 -x1+1/2 -x2 x3+1/2 -x1 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # C2221 No. 20 x1 x2 x3 -x1 -x2 x3+1/2 -x1 x2 -x3+1/2 x1 -x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # C222 No. 21 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # F222 No. 22 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # I222 No. 23 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I212121 No. 24 x1 x2 x3 -x1+1/2 -x2 x3+1/2 -x1 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Pmm2 No. 25 x1 x2 x3 -x1 -x2 x3 x1 -x2 x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pmc21 No. 26 x1 x2 x3 -x1 -x2 x3+1/2 x1 -x2 x3+1/2 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pcc2 No. 27 x1 x2 x3 -x1 -x2 x3 x1 -x2 x3+1/2 -x1 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pma2 No. 28 x1 x2 x3 -x1 -x2 x3 x1+1/2 -x2 x3 -x1+1/2 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pca21 No. 29 x1 x2 x3 -x1 -x2 x3+1/2 x1+1/2 -x2 x3 -x1+1/2 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pnc2 No. 30 x1 x2 x3 -x1 -x2 x3 x1 -x2+1/2 x3+1/2 -x1 x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pmn21 No. 31 x1 x2 x3 -x1+1/2 -x2 x3+1/2 x1+1/2 -x2 x3+1/2 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pba2 No. 32 x1 x2 x3 -x1 -x2 x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pna21 No. 33 x1 x2 x3 -x1 -x2 x3+1/2 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pnn2 No. 34 x1 x2 x3 -x1 -x2 x3 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Cmm2 No. 35 x1 x2 x3 -x1 -x2 x3 x1 -x2 x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Cmc21 No. 36 x1 x2 x3 -x1 -x2 x3+1/2 x1 -x2 x3+1/2 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Ccc2 No. 37 x1 x2 x3 -x1 -x2 x3 x1 -x2 x3+1/2 -x1 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Amm2 No. 38 x1 x2 x3 -x1 -x2 x3 x1 -x2 x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # Abm2 Aem2 No. 39 x1 x2 x3 -x1 -x2 x3 x1 -x2+1/2 x3 -x1 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # Ama2 No. 40 x1 x2 x3 -x1 -x2 x3 x1+1/2 -x2 x3 -x1+1/2 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # Aba2 Aea2 No. 41 x1 x2 x3 -x1 -x2 x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 endcenters symmetry # Fmm2 No. 42 x1 x2 x3 -x1 -x2 x3 x1 -x2 x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fdd2 No. 43 x1 x2 x3 -x1 -x2 x3 x1+1/4 -x2+1/4 x3+1/4 -x1+1/4 x2+1/4 x3+1/4 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Imm2 No. 44 x1 x2 x3 -x1 -x2 x3 x1 -x2 x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Iba2 No. 45 x1 x2 x3 -x1 -x2 x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Ima2 No. 46 x1 x2 x3 -x1 -x2 x3 x1+1/2 -x2 x3 -x1+1/2 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Pmmm No. 47 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pnnn Pnnn:1 No. 48 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pnnn Pnnn:2 No. 48 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 x3 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 x1 -x2+1/2 -x3+1/2 -x1 x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pccm No. 49 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 x1 -x2 -x3+1/2 -x1 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pban No. 50 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pban No. 50 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x1+1/2 x2 -x3 x1+1/2 -x2 x3 x1 -x2+1/2 -x3 -x1 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pmma No. 51 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3 x1+1/2 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1+1/2 -x2 -x3 -x1+1/2 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pnna No. 52 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3 x1+1/2 x2 -x3 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 x1 -x2+1/2 -x3+1/2 -x1 x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pmna No. 53 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 x1 -x2 -x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pcca No. 54 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3 x1+1/2 x2 -x3 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 x1+1/2 -x2 -x3+1/2 -x1+1/2 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pbam No. 55 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 x3 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pccn No. 56 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1+1/2 -x2 -x3+1/2 -x1+1/2 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pbcm No. 57 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3+1/2 x1 x2 -x3+1/2 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1 -x2+1/2 -x3 -x1 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pnnm No. 58 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 -x1+1/2 x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pmmn Pmmn:1 No. 59 x1 x2 x3 -x1 -x2 x3 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 -x3 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 -x3 x1 -x2 x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pmmn Pmmn:2 No. 59 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x1 x2+1/2 -x3 x1 -x2+1/2 x3 x1+1/2 -x2 -x3 -x1+1/2 x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pbcn No. 60 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3+1/2 x1+1/2 x2+1/2 -x3+1/2 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pbca No. 61 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pnma No. 62 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x1 x2+1/2 -x3 x1 -x2+1/2 x3 x1+1/2 -x2+1/2 -x3+1/2 -x1+1/2 x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pbnm No. 62 x1 x2 x3 -x1 -x2 -x3 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 -x1 -x2 x3+1/2 x1 x2 -x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Cmcm No. 63 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3+1/2 x1 x2 -x3+1/2 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 x1 -x2 -x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Cmca Cmce No. 64 x1 x2 x3 -x1 -x2 -x3 -x1 -x2+1/2 x3+1/2 x1 x2+1/2 -x3+1/2 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1 -x2 -x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Cmmm No. 65 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Cccm No. 66 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 x1 -x2 -x3+1/2 -x1 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Cmma Cmme No. 67 x1 x2 x3 -x1 -x2 -x3 -x1 -x2+1/2 x3 x1 x2+1/2 -x3 -x1 x2+1/2 -x3 x1 -x2+1/2 x3 x1 -x2 -x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Ccca Ccce Ccca:1 No. 68 x1 x2 x3 -x1+1/2 -x2+1/2 x3 -x1 x2 -x3 x1+1/2 -x2+1/2 -x3 -x1 -x2+1/2 x3+1/2 x1+1/2 x2 -x3+1/2 x1 -x2+1/2 x3+1/2 -x1+1/2 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Ccca Ccce Ccca:2 No. 68 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3 x1+1/2 x2 -x3 