| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C12.1(C22×S3) = S3×D4⋊S3 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.1(C2^2xS3) | 288,572 |
| C12.2(C22×S3) = Dic6⋊3D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.2(C2^2xS3) | 288,573 |
| C12.3(C22×S3) = D12⋊D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 24 | 8+ | C12.3(C2^2xS3) | 288,574 |
| C12.4(C22×S3) = D12.D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.4(C2^2xS3) | 288,575 |
| C12.5(C22×S3) = S3×D4.S3 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.5(C2^2xS3) | 288,576 |
| C12.6(C22×S3) = Dic6.19D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.6(C2^2xS3) | 288,577 |
| C12.7(C22×S3) = Dic6⋊D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 24 | 8+ | C12.7(C2^2xS3) | 288,578 |
| C12.8(C22×S3) = Dic6.D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.8(C2^2xS3) | 288,579 |
| C12.9(C22×S3) = D12⋊9D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.9(C2^2xS3) | 288,580 |
| C12.10(C22×S3) = D12.22D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.10(C2^2xS3) | 288,581 |
| C12.11(C22×S3) = D12.7D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.11(C2^2xS3) | 288,582 |
| C12.12(C22×S3) = Dic6.20D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.12(C2^2xS3) | 288,583 |
| C12.13(C22×S3) = D12.8D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.13(C2^2xS3) | 288,584 |
| C12.14(C22×S3) = D12⋊5D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 24 | 8+ | C12.14(C2^2xS3) | 288,585 |
| C12.15(C22×S3) = S3×Q8⋊2S3 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.15(C2^2xS3) | 288,586 |
| C12.16(C22×S3) = D12⋊6D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.16(C2^2xS3) | 288,587 |
| C12.17(C22×S3) = D12.9D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.17(C2^2xS3) | 288,588 |
| C12.18(C22×S3) = D12.10D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.18(C2^2xS3) | 288,589 |
| C12.19(C22×S3) = S3×C3⋊Q16 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 96 | 8- | C12.19(C2^2xS3) | 288,590 |
| C12.20(C22×S3) = D12.11D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 96 | 8- | C12.20(C2^2xS3) | 288,591 |
| C12.21(C22×S3) = Dic6.9D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.21(C2^2xS3) | 288,592 |
| C12.22(C22×S3) = Dic6.10D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.22(C2^2xS3) | 288,593 |
| C12.23(C22×S3) = D12.24D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 96 | 8- | C12.23(C2^2xS3) | 288,594 |
| C12.24(C22×S3) = D12.12D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 96 | 8- | C12.24(C2^2xS3) | 288,595 |
| C12.25(C22×S3) = Dic6.22D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.25(C2^2xS3) | 288,596 |
| C12.26(C22×S3) = D12.13D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.26(C2^2xS3) | 288,597 |
| C12.27(C22×S3) = D12.14D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.27(C2^2xS3) | 288,598 |
| C12.28(C22×S3) = D12.15D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.28(C2^2xS3) | 288,599 |
| C12.29(C22×S3) = Dic6.24D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.29(C2^2xS3) | 288,957 |
| C12.30(C22×S3) = S3×D4⋊2S3 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.30(C2^2xS3) | 288,959 |
| C12.31(C22×S3) = Dic6⋊12D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 24 | 8+ | C12.31(C2^2xS3) | 288,960 |
| C12.32(C22×S3) = D12⋊12D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.32(C2^2xS3) | 288,961 |
| C12.33(C22×S3) = D12⋊13D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 24 | 8+ | C12.33(C2^2xS3) | 288,962 |
| C12.34(C22×S3) = D12.25D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.34(C2^2xS3) | 288,963 |
| C12.35(C22×S3) = Dic6.26D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.35(C2^2xS3) | 288,964 |
| C12.36(C22×S3) = S32×Q8 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.36(C2^2xS3) | 288,965 |
| C12.37(C22×S3) = S3×Q8⋊3S3 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.37(C2^2xS3) | 288,966 |
| C12.38(C22×S3) = D12⋊15D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8- | C12.38(C2^2xS3) | 288,967 |
| C12.39(C22×S3) = D12⋊16D6 | φ: C22×S3/S3 → C22 ⊆ Aut C12 | 48 | 8+ | C12.39(C2^2xS3) | 288,968 |
