| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(D6⋊C4) = C4.(C2×D12) | φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C22 | 96 | | C2^2.1(D6:C4) | 192,561 |
| C22.2(D6⋊C4) = D6⋊C8⋊40C2 | φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C22 | 96 | | C2^2.2(D6:C4) | 192,688 |
| C22.3(D6⋊C4) = C23.54D12 | φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C22 | 96 | | C2^2.3(D6:C4) | 192,692 |
| C22.4(D6⋊C4) = C4○D12⋊C4 | φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C22 | 96 | | C2^2.4(D6:C4) | 192,525 |
| C22.5(D6⋊C4) = (C22×C8)⋊7S3 | φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C22 | 96 | | C2^2.5(D6:C4) | 192,669 |
| C22.6(D6⋊C4) = C23.28D12 | φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C22 | 96 | | C2^2.6(D6:C4) | 192,672 |
| C22.7(D6⋊C4) = M4(2).31D6 | φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.7(D6:C4) | 192,691 |
| C22.8(D6⋊C4) = C3⋊C2≀C4 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 24 | 8+ | C2^2.8(D6:C4) | 192,30 |
| C22.9(D6⋊C4) = (C2×D4).D6 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 8- | C2^2.9(D6:C4) | 192,31 |
| C22.10(D6⋊C4) = C23.D12 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 8- | C2^2.10(D6:C4) | 192,32 |
| C22.11(D6⋊C4) = C23.2D12 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 24 | 8+ | C2^2.11(D6:C4) | 192,33 |
| C22.12(D6⋊C4) = C23.3D12 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 24 | 8+ | C2^2.12(D6:C4) | 192,34 |
| C22.13(D6⋊C4) = C23.4D12 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 8- | C2^2.13(D6:C4) | 192,35 |
| C22.14(D6⋊C4) = (C2×C4).D12 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 8+ | C2^2.14(D6:C4) | 192,36 |
| C22.15(D6⋊C4) = (C2×C12).D4 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 8- | C2^2.15(D6:C4) | 192,37 |
| C22.16(D6⋊C4) = C24.12D6 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | | C2^2.16(D6:C4) | 192,85 |
| C22.17(D6⋊C4) = C42⋊3Dic3 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.17(D6:C4) | 192,90 |
| C22.18(D6⋊C4) = C12.2C42 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | | C2^2.18(D6:C4) | 192,91 |
| C22.19(D6⋊C4) = (C2×C24)⋊C4 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.19(D6:C4) | 192,115 |
| C22.20(D6⋊C4) = C12.20C42 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.20(D6:C4) | 192,116 |
| C22.21(D6⋊C4) = M4(2)⋊4Dic3 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.21(D6:C4) | 192,118 |
| C22.22(D6⋊C4) = C24.56D6 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 96 | | C2^2.22(D6:C4) | 192,502 |
| C22.23(D6⋊C4) = C4⋊C4⋊36D6 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | | C2^2.23(D6:C4) | 192,560 |
| C22.24(D6⋊C4) = C4⋊C4.237D6 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 96 | | C2^2.24(D6:C4) | 192,563 |
| C22.25(D6⋊C4) = C42⋊6D6 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.25(D6:C4) | 192,564 |
| C22.26(D6⋊C4) = C23.51D12 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 96 | | C2^2.26(D6:C4) | 192,679 |
| C22.27(D6⋊C4) = D6⋊6M4(2) | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | | C2^2.27(D6:C4) | 192,685 |
| C22.28(D6⋊C4) = C23.53D12 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | | C2^2.28(D6:C4) | 192,690 |