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 x1+1/2 -x2 -x3+1/2 -x1+1/2 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.0 endcenters symmetry # Fmmm No. 69 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fddd Fddd:1 No. 70 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 -x1+1/4 -x2+1/4 -x3+1/4 x1+1/4 x2+1/4 -x3+1/4 x1+1/4 -x2+1/4 x3+1/4 -x1+1/4 x2+1/4 x3+1/4 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fddd Fddd:2 No. 70 x1 x2 x3 -x1 -x2 -x3 -x1+3/4 -x2+3/4 x3 x1+3/4 x2+3/4 -x3 -x1+3/4 x2 -x3+3/4 x1+3/4 -x2 x3+3/4 x1 -x2+3/4 -x3+3/4 -x1 x2+3/4 x3+3/4 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Immm No. 71 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Ibam No. 72 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 x3 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Ibca No. 73 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Imma No. 74 x1 x2 x3 -x1 -x2 -x3 -x1 -x2+1/2 x3 x1 x2+1/2 -x3 -x1 x2+1/2 -x3 x1 -x2+1/2 x3 x1 -x2 -x3 -x1 x2 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P4 No. 75 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P41 No. 76 x1 x2 x3 -x1 -x2 x3+1/2 -x2 x1 x3+1/4 x2 -x1 x3+3/4 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42 No. 77 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3+1/2 x2 -x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P43 No. 78 x1 x2 x3 -x1 -x2 x3+1/2 -x2 x1 x3+3/4 x2 -x1 x3+1/4 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # I4 No. 79 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I41 No. 80 x1 x2 x3 -x1+1/2 -x2+1/2 x3+1/2 -x2 x1+1/2 x3+1/4 x2+1/2 -x1 x3+3/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P-4 No. 81 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # I-4 No. 82 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P4/m No. 83 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3 x2 -x1 -x3 x2 -x1 x3 -x2 x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/m No. 84 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3+1/2 x2 -x1 -x3+1/2 x2 -x1 x3+1/2 -x2 x1 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/n No. 85 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3 x2+1/2 -x1+1/2 x3 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 -x3 x2 -x1 -x3 -x2 x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/n No. 85 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2+1/2 x1 -x3 x2+1/2 -x1 x3 x2 -x1+1/2 -x3 -x2 x1+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/n No. 86 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x2 -x1 -x3 -x2 x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/n No. 86 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2 x1+1/2 x3+1/2 x2 -x1+1/2 -x3+1/2 x2+1/2 -x1 x3+1/2 -x2+1/2 x1 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # I4/m No. 87 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3 x2 -x1 -x3 x2 -x1 x3 -x2 x1 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I41/a No. 88 x1 x2 x3 -x1+1/2 -x2+1/2 x3+1/2 -x2 x1+1/2 x3+1/4 x2+1/2 -x1 x3+3/4 -x1 -x2+1/2 -x3+1/4 x1+1/2 x2 -x3+3/4 x2 -x1 -x3 -x2+1/2 x1+1/2 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I41/a No. 88 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x2+3/4 x1+1/4 x3+1/4 x2+3/4 -x1+1/4 -x3+1/4 x2+3/4 -x1+3/4 x3+3/4 -x2+3/4 x1+3/4 -x3+3/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P422 No. 89 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 -x1 x2 -x3 x1 -x2 -x3 x2 x1 -x3 -x2 -x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4212 No. 90 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3 x2+1/2 -x1+1/2 x3 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 -x3 x2 x1 -x3 -x2 -x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4122 No. 91 x1 x2 x3 -x1 -x2 x3+1/2 -x2 x1 x3+1/4 x2 -x1 x3+3/4 -x1 x2 -x3 x1 -x2 -x3+1/2 x2 x1 -x3+3/4 -x2 -x1 -x3+1/4 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P41212 No. 92 x1 x2 x3 -x1 -x2 x3+1/2 -x2+1/2 x1+1/2 x3+1/4 x2+1/2 -x1+1/2 x3+3/4 -x1+1/2 x2+1/2 -x3+1/4 x1+1/2 -x2+1/2 -x3+3/4 x2 x1 -x3 -x2 -x1 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4222 No. 93 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3+1/2 x2 -x1 x3+1/2 -x1 x2 -x3 x1 -x2 -x3 x2 x1 -x3+1/2 -x2 -x1 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42212 No. 94 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 x2 x1 -x3 -x2 -x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4322 No. 95 x1 x2 x3 -x1 -x2 x3+1/2 -x2 x1 x3+3/4 x2 -x1 x3+1/4 -x1 x2 -x3 x1 -x2 -x3+1/2 x2 x1 -x3+1/4 -x2 -x1 -x3+3/4 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P43212 No. 96 x1 x2 x3 -x1 -x2 x3+1/2 -x2+1/2 x1+1/2 x3+3/4 x2+1/2 -x1+1/2 x3+1/4 -x1+1/2 x2+1/2 -x3+3/4 x1+1/2 -x2+1/2 -x3+1/4 x2 x1 -x3 -x2 -x1 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # I422 No. 97 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 -x1 x2 -x3 x1 -x2 -x3 x2 x1 -x3 -x2 -x1 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I4122 No. 98 x1 x2 x3 -x1+1/2 -x2+1/2 x3+1/2 -x2 x1+1/2 x3+1/4 x2+1/2 -x1 x3+3/4 -x1+1/2 x2 -x3+3/4 x1 -x2+1/2 -x3+1/4 x2+1/2 x1+1/2 -x3+1/2 -x2 -x1 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P4mm No. 99 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 x1 -x2 x3 -x1 x2 x3 -x2 -x1 x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4bm No. 100 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3 -x2+1/2 -x1+1/2 x3 x2+1/2 x1+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42cm No. 101 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3+1/2 x2 -x1 x3+1/2 x1 -x2 x3+1/2 -x1 x2 x3+1/2 -x2 -x1 x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42nm No. 102 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 -x2 -x1 x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4cc No. 103 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 x1 -x2 x3+1/2 -x1 x2 x3+1/2 -x2 -x1 x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4nc No. 104 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42mc No. 105 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3+1/2 x2 -x1 x3+1/2 x1 -x2 x3 -x1 x2 x3 -x2 -x1 x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42bc No. 106 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3+1/2 x2 -x1 x3+1/2 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # I4mm No. 107 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 x1 -x2 x3 -x1 x2 x3 -x2 -x1 x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I4cm No. 108 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 x1 -x2 x3+1/2 -x1 x2 x3+1/2 -x2 -x1 x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I41md No. 109 x1 x2 x3 -x1+1/2 -x2+1/2 x3+1/2 -x2 x1+1/2 x3+1/4 x2+1/2 -x1 x3+3/4 x1 -x2 x3 -x1+1/2 x2+1/2 x3+1/2 -x2 -x1+1/2 x3+1/4 x2 x1+1/2 x3+3/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I41cd No. 110 x1 x2 x3 -x1+1/2 -x2+1/2 x3+1/2 -x2 x1+1/2 x3+1/4 x2+1/2 -x1 x3+3/4 x1 -x2 x3+1/2 -x1+1/2 x2+1/2 x3 -x2 -x1+1/2 x3+3/4 x2+1/2 x1 x3+1/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P-42m No. 111 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 -x1 x2 -x3 x1 -x2 -x3 -x2 -x1 x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-42c No. 112 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 -x1 x2 -x3+1/2 x1 -x2 -x3+1/2 -x2 -x1 x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-421m No. 113 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 -x3 -x2+1/2 -x1+1/2 x3 x2+1/2 x1+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-421c No. 114 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-4m2 No. 115 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 x1 -x2 x3 -x1 x2 x3 x2 x1 -x3 -x2 -x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-4c2 No. 116 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 x1 -x2 x3+1/2 -x1 x2 x3+1/2 x2 x1 -x3+1/2 -x2 -x1 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-4b2 No. 117 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3 x2+1/2 x1+1/2 -x3 -x2+1/2 -x1+1/2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-4n2 No. 118 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # I-4m2 No. 119 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 x1 -x2 x3 -x1 x2 x3 x2 x1 -x3 -x2 -x1 -x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I-4c2 No. 120 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 x1 -x2 x3+1/2 -x1 x2 x3+1/2 x2 x1 -x3+1/2 -x2 -x1 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I-42m No. 121 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 -x1 x2 -x3 x1 -x2 -x3 -x2 -x1 x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I-42d No. 122 x1 x2 x3 -x1 -x2 x3 x2 -x1 -x3 -x2 x1 -x3 -x1+1/2 x2 -x3+3/4 x1+1/2 -x2 -x3+3/4 -x2+1/2 -x1 x3+3/4 x2+1/2 x1 x3+3/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P4/mmm No. 123 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3 x2 -x1 -x3 x2 -x1 x3 -x2 x1 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x2 x1 -x3 -x2 -x1 x3 -x2 -x1 -x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/mcc No. 124 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3 x2 -x1 -x3 x2 -x1 x3 -x2 x1 -x3 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 x1 -x2 -x3+1/2 -x1 x2 x3+1/2 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 -x2 -x1 -x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/nbm P4/nbm:1 No. 125 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 -x1 x2 -x3 x1 -x2 -x3 x2 x1 -x3 -x2 -x1 -x3 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 -x3 x2+1/2 -x1+1/2 -x3 -x2+1/2 x1+1/2 -x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3 -x2+1/2 -x1+1/2 x3 x2+1/2 x1+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/nbm P4/nbm:2 No. 125 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2+1/2 x1 x3 x2+1/2 -x1 -x3 x2 -x1+1/2 x3 -x2 x1+1/2 -x3 -x1+1/2 x2 -x3 x1+1/2 -x2 x3 x1 -x2+1/2 -x3 -x1 x2+1/2 x3 x2 x1 -x3 -x2 -x1 x3 -x2+1/2 -x1+1/2 -x3 x2+1/2 x1+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/nnc P4/nnc:1 No. 126 x1 x2 x3 -x1 -x2 x3 -x2 x1 x3 x2 -x1 x3 -x1 x2 -x3 x1 -x2 -x3 x2 x1 -x3 -x2 -x1 -x3 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/nnc P4/nnc:2 No. 126 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2+1/2 x1 x3 x2+1/2 -x1 -x3 x2 -x1+1/2 x3 -x2 x1+1/2 -x3 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 x1 -x2+1/2 -x3+1/2 -x1 x2+1/2 x3+1/2 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/mbm No. 127 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3 x2 -x1 -x3 x2 -x1 x3 -x2 x1 -x3 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 x3 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 x2+1/2 x1+1/2 -x3 -x2+1/2 -x1+1/2 x3 -x2+1/2 -x1+1/2 -x3 x2+1/2 x1+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/mnc No. 128 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3 x2 -x1 -x3 x2 -x1 x3 -x2 x1 -x3 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 -x1+1/2 x2+1/2 x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/nmm P4/nmm:1 No. 129 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3 x2+1/2 -x1+1/2 x3 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 -x3 x2 x1 -x3 -x2 -x1 -x3 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 -x3 x2 -x1 -x3 -x2 x1 -x3 x1 -x2 x3 -x1 x2 x3 -x2+1/2 -x1+1/2 x3 x2+1/2 x1+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/nmm P4/nmm:2 No. 129 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2+1/2 x1 x3 x2+1/2 -x1 -x3 x2 -x1+1/2 x3 -x2 x1+1/2 -x3 -x1 x2+1/2 -x3 x1 -x2+1/2 x3 x1+1/2 -x2 -x3 -x1+1/2 x2 x3 x2+1/2 x1+1/2 -x3 -x2+1/2 -x1+1/2 x3 -x2 -x1 -x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/ncc P4/ncc:1 No. 130 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3 x2+1/2 -x1+1/2 x3 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 x2 x1 -x3+1/2 -x2 -x1 -x3+1/2 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 -x3 x2 -x1 -x3 -x2 x1 -x3 x1 -x2 x3+1/2 -x1 x2 x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4/ncc P4/ncc:2 No. 130 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2+1/2 x1 x3 x2+1/2 -x1 -x3 x2 -x1+1/2 x3 -x2 x1+1/2 -x3 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1+1/2 -x2 -x3+1/2 -x1+1/2 x2 x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 -x2 -x1 -x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/mmc No. 131 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3+1/2 x2 -x1 -x3+1/2 x2 -x1 x3+1/2 -x2 x1 -x3+1/2 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 -x2 -x1 -x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/mcm No. 132 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3+1/2 x2 -x1 -x3+1/2 x2 -x1 x3+1/2 -x2 x1 -x3+1/2 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 x1 -x2 -x3+1/2 -x1 x2 x3+1/2 x2 x1 -x3 -x2 -x1 x3 -x2 -x1 -x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/nbc P42/nbc:1 No. 133 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x1 x2 -x3+1/2 x1 -x2 -x3+1/2 x2+1/2 x1+1/2 -x3 -x2+1/2 -x1+1/2 -x3 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x2 -x1 -x3 -x2 x1 -x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x3 -x2 -x1 x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/nbc P42/nbc:2 No. 133 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2+1/2 x1 x3+1/2 x2+1/2 -x1 -x3+1/2 x2 -x1+1/2 x3+1/2 -x2 x1+1/2 -x3+1/2 -x1+1/2 x2 -x3 x1+1/2 -x2 x3 x1 -x2+1/2 -x3 -x1 x2+1/2 x3 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/nnm P42/nnm:1 No. 134 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x1 x2 -x3 x1 -x2 -x3 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x2 -x1 -x3 -x2 x1 -x3 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 -x2 -x1 x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/nnm