| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊(C4⋊Dic3) = C62.D6 | φ: C4⋊Dic3/C22 → D6 ⊆ Aut C32 | 144 | | C3^2:(C4:Dic3) | 432,95 |
| C32⋊2(C4⋊Dic3) = (C3×C6).9D12 | φ: C4⋊Dic3/C6 → D4 ⊆ Aut C32 | 48 | 8- | C3^2:2(C4:Dic3) | 432,587 |
| C32⋊3(C4⋊Dic3) = C6.2PSU3(𝔽2) | φ: C4⋊Dic3/C6 → Q8 ⊆ Aut C32 | 48 | 8 | C3^2:3(C4:Dic3) | 432,593 |
| C32⋊4(C4⋊Dic3) = C62.20D6 | φ: C4⋊Dic3/C2×C4 → S3 ⊆ Aut C32 | 144 | | C3^2:4(C4:Dic3) | 432,140 |
| C32⋊5(C4⋊Dic3) = C62.30D6 | φ: C4⋊Dic3/C2×C4 → S3 ⊆ Aut C32 | 144 | | C3^2:5(C4:Dic3) | 432,188 |
| C32⋊6(C4⋊Dic3) = C33⋊9(C4⋊C4) | φ: C4⋊Dic3/C12 → C4 ⊆ Aut C32 | 48 | 4 | C3^2:6(C4:Dic3) | 432,638 |
| C32⋊7(C4⋊Dic3) = C62.80D6 | φ: C4⋊Dic3/C2×C6 → C22 ⊆ Aut C32 | 144 | | C3^2:7(C4:Dic3) | 432,452 |
| C32⋊8(C4⋊Dic3) = C62.85D6 | φ: C4⋊Dic3/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:8(C4:Dic3) | 432,462 |
| C32⋊9(C4⋊Dic3) = C3×Dic3⋊Dic3 | φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C32 | 48 | | C3^2:9(C4:Dic3) | 432,428 |
| C32⋊10(C4⋊Dic3) = C62.82D6 | φ: C4⋊Dic3/C2×Dic3 → C2 ⊆ Aut C32 | 144 | | C3^2:10(C4:Dic3) | 432,454 |
| C32⋊11(C4⋊Dic3) = C3×C12⋊Dic3 | φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:11(C4:Dic3) | 432,489 |
| C32⋊12(C4⋊Dic3) = C62.147D6 | φ: C4⋊Dic3/C2×C12 → C2 ⊆ Aut C32 | 432 | | C3^2:12(C4:Dic3) | 432,505 |