| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C2×S32) = S3×D4⋊S3 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.1(C2xS3^2) | 288,572 |
| C4.2(C2×S32) = Dic6⋊3D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.2(C2xS3^2) | 288,573 |
| C4.3(C2×S32) = D12⋊D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 24 | 8+ | C4.3(C2xS3^2) | 288,574 |
| C4.4(C2×S32) = D12.D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.4(C2xS3^2) | 288,575 |
| C4.5(C2×S32) = S3×D4.S3 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.5(C2xS3^2) | 288,576 |
| C4.6(C2×S32) = Dic6.19D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.6(C2xS3^2) | 288,577 |
| C4.7(C2×S32) = Dic6⋊D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 24 | 8+ | C4.7(C2xS3^2) | 288,578 |
| C4.8(C2×S32) = Dic6.D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.8(C2xS3^2) | 288,579 |
| C4.9(C2×S32) = D12⋊9D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.9(C2xS3^2) | 288,580 |
| C4.10(C2×S32) = D12.22D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.10(C2xS3^2) | 288,581 |
| C4.11(C2×S32) = D12.7D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.11(C2xS3^2) | 288,582 |
| C4.12(C2×S32) = Dic6.20D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.12(C2xS3^2) | 288,583 |
| C4.13(C2×S32) = D12.8D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.13(C2xS3^2) | 288,584 |
| C4.14(C2×S32) = D12⋊5D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 24 | 8+ | C4.14(C2xS3^2) | 288,585 |
| C4.15(C2×S32) = S3×Q8⋊2S3 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.15(C2xS3^2) | 288,586 |
| C4.16(C2×S32) = D12⋊6D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.16(C2xS3^2) | 288,587 |
| C4.17(C2×S32) = D12.9D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.17(C2xS3^2) | 288,588 |
| C4.18(C2×S32) = D12.10D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.18(C2xS3^2) | 288,589 |
| C4.19(C2×S32) = S3×C3⋊Q16 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 96 | 8- | C4.19(C2xS3^2) | 288,590 |
| C4.20(C2×S32) = D12.11D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 96 | 8- | C4.20(C2xS3^2) | 288,591 |
| C4.21(C2×S32) = Dic6.9D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.21(C2xS3^2) | 288,592 |
| C4.22(C2×S32) = Dic6.10D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.22(C2xS3^2) | 288,593 |
| C4.23(C2×S32) = D12.24D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 96 | 8- | C4.23(C2xS3^2) | 288,594 |
| C4.24(C2×S32) = D12.12D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 96 | 8- | C4.24(C2xS3^2) | 288,595 |
| C4.25(C2×S32) = Dic6.22D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.25(C2xS3^2) | 288,596 |
| C4.26(C2×S32) = D12.13D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.26(C2xS3^2) | 288,597 |
| C4.27(C2×S32) = D12.14D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.27(C2xS3^2) | 288,598 |
| C4.28(C2×S32) = D12.15D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.28(C2xS3^2) | 288,599 |
| C4.29(C2×S32) = Dic6.24D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.29(C2xS3^2) | 288,957 |
| C4.30(C2×S32) = S3×D4⋊2S3 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.30(C2xS3^2) | 288,959 |
| C4.31(C2×S32) = Dic6⋊12D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 24 | 8+ | C4.31(C2xS3^2) | 288,960 |
| C4.32(C2×S32) = D12⋊12D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.32(C2xS3^2) | 288,961 |