P42/nnm:2 No. 134 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2+1/2 x1 x3+1/2 x2+1/2 -x1 -x3+1/2 x2 -x1+1/2 x3+1/2 -x2 x1+1/2 -x3+1/2 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 x1 -x2+1/2 -x3+1/2 -x1 x2+1/2 x3+1/2 x2 x1 -x3 -x2 -x1 x3 -x2+1/2 -x1+1/2 -x3 x2+1/2 x1+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/mbc No. 135 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3+1/2 x2 -x1 -x3+1/2 x2 -x1 x3+1/2 -x2 x1 -x3+1/2 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 x3 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/mnm No. 136 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 -x1+1/2 x2+1/2 x3+1/2 x2 x1 -x3 -x2 -x1 x3 -x2 -x1 -x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/nmc P42/nmc:1 No. 137 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 x2 x1 -x3 -x2 -x1 -x3 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x2 -x1 -x3 -x2 x1 -x3 x1 -x2 x3 -x1 x2 x3 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/nmc P42/nmc:2 No. 137 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2+1/2 x1 x3+1/2 x2+1/2 -x1 -x3+1/2 x2 -x1+1/2 x3+1/2 -x2 x1+1/2 -x3+1/2 -x1 x2+1/2 -x3 x1 -x2+1/2 x3 x1+1/2 -x2 -x3 -x1+1/2 x2 x3 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 -x2 -x1 -x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/ncm P42/ncm:1 No. 138 x1 x2 x3 -x1 -x2 x3 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2+1/2 -x3 x2 x1 -x3+1/2 -x2 -x1 -x3+1/2 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x2 -x1 -x3 -x2 x1 -x3 x1 -x2 x3+1/2 -x1 x2 x3+1/2 -x2+1/2 -x1+1/2 x3 x2+1/2 x1+1/2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P42/ncm P42/ncm:2 No. 138 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x2+1/2 x1 x3+1/2 x2+1/2 -x1 -x3+1/2 x2 -x1+1/2 x3+1/2 -x2 x1+1/2 -x3+1/2 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1+1/2 -x2 -x3+1/2 -x1+1/2 x2 x3+1/2 x2+1/2 x1+1/2 -x3 -x2+1/2 -x1+1/2 x3 -x2 -x1 -x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # I4/mmm No. 139 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3 x2 -x1 -x3 x2 -x1 x3 -x2 x1 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x2 x1 -x3 -x2 -x1 x3 -x2 -x1 -x3 x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I4/mcm No. 140 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x2 x1 x3 x2 -x1 -x3 x2 -x1 x3 -x2 x1 -x3 -x1 x2 -x3+1/2 x1 -x2 x3+1/2 x1 -x2 -x3+1/2 -x1 x2 x3+1/2 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 -x2 -x1 -x3+1/2 x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I41/amd I41/amd:1 No. 141 x1 x2 x3 -x1+1/2 -x2+1/2 x3+1/2 -x2 x1+1/2 x3+1/4 x2+1/2 -x1 x3+3/4 -x1+1/2 x2 -x3+3/4 x1 -x2+1/2 -x3+1/4 x2+1/2 x1+1/2 -x3+1/2 -x2 -x1 -x3 -x1 -x2+1/2 -x3+1/4 x1+1/2 x2 -x3+3/4 x2 -x1 -x3 -x2+1/2 x1+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1 x2 x3 -x2+1/2 -x1 x3+3/4 x2 x1+1/2 x3+1/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I41/amd I41/amd:2 No. 141 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x2+1/4 x1+3/4 x3+1/4 x2+1/4 -x1+3/4 -x3+1/4 x2+1/4 -x1+1/4 x3+3/4 -x2+1/4 x1+1/4 -x3+3/4 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 x1 -x2 -x3 -x1 x2 x3 x2+1/4 x1+3/4 -x3+1/4 -x2+1/4 -x1+3/4 x3+1/4 -x2+1/4 -x1+1/4 -x3+3/4 x2+1/4 x1+1/4 x3+3/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I41/acd I41/acd:1 No. 142 x1 x2 x3 -x1+1/2 -x2+1/2 x3+1/2 -x2 x1+1/2 x3+1/4 x2+1/2 -x1 x3+3/4 -x1+1/2 x2 -x3+1/4 x1 -x2+1/2 -x3+3/4 x2+1/2 x1+1/2 -x3 -x2 -x1 -x3+1/2 -x1 -x2+1/2 -x3+1/4 x1+1/2 x2 -x3+3/4 x2 -x1 -x3 -x2+1/2 x1+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3 -x1 x2 x3+1/2 -x2+1/2 -x1 x3+1/4 x2 x1+1/2 x3+3/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # I41/acd I41/acd:2 No. 142 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x2+1/4 x1+3/4 x3+1/4 x2+1/4 -x1+3/4 -x3+1/4 x2+1/4 -x1+1/4 x3+3/4 -x2+1/4 x1+1/4 -x3+3/4 -x1+1/2 x2 -x3 x1+1/2 -x2 x3 x1 -x2 -x3+1/2 -x1 x2 x3+1/2 x2+1/4 x1+3/4 -x3+3/4 -x2+1/4 -x1+3/4 x3+3/4 -x2+1/4 -x1+1/4 -x3+1/4 x2+1/4 x1+1/4 x3+1/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P3 No. 143 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P31 No. 144 x1 x2 x3 -x2 x1-x2 x3+1/3 -x1+x2 -x1 x3+2/3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P32 No. 145 x1 x2 x3 -x2 x1-x2 x3+2/3 -x1+x2 -x1 x3+1/3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # R3 No. 146 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 endsymmetry centers 0.0 0.0 0.0 2/3 1/3 1/3 1/3 2/3 2/3 endcenters symmetry # P-3 No. 147 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # R-3 No. 148 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 endsymmetry centers 0.0 0.0 0.0 2/3 1/3 1/3 1/3 2/3 2/3 endcenters symmetry # P312 No. 149 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x2 -x1 -x3 -x1+x2 x2 -x3 x1 x1-x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P321 No. 150 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 x2 x1 -x3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P3112 No. 151 x1 x2 x3 -x2 x1-x2 x3+1/3 -x1+x2 -x1 x3+2/3 -x2 -x1 -x3+2/3 -x1+x2 x2 -x3+1/3 x1 x1-x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P3121 No. 152 x1 x2 x3 -x2 x1-x2 x3+1/3 -x1+x2 -x1 x3+2/3 x2 x1 -x3 x1-x2 -x2 -x3+2/3 -x1 -x1+x2 -x3+1/3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P3212 No. 153 x1 x2 x3 -x2 x1-x2 x3+2/3 -x1+x2 -x1 x3+1/3 -x2 -x1 -x3+1/3 -x1+x2 x2 -x3+2/3 x1 x1-x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P3221 No. 154 x1 x2 x3 -x2 x1-x2 x3+2/3 -x1+x2 -x1 x3+1/3 x2 x1 -x3 x1-x2 -x2 -x3+1/3 -x1 -x1+x2 -x3+2/3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # R32 No. 155 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 x2 x1 -x3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3 endsymmetry centers 0.0 0.0 0.0 2/3 1/3 1/3 1/3 2/3 2/3 endcenters symmetry # P3m1 No. 156 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x2 -x1 x3 -x1+x2 x2 x3 x1 x1-x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P31m No. 157 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 x2 x1 x3 x1-x2 -x2 x3 -x1 -x1+x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P3c1 No. 158 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x2 -x1 x3+1/2 x1 x1-x2 x3+1/2 -x1+x2 x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P31c No. 159 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 x2 x1 x3+1/2 x1-x2 -x2 x3+1/2 -x1 -x1+x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # R3m No. 160 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x2 -x1 x3 -x1+x2 x2 x3 x1 x1-x2 x3 endsymmetry centers 0.0 0.0 0.0 2/3 1/3 1/3 1/3 2/3 2/3 endcenters symmetry # R3c No. 161 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x2 -x1 x3+1/2 -x1+x2 x2 x3+1/2 x1 x1-x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 2/3 1/3 1/3 1/3 2/3 2/3 endcenters symmetry # P-31m No. 162 