| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C2×C4⋊C4) = C6.(C4×Q8) | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 192 | | C6.1(C2xC4:C4) | 192,206 |
| C6.2(C2×C4⋊C4) = Dic3⋊C42 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 192 | | C6.2(C2xC4:C4) | 192,208 |
| C6.3(C2×C4⋊C4) = C3⋊(C42⋊8C4) | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 192 | | C6.3(C2xC4:C4) | 192,209 |
| C6.4(C2×C4⋊C4) = S3×C2.C42 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.4(C2xC4:C4) | 192,222 |
| C6.5(C2×C4⋊C4) = D6⋊(C4⋊C4) | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.5(C2xC4:C4) | 192,226 |
| C6.6(C2×C4⋊C4) = D6⋊C4⋊C4 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.6(C2xC4:C4) | 192,227 |
| C6.7(C2×C4⋊C4) = S3×C4⋊C8 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.7(C2xC4:C4) | 192,391 |
| C6.8(C2×C4⋊C4) = C12⋊M4(2) | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.8(C2xC4:C4) | 192,396 |
| C6.9(C2×C4⋊C4) = C42.30D6 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.9(C2xC4:C4) | 192,398 |
| C6.10(C2×C4⋊C4) = S3×C4.Q8 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.10(C2xC4:C4) | 192,418 |
| C6.11(C2×C4⋊C4) = (S3×C8)⋊C4 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.11(C2xC4:C4) | 192,419 |
| C6.12(C2×C4⋊C4) = C8⋊(C4×S3) | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.12(C2xC4:C4) | 192,420 |
| C6.13(C2×C4⋊C4) = S3×C2.D8 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.13(C2xC4:C4) | 192,438 |
| C6.14(C2×C4⋊C4) = C8.27(C4×S3) | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.14(C2xC4:C4) | 192,439 |
| C6.15(C2×C4⋊C4) = C8⋊S3⋊C4 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.15(C2xC4:C4) | 192,440 |
| C6.16(C2×C4⋊C4) = S3×C8.C4 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 48 | 4 | C6.16(C2xC4:C4) | 192,451 |
| C6.17(C2×C4⋊C4) = M4(2).25D6 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 48 | 4 | C6.17(C2xC4:C4) | 192,452 |
| C6.18(C2×C4⋊C4) = Dic3×C4⋊C4 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 192 | | C6.18(C2xC4:C4) | 192,533 |
| C6.19(C2×C4⋊C4) = Dic3⋊(C4⋊C4) | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 192 | | C6.19(C2xC4:C4) | 192,535 |
| C6.20(C2×C4⋊C4) = C4⋊(D6⋊C4) | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.20(C2xC4:C4) | 192,546 |
| C6.21(C2×C4⋊C4) = D6⋊C4⋊6C4 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C6 | 96 | | C6.21(C2xC4:C4) | 192,548 |
| C6.22(C2×C4⋊C4) = C2×C12⋊C8 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.22(C2xC4:C4) | 192,482 |
| C6.23(C2×C4⋊C4) = C12⋊7M4(2) | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.23(C2xC4:C4) | 192,483 |
| C6.24(C2×C4⋊C4) = C12⋊4(C4⋊C4) | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.24(C2xC4:C4) | 192,487 |
| C6.25(C2×C4⋊C4) = C4×Dic3⋊C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.25(C2xC4:C4) | 192,490 |
| C6.26(C2×C4⋊C4) = C4×C4⋊Dic3 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.26(C2xC4:C4) | 192,493 |
| C6.27(C2×C4⋊C4) = C42⋊10Dic3 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.27(C2xC4:C4) | 192,494 |
| C6.28(C2×C4⋊C4) = C42⋊11Dic3 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.28(C2xC4:C4) | 192,495 |
| C6.29(C2×C4⋊C4) = C24.55D6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.29(C2xC4:C4) | 192,501 |
| C6.30(C2×C4⋊C4) = C24.57D6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.30(C2xC4:C4) | 192,505 |
| C6.31(C2×C4⋊C4) = C24.58D6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.31(C2xC4:C4) | 192,509 |
| C6.32(C2×C4⋊C4) = C2×C6.Q16 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.32(C2xC4:C4) | 192,521 |
| C6.33(C2×C4⋊C4) = C2×C12.Q8 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.33(C2xC4:C4) | 192,522 |
| C6.34(C2×C4⋊C4) = C4⋊C4.225D6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.34(C2xC4:C4) | 192,523 |
| C6.35(C2×C4⋊C4) = C12⋊(C4⋊C4) | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.35(C2xC4:C4) | 192,531 |