| C12.40(C22×S3) = D8×D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | 4+ | C12.40(C2^2xS3) | 288,120 |
| C12.41(C22×S3) = D8⋊D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | 4 | C12.41(C2^2xS3) | 288,121 |
| C12.42(C22×S3) = D8⋊3D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4- | C12.42(C2^2xS3) | 288,122 |
| C12.43(C22×S3) = SD16×D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | 4 | C12.43(C2^2xS3) | 288,123 |
| C12.44(C22×S3) = D72⋊C2 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | 4+ | C12.44(C2^2xS3) | 288,124 |
| C12.45(C22×S3) = SD16⋊D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4- | C12.45(C2^2xS3) | 288,125 |
| C12.46(C22×S3) = SD16⋊3D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4 | C12.46(C2^2xS3) | 288,126 |
| C12.47(C22×S3) = Q16×D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4- | C12.47(C2^2xS3) | 288,127 |
| C12.48(C22×S3) = Q16⋊D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4 | C12.48(C2^2xS3) | 288,128 |
| C12.49(C22×S3) = D72⋊5C2 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4+ | C12.49(C2^2xS3) | 288,129 |
| C12.50(C22×S3) = C2×D4.D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.50(C2^2xS3) | 288,141 |
| C12.51(C22×S3) = C2×D4⋊D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.51(C2^2xS3) | 288,142 |
| C12.52(C22×S3) = D36⋊6C22 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | 4 | C12.52(C2^2xS3) | 288,143 |
| C12.53(C22×S3) = C2×C9⋊Q16 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 288 | | C12.53(C2^2xS3) | 288,151 |
| C12.54(C22×S3) = C2×Q8⋊2D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.54(C2^2xS3) | 288,152 |
| C12.55(C22×S3) = C36.C23 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4 | C12.55(C2^2xS3) | 288,153 |
| C12.56(C22×S3) = D4.D18 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4- | C12.56(C2^2xS3) | 288,159 |
| C12.57(C22×S3) = D4⋊D18 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | 4+ | C12.57(C2^2xS3) | 288,160 |
| C12.58(C22×S3) = D4.9D18 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4 | C12.58(C2^2xS3) | 288,161 |
| C12.59(C22×S3) = C2×D4×D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.59(C2^2xS3) | 288,356 |
| C12.60(C22×S3) = C2×D4⋊2D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.60(C2^2xS3) | 288,357 |
| C12.61(C22×S3) = D4⋊6D18 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | 4 | C12.61(C2^2xS3) | 288,358 |
| C12.62(C22×S3) = C2×Q8×D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.62(C2^2xS3) | 288,359 |
| C12.63(C22×S3) = C2×Q8⋊3D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.63(C2^2xS3) | 288,360 |
| C12.64(C22×S3) = Q8.15D18 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | 4 | C12.64(C2^2xS3) | 288,361 |
| C12.65(C22×S3) = C4○D4×D9 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | 4 | C12.65(C2^2xS3) | 288,362 |
| C12.66(C22×S3) = S3×C24⋊C2 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.66(C2^2xS3) | 288,440 |
| C12.67(C22×S3) = C24⋊9D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.67(C2^2xS3) | 288,444 |
| C12.68(C22×S3) = C24⋊4D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.68(C2^2xS3) | 288,445 |
| C12.69(C22×S3) = C24⋊6D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.69(C2^2xS3) | 288,446 |
| C12.70(C22×S3) = C24.23D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.70(C2^2xS3) | 288,450 |
| C12.71(C22×S3) = D6.1D12 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.71(C2^2xS3) | 288,454 |
| C12.72(C22×S3) = D24⋊7S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 96 | 4- | C12.72(C2^2xS3) | 288,455 |
| C12.73(C22×S3) = D6.3D12 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4+ | C12.73(C2^2xS3) | 288,456 |
| C12.74(C22×S3) = D12.2D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.74(C2^2xS3) | 288,457 |
| C12.75(C22×S3) = D24⋊5S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.75(C2^2xS3) | 288,458 |
| C12.76(C22×S3) = D12.4D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.76(C2^2xS3) | 288,459 |
| C12.77(C22×S3) = C2×C32⋊2D8 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 96 | | C12.77(C2^2xS3) | 288,469 |
| C12.78(C22×S3) = D12.30D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.78(C2^2xS3) | 288,470 |