| C4.33(C2×S32) = D12⋊13D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 24 | 8+ | C4.33(C2xS3^2) | 288,962 |
| C4.34(C2×S32) = D12.25D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.34(C2xS3^2) | 288,963 |
| C4.35(C2×S32) = Dic6.26D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.35(C2xS3^2) | 288,964 |
| C4.36(C2×S32) = S32×Q8 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.36(C2xS3^2) | 288,965 |
| C4.37(C2×S32) = S3×Q8⋊3S3 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.37(C2xS3^2) | 288,966 |
| C4.38(C2×S32) = D12⋊15D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8- | C4.38(C2xS3^2) | 288,967 |
| C4.39(C2×S32) = D12⋊16D6 | φ: C2×S32/S32 → C2 ⊆ Aut C4 | 48 | 8+ | C4.39(C2xS3^2) | 288,968 |
| C4.40(C2×S32) = S3×C24⋊C2 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.40(C2xS3^2) | 288,440 |
| C4.41(C2×S32) = S3×D24 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4+ | C4.41(C2xS3^2) | 288,441 |
| C4.42(C2×S32) = C24⋊1D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4+ | C4.42(C2xS3^2) | 288,442 |
| C4.43(C2×S32) = D24⋊S3 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.43(C2xS3^2) | 288,443 |
| C4.44(C2×S32) = S3×Dic12 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 96 | 4- | C4.44(C2xS3^2) | 288,447 |
| C4.45(C2×S32) = C24.3D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 96 | 4- | C4.45(C2xS3^2) | 288,448 |
| C4.46(C2×S32) = Dic12⋊S3 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.46(C2xS3^2) | 288,449 |
| C4.47(C2×S32) = D6.1D12 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.47(C2xS3^2) | 288,454 |
| C4.48(C2×S32) = D24⋊7S3 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 96 | 4- | C4.48(C2xS3^2) | 288,455 |
| C4.49(C2×S32) = D6.3D12 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4+ | C4.49(C2xS3^2) | 288,456 |
| C4.50(C2×S32) = C2×C3⋊D24 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | | C4.50(C2xS3^2) | 288,472 |
| C4.51(C2×S32) = D12⋊18D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 24 | 4+ | C4.51(C2xS3^2) | 288,473 |
| C4.52(C2×S32) = C2×D12.S3 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.52(C2xS3^2) | 288,476 |
| C4.53(C2×S32) = D12.27D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.53(C2xS3^2) | 288,477 |
| C4.54(C2×S32) = D12.28D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.54(C2xS3^2) | 288,478 |
| C4.55(C2×S32) = D12.29D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4- | C4.55(C2xS3^2) | 288,479 |
| C4.56(C2×S32) = C2×C32⋊5SD16 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | | C4.56(C2xS3^2) | 288,480 |
| C4.57(C2×S32) = Dic6.29D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.57(C2xS3^2) | 288,481 |
| C4.58(C2×S32) = C2×C32⋊3Q16 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.58(C2xS3^2) | 288,483 |
| C4.59(C2×S32) = C2×S3×Dic6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.59(C2xS3^2) | 288,942 |
| C4.60(C2×S32) = C2×D12⋊5S3 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.60(C2xS3^2) | 288,943 |
| C4.61(C2×S32) = D12.33D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.61(C2xS3^2) | 288,945 |
| C4.62(C2×S32) = D12.34D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | 4- | C4.62(C2xS3^2) | 288,946 |
| C4.63(C2×S32) = C2×D6.6D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 48 | | C4.63(C2xS3^2) | 288,949 |