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 -x2 -x1 -x3 x2 x1 x3 -x1+x2 x2 -x3 x1-x2 -x2 x3 x1 x1-x2 -x3 -x1 -x1+x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-31c No. 163 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 -x2 -x1 -x3+1/2 x2 x1 x3+1/2 -x1+x2 x2 -x3+1/2 x1-x2 -x2 x3+1/2 x1 x1-x2 -x3+1/2 -x1 -x1+x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-3m1 No. 164 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 x2 x1 -x3 -x2 -x1 x3 x1-x2 -x2 -x3 -x1+x2 x2 x3 -x1 -x1+x2 -x3 x1 x1-x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-3c1 No. 165 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 x1-x2 -x2 -x3+1/2 -x1+x2 x2 x3+1/2 -x1 -x1+x2 -x3+1/2 x1 x1-x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # R-3m No. 166 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 x2 x1 -x3 -x2 -x1 x3 x1-x2 -x2 -x3 -x1+x2 x2 x3 -x1 -x1+x2 -x3 x1 x1-x2 x3 endsymmetry centers 0.0 0.0 0.0 2/3 1/3 1/3 1/3 2/3 2/3 endcenters symmetry # R-3c No. 167 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 x1-x2 -x2 -x3+1/2 -x1+x2 x2 x3+1/2 -x1 -x1+x2 -x3+1/2 x1 x1-x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 2/3 1/3 1/3 1/3 2/3 2/3 endcenters symmetry # P6 No. 168 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x1 -x2 x3 x2 -x1+x2 x3 x1-x2 x1 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P61 No. 169 x1 x2 x3 -x2 x1-x2 x3+1/3 -x1+x2 -x1 x3+2/3 -x1 -x2 x3+1/2 x2 -x1+x2 x3+5/6 x1-x2 x1 x3+1/6 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P65 No. 170 x1 x2 x3 -x2 x1-x2 x3+2/3 -x1+x2 -x1 x3+1/3 -x1 -x2 x3+1/2 x2 -x1+x2 x3+1/6 x1-x2 x1 x3+5/6 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P62 No. 171 x1 x2 x3 -x2 x1-x2 x3+2/3 -x1+x2 -x1 x3+1/3 -x1 -x2 x3 x2 -x1+x2 x3+2/3 x1-x2 x1 x3+1/3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P64 No. 172 x1 x2 x3 -x2 x1-x2 x3+1/3 -x1+x2 -x1 x3+2/3 -x1 -x2 x3 x2 -x1+x2 x3+1/3 x1-x2 x1 x3+2/3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P63 No. 173 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x1 -x2 x3+1/2 x2 -x1+x2 x3+1/2 x1-x2 x1 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-6 No. 174 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 x1 x2 -x3 -x2 x1-x2 -x3 -x1+x2 -x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6/m No. 175 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 -x1 -x2 x3 x1 x2 -x3 x2 -x1+x2 x3 -x2 x1-x2 -x3 x1-x2 x1 x3 -x1+x2 -x1 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P63/m No. 176 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 -x1 -x2 x3+1/2 x1 x2 -x3+1/2 x2 -x1+x2 x3+1/2 -x2 x1-x2 -x3+1/2 x1-x2 x1 x3+1/2 -x1+x2 -x1 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P622 No. 177 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x1 -x2 x3 x2 -x1+x2 x3 x1-x2 x1 x3 x2 x1 -x3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3 -x2 -x1 -x3 -x1+x2 x2 -x3 x1 x1-x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6122 No. 178 x1 x2 x3 -x2 x1-x2 x3+1/3 -x1+x2 -x1 x3+2/3 -x1 -x2 x3+1/2 x2 -x1+x2 x3+5/6 x1-x2 x1 x3+1/6 x2 x1 -x3+1/3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3+2/3 -x2 -x1 -x3+5/6 -x1+x2 x2 -x3+1/2 x1 x1-x2 -x3+1/6 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6522 No. 179 x1 x2 x3 -x2 x1-x2 x3+2/3 -x1+x2 -x1 x3+1/3 -x1 -x2 x3+1/2 x2 -x1+x2 x3+1/6 x1-x2 x1 x3+5/6 x2 x1 -x3+2/3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3+1/3 -x2 -x1 -x3+1/6 -x1+x2 x2 -x3+1/2 x1 x1-x2 -x3+5/6 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6222 No. 180 x1 x2 x3 -x2 x1-x2 x3+2/3 -x1+x2 -x1 x3+1/3 -x1 -x2 x3 x2 -x1+x2 x3+2/3 x1-x2 x1 x3+1/3 x2 x1 -x3+2/3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3+1/3 -x2 -x1 -x3+2/3 -x1+x2 x2 -x3 x1 x1-x2 -x3+1/3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6422 No. 181 x1 x2 x3 -x2 x1-x2 x3+1/3 -x1+x2 -x1 x3+2/3 -x1 -x2 x3 x2 -x1+x2 x3+1/3 x1-x2 x1 x3+2/3 x2 x1 -x3+1/3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3+2/3 -x2 -x1 -x3+1/3 -x1+x2 x2 -x3 x1 x1-x2 -x3+2/3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6322 No. 182 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x1 -x2 x3+1/2 x2 -x1+x2 x3+1/2 x1-x2 x1 x3+1/2 x2 x1 -x3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3 -x2 -x1 -x3+1/2 -x1+x2 x2 -x3+1/2 x1 x1-x2 -x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6mm No. 183 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x1 -x2 x3 x2 -x1+x2 x3 x1-x2 x1 x3 -x2 -x1 x3 -x1+x2 x2 x3 x1 x1-x2 x3 x2 x1 x3 x1-x2 -x2 x3 -x1 -x1+x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6cc No. 184 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x1 -x2 x3 x2 -x1+x2 x3 x1-x2 x1 x3 -x2 -x1 x3+1/2 -x1+x2 x2 x3+1/2 x1 x1-x2 x3+1/2 x2 x1 x3+1/2 x1-x2 -x2 x3+1/2 -x1 -x1+x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P63cm No. 185 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x1 -x2 x3+1/2 x2 -x1+x2 x3+1/2 x1-x2 x1 x3+1/2 -x2 -x1 x3+1/2 -x1+x2 x2 x3+1/2 x1 x1-x2 x3+1/2 x2 x1 x3 x1-x2 -x2 x3 -x1 -x1+x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P63mc No. 186 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 -x1 -x2 x3+1/2 x2 -x1+x2 x3+1/2 x1-x2 x1 x3+1/2 -x2 -x1 x3 -x1+x2 x2 x3 x1 x1-x2 x3 x2 x1 x3+1/2 x1-x2 -x2 x3+1/2 -x1 -x1+x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-6m2 No. 187 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 x1 x2 -x3 -x2 x1-x2 -x3 -x1+x2 -x1 -x3 -x2 -x1 x3 -x1+x2 x2 x3 x1 x1-x2 x3 -x2 -x1 -x3 -x1+x2 x2 -x3 x1 x1-x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-6c2 No. 188 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 x1 x2 -x3+1/2 -x2 x1-x2 -x3+1/2 -x1+x2 -x1 -x3+1/2 -x2 -x1 x3+1/2 -x1+x2 x2 x3+1/2 x1 x1-x2 x3+1/2 -x2 -x1 -x3 -x1+x2 x2 -x3 x1 x1-x2 -x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-62m No. 189 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 x1 x2 -x3 -x2 x1-x2 -x3 -x1+x2 -x1 -x3 x2 x1 -x3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3 x2 x1 x3 x1-x2 -x2 x3 -x1 -x1+x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P-62c No. 190 x1 x2 x3 -x2 x1-x2 x3 -x1+x2 -x1 x3 x1 x2 -x3+1/2 -x2 x1-x2 -x3+1/2 -x1+x2 -x1 -x3+1/2 x2 x1 -x3 x1-x2 -x2 -x3 -x1 -x1+x2 -x3 x2 x1 x3+1/2 x1-x2 -x2 x3+1/2 -x1 -x1+x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6/mmm No. 191 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 -x1 -x2 x3 x1 x2 -x3 x2 -x1+x2 x3 -x2 x1-x2 -x3 x1-x2 x1 x3 -x1+x2 -x1 -x3 x2 x1 -x3 -x2 -x1 x3 x1-x2 -x2 -x3 -x1+x2 x2 x3 -x1 -x1+x2 -x3 x1 x1-x2 x3 -x2 -x1 -x3 x2 x1 x3 -x1+x2 x2 -x3 x1-x2 -x2 x3 x1 x1-x2 -x3 -x1 -x1+x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P6/mcc No. 192 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 -x1 -x2 x3 x1 x2 -x3 x2 -x1+x2 x3 -x2 x1-x2 -x3 x1-x2 x1 x3 -x1+x2 -x1 -x3 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 x1-x2 -x2 -x3+1/2 -x1+x2 x2 x3+1/2 -x1 -x1+x2 -x3+1/2 x1 x1-x2 x3+1/2 -x2 -x1 -x3+1/2 x2 x1 x3+1/2 -x1+x2 x2 -x3+1/2 x1-x2 -x2 x3+1/2 x1 x1-x2 -x3+1/2 -x1 -x1+x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P63/mcm No. 193 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 -x1 -x2 x3+1/2 x1 x2 -x3+1/2 x2 -x1+x2 x3+1/2 -x2 x1-x2 -x3+1/2 x1-x2 x1 x3+1/2 -x1+x2 -x1 -x3+1/2 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 x1-x2 -x2 -x3+1/2 -x1+x2 x2 x3+1/2 -x1 -x1+x2 -x3+1/2 x1 x1-x2 x3+1/2 -x2 -x1 -x3 x2 x1 x3 -x1+x2 x2 -x3 x1-x2 -x2 x3 x1 x1-x2 -x3 -x1 -x1+x2 x3 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P63/mmc No. 194 x1 x2 x3 -x1 -x2 -x3 -x2 x1-x2 x3 x2 -x1+x2 -x3 -x1+x2 -x1 x3 x1-x2 x1 -x3 -x1 -x2 x3+1/2 x1 x2 -x3+1/2 x2 -x1+x2 x3+1/2 -x2 x1-x2 -x3+1/2 x1-x2 x1 x3+1/2 -x1+x2 -x1 -x3+1/2 x2 x1 -x3 -x2 -x1 x3 x1-x2 -x2 -x3 -x1+x2 x2 x3 -x1 -x1+x2 -x3 x1 x1-x2 x3 -x2 -x1 -x3+1/2 x2 x1 x3+1/2 -x1+x2 x2 -x3+1/2 x1-x2 -x2 x3+1/2 x1 x1-x2 -x3+1/2 -x1 -x1+x2 x3+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P23 No. 195 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # F23 No. 196 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # I23 No. 197 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P213 No. 198 x1 x2 x3 -x1+1/2 -x2 x3+1/2 -x1 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3 x3 x1 x2 x3+1/2 -x1+1/2 -x2 -x3+1/2 -x1 x2+1/2 -x3 x1+1/2 -x2+1/2 x2 x3 x1 -x2 x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 -x1 -x2+1/2 -x3 x1+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # I213 No. 199 x1 x2 x3 -x1+1/2 -x2 x3+1/2 -x1 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3 x3 x1 x2 x3+1/2 -x1+1/2 -x2 -x3+1/2 -x1 x2+1/2 -x3 x1+1/2 -x2+1/2 x2 x3 x1 -x2 x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 -x1 -x2+1/2 -x3 x1+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Pm-3 No. 200 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x3 x1 x2 -x3 -x1 -x2 x3 -x1 -x2 -x3 x1 x2 -x3 -x1 x2 x3 x1 -x2 -x3 x1 -x2 x3 -x1 x2 x2 x3 x1 -x2 -x3 -x1 -x2 x3 -x1 x2 -x3 x1 x2 -x3 -x1 -x2 x3 x1 -x2 -x3 x1 x2 x3 -x1 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pn-3 Pn-3:1 No. 201 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 -x3+1/2 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 -x1+1/2 -x2+1/2 x3+1/2 x1+1/2 x2+1/2 x3+1/2 -x1+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pn-3 Pn-3:2 No. 201 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 x1 -x2+1/2 -x3+1/2 -x1 x2+1/2 x3+1/2 x3 x1 x2 -x3 -x1 -x2 x3 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 -x3+1/2 -x1+1/2 x2 x3+1/2 x1+1/2 -x2 -x3+1/2 x1 -x2+1/2 x3+1/2 -x1 x2+1/2 x2 x3 x1 -x2 -x3 -x1 -x2+1/2 x3 -x1+1/2 x2+1/2 -x3 x1+1/2 x2 -x3+1/2 -x1+1/2 -x2 x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 x1 x2+1/2 x3+1/2 -x1 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Fm-3 No. 202 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x3 x1 x2 -x3 -x1 -x2 x3 -x1 -x2 -x3 x1 x2 -x3 -x1 x2 x3 x1 -x2 -x3 x1 -x2 x3 -x1 x2 x2 x3 x1 -x2 -x3 -x1 -x2 x3 -x1 x2 -x3 x1 x2 -x3 -x1 -x2 x3 x1 -x2 -x3 x1 x2 x3 -x1 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fd-3 Fd-3:1 No. 203 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 -x1+1/4 -x2+1/4 -x3+1/4 x1+1/4 x2+1/4 -x3+1/4 x1+1/4 -x2+1/4 x3+1/4 -x1+1/4 x2+1/4 x3+1/4 -x3+1/4 -x1+1/4 -x2+1/4 -x3+1/4 x1+1/4 x2+1/4 x3+1/4 x1+1/4 -x2+1/4 x3+1/4 -x1+1/4 x2+1/4 -x2+1/4 -x3+1/4 -x1+1/4 x2+1/4 -x3+1/4 x1+1/4 -x2+1/4 x3+1/4 x1+1/4 x2+1/4 x3+1/4 -x1+1/4 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fd-3 Fd-3:2 No. 203 x1 x2 x3 -x1 -x2 -x3 -x1+1/4 -x2+1/4 x3 x1+1/4 x2+1/4 -x3 -x1+1/4 x2 -x3+1/4 x1+1/4 -x2 x3+1/4 x1 -x2+1/4 -x3+1/4 -x1 x2+1/4 x3+1/4 x3 x1 x2 -x3 -x1 -x2 x3 -x1+1/4 -x2+1/4 -x3 x1+1/4 x2+1/4 -x3+1/4 -x1+1/4 x2 x3+1/4 x1+1/4 -x2 -x3+1/4 x1 -x2+1/4 x3+1/4 -x1 x2+1/4 x2 x3 x1 -x2 -x3 -x1 -x2+1/4 x3 -x1+1/4 x2+1/4 -x3 x1+1/4 x2 -x3+1/4 -x1+1/4 -x2 x3+1/4 x1+1/4 -x2+1/4 -x3+1/4 x1 x2+1/4 x3+1/4 -x1 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Im-3 No. 204 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x3 x1 x2 -x3 -x1 -x2 x3 -x1 -x2 -x3 x1 x2 -x3 -x1 x2 x3 x1 -x2 -x3 x1 -x2 x3 -x1 x2 x2 x3 x1 -x2 -x3 -x1 -x2 x3 -x1 x2 -x3 x1 x2 -x3 -x1 -x2 x3 x1 -x2 -x3 x1 x2 x3 -x1 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Pa-3 No. 205 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 x3 x1 x2 -x3 -x1 -x2 x3+1/2 -x1+1/2 -x2 -x3+1/2 x1+1/2 x2 -x3+1/2 -x1 x2+1/2 x3+1/2 x1 -x2+1/2 -x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x2 x3 x1 -x2 -x3 -x1 -x2 x3+1/2 -x1+1/2 x2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 -x1 -x2+1/2 x3+1/2 x1 -x2+1/2 -x3 x1+1/2 x2+1/2 x3 -x1+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Ia-3 No. 206 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 x3 x1 x2 -x3 -x1 -x2 x3+1/2 -x1+1/2 -x2 -x3+1/2 x1+1/2 x2 -x3+1/2 -x1 x2+1/2 x3+1/2 x1 -x2+1/2 -x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x2 x3 x1 -x2 -x3 -x1 -x2 x3+1/2 -x1+1/2 x2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 -x1 -x2+1/2 x3+1/2 x1 -x2+1/2 -x3 x1+1/2 x2+1/2 x3 -x1+1/2 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P432 No. 207 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2 x1 -x3 -x2 -x1 -x3 x2 -x1 x3 -x2 x1 x3 x1 x3 -x2 -x1 x3 x2 -x1 -x3 -x2 x1 -x3 x2 x3 x2 -x1 x3 -x2 x1 -x3 x2 x1 -x3 -x2 -x1 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4232 No. 208 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 x1+1/2 x3+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x2+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # F432 No. 209 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2 x1 -x3 -x2 -x1 -x3 x2 -x1 x3 -x2 x1 x3 x1 x3 -x2 -x1 x3 x2 -x1 -x3 -x2 x1 -x3 x2 x3 x2 -x1 x3 -x2 x1 -x3 x2 x1 -x3 -x2 -x1 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # F4132 No. 210 x1 x2 x3 -x1 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2 -x3+1/2 x3 x1 x2 x3+1/2 -x1 -x2+1/2 -x3 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2 x2 x3 x1 -x2+1/2 x3+1/2 -x1 x2+1/2 -x3 -x1+1/2 -x2 -x3+1/2 x1+1/2 x2+3/4 x1+1/4 -x3+3/4 -x2+1/4 -x1+1/4 -x3+1/4 x2+1/4 -x1+3/4 x3+3/4 -x2+3/4 x1+3/4 x3+1/4 x1+3/4 x3+1/4 -x2+3/4 -x1+3/4 x3+3/4 x2+1/4 -x1+1/4 -x3+1/4 -x2+1/4 x1+1/4 -x3+3/4 x2+3/4 x3+3/4 x2+1/4 -x1+3/4 x3+1/4 -x2+3/4 x1+3/4 -x3+3/4 x2+3/4 x1+1/4 -x3+1/4 -x2+1/4 -x1+1/4 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # I432 No. 211 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2 x1 -x3 -x2 -x1 -x3 x2 -x1 x3 -x2 x1 x3 x1 x3 -x2 -x1 x3 x2 -x1 -x3 -x2 x1 -x3 x2 x3 x2 -x1 x3 -x2 x1 -x3 x2 x1 -x3 -x2 -x1 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P4332 No. 212 x1 x2 x3 -x1+1/2 -x2 x3+1/2 -x1 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3 x3 x1 x2 x3+1/2 -x1+1/2 -x2 -x3+1/2 -x1 x2+1/2 -x3 x1+1/2 -x2+1/2 x2 x3 x1 -x2 