| C12.79(C22×S3) = D12⋊20D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.79(C2^2xS3) | 288,471 |
| C12.80(C22×S3) = C2×C3⋊D24 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | | C12.80(C2^2xS3) | 288,472 |
| C12.81(C22×S3) = C2×Dic6⋊S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 96 | | C12.81(C2^2xS3) | 288,474 |
| C12.82(C22×S3) = D12.32D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.82(C2^2xS3) | 288,475 |
| C12.83(C22×S3) = C2×D12.S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 96 | | C12.83(C2^2xS3) | 288,476 |
| C12.84(C22×S3) = D12.29D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4- | C12.84(C2^2xS3) | 288,479 |
| C12.85(C22×S3) = Dic6.29D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.85(C2^2xS3) | 288,481 |
| C12.86(C22×S3) = C2×C32⋊2Q16 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 96 | | C12.86(C2^2xS3) | 288,482 |
| C12.87(C22×S3) = D8×C3⋊S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.87(C2^2xS3) | 288,767 |
| C12.88(C22×S3) = C24⋊8D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.88(C2^2xS3) | 288,768 |
| C12.89(C22×S3) = C24.26D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.89(C2^2xS3) | 288,769 |
| C12.90(C22×S3) = SD16×C3⋊S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.90(C2^2xS3) | 288,770 |
| C12.91(C22×S3) = C24⋊7D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.91(C2^2xS3) | 288,771 |
| C12.92(C22×S3) = C24.32D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.92(C2^2xS3) | 288,772 |
| C12.93(C22×S3) = C24.40D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.93(C2^2xS3) | 288,773 |
| C12.94(C22×S3) = Q16×C3⋊S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.94(C2^2xS3) | 288,774 |
| C12.95(C22×S3) = C24.35D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.95(C2^2xS3) | 288,775 |
| C12.96(C22×S3) = C24.28D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.96(C2^2xS3) | 288,776 |
| C12.97(C22×S3) = C2×C32⋊7D8 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.97(C2^2xS3) | 288,788 |
| C12.98(C22×S3) = C62.131D4 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.98(C2^2xS3) | 288,789 |
| C12.99(C22×S3) = C2×C32⋊9SD16 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.99(C2^2xS3) | 288,790 |
| C12.100(C22×S3) = C2×C32⋊11SD16 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.100(C2^2xS3) | 288,798 |
| C12.101(C22×S3) = C62.134D4 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.101(C2^2xS3) | 288,799 |
| C12.102(C22×S3) = C2×C32⋊7Q16 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 288 | | C12.102(C2^2xS3) | 288,800 |
| C12.103(C22×S3) = C62.73D4 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.103(C2^2xS3) | 288,806 |
| C12.104(C22×S3) = C62.74D4 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.104(C2^2xS3) | 288,807 |
| C12.105(C22×S3) = C62.75D4 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.105(C2^2xS3) | 288,808 |
| C12.106(C22×S3) = C2×D12⋊5S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 96 | | C12.106(C2^2xS3) | 288,943 |
| C12.107(C22×S3) = C2×D12⋊S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | | C12.107(C2^2xS3) | 288,944 |
| C12.108(C22×S3) = C2×Dic3.D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | | C12.108(C2^2xS3) | 288,947 |
| C12.109(C22×S3) = D12⋊24D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 48 | 4 | C12.109(C2^2xS3) | 288,955 |
| C12.110(C22×S3) = C2×C12.D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.110(C2^2xS3) | 288,1008 |
| C12.111(C22×S3) = C32⋊82+ 1+4 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.111(C2^2xS3) | 288,1009 |
| C12.112(C22×S3) = C2×Q8×C3⋊S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.112(C2^2xS3) | 288,1010 |
| C12.113(C22×S3) = C2×C12.26D6 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.113(C2^2xS3) | 288,1011 |
| C12.114(C22×S3) = C32⋊72- 1+4 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.114(C2^2xS3) | 288,1012 |
| C12.115(C22×S3) = C4○D4×C3⋊S3 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.115(C2^2xS3) | 288,1013 |
| C12.116(C22×S3) = C62.154C23 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 72 | | C12.116(C2^2xS3) | 288,1014 |
