| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C12.1(S3×C6) = C3×D4.D9 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 4 | C12.1(S3xC6) | 432,148 |
| C12.2(S3×C6) = C3×D4⋊D9 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 4 | C12.2(S3xC6) | 432,149 |
| C12.3(S3×C6) = He3⋊8SD16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12- | C12.3(S3xC6) | 432,152 |
| C12.4(S3×C6) = He3⋊6D8 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12+ | C12.4(S3xC6) | 432,153 |
| C12.5(S3×C6) = Dic18⋊C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12- | C12.5(S3xC6) | 432,154 |
| C12.6(S3×C6) = D36⋊C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12+ | C12.6(S3xC6) | 432,155 |
| C12.7(S3×C6) = C3×C9⋊Q16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | 4 | C12.7(S3xC6) | 432,156 |
| C12.8(S3×C6) = C3×Q8⋊2D9 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | 4 | C12.8(S3xC6) | 432,157 |
| C12.9(S3×C6) = He3⋊6Q16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | 12- | C12.9(S3xC6) | 432,160 |
| C12.10(S3×C6) = He3⋊10SD16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12+ | C12.10(S3xC6) | 432,161 |
| C12.11(S3×C6) = Dic18.C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | 12- | C12.11(S3xC6) | 432,162 |
| C12.12(S3×C6) = D36.C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12+ | C12.12(S3xC6) | 432,163 |
| C12.13(S3×C6) = C3×D4×D9 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 4 | C12.13(S3xC6) | 432,356 |
| C12.14(S3×C6) = C3×D4⋊2D9 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 4 | C12.14(S3xC6) | 432,357 |
| C12.15(S3×C6) = D4×C32⋊C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 36 | 12+ | C12.15(S3xC6) | 432,360 |
| C12.16(S3×C6) = C62.13D6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12- | C12.16(S3xC6) | 432,361 |
| C12.17(S3×C6) = D4×C9⋊C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 36 | 12+ | C12.17(S3xC6) | 432,362 |
| C12.18(S3×C6) = Dic18⋊2C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12- | C12.18(S3xC6) | 432,363 |
| C12.19(S3×C6) = C3×Q8×D9 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | 4 | C12.19(S3xC6) | 432,364 |
| C12.20(S3×C6) = C3×Q8⋊3D9 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | 4 | C12.20(S3xC6) | 432,365 |
| C12.21(S3×C6) = Q8×C32⋊C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12- | C12.21(S3xC6) | 432,368 |
| C12.22(S3×C6) = (Q8×He3)⋊C2 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12+ | C12.22(S3xC6) | 432,369 |
| C12.23(S3×C6) = Q8×C9⋊C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12- | C12.23(S3xC6) | 432,370 |
| C12.24(S3×C6) = D36⋊3C6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | 12+ | C12.24(S3xC6) | 432,371 |
| C12.25(S3×C6) = C3×C32⋊2D8 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.25(S3xC6) | 432,418 |
| C12.26(S3×C6) = C3×C3⋊D24 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.26(S3xC6) | 432,419 |
| C12.27(S3×C6) = C3×Dic6⋊S3 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.27(S3xC6) | 432,420 |
| C12.28(S3×C6) = C3×D12.S3 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.28(S3xC6) | 432,421 |
| C12.29(S3×C6) = C3×C32⋊5SD16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.29(S3xC6) | 432,422 |
| C12.30(S3×C6) = C3×C32⋊2Q16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.30(S3xC6) | 432,423 |
| C12.31(S3×C6) = C3×C32⋊3Q16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.31(S3xC6) | 432,424 |
| C12.32(S3×C6) = C3×C32⋊7D8 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | | C12.32(S3xC6) | 432,491 |
| C12.33(S3×C6) = C3×C32⋊9SD16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | | C12.33(S3xC6) | 432,492 |
| C12.34(S3×C6) = C3×C32⋊11SD16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | | C12.34(S3xC6) | 432,493 |
| C12.35(S3×C6) = C3×C32⋊7Q16 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | | C12.35(S3xC6) | 432,494 |
| C12.36(S3×C6) = C3×D12⋊5S3 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.36(S3xC6) | 432,643 |
| C12.37(S3×C6) = C3×D12⋊S3 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.37(S3xC6) | 432,644 |
| C12.38(S3×C6) = C3×Dic3.D6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 48 | 4 | C12.38(S3xC6) | 432,645 |
| C12.39(S3×C6) = C3×C12.D6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 72 | | C12.39(S3xC6) | 432,715 |
| C12.40(S3×C6) = C3×Q8×C3⋊S3 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | | C12.40(S3xC6) | 432,716 |