x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 -x1 -x2+1/2 -x3 x1+1/2 x2+1/4 x1+3/4 -x3+3/4 -x2+1/4 -x1+1/4 -x3+1/4 x2+3/4 -x1+3/4 x3+1/4 -x2+3/4 x1+1/4 x3+3/4 x1+1/4 x3+3/4 -x2+3/4 -x1+3/4 x3+1/4 x2+3/4 -x1+1/4 -x3+1/4 -x2+1/4 x1+3/4 -x3+3/4 x2+1/4 x3+1/4 x2+3/4 -x1+3/4 x3+3/4 -x2+3/4 x1+1/4 -x3+3/4 x2+1/4 x1+3/4 -x3+1/4 -x2+1/4 -x1+1/4 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # P4132 No. 213 x1 x2 x3 -x1+1/2 -x2 x3+1/2 -x1 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3 x3 x1 x2 x3+1/2 -x1+1/2 -x2 -x3+1/2 -x1 x2+1/2 -x3 x1+1/2 -x2+1/2 x2 x3 x1 -x2 x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 -x1 -x2+1/2 -x3 x1+1/2 x2+3/4 x1+1/4 -x3+1/4 -x2+3/4 -x1+3/4 -x3+3/4 x2+1/4 -x1+1/4 x3+3/4 -x2+1/4 x1+3/4 x3+1/4 x1+3/4 x3+1/4 -x2+1/4 -x1+1/4 x3+3/4 x2+1/4 -x1+3/4 -x3+3/4 -x2+3/4 x1+1/4 -x3+1/4 x2+3/4 x3+3/4 x2+1/4 -x1+1/4 x3+1/4 -x2+1/4 x1+3/4 -x3+1/4 x2+3/4 x1+1/4 -x3+3/4 -x2+3/4 -x1+3/4 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # I4132 No. 214 x1 x2 x3 -x1+1/2 -x2 x3+1/2 -x1 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3 x3 x1 x2 x3+1/2 -x1+1/2 -x2 -x3+1/2 -x1 x2+1/2 -x3 x1+1/2 -x2+1/2 x2 x3 x1 -x2 x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 -x1 -x2+1/2 -x3 x1+1/2 x2+3/4 x1+1/4 -x3+1/4 -x2+3/4 -x1+3/4 -x3+3/4 x2+1/4 -x1+1/4 x3+3/4 -x2+1/4 x1+3/4 x3+1/4 x1+3/4 x3+1/4 -x2+1/4 -x1+1/4 x3+3/4 x2+1/4 -x1+3/4 -x3+3/4 -x2+3/4 x1+1/4 -x3+1/4 x2+3/4 x3+3/4 x2+1/4 -x1+1/4 x3+1/4 -x2+1/4 x1+3/4 -x3+1/4 x2+3/4 x1+1/4 -x3+3/4 -x2+3/4 -x1+3/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P-43m No. 215 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2 x1 x3 -x2 -x1 x3 x2 -x1 -x3 -x2 x1 -x3 x1 x3 x2 -x1 x3 -x2 -x1 -x3 x2 x1 -x3 -x2 x3 x2 x1 x3 -x2 -x1 -x3 x2 -x1 -x3 -x2 x1 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # F-43m No. 216 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2 x1 x3 -x2 -x1 x3 x2 -x1 -x3 -x2 x1 -x3 x1 x3 x2 -x1 x3 -x2 -x1 -x3 x2 x1 -x3 -x2 x3 x2 x1 x3 -x2 -x1 -x3 x2 -x1 -x3 -x2 x1 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # I-43m No. 217 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2 x1 x3 -x2 -x1 x3 x2 -x1 -x3 -x2 x1 -x3 x1 x3 x2 -x1 x3 -x2 -x1 -x3 x2 x1 -x3 -x2 x3 x2 x1 x3 -x2 -x1 -x3 x2 -x1 -x3 -x2 x1 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # P-43n No. 218 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 x3+1/2 x2+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # F-43c No. 219 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 x3+1/2 x2+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # I-43d No. 220 x1 x2 x3 -x1+1/2 -x2 x3+1/2 -x1 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 -x3 x3 x1 x2 x3+1/2 -x1+1/2 -x2 -x3+1/2 -x1 x2+1/2 -x3 x1+1/2 -x2+1/2 x2 x3 x1 x2+1/2 -x3+1/2 -x1 -x2 x3+1/2 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/4 x1+1/4 x3+1/4 -x2+1/4 -x1+3/4 x3+3/4 x2+3/4 -x1+1/4 -x3+3/4 -x2+3/4 x1+3/4 -x3+1/4 x1+1/4 x3+1/4 x2+1/4 -x1+3/4 x3+3/4 -x2+1/4 -x1+1/4 -x3+3/4 x2+3/4 x1+3/4 -x3+1/4 -x2+3/4 x3+1/4 x2+1/4 x1+1/4 x3+3/4 -x2+1/4 -x1+3/4 -x3+3/4 x2+3/4 -x1+1/4 -x3+1/4 -x2+3/4 x1+3/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Pm-3m No. 221 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x3 x1 x2 -x3 -x1 -x2 x3 -x1 -x2 -x3 x1 x2 -x3 -x1 x2 x3 x1 -x2 -x3 x1 -x2 x3 -x1 x2 x2 x3 x1 -x2 -x3 -x1 -x2 x3 -x1 x2 -x3 x1 x2 -x3 -x1 -x2 x3 x1 -x2 -x3 x1 x2 x3 -x1 x2 x1 -x3 -x2 -x1 x3 -x2 -x1 -x3 x2 x1 x3 x2 -x1 x3 -x2 x1 -x3 -x2 x1 x3 x2 -x1 -x3 x1 x3 -x2 -x1 -x3 x2 -x1 x3 x2 x1 -x3 -x2 -x1 -x3 -x2 x1 x3 x2 x1 -x3 x2 -x1 x3 -x2 x3 x2 -x1 -x3 -x2 x1 x3 -x2 x1 -x3 x2 -x1 -x3 x2 x1 x3 -x2 -x1 -x3 -x2 -x1 x3 x2 x1 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pn-3n Pn-3n:1 No. 222 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2 x1 -x3 -x2 -x1 -x3 x2 -x1 x3 -x2 x1 x3 x1 x3 -x2 -x1 x3 x2 -x1 -x3 -x2 x1 -x3 x2 x3 x2 -x1 x3 -x2 x1 -x3 x2 x1 -x3 -x2 -x1 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 -x3+1/2 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 -x2+1/2 -x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 x1+1/2 x2+1/2 x3+1/2 -x1+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 -x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pn-3n Pn-3n:2 No. 222 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 x1 -x2+1/2 -x3+1/2 -x1 x2+1/2 x3+1/2 x3 x1 x2 -x3 -x1 -x2 x3 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 -x3+1/2 -x1+1/2 x2 x3+1/2 x1+1/2 -x2 -x3+1/2 x1 -x2+1/2 x3+1/2 -x1 x2+1/2 x2 x3 x1 -x2 -x3 -x1 -x2+1/2 x3 -x1+1/2 x2+1/2 -x3 x1+1/2 x2 -x3+1/2 -x1+1/2 -x2 x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 x1 x2+1/2 x3+1/2 -x1 x2 x1 -x3+1/2 -x2 -x1 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 x2 -x1+1/2 x3 -x2 x1+1/2 -x3 -x2+1/2 x1 x3 x2+1/2 -x1 -x3 x1 x3 -x2+1/2 -x1 -x3 x2+1/2 -x1+1/2 x3 x2 x1+1/2 -x3 -x2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 x1 -x3+1/2 x2 -x1 x3+1/2 -x2 x3 x2 -x1+1/2 -x3 -x2 x1+1/2 x3 -x2+1/2 x1 -x3 x2+1/2 -x1 -x3+1/2 x2 x1 x3+1/2 -x2 -x1 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pm-3n No. 223 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x3 x1 x2 -x3 -x1 -x2 x3 -x1 -x2 -x3 x1 x2 -x3 -x1 x2 x3 x1 -x2 -x3 x1 -x2 x3 -x1 x2 x2 x3 x1 -x2 -x3 -x1 -x2 x3 -x1 x2 -x3 x1 x2 -x3 -x1 -x2 x3 x1 -x2 -x3 x1 x2 x3 -x1 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pn-3m Pn-3m:1 No. 224 x1 x2 x3 -x1 -x2 x3 -x1 x2 -x3 x1 -x2 -x3 x3 x1 x2 x3 -x1 -x2 -x3 -x1 x2 -x3 x1 -x2 x2 x3 x1 -x2 x3 -x1 x2 -x3 -x1 -x2 -x3 x1 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 x1+1/2 x3+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x2+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 x3+1/2 -x3+1/2 -x1+1/2 -x2+1/2 -x3+1/2 x1+1/2 x2+1/2 x3+1/2 x1+1/2 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 -x2+1/2 -x3+1/2 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2+1/2 x3+1/2 x1+1/2 x2+1/2 x3+1/2 -x1+1/2 -x2 -x1 x3 x2 x1 x3 -x2 x1 -x3 x2 -x1 -x3 -x1 -x3 x2 x1 -x3 -x2 x1 x3 x2 -x1 x3 -x2 -x3 -x2 x1 -x3 x2 -x1 x3 -x2 -x1 x3 x2 x1 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Pn-3m Pn-3m:2 No. 224 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2+1/2 x3 x1+1/2 x2+1/2 -x3 -x1+1/2 x2 -x3+1/2 x1+1/2 -x2 x3+1/2 x1 -x2+1/2 -x3+1/2 -x1 x2+1/2 x3+1/2 x3 x1 x2 -x3 -x1 -x2 x3 -x1+1/2 -x2+1/2 -x3 x1+1/2 x2+1/2 -x3+1/2 -x1+1/2 x2 x3+1/2 x1+1/2 -x2 -x3+1/2 x1 -x2+1/2 x3+1/2 -x1 x2+1/2 x2 x3 x1 -x2 -x3 -x1 -x2+1/2 x3 -x1+1/2 x2+1/2 -x3 x1+1/2 x2 -x3+1/2 -x1+1/2 -x2 x3+1/2 x1+1/2 -x2+1/2 -x3+1/2 x1 x2+1/2 x3+1/2 -x1 x2+1/2 x1+1/2 -x3 -x2+1/2 -x1+1/2 x3 -x2 -x1 -x3 x2 x1 x3 x2+1/2 -x1 x3+1/2 -x2+1/2 x1 -x3+1/2 -x2 x1+1/2 x3+1/2 x2 -x1+1/2 -x3+1/2 x1+1/2 x3+1/2 -x2 -x1+1/2 -x3+1/2 x2 -x1 x3+1/2 x2+1/2 x1 -x3+1/2 -x2+1/2 -x1 -x3 -x2 x1 x3 x2 x1+1/2 -x3 x2+1/2 -x1+1/2 x3 -x2+1/2 x3+1/2 x2+1/2 -x1 -x3+1/2 -x2+1/2 x1 x3+1/2 -x2 x1+1/2 -x3+1/2 x2 -x1+1/2 -x3 x2+1/2 x1+1/2 x3 -x2+1/2 -x1+1/2 -x3 -x2 -x1 x3 x2 x1 endsymmetry centers 0.0 0.0 0.0 endcenters symmetry # Fm-3m No. 225 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x3 x1 x2 -x3 -x1 -x2 x3 -x1 -x2 -x3 x1 x2 -x3 -x1 x2 x3 x1 -x2 -x3 x1 -x2 x3 -x1 x2 x2 x1 x3 -x2 -x1 -x3 -x2 x1 -x3 x2 -x1 x3 x2 -x1 -x3 -x2 x1 x3 -x2 -x1 x3 x2 x1 -x3 x2 x3 -x1 -x2 -x3 x1 -x2 -x3 -x1 x2 x3 x1 x2 -x3 x1 -x2 x3 -x1 -x2 x3 x1 x2 -x3 -x1 x1 x3 -x2 -x1 -x3 x2 -x1 x3 x2 x1 -x3 -x2 -x1 -x3 -x2 x1 x3 x2 x1 -x3 x2 -x1 x3 -x2 x3 x2 -x1 -x3 -x2 x1 x3 -x2 x1 -x3 x2 -x1 -x3 x2 x1 x3 -x2 -x1 -x3 -x2 -x1 x3 x2 x1 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fm-3c No. 226 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x3 x1 x2 -x3 -x1 -x2 x3 -x1 -x2 -x3 x1 x2 -x3 -x1 x2 x3 x1 -x2 -x3 x1 -x2 x3 -x1 x2 x2 x3 x1 -x2 -x3 -x1 -x2 x3 -x1 x2 -x3 x1 x2 -x3 -x1 -x2 x3 x1 -x2 -x3 x1 x2 x3 -x1 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 x3+1/2 -x2+1/2 x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 -x2+1/2 -x1+1/2 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fd-3m Fd-3m:1 No. 227 x1 x2 x3 -x1 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2 -x3+1/2 x3 x1 x2 x3+1/2 -x1 -x2+1/2 -x3 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2 x2 x3 x1 -x2+1/2 x3+1/2 -x1 x2+1/2 -x3 -x1+1/2 -x2 -x3+1/2 x1+1/2 x2+3/4 x1+1/4 -x3+3/4 -x2+1/4 -x1+1/4 -x3+1/4 x2+1/4 -x1+3/4 x3+3/4 -x2+3/4 x1+3/4 x3+1/4 x1+3/4 x3+1/4 -x2+3/4 -x1+3/4 x3+3/4 x2+1/4 -x1+1/4 -x3+1/4 -x2+1/4 x1+1/4 -x3+3/4 x2+3/4 x3+3/4 x2+1/4 -x1+3/4 x3+1/4 -x2+3/4 x1+3/4 -x3+3/4 x2+3/4 x1+1/4 -x3+1/4 -x2+1/4 -x1+1/4 -x1+1/4 -x2+1/4 -x3+1/4 x1+1/4 x2+3/4 -x3+3/4 x1+3/4 -x2+3/4 x3+1/4 -x1+3/4 x2+1/4 x3+3/4 -x3+1/4 -x1+1/4 -x2+1/4 -x3+3/4 x1+1/4 x2+3/4 x3+1/4 x1+3/4 -x2+3/4 x3+3/4 -x1+3/4 x2+1/4 -x2+1/4 -x3+1/4 -x1+1/4 x2+3/4 -x3+3/4 x1+1/4 -x2+3/4 x3+1/4 x1+3/4 x2+1/4 x3+3/4 -x1+3/4 -x2+1/2 -x1 x3+1/2 x2 x1 x3 -x2 x1+1/2 -x3+1/2 x2+1/2 -x1+1/2 -x3 -x1+1/2 -x3 x2+1/2 x1+1/2 -x3+1/2 -x2 x1 x3 x2 -x1 x3+1/2 -x2+1/2 -x3+1/2 -x2 x1+1/2 -x3 x2+1/2 -x1+1/2 x3+1/2 -x2+1/2 -x1 x3 x2 x1 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fd-3m Fd-3m:2 No. 227 x1 x2 x3 -x1 -x2 -x3 -x1+3/4 -x2+1/4 x3+1/2 x1+3/4 x2+1/4 -x3+1/2 -x1+1/4 x2+1/2 -x3+3/4 x1+1/4 -x2+1/2 x3+3/4 x1+1/2 -x2+3/4 -x3+1/4 -x1+1/2 x2+3/4 x3+1/4 x3 x1 x2 -x3 -x1 -x2 x3+1/2 -x1+3/4 -x2+1/4 -x3+1/2 x1+3/4 x2+1/4 -x3+3/4 -x1+1/4 x2+1/2 x3+3/4 x1+1/4 -x2+1/2 -x3+1/4 x1+1/2 -x2+3/4 x3+1/4 -x1+1/2 x2+3/4 x2 x3 x1 -x2 -x3 -x1 -x2+1/4 x3+1/2 -x1+3/4 x2+1/4 -x3+1/2 x1+3/4 x2+1/2 -x3+3/4 -x1+1/4 -x2+1/2 x3+3/4 x1+1/4 -x2+3/4 -x3+1/4 x1+1/2 x2+3/4 x3+1/4 -x1+1/2 x2+3/4 x1+1/4 -x3+1/2 -x2+3/4 -x1+1/4 x3+1/2 -x2 -x1 -x3 x2 x1 x3 x2+1/4 -x1+1/2 x3+3/4 -x2+1/4 x1+1/2 -x3+3/4 -x2+1/2 x1+3/4 x3+1/4 x2+1/2 -x1+3/4 -x3+1/4 x1+3/4 x3+1/4 -x2+1/2 -x1+3/4 -x3+1/4 x2+1/2 -x1+1/2 x3+3/4 x2+1/4 x1+1/2 -x3+3/4 -x2+1/4 -x1 -x3 -x2 x1 x3 x2 x1+1/4 -x3+1/2 x2+3/4 -x1+1/4 x3+1/2 -x2+3/4 x3+3/4 x2+1/4 -x1+1/2 -x3+3/4 -x2+1/4 x1+1/2 x3+1/4 -x2+1/2 x1+3/4 -x3+1/4 x2+1/2 -x1+3/4 -x3+1/2 x2+3/4 x1+1/4 x3+1/2 -x2+3/4 -x1+1/4 -x3 -x2 -x1 x3 x2 x1 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fd-3c Fd-3c:1 No. 228 x1 x2 x3 -x1 -x2+1/2 x3+1/2 -x1+1/2 x2+1/2 -x3 x1+1/2 -x2 -x3+1/2 x3 x1 x2 x3+1/2 -x1 -x2+1/2 -x3 -x1+1/2 x2+1/2 -x3+1/2 x1+1/2 -x2 x2 x3 x1 -x2+1/2 x3+1/2 -x1 x2+1/2 -x3 -x1+1/2 -x2 -x3+1/2 x1+1/2 x2+3/4 x1+1/4 -x3+3/4 -x2+1/4 -x1+1/4 -x3+1/4 x2+1/4 -x1+3/4 x3+3/4 -x2+3/4 x1+3/4 x3+1/4 x1+3/4 x3+1/4 -x2+3/4 -x1+3/4 x3+3/4 x2+1/4 -x1+1/4 -x3+1/4 -x2+1/4 x1+1/4 -x3+3/4 x2+3/4 x3+3/4 x2+1/4 -x1+3/4 x3+1/4 -x2+3/4 x1+3/4 -x3+3/4 x2+3/4 x1+1/4 -x3+1/4 -x2+1/4 -x1+1/4 -x1+3/4 -x2+3/4 -x3+3/4 x1+3/4 x2+1/4 -x3+1/4 x1+1/4 -x2+1/4 x3+3/4 -x1+1/4 x2+3/4 x3+1/4 -x3+3/4 -x1+3/4 -x2+3/4 -x3+1/4 x1+3/4 x2+1/4 x3+3/4 x1+1/4 -x2+1/4 x3+1/4 -x1+1/4 x2+3/4 -x2+3/4 -x3+3/4 -x1+3/4 x2+1/4 -x3+1/4 x1+3/4 -x2+1/4 x3+3/4 x1+1/4 x2+3/4 x3+1/4 -x1+1/4 -x2 -x1+1/2 x3 x2+1/2 x1+1/2 x3+1/2 -x2+1/2 x1 -x3 x2 -x1 -x3+1/2 -x1 -x3+1/2 x2 x1 -x3 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 -x1+1/2 x3 -x2 -x3 -x2+1/2 x1 -x3+1/2 x2 -x1 x3 -x2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Fd-3c Fd-3c:2 No. 228 x1 x2 x3 -x1 -x2 -x3 -x1+1/4 -x2+3/4 x3+1/2 x1+1/4 x2+3/4 -x3+1/2 -x1+3/4 x2+1/2 -x3+1/4 x1+3/4 -x2+1/2 x3+1/4 x1+1/2 -x2+1/4 -x3+3/4 -x1+1/2 x2+1/4 x3+3/4 x3 x1 x2 -x3 -x1 -x2 x3+1/2 -x1+1/4 -x2+3/4 -x3+1/2 x1+1/4 x2+3/4 -x3+1/4 -x1+3/4 x2+1/2 x3+1/4 x1+3/4 -x2+1/2 -x3+3/4 x1+1/2 -x2+1/4 x3+3/4 -x1+1/2 x2+1/4 x2 x3 x1 -x2 -x3 -x1 -x2+3/4 x3+1/2 -x1+1/4 x2+3/4 -x3+1/2 x1+1/4 x2+1/2 -x3+1/4 -x1+3/4 -x2+1/2 x3+1/4 x1+3/4 -x2+1/4 -x3+3/4 x1+1/2 x2+1/4 x3+3/4 -x1+1/2 x2+3/4 x1+1/4 -x3 -x2+3/4 -x1+1/4 x3 -x2+1/2 -x1+1/2 -x3+1/2 x2+1/2 x1+1/2 x3+1/2 x2+1/4 -x1 x3+3/4 -x2+1/4 x1 -x3+3/4 -x2 x1+3/4 x3+1/4 x2 -x1+3/4 -x3+1/4 x1+3/4 x3+1/4 -x2 -x1+3/4 -x3+1/4 x2 -x1 x3+3/4 x2+1/4 x1 -x3+3/4 -x2+1/4 -x1+1/2 -x3+1/2 -x2+1/2 x1+1/2 x3+1/2 x2+1/2 x1+1/4 -x3 x2+3/4 -x1+1/4 x3 -x2+3/4 x3+3/4 x2+1/4 -x1 -x3+3/4 -x2+1/4 x1 x3+1/4 -x2 x1+3/4 -x3+1/4 x2 -x1+3/4 -x3 x2+3/4 x1+1/4 x3 -x2+3/4 -x1+1/4 -x3+1/2 -x2+1/2 -x1+1/2 x3+1/2 x2+1/2 x1+1/2 endsymmetry centers 0.0 0.0 0.0 0.0 0.5 0.5 0.5 0.0 0.5 0.5 0.5 0.0 endcenters symmetry # Im-3m No. 229 x1 x2 x3 -x1 -x2 -x3 -x1 -x2 x3 x1 x2 -x3 -x1 x2 -x3 x1 -x2 x3 x1 -x2 -x3 -x1 x2 x3 x3 x1 x2 -x3 -x1 -x2 x3 -x1 -x2 -x3 x1 x2 -x3 -x1 x2 x3 x1 -x2 -x3 x1 -x2 x3 -x1 x2 x2 x3 x1 -x2 -x3 -x1 -x2 x3 -x1 x2 -x3 x1 x2 -x3 -x1 -x2 x3 x1 -x2 -x3 x1 x2 x3 -x1 x2 x1 -x3 -x2 -x1 x3 -x2 -x1 -x3 x2 x1 x3 x2 -x1 x3 -x2 x1 -x3 -x2 x1 x3 x2 -x1 -x3 x1 x3 -x2 -x1 -x3 x2 -x1 x3 x2 x1 -x3 -x2 -x1 -x3 -x2 x1 x3 x2 x1 -x3 x2 -x1 x3 -x2 x3 x2 -x1 -x3 -x2 x1 x3 -x2 x1 -x3 x2 -x1 -x3 x2 x1 x3 -x2 -x1 -x3 -x2 -x1 x3 x2 x1 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters symmetry # Ia-3d No. 230 x1 x2 x3 -x1 -x2 -x3 -x1+1/2 -x2 x3+1/2 x1+1/2 x2 -x3+1/2 -x1 x2+1/2 -x3+1/2 x1 -x2+1/2 x3+1/2 x1+1/2 -x2+1/2 -x3 -x1+1/2 x2+1/2 x3 x3 x1 x2 -x3 -x1 -x2 x3+1/2 -x1+1/2 -x2 -x3+1/2 x1+1/2 x2 -x3+1/2 -x1 x2+1/2 x3+1/2 x1 -x2+1/2 -x3 x1+1/2 -x2+1/2 x3 -x1+1/2 x2+1/2 x2 x3 x1 -x2 -x3 -x1 -x2 x3+1/2 -x1+1/2 x2 -x3+1/2 x1+1/2 x2+1/2 -x3+1/2 -x1 -x2+1/2 x3+1/2 x1 -x2+1/2 -x3 x1+1/2 x2+1/2 x3 -x1+1/2 x2+3/4 x1+1/4 -x3+1/4 -x2+3/4 -x1+1/4 x3+1/4 -x2+3/4 -x1+3/4 -x3+3/4 x2+3/4 x1+3/4 x3+3/4 x2+1/4 -x1+1/4 x3+3/4 -x2+1/4 x1+1/4 -x3+3/4 -x2+1/4 x1+3/4 x3+1/4 x2+1/4 -x1+3/4 -x3+1/4 x1+3/4 x3+1/4 -x2+1/4 -x1+3/4 -x3+1/4 x2+1/4 -x1+1/4 x3+3/4 x2+1/4 x1+1/4 -x3+3/4 -x2+1/4 -x1+3/4 -x3+3/4 -x2+3/4 x1+3/4 x3+3/4 x2+3/4 x1+1/4 -x3+1/4 x2+3/4 -x1+1/4 x3+1/4 -x2+3/4 x3+3/4 x2+1/4 -x1+1/4 -x3+3/4 -x2+1/4 x1+1/4 x3+1/4 -x2+1/4 x1+3/4 -x3+1/4 x2+1/4 -x1+3/4 -x3+1/4 x2+3/4 x1+1/4 x3+1/4 -x2+3/4 -x1+1/4 -x3+3/4 -x2+3/4 -x1+3/4 x3+3/4 x2+3/4 x1+3/4 endsymmetry centers 0.0 0.0 0.0 0.5 0.5 0.5 endcenters