| C6.36(C2×C4⋊C4) = (C4×Dic3)⋊8C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.36(C2xC4:C4) | 192,534 |
| C6.37(C2×C4⋊C4) = (C4×Dic3)⋊9C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.37(C2xC4:C4) | 192,536 |
| C6.38(C2×C4⋊C4) = C4⋊C4⋊6Dic3 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.38(C2xC4:C4) | 192,543 |
| C6.39(C2×C4⋊C4) = C4⋊C4.232D6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.39(C2xC4:C4) | 192,554 |
| C6.40(C2×C4⋊C4) = C4⋊C4.234D6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.40(C2xC4:C4) | 192,557 |
| C6.41(C2×C4⋊C4) = C42.43D6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.41(C2xC4:C4) | 192,558 |
| C6.42(C2×C4⋊C4) = C2×Dic3⋊C8 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.42(C2xC4:C4) | 192,658 |
| C6.43(C2×C4⋊C4) = Dic3⋊C8⋊C2 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.43(C2xC4:C4) | 192,661 |
| C6.44(C2×C4⋊C4) = C2×C8⋊Dic3 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.44(C2xC4:C4) | 192,663 |
| C6.45(C2×C4⋊C4) = C2×C24⋊1C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.45(C2xC4:C4) | 192,664 |
| C6.46(C2×C4⋊C4) = C23.27D12 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.46(C2xC4:C4) | 192,665 |
| C6.47(C2×C4⋊C4) = C2×C24.C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.47(C2xC4:C4) | 192,666 |
| C6.48(C2×C4⋊C4) = Dic3⋊4M4(2) | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.48(C2xC4:C4) | 192,677 |
| C6.49(C2×C4⋊C4) = C12.88(C2×Q8) | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.49(C2xC4:C4) | 192,678 |
| C6.50(C2×C4⋊C4) = C23.52D12 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.50(C2xC4:C4) | 192,680 |
| C6.51(C2×C4⋊C4) = C2×C12.53D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.51(C2xC4:C4) | 192,682 |
| C6.52(C2×C4⋊C4) = C23.8Dic6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 48 | 4 | C6.52(C2xC4:C4) | 192,683 |
| C6.53(C2×C4⋊C4) = C23.9Dic6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 48 | 4 | C6.53(C2xC4:C4) | 192,684 |
| C6.54(C2×C4⋊C4) = C2×C6.C42 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 192 | | C6.54(C2xC4:C4) | 192,767 |
| C6.55(C2×C4⋊C4) = C24.73D6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.55(C2xC4:C4) | 192,769 |
| C6.56(C2×C4⋊C4) = C24.75D6 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C6 | 96 | | C6.56(C2xC4:C4) | 192,771 |
| C6.57(C2×C4⋊C4) = C6×C2.C42 | central extension (φ=1) | 192 | | C6.57(C2xC4:C4) | 192,808 |
| C6.58(C2×C4⋊C4) = C12×C4⋊C4 | central extension (φ=1) | 192 | | C6.58(C2xC4:C4) | 192,811 |
| C6.59(C2×C4⋊C4) = C3×C23.7Q8 | central extension (φ=1) | 96 | | C6.59(C2xC4:C4) | 192,813 |
| C6.60(C2×C4⋊C4) = C3×C42⋊8C4 | central extension (φ=1) | 192 | | C6.60(C2xC4:C4) | 192,815 |
| C6.61(C2×C4⋊C4) = C3×C42⋊9C4 | central extension (φ=1) | 192 | | C6.61(C2xC4:C4) | 192,817 |
| C6.62(C2×C4⋊C4) = C3×C23.8Q8 | central extension (φ=1) | 96 | | C6.62(C2xC4:C4) | 192,818 |
| C6.63(C2×C4⋊C4) = C3×C23.65C23 | central extension (φ=1) | 192 | | C6.63(C2xC4:C4) | 192,822 |
| C6.64(C2×C4⋊C4) = C6×C4⋊C8 | central extension (φ=1) | 192 | | C6.64(C2xC4:C4) | 192,855 |
| C6.65(C2×C4⋊C4) = C3×C4⋊M4(2) | central extension (φ=1) | 96 | | C6.65(C2xC4:C4) | 192,856 |
| C6.66(C2×C4⋊C4) = C3×C42.6C22 | central extension (φ=1) | 96 | | C6.66(C2xC4:C4) | 192,857 |
| C6.67(C2×C4⋊C4) = C6×C4.Q8 | central extension (φ=1) | 192 | | C6.67(C2xC4:C4) | 192,858 |
| C6.68(C2×C4⋊C4) = C6×C2.D8 | central extension (φ=1) | 192 | | C6.68(C2xC4:C4) | 192,859 |
| C6.69(C2×C4⋊C4) = C3×C23.25D4 | central extension (φ=1) | 96 | | C6.69(C2xC4:C4) | 192,860 |
| C6.70(C2×C4⋊C4) = C3×M4(2)⋊C4 | central extension (φ=1) | 96 | | C6.70(C2xC4:C4) | 192,861 |
| C6.71(C2×C4⋊C4) = C6×C8.C4 | central extension (φ=1) | 96 | | C6.71(C2xC4:C4) | 192,862 |
| C6.72(C2×C4⋊C4) = C3×M4(2).C4 | central extension (φ=1) | 48 | 4 | C6.72(C2xC4:C4) | 192,863 |