| C12.41(S3×C6) = C3×C12.26D6 | φ: S3×C6/C32 → C22 ⊆ Aut C12 | 144 | | C12.41(S3xC6) | 432,717 |
| C12.42(S3×C6) = C3×S3×Dic6 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.42(S3xC6) | 432,642 |
| C12.43(S3×C6) = C3×D6.6D6 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.43(S3xC6) | 432,647 |
| C12.44(S3×C6) = C3×S3×C3⋊C8 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.44(S3xC6) | 432,414 |
| C12.45(S3×C6) = C3×C12.29D6 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.45(S3xC6) | 432,415 |
| C12.46(S3×C6) = C3×D6.Dic3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.46(S3xC6) | 432,416 |
| C12.47(S3×C6) = C3×C12.31D6 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.47(S3xC6) | 432,417 |
| C12.48(S3×C6) = C3×D6.D6 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.48(S3xC6) | 432,646 |
| C12.49(S3×C6) = C9×D4⋊S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 72 | 4 | C12.49(S3xC6) | 432,150 |
| C12.50(S3×C6) = C9×D4.S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 72 | 4 | C12.50(S3xC6) | 432,151 |
| C12.51(S3×C6) = C9×Q8⋊2S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 144 | 4 | C12.51(S3xC6) | 432,158 |
| C12.52(S3×C6) = C9×C3⋊Q16 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 144 | 4 | C12.52(S3xC6) | 432,159 |
| C12.53(S3×C6) = S3×D4×C9 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 72 | 4 | C12.53(S3xC6) | 432,358 |
| C12.54(S3×C6) = C9×D4⋊2S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 72 | 4 | C12.54(S3xC6) | 432,359 |
| C12.55(S3×C6) = S3×Q8×C9 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 144 | 4 | C12.55(S3xC6) | 432,366 |
| C12.56(S3×C6) = C9×Q8⋊3S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 144 | 4 | C12.56(S3xC6) | 432,367 |
| C12.57(S3×C6) = C32×D4⋊S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 72 | | C12.57(S3xC6) | 432,475 |
| C12.58(S3×C6) = C32×D4.S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 72 | | C12.58(S3xC6) | 432,476 |
| C12.59(S3×C6) = C32×Q8⋊2S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 144 | | C12.59(S3xC6) | 432,477 |
| C12.60(S3×C6) = C32×C3⋊Q16 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 144 | | C12.60(S3xC6) | 432,478 |
| C12.61(S3×C6) = C32×D4⋊2S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 72 | | C12.61(S3xC6) | 432,705 |
| C12.62(S3×C6) = S3×Q8×C32 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 144 | | C12.62(S3xC6) | 432,706 |
| C12.63(S3×C6) = C32×Q8⋊3S3 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C12 | 144 | | C12.63(S3xC6) | 432,707 |
| C12.64(S3×C6) = C3×Dic36 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.64(S3xC6) | 432,104 |
| C12.65(S3×C6) = C3×C72⋊C2 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.65(S3xC6) | 432,107 |
| C12.66(S3×C6) = C3×D72 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.66(S3xC6) | 432,108 |
| C12.67(S3×C6) = He3⋊4Q16 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 6- | C12.67(S3xC6) | 432,114 |
| C12.68(S3×C6) = He3⋊6SD16 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.68(S3xC6) | 432,117 |
| C12.69(S3×C6) = He3⋊4D8 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6+ | C12.69(S3xC6) | 432,118 |
| C12.70(S3×C6) = C72.C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 6- | C12.70(S3xC6) | 432,119 |
| C12.71(S3×C6) = C72⋊2C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.71(S3xC6) | 432,122 |
| C12.72(S3×C6) = D72⋊C3 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6+ | C12.72(S3xC6) | 432,123 |
| C12.73(S3×C6) = C6×Dic18 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.73(S3xC6) | 432,340 |
| C12.74(S3×C6) = C6×D36 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.74(S3xC6) | 432,343 |
| C12.75(S3×C6) = C3×D36⋊5C2 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 2 | C12.75(S3xC6) | 432,344 |
| C12.76(S3×C6) = C2×He3⋊3Q8 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.76(S3xC6) | 432,348 |
| C12.77(S3×C6) = C2×He3⋊4D4 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | | C12.77(S3xC6) | 432,350 |
| C12.78(S3×C6) = C2×C36.C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.78(S3xC6) | 432,352 |
| C12.79(S3×C6) = C2×D36⋊C3 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | | C12.79(S3xC6) | 432,354 |
| C12.80(S3×C6) = C3×C24⋊2S3 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.80(S3xC6) | 432,482 |
| C12.81(S3×C6) = C3×C32⋊5D8 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.81(S3xC6) | 432,483 |
| C12.82(S3×C6) = C3×C32⋊5Q16 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.82(S3xC6) | 432,484 |