| C4.64(C2×S32) = D12⋊27D6 | φ: C2×S32/S3×C6 → C2 ⊆ Aut C4 | 24 | 4+ | C4.64(C2xS3^2) | 288,956 |
| C4.65(C2×S32) = C24⋊9D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.65(C2xS3^2) | 288,444 |
| C4.66(C2×S32) = C24⋊4D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.66(C2xS3^2) | 288,445 |
| C4.67(C2×S32) = C24⋊6D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.67(C2xS3^2) | 288,446 |
| C4.68(C2×S32) = C24.23D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.68(C2xS3^2) | 288,450 |
| C4.69(C2×S32) = D12.2D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.69(C2xS3^2) | 288,457 |
| C4.70(C2×S32) = D24⋊5S3 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.70(C2xS3^2) | 288,458 |
| C4.71(C2×S32) = D12.4D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.71(C2xS3^2) | 288,459 |
| C4.72(C2×S32) = C2×C32⋊2D8 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 96 | | C4.72(C2xS3^2) | 288,469 |
| C4.73(C2×S32) = D12.30D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.73(C2xS3^2) | 288,470 |
| C4.74(C2×S32) = D12⋊20D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.74(C2xS3^2) | 288,471 |
| C4.75(C2×S32) = C2×Dic6⋊S3 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 96 | | C4.75(C2xS3^2) | 288,474 |
| C4.76(C2×S32) = D12.32D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.76(C2xS3^2) | 288,475 |
| C4.77(C2×S32) = C2×C32⋊2Q16 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 96 | | C4.77(C2xS3^2) | 288,482 |
| C4.78(C2×S32) = C2×D12⋊S3 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | | C4.78(C2xS3^2) | 288,944 |
| C4.79(C2×S32) = C2×Dic3.D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | | C4.79(C2xS3^2) | 288,947 |
| C4.80(C2×S32) = D12⋊24D6 | φ: C2×S32/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.80(C2xS3^2) | 288,955 |
| C4.81(C2×S32) = S32×C8 | central extension (φ=1) | 48 | 4 | C4.81(C2xS3^2) | 288,437 |
| C4.82(C2×S32) = S3×C8⋊S3 | central extension (φ=1) | 48 | 4 | C4.82(C2xS3^2) | 288,438 |
| C4.83(C2×S32) = C24⋊D6 | central extension (φ=1) | 48 | 4 | C4.83(C2xS3^2) | 288,439 |
| C4.84(C2×S32) = C24.63D6 | central extension (φ=1) | 48 | 4 | C4.84(C2xS3^2) | 288,451 |
| C4.85(C2×S32) = C24.64D6 | central extension (φ=1) | 48 | 4 | C4.85(C2xS3^2) | 288,452 |
| C4.86(C2×S32) = C24.D6 | central extension (φ=1) | 48 | 4 | C4.86(C2xS3^2) | 288,453 |
| C4.87(C2×S32) = C2×S3×C3⋊C8 | central extension (φ=1) | 96 | | C4.87(C2xS3^2) | 288,460 |
| C4.88(C2×S32) = S3×C4.Dic3 | central extension (φ=1) | 48 | 4 | C4.88(C2xS3^2) | 288,461 |
| C4.89(C2×S32) = D12.2Dic3 | central extension (φ=1) | 48 | 4 | C4.89(C2xS3^2) | 288,462 |
| C4.90(C2×S32) = D12.Dic3 | central extension (φ=1) | 48 | 4 | C4.90(C2xS3^2) | 288,463 |
| C4.91(C2×S32) = C2×C12.29D6 | central extension (φ=1) | 48 | | C4.91(C2xS3^2) | 288,464 |
| C4.92(C2×S32) = C3⋊C8.22D6 | central extension (φ=1) | 48 | 4 | C4.92(C2xS3^2) | 288,465 |
| C4.93(C2×S32) = C3⋊C8⋊20D6 | central extension (φ=1) | 24 | 4 | C4.93(C2xS3^2) | 288,466 |
| C4.94(C2×S32) = C2×D6.Dic3 | central extension (φ=1) | 96 | | C4.94(C2xS3^2) | 288,467 |
| C4.95(C2×S32) = C2×C12.31D6 | central extension (φ=1) | 48 | | C4.95(C2xS3^2) | 288,468 |
| C4.96(C2×S32) = C2×D6.D6 | central extension (φ=1) | 48 | | C4.96(C2xS3^2) | 288,948 |
| C4.97(C2×S32) = S3×C4○D12 | central extension (φ=1) | 48 | 4 | C4.97(C2xS3^2) | 288,953 |
| C4.98(C2×S32) = D12⋊23D6 | central extension (φ=1) | 24 | 4 | C4.98(C2xS3^2) | 288,954 |