| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(C2×C3⋊D4) = C2×He3⋊2D4 | φ: C2×C3⋊D4/C22 → D6 ⊆ Aut C32 | 72 | | C3^2:1(C2xC3:D4) | 432,320 |
| C32⋊2(C2×C3⋊D4) = C2×He3⋊3D4 | φ: C2×C3⋊D4/C22 → D6 ⊆ Aut C32 | 72 | | C3^2:2(C2xC3:D4) | 432,322 |
| C32⋊3(C2×C3⋊D4) = C62⋊D6 | φ: C2×C3⋊D4/C22 → D6 ⊆ Aut C32 | 36 | 12+ | C3^2:3(C2xC3:D4) | 432,323 |
| C32⋊4(C2×C3⋊D4) = C2×C33⋊D4 | φ: C2×C3⋊D4/C6 → D4 ⊆ Aut C32 | 24 | 4 | C3^2:4(C2xC3:D4) | 432,755 |
| C32⋊5(C2×C3⋊D4) = C2×He3⋊6D4 | φ: C2×C3⋊D4/C23 → S3 ⊆ Aut C32 | 72 | | C3^2:5(C2xC3:D4) | 432,377 |
| C32⋊6(C2×C3⋊D4) = C2×He3⋊7D4 | φ: C2×C3⋊D4/C23 → S3 ⊆ Aut C32 | 72 | | C3^2:6(C2xC3:D4) | 432,399 |
| C32⋊7(C2×C3⋊D4) = S3×C3⋊D12 | φ: C2×C3⋊D4/Dic3 → C22 ⊆ Aut C32 | 24 | 8+ | C3^2:7(C2xC3:D4) | 432,598 |
| C32⋊8(C2×C3⋊D4) = D6⋊S32 | φ: C2×C3⋊D4/Dic3 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:8(C2xC3:D4) | 432,600 |
| C32⋊9(C2×C3⋊D4) = S3×D6⋊S3 | φ: C2×C3⋊D4/D6 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:9(C2xC3:D4) | 432,597 |
| C32⋊10(C2×C3⋊D4) = D6⋊4S32 | φ: C2×C3⋊D4/D6 → C22 ⊆ Aut C32 | 24 | 8+ | C3^2:10(C2xC3:D4) | 432,599 |
| C32⋊11(C2×C3⋊D4) = C2×C33⋊6D4 | φ: C2×C3⋊D4/C2×C6 → C22 ⊆ Aut C32 | 144 | | C3^2:11(C2xC3:D4) | 432,680 |
| C32⋊12(C2×C3⋊D4) = C2×C33⋊7D4 | φ: C2×C3⋊D4/C2×C6 → C22 ⊆ Aut C32 | 72 | | C3^2:12(C2xC3:D4) | 432,681 |
| C32⋊13(C2×C3⋊D4) = S3×C32⋊7D4 | φ: C2×C3⋊D4/C2×C6 → C22 ⊆ Aut C32 | 72 | | C3^2:13(C2xC3:D4) | 432,684 |
| C32⋊14(C2×C3⋊D4) = C2×C33⋊9D4 | φ: C2×C3⋊D4/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:14(C2xC3:D4) | 432,694 |
| C32⋊15(C2×C3⋊D4) = C62⋊24D6 | φ: C2×C3⋊D4/C2×C6 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:15(C2xC3:D4) | 432,696 |
| C32⋊16(C2×C3⋊D4) = C6×C3⋊D12 | φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C32 | 48 | | C3^2:16(C2xC3:D4) | 432,656 |
| C32⋊17(C2×C3⋊D4) = C2×C33⋊8D4 | φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C32 | 72 | | C3^2:17(C2xC3:D4) | 432,682 |
| C32⋊18(C2×C3⋊D4) = C3×S3×C3⋊D4 | φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C32 | 24 | 4 | C3^2:18(C2xC3:D4) | 432,658 |
| C32⋊19(C2×C3⋊D4) = C3⋊S3×C3⋊D4 | φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C32 | 72 | | C3^2:19(C2xC3:D4) | 432,685 |
| C32⋊20(C2×C3⋊D4) = C6×D6⋊S3 | φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C32 | 48 | | C3^2:20(C2xC3:D4) | 432,655 |
| C32⋊21(C2×C3⋊D4) = C6×C32⋊7D4 | φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C32 | 72 | | C3^2:21(C2xC3:D4) | 432,719 |
| C32⋊22(C2×C3⋊D4) = C2×C33⋊15D4 | φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C32 | 216 | | C3^2:22(C2xC3:D4) | 432,729 |