| C12.83(S3×C6) = C6×C32⋊4Q8 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.83(S3xC6) | 432,710 |
| C12.84(S3×C6) = D9×C24 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.84(S3xC6) | 432,105 |
| C12.85(S3×C6) = C3×C8⋊D9 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.85(S3xC6) | 432,106 |
| C12.86(S3×C6) = C8×C32⋊C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.86(S3xC6) | 432,115 |
| C12.87(S3×C6) = He3⋊5M4(2) | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.87(S3xC6) | 432,116 |
| C12.88(S3×C6) = C8×C9⋊C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.88(S3xC6) | 432,120 |
| C12.89(S3×C6) = C72⋊C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.89(S3xC6) | 432,121 |
| C12.90(S3×C6) = C6×C9⋊C8 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.90(S3xC6) | 432,124 |
| C12.91(S3×C6) = C3×C4.Dic9 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 2 | C12.91(S3xC6) | 432,125 |
| C12.92(S3×C6) = C2×He3⋊3C8 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.92(S3xC6) | 432,136 |
| C12.93(S3×C6) = He3⋊7M4(2) | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.93(S3xC6) | 432,137 |
| C12.94(S3×C6) = C2×C9⋊C24 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.94(S3xC6) | 432,142 |
| C12.95(S3×C6) = C36.C12 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.95(S3xC6) | 432,143 |
| C12.96(S3×C6) = D9×C2×C12 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.96(S3xC6) | 432,342 |
| C12.97(S3×C6) = C2×C4×C32⋊C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | | C12.97(S3xC6) | 432,349 |
| C12.98(S3×C6) = C62.36D6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.98(S3xC6) | 432,351 |
| C12.99(S3×C6) = C2×C4×C9⋊C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | | C12.99(S3xC6) | 432,353 |
| C12.100(S3×C6) = D36⋊6C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 6 | C12.100(S3xC6) | 432,355 |
| C12.101(S3×C6) = C3⋊S3×C24 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.101(S3xC6) | 432,480 |
| C12.102(S3×C6) = C3×C24⋊S3 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.102(S3xC6) | 432,481 |
| C12.103(S3×C6) = C6×C32⋊4C8 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.103(S3xC6) | 432,485 |
| C12.104(S3×C6) = C3×C12.58D6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | | C12.104(S3xC6) | 432,486 |
| C12.105(S3×C6) = C3×C12.59D6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | | C12.105(S3xC6) | 432,713 |
| C12.106(S3×C6) = C9×C24⋊C2 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.106(S3xC6) | 432,111 |
| C12.107(S3×C6) = C9×D24 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.107(S3xC6) | 432,112 |
| C12.108(S3×C6) = C9×Dic12 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.108(S3xC6) | 432,113 |
| C12.109(S3×C6) = C18×Dic6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.109(S3xC6) | 432,341 |
| C12.110(S3×C6) = C18×D12 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.110(S3xC6) | 432,346 |
| C12.111(S3×C6) = C9×C4○D12 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 72 | 2 | C12.111(S3xC6) | 432,347 |
| C12.112(S3×C6) = C32×C24⋊C2 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.112(S3xC6) | 432,466 |
| C12.113(S3×C6) = C32×D24 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.113(S3xC6) | 432,467 |
| C12.114(S3×C6) = C32×Dic12 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.114(S3xC6) | 432,468 |
| C12.115(S3×C6) = C3×C6×Dic6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C12 | 144 | | C12.115(S3xC6) | 432,700 |
| C12.116(S3×C6) = S3×C72 | central extension (φ=1) | 144 | 2 | C12.116(S3xC6) | 432,109 |
| C12.117(S3×C6) = C9×C8⋊S3 | central extension (φ=1) | 144 | 2 | C12.117(S3xC6) | 432,110 |
| C12.118(S3×C6) = C18×C3⋊C8 | central extension (φ=1) | 144 | | C12.118(S3xC6) | 432,126 |
| C12.119(S3×C6) = C9×C4.Dic3 | central extension (φ=1) | 72 | 2 | C12.119(S3xC6) | 432,127 |
| C12.120(S3×C6) = S3×C2×C36 | central extension (φ=1) | 144 | | C12.120(S3xC6) | 432,345 |
| C12.121(S3×C6) = S3×C3×C24 | central extension (φ=1) | 144 | | C12.121(S3xC6) | 432,464 |
| C12.122(S3×C6) = C32×C8⋊S3 | central extension (φ=1) | 144 | | C12.122(S3xC6) | 432,465 |
| C12.123(S3×C6) = C3×C6×C3⋊C8 | central extension (φ=1) | 144 | | C12.123(S3xC6) | 432,469 |
| C12.124(S3×C6) = C32×C4.Dic3 | central extension (φ=1) | 72 | | C12.124(S3xC6) | 432,470 |
| C12.125(S3×C6) = C32×C4○D12 | central extension (φ=1) | 72 | | C12.125(S3xC6) | 432,703 |