| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(D4⋊S3) = He3⋊2D8 | φ: D4⋊S3/C4 → D6 ⊆ Aut C32 | 72 | 6+ | C3^2:1(D4:S3) | 432,79 |
| C32⋊2(D4⋊S3) = He3⋊3D8 | φ: D4⋊S3/C4 → D6 ⊆ Aut C32 | 72 | 12+ | C3^2:2(D4:S3) | 432,83 |
| C32⋊3(D4⋊S3) = C33⋊D8 | φ: D4⋊S3/C6 → D4 ⊆ Aut C32 | 24 | 4 | C3^2:3(D4:S3) | 432,582 |
| C32⋊4(D4⋊S3) = He3⋊6D8 | φ: D4⋊S3/D4 → S3 ⊆ Aut C32 | 72 | 12+ | C3^2:4(D4:S3) | 432,153 |
| C32⋊5(D4⋊S3) = He3⋊7D8 | φ: D4⋊S3/D4 → S3 ⊆ Aut C32 | 72 | 6 | C3^2:5(D4:S3) | 432,192 |
| C32⋊6(D4⋊S3) = C33⋊7D8 | φ: D4⋊S3/C12 → C22 ⊆ Aut C32 | 72 | | C3^2:6(D4:S3) | 432,437 |
| C32⋊7(D4⋊S3) = C33⋊9D8 | φ: D4⋊S3/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:7(D4:S3) | 432,457 |
| C32⋊8(D4⋊S3) = C3×C3⋊D24 | φ: D4⋊S3/C3⋊C8 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:8(D4:S3) | 432,419 |
| C32⋊9(D4⋊S3) = C33⋊8D8 | φ: D4⋊S3/C3⋊C8 → C2 ⊆ Aut C32 | 72 | | C3^2:9(D4:S3) | 432,438 |
| C32⋊10(D4⋊S3) = C3×C32⋊2D8 | φ: D4⋊S3/D12 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:10(D4:S3) | 432,418 |
| C32⋊11(D4⋊S3) = C33⋊6D8 | φ: D4⋊S3/D12 → C2 ⊆ Aut C32 | 144 | | C3^2:11(D4:S3) | 432,436 |
| C32⋊12(D4⋊S3) = C3×C32⋊7D8 | φ: D4⋊S3/C3×D4 → C2 ⊆ Aut C32 | 72 | | C3^2:12(D4:S3) | 432,491 |
| C32⋊13(D4⋊S3) = C33⋊15D8 | φ: D4⋊S3/C3×D4 → C2 ⊆ Aut C32 | 216 | | C3^2:13(D4:S3) | 432,507 |