| C12.117(C22×S3) = C32⋊92- 1+4 | φ: C22×S3/C6 → C22 ⊆ Aut C12 | 144 | | C12.117(C2^2xS3) | 288,1015 |
| C12.118(C22×S3) = S3×D24 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4+ | C12.118(C2^2xS3) | 288,441 |
| C12.119(C22×S3) = C24⋊1D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4+ | C12.119(C2^2xS3) | 288,442 |
| C12.120(C22×S3) = D24⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.120(C2^2xS3) | 288,443 |
| C12.121(C22×S3) = S3×Dic12 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | 4- | C12.121(C2^2xS3) | 288,447 |
| C12.122(C22×S3) = C24.3D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | 4- | C12.122(C2^2xS3) | 288,448 |
| C12.123(C22×S3) = Dic12⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.123(C2^2xS3) | 288,449 |
| C12.124(C22×S3) = D12⋊18D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 24 | 4+ | C12.124(C2^2xS3) | 288,473 |
| C12.125(C22×S3) = D12.27D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.125(C2^2xS3) | 288,477 |
| C12.126(C22×S3) = D12.28D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.126(C2^2xS3) | 288,478 |
| C12.127(C22×S3) = C2×C32⋊5SD16 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | | C12.127(C2^2xS3) | 288,480 |
| C12.128(C22×S3) = C2×C32⋊3Q16 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | | C12.128(C2^2xS3) | 288,483 |
| C12.129(C22×S3) = C2×S3×Dic6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | | C12.129(C2^2xS3) | 288,942 |
| C12.130(C22×S3) = D12.33D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.130(C2^2xS3) | 288,945 |
| C12.131(C22×S3) = D12.34D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4- | C12.131(C2^2xS3) | 288,946 |
| C12.132(C22×S3) = C2×D6.6D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | | C12.132(C2^2xS3) | 288,949 |
| C12.133(C22×S3) = D12⋊27D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 24 | 4+ | C12.133(C2^2xS3) | 288,956 |
| C12.134(C22×S3) = S32×C8 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.134(C2^2xS3) | 288,437 |
| C12.135(C22×S3) = S3×C8⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.135(C2^2xS3) | 288,438 |
| C12.136(C22×S3) = C24⋊D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.136(C2^2xS3) | 288,439 |
| C12.137(C22×S3) = C24.63D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.137(C2^2xS3) | 288,451 |
| C12.138(C22×S3) = C24.64D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.138(C2^2xS3) | 288,452 |
| C12.139(C22×S3) = C24.D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.139(C2^2xS3) | 288,453 |
| C12.140(C22×S3) = C2×S3×C3⋊C8 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | | C12.140(C2^2xS3) | 288,460 |
| C12.141(C22×S3) = S3×C4.Dic3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.141(C2^2xS3) | 288,461 |
| C12.142(C22×S3) = D12.2Dic3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.142(C2^2xS3) | 288,462 |
| C12.143(C22×S3) = D12.Dic3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.143(C2^2xS3) | 288,463 |
| C12.144(C22×S3) = C2×C12.29D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | | C12.144(C2^2xS3) | 288,464 |
| C12.145(C22×S3) = C3⋊C8.22D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.145(C2^2xS3) | 288,465 |
| C12.146(C22×S3) = C3⋊C8⋊20D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 24 | 4 | C12.146(C2^2xS3) | 288,466 |
| C12.147(C22×S3) = C2×D6.Dic3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | | C12.147(C2^2xS3) | 288,467 |
| C12.148(C22×S3) = C2×C12.31D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | | C12.148(C2^2xS3) | 288,468 |
| C12.149(C22×S3) = C2×D6.D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | | C12.149(C2^2xS3) | 288,948 |
| C12.150(C22×S3) = S3×C4○D12 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.150(C2^2xS3) | 288,953 |
| C12.151(C22×S3) = D12⋊23D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 24 | 4 | C12.151(C2^2xS3) | 288,954 |
| C12.152(C22×S3) = C3×S3×D8 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.152(C2^2xS3) | 288,681 |
| C12.153(C22×S3) = C3×D8⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.153(C2^2xS3) | 288,682 |
| C12.154(C22×S3) = C3×D8⋊3S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.154(C2^2xS3) | 288,683 |
