| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(D6⋊C4) = C62.4D6 | φ: D6⋊C4/C22 → D6 ⊆ Aut C32 | 72 | | C3^2:1(D6:C4) | 432,97 |
| C32⋊2(D6⋊C4) = C62.5D6 | φ: D6⋊C4/C22 → D6 ⊆ Aut C32 | 72 | | C3^2:2(D6:C4) | 432,98 |
| C32⋊3(D6⋊C4) = C3⋊S3.2D12 | φ: D6⋊C4/C6 → D4 ⊆ Aut C32 | 24 | 4 | C3^2:3(D6:C4) | 432,579 |
| C32⋊4(D6⋊C4) = (C3×C6).8D12 | φ: D6⋊C4/C6 → D4 ⊆ Aut C32 | 24 | 8+ | C3^2:4(D6:C4) | 432,586 |
| C32⋊5(D6⋊C4) = C62.21D6 | φ: D6⋊C4/C2×C4 → S3 ⊆ Aut C32 | 72 | | C3^2:5(D6:C4) | 432,141 |
| C32⋊6(D6⋊C4) = C62.31D6 | φ: D6⋊C4/C2×C4 → S3 ⊆ Aut C32 | 72 | | C3^2:6(D6:C4) | 432,189 |
| C32⋊7(D6⋊C4) = D6⋊(C32⋊C4) | φ: D6⋊C4/D6 → C4 ⊆ Aut C32 | 24 | 8+ | C3^2:7(D6:C4) | 432,568 |
| C32⋊8(D6⋊C4) = C62.78D6 | φ: D6⋊C4/C2×C6 → C22 ⊆ Aut C32 | 144 | | C3^2:8(D6:C4) | 432,450 |
| C32⋊9(D6⋊C4) = C62.79D6 | φ: D6⋊C4/C2×C6 → C22 ⊆ Aut C32 | 72 | | C3^2:9(D6:C4) | 432,451 |
| C32⋊10(D6⋊C4) = C62.84D6 | φ: D6⋊C4/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:10(D6:C4) | 432,461 |
| C32⋊11(D6⋊C4) = C3×C6.D12 | φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C32 | 48 | | C3^2:11(D6:C4) | 432,427 |
| C32⋊12(D6⋊C4) = C3×C6.11D12 | φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:12(D6:C4) | 432,490 |
| C32⋊13(D6⋊C4) = C62.148D6 | φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C32 | 216 | | C3^2:13(D6:C4) | 432,506 |
| C32⋊14(D6⋊C4) = C3×D6⋊Dic3 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C32 | 48 | | C3^2:14(D6:C4) | 432,426 |
| C32⋊15(D6⋊C4) = C62.77D6 | φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C32 | 144 | | C3^2:15(D6:C4) | 432,449 |