| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(Q8⋊3S3) = C12.84S32 | φ: Q8⋊3S3/C4 → D6 ⊆ Aut C32 | 72 | 6 | C3^2:1(Q8:3S3) | 432,296 |
| C32⋊2(Q8⋊3S3) = C12.S32 | φ: Q8⋊3S3/C4 → D6 ⊆ Aut C32 | 72 | 12- | C3^2:2(Q8:3S3) | 432,299 |
| C32⋊3(Q8⋊3S3) = (Q8×He3)⋊C2 | φ: Q8⋊3S3/Q8 → S3 ⊆ Aut C32 | 72 | 12+ | C3^2:3(Q8:3S3) | 432,369 |
| C32⋊4(Q8⋊3S3) = He3⋊5D4⋊C2 | φ: Q8⋊3S3/Q8 → S3 ⊆ Aut C32 | 72 | 6 | C3^2:4(Q8:3S3) | 432,395 |
| C32⋊5(Q8⋊3S3) = Dic3.S32 | φ: Q8⋊3S3/Dic3 → C22 ⊆ Aut C32 | 24 | 8+ | C3^2:5(Q8:3S3) | 432,612 |
| C32⋊6(Q8⋊3S3) = C12.39S32 | φ: Q8⋊3S3/C12 → C22 ⊆ Aut C32 | 72 | | C3^2:6(Q8:3S3) | 432,664 |
| C32⋊7(Q8⋊3S3) = C12.40S32 | φ: Q8⋊3S3/C12 → C22 ⊆ Aut C32 | 72 | | C3^2:7(Q8:3S3) | 432,665 |
| C32⋊8(Q8⋊3S3) = C12⋊S3⋊12S3 | φ: Q8⋊3S3/C12 → C22 ⊆ Aut C32 | 48 | 4 | C3^2:8(Q8:3S3) | 432,688 |
| C32⋊9(Q8⋊3S3) = D6.3S32 | φ: Q8⋊3S3/D6 → C22 ⊆ Aut C32 | 24 | 8+ | C3^2:9(Q8:3S3) | 432,609 |
| C32⋊10(Q8⋊3S3) = D6.6S32 | φ: Q8⋊3S3/D6 → C22 ⊆ Aut C32 | 48 | 8- | C3^2:10(Q8:3S3) | 432,611 |
| C32⋊11(Q8⋊3S3) = C3×D6.6D6 | φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:11(Q8:3S3) | 432,647 |
| C32⋊12(Q8⋊3S3) = C12.58S32 | φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C32 | 72 | | C3^2:12(Q8:3S3) | 432,669 |
| C32⋊13(Q8⋊3S3) = C3×D12⋊S3 | φ: Q8⋊3S3/D12 → C2 ⊆ Aut C32 | 48 | 4 | C3^2:13(Q8:3S3) | 432,644 |
| C32⋊14(Q8⋊3S3) = D12⋊(C3⋊S3) | φ: Q8⋊3S3/D12 → C2 ⊆ Aut C32 | 72 | | C3^2:14(Q8:3S3) | 432,662 |
| C32⋊15(Q8⋊3S3) = C3×C12.26D6 | φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C32 | 144 | | C3^2:15(Q8:3S3) | 432,717 |
| C32⋊16(Q8⋊3S3) = (Q8×C33)⋊C2 | φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C32 | 216 | | C3^2:16(Q8:3S3) | 432,727 |