| C12.155(C22×S3) = C3×S3×SD16 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.155(C2^2xS3) | 288,684 |
| C12.156(C22×S3) = C3×Q8⋊3D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.156(C2^2xS3) | 288,685 |
| C12.157(C22×S3) = C3×D4.D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.157(C2^2xS3) | 288,686 |
| C12.158(C22×S3) = C3×Q8.7D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.158(C2^2xS3) | 288,687 |
| C12.159(C22×S3) = C3×S3×Q16 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | 4 | C12.159(C2^2xS3) | 288,688 |
| C12.160(C22×S3) = C3×Q16⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | 4 | C12.160(C2^2xS3) | 288,689 |
| C12.161(C22×S3) = C3×D24⋊C2 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | 4 | C12.161(C2^2xS3) | 288,690 |
| C12.162(C22×S3) = C6×D4⋊S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | | C12.162(C2^2xS3) | 288,702 |
| C12.163(C22×S3) = C3×D12⋊6C22 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 24 | 4 | C12.163(C2^2xS3) | 288,703 |
| C12.164(C22×S3) = C6×D4.S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | | C12.164(C2^2xS3) | 288,704 |
| C12.165(C22×S3) = C6×Q8⋊2S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | | C12.165(C2^2xS3) | 288,712 |
| C12.166(C22×S3) = C3×Q8.11D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.166(C2^2xS3) | 288,713 |
| C12.167(C22×S3) = C6×C3⋊Q16 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | | C12.167(C2^2xS3) | 288,714 |
| C12.168(C22×S3) = C3×D4⋊D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.168(C2^2xS3) | 288,720 |
| C12.169(C22×S3) = C3×Q8.13D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.169(C2^2xS3) | 288,721 |
| C12.170(C22×S3) = C3×Q8.14D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.170(C2^2xS3) | 288,722 |
| C12.171(C22×S3) = C6×D4⋊2S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | | C12.171(C2^2xS3) | 288,993 |
| C12.172(C22×S3) = C3×D4⋊6D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 24 | 4 | C12.172(C2^2xS3) | 288,994 |
| C12.173(C22×S3) = S3×C6×Q8 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | | C12.173(C2^2xS3) | 288,995 |
| C12.174(C22×S3) = C6×Q8⋊3S3 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 96 | | C12.174(C2^2xS3) | 288,996 |
| C12.175(C22×S3) = C3×Q8.15D6 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.175(C2^2xS3) | 288,997 |
| C12.176(C22×S3) = C3×S3×C4○D4 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.176(C2^2xS3) | 288,998 |
| C12.177(C22×S3) = C3×D4○D12 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.177(C2^2xS3) | 288,999 |
| C12.178(C22×S3) = C3×Q8○D12 | φ: C22×S3/D6 → C2 ⊆ Aut C12 | 48 | 4 | C12.178(C2^2xS3) | 288,1000 |
| C12.179(C22×S3) = C2×Dic36 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 288 | | C12.179(C2^2xS3) | 288,109 |
| C12.180(C22×S3) = C2×C72⋊C2 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.180(C2^2xS3) | 288,113 |
| C12.181(C22×S3) = C2×D72 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.181(C2^2xS3) | 288,114 |
| C12.182(C22×S3) = D72⋊7C2 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.182(C2^2xS3) | 288,115 |
| C12.183(C22×S3) = C8⋊D18 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 72 | 4+ | C12.183(C2^2xS3) | 288,118 |
| C12.184(C22×S3) = C8.D18 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | 4- | C12.184(C2^2xS3) | 288,119 |
| C12.185(C22×S3) = C22×Dic18 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 288 | | C12.185(C2^2xS3) | 288,352 |
| C12.186(C22×S3) = C22×D36 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.186(C2^2xS3) | 288,354 |
| C12.187(C22×S3) = D4⋊8D18 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 72 | 4+ | C12.187(C2^2xS3) | 288,363 |
| C12.188(C22×S3) = D4.10D18 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | 4- | C12.188(C2^2xS3) | 288,364 |
| C12.189(C22×S3) = C2×C24⋊2S3 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.189(C2^2xS3) | 288,759 |
| C12.190(C22×S3) = C2×C32⋊5D8 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.190(C2^2xS3) | 288,760 |
| C12.191(C22×S3) = C24.78D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.191(C2^2xS3) | 288,761 |
| C12.192(C22×S3) = C2×C32⋊5Q16 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 288 | | C12.192(C2^2xS3) | 288,762 |