| C22.29(D6⋊C4) = M4(2)⋊24D6 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.29(D6:C4) | 192,698 |
| C22.30(D6⋊C4) = C4.8Dic12 | central extension (φ=1) | 192 | | C2^2.30(D6:C4) | 192,15 |
| C22.31(D6⋊C4) = C4.17D24 | central extension (φ=1) | 96 | | C2^2.31(D6:C4) | 192,18 |
| C22.32(D6⋊C4) = (C22×S3)⋊C8 | central extension (φ=1) | 48 | | C2^2.32(D6:C4) | 192,27 |
| C22.33(D6⋊C4) = (C2×Dic3)⋊C8 | central extension (φ=1) | 96 | | C2^2.33(D6:C4) | 192,28 |
| C22.34(D6⋊C4) = D12⋊2C8 | central extension (φ=1) | 96 | | C2^2.34(D6:C4) | 192,42 |
| C22.35(D6⋊C4) = Dic6⋊2C8 | central extension (φ=1) | 192 | | C2^2.35(D6:C4) | 192,43 |
| C22.36(D6⋊C4) = C12.8C42 | central extension (φ=1) | 48 | | C2^2.36(D6:C4) | 192,82 |
| C22.37(D6⋊C4) = C24.13D6 | central extension (φ=1) | 48 | | C2^2.37(D6:C4) | 192,86 |
| C22.38(D6⋊C4) = C12.C42 | central extension (φ=1) | 192 | | C2^2.38(D6:C4) | 192,88 |
| C22.39(D6⋊C4) = (C2×C24)⋊5C4 | central extension (φ=1) | 192 | | C2^2.39(D6:C4) | 192,109 |
| C22.40(D6⋊C4) = C12.9C42 | central extension (φ=1) | 192 | | C2^2.40(D6:C4) | 192,110 |
| C22.41(D6⋊C4) = M4(2)⋊Dic3 | central extension (φ=1) | 96 | | C2^2.41(D6:C4) | 192,113 |
| C22.42(D6⋊C4) = C12.3C42 | central extension (φ=1) | 48 | | C2^2.42(D6:C4) | 192,114 |
| C22.43(D6⋊C4) = C2×C42⋊4S3 | central extension (φ=1) | 48 | | C2^2.43(D6:C4) | 192,486 |
| C22.44(D6⋊C4) = C2×C23.6D6 | central extension (φ=1) | 48 | | C2^2.44(D6:C4) | 192,513 |
| C22.45(D6⋊C4) = C2×C6.D8 | central extension (φ=1) | 96 | | C2^2.45(D6:C4) | 192,524 |
| C22.46(D6⋊C4) = C2×C6.SD16 | central extension (φ=1) | 192 | | C2^2.46(D6:C4) | 192,528 |
| C22.47(D6⋊C4) = C2×C2.Dic12 | central extension (φ=1) | 192 | | C2^2.47(D6:C4) | 192,662 |
| C22.48(D6⋊C4) = C2×D6⋊C8 | central extension (φ=1) | 96 | | C2^2.48(D6:C4) | 192,667 |
| C22.49(D6⋊C4) = C2×C2.D24 | central extension (φ=1) | 96 | | C2^2.49(D6:C4) | 192,671 |
| C22.50(D6⋊C4) = C2×C12.46D4 | central extension (φ=1) | 48 | | C2^2.50(D6:C4) | 192,689 |
| C22.51(D6⋊C4) = C2×C12.47D4 | central extension (φ=1) | 96 | | C2^2.51(D6:C4) | 192,695 |
| C22.52(D6⋊C4) = C2×D12⋊C4 | central extension (φ=1) | 48 | | C2^2.52(D6:C4) | 192,697 |
| C22.53(D6⋊C4) = C2×C6.C42 | central extension (φ=1) | 192 | | C2^2.53(D6:C4) | 192,767 |
| C22.54(D6⋊C4) = C6.C4≀C2 | central stem extension (φ=1) | 48 | | C2^2.54(D6:C4) | 192,10 |
| C22.55(D6⋊C4) = C4⋊Dic3⋊C4 | central stem extension (φ=1) | 48 | | C2^2.55(D6:C4) | 192,11 |
| C22.56(D6⋊C4) = C42.D6 | central stem extension (φ=1) | 96 | | C2^2.56(D6:C4) | 192,23 |
| C22.57(D6⋊C4) = C42.2D6 | central stem extension (φ=1) | 192 | | C2^2.57(D6:C4) | 192,24 |
| C22.58(D6⋊C4) = C23.35D12 | central stem extension (φ=1) | 48 | | C2^2.58(D6:C4) | 192,26 |
| C22.59(D6⋊C4) = C22.2D24 | central stem extension (φ=1) | 48 | | C2^2.59(D6:C4) | 192,29 |
| C22.60(D6⋊C4) = C4.Dic12 | central stem extension (φ=1) | 192 | | C2^2.60(D6:C4) | 192,40 |
| C22.61(D6⋊C4) = C12.47D8 | central stem extension (φ=1) | 192 | | C2^2.61(D6:C4) | 192,41 |
| C22.62(D6⋊C4) = C4.D24 | central stem extension (φ=1) | 96 | | C2^2.62(D6:C4) | 192,44 |
| C22.63(D6⋊C4) = C12.2D8 | central stem extension (φ=1) | 192 | | C2^2.63(D6:C4) | 192,45 |