| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(S3×Q8) = C3⋊S3⋊Dic6 | φ: S3×Q8/C4 → D6 ⊆ Aut C32 | 72 | 12- | C3^2:1(S3xQ8) | 432,294 |
| C32⋊2(S3×Q8) = C12.85S32 | φ: S3×Q8/C4 → D6 ⊆ Aut C32 | 72 | 6- | C3^2:2(S3xQ8) | 432,298 |
| C32⋊3(S3×Q8) = S3×PSU3(𝔽2) | φ: S3×Q8/S3 → Q8 ⊆ Aut C32 | 24 | 16+ | C3^2:3(S3xQ8) | 432,742 |
| C32⋊4(S3×Q8) = Q8×C32⋊C6 | φ: S3×Q8/Q8 → S3 ⊆ Aut C32 | 72 | 12- | C3^2:4(S3xQ8) | 432,368 |
| C32⋊5(S3×Q8) = Q8×He3⋊C2 | φ: S3×Q8/Q8 → S3 ⊆ Aut C32 | 72 | 6 | C3^2:5(S3xQ8) | 432,394 |
| C32⋊6(S3×Q8) = C33⋊5(C2×Q8) | φ: S3×Q8/Dic3 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:6(S3xQ8) | 432,604 |
| C32⋊7(S3×Q8) = C33⋊6(C2×Q8) | φ: S3×Q8/Dic3 → C22 ⊆ Aut C32 | 24 | 8+ | C3^2:7(S3xQ8) | 432,605 |
| C32⋊8(S3×Q8) = C3⋊S3×Dic6 | φ: S3×Q8/C12 → C22 ⊆ Aut C32 | 144 | | C3^2:8(S3xQ8) | 432,663 |
| C32⋊9(S3×Q8) = C32⋊9(S3×Q8) | φ: S3×Q8/C12 → C22 ⊆ Aut C32 | 72 | | C3^2:9(S3xQ8) | 432,666 |
| C32⋊10(S3×Q8) = C3⋊S3⋊4Dic6 | φ: S3×Q8/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:10(S3xQ8) | 432,687 |
| C32⋊11(S3×Q8) = S3×C32⋊2Q8 | φ: S3×Q8/D6 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:11(S3xQ8) | 432,603 |
| C32⋊12(S3×Q8) = C3×Dic3.D6 | φ: S3×Q8/Dic6 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:12(S3xQ8) | 432,645 |
| C32⋊13(S3×Q8) = C3×S3×Dic6 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:13(S3xQ8) | 432,642 |
| C32⋊14(S3×Q8) = S3×C32⋊4Q8 | φ: S3×Q8/C4×S3 → C2 ⊆ Aut C32 | 144 | | C3^2:14(S3xQ8) | 432,660 |
| C32⋊15(S3×Q8) = C3×Q8×C3⋊S3 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C32 | 144 | | C3^2:15(S3xQ8) | 432,716 |
| C32⋊16(S3×Q8) = Q8×C33⋊C2 | φ: S3×Q8/C3×Q8 → C2 ⊆ Aut C32 | 216 | | C3^2:16(S3xQ8) | 432,726 |