| C12.193(C22×S3) = C24⋊3D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 72 | | C12.193(C2^2xS3) | 288,765 |
| C12.194(C22×S3) = C24.5D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.194(C2^2xS3) | 288,766 |
| C12.195(C22×S3) = C22×C32⋊4Q8 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 288 | | C12.195(C2^2xS3) | 288,1003 |
| C12.196(C22×S3) = C2×C8×D9 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.196(C2^2xS3) | 288,110 |
| C12.197(C22×S3) = C2×C8⋊D9 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.197(C2^2xS3) | 288,111 |
| C12.198(C22×S3) = D36.2C4 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | 2 | C12.198(C2^2xS3) | 288,112 |
| C12.199(C22×S3) = M4(2)×D9 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 72 | 4 | C12.199(C2^2xS3) | 288,116 |
| C12.200(C22×S3) = D36.C4 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | 4 | C12.200(C2^2xS3) | 288,117 |
| C12.201(C22×S3) = C22×C9⋊C8 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 288 | | C12.201(C2^2xS3) | 288,130 |
| C12.202(C22×S3) = C2×C4.Dic9 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.202(C2^2xS3) | 288,131 |
| C12.203(C22×S3) = D4.Dic9 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | 4 | C12.203(C2^2xS3) | 288,158 |
| C12.204(C22×S3) = C22×C4×D9 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.204(C2^2xS3) | 288,353 |
| C12.205(C22×S3) = C2×D36⋊5C2 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.205(C2^2xS3) | 288,355 |
| C12.206(C22×S3) = C2×C8×C3⋊S3 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.206(C2^2xS3) | 288,756 |
| C12.207(C22×S3) = C2×C24⋊S3 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.207(C2^2xS3) | 288,757 |
| C12.208(C22×S3) = C24.95D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.208(C2^2xS3) | 288,758 |
| C12.209(C22×S3) = M4(2)×C3⋊S3 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 72 | | C12.209(C2^2xS3) | 288,763 |
| C12.210(C22×S3) = C24.47D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.210(C2^2xS3) | 288,764 |
| C12.211(C22×S3) = C22×C32⋊4C8 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 288 | | C12.211(C2^2xS3) | 288,777 |
| C12.212(C22×S3) = C2×C12.58D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.212(C2^2xS3) | 288,778 |
| C12.213(C22×S3) = D4.(C3⋊Dic3) | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.213(C2^2xS3) | 288,805 |
| C12.214(C22×S3) = C2×C12.59D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 144 | | C12.214(C2^2xS3) | 288,1006 |
| C12.215(C22×S3) = C6×C24⋊C2 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 96 | | C12.215(C2^2xS3) | 288,673 |
| C12.216(C22×S3) = C6×D24 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 96 | | C12.216(C2^2xS3) | 288,674 |
| C12.217(C22×S3) = C3×C4○D24 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 48 | 2 | C12.217(C2^2xS3) | 288,675 |
| C12.218(C22×S3) = C6×Dic12 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 96 | | C12.218(C2^2xS3) | 288,676 |
| C12.219(C22×S3) = C3×C8⋊D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 48 | 4 | C12.219(C2^2xS3) | 288,679 |
| C12.220(C22×S3) = C3×C8.D6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 48 | 4 | C12.220(C2^2xS3) | 288,680 |
| C12.221(C22×S3) = C2×C6×Dic6 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 96 | | C12.221(C2^2xS3) | 288,988 |
| C12.222(C22×S3) = C6×C4○D12 | φ: C22×S3/C2×C6 → C2 ⊆ Aut C12 | 48 | | C12.222(C2^2xS3) | 288,991 |
| C12.223(C22×S3) = S3×C2×C24 | central extension (φ=1) | 96 | | C12.223(C2^2xS3) | 288,670 |
| C12.224(C22×S3) = C6×C8⋊S3 | central extension (φ=1) | 96 | | C12.224(C2^2xS3) | 288,671 |
| C12.225(C22×S3) = C3×C8○D12 | central extension (φ=1) | 48 | 2 | C12.225(C2^2xS3) | 288,672 |
| C12.226(C22×S3) = C3×S3×M4(2) | central extension (φ=1) | 48 | 4 | C12.226(C2^2xS3) | 288,677 |
| C12.227(C22×S3) = C3×D12.C4 | central extension (φ=1) | 48 | 4 | C12.227(C2^2xS3) | 288,678 |
| C12.228(C22×S3) = C2×C6×C3⋊C8 | central extension (φ=1) | 96 | | C12.228(C2^2xS3) | 288,691 |
| C12.229(C22×S3) = C6×C4.Dic3 | central extension (φ=1) | 48 | | C12.229(C2^2xS3) | 288,692 |
| C12.230(C22×S3) = C3×D4.Dic3 | central extension (φ=1) | 48 | 4 | C12.230(C2^2xS3) | 288,719 |