| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊(C6.D4) = C62.4D6 | φ: C6.D4/C22 → D6 ⊆ Aut C32 | 72 | | C3^2:(C6.D4) | 432,97 |
| C32⋊2(C6.D4) = S32⋊Dic3 | φ: C6.D4/C6 → D4 ⊆ Aut C32 | 24 | 4 | C3^2:2(C6.D4) | 432,580 |
| C32⋊3(C6.D4) = C62⋊3C12 | φ: C6.D4/C23 → S3 ⊆ Aut C32 | 72 | | C3^2:3(C6.D4) | 432,166 |
| C32⋊4(C6.D4) = C62⋊4Dic3 | φ: C6.D4/C23 → S3 ⊆ Aut C32 | 72 | | C3^2:4(C6.D4) | 432,199 |
| C32⋊5(C6.D4) = C62⋊11Dic3 | φ: C6.D4/C2×C6 → C4 ⊆ Aut C32 | 24 | 4 | C3^2:5(C6.D4) | 432,641 |
| C32⋊6(C6.D4) = C62.77D6 | φ: C6.D4/C2×C6 → C22 ⊆ Aut C32 | 144 | | C3^2:6(C6.D4) | 432,449 |
| C32⋊7(C6.D4) = C62.84D6 | φ: C6.D4/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:7(C6.D4) | 432,461 |
| C32⋊8(C6.D4) = C3×D6⋊Dic3 | φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C32 | 48 | | C3^2:8(C6.D4) | 432,426 |
| C32⋊9(C6.D4) = C62.78D6 | φ: C6.D4/C2×Dic3 → C2 ⊆ Aut C32 | 144 | | C3^2:9(C6.D4) | 432,450 |
| C32⋊10(C6.D4) = C3×C62⋊5C4 | φ: C6.D4/C22×C6 → C2 ⊆ Aut C32 | 72 | | C3^2:10(C6.D4) | 432,495 |
| C32⋊11(C6.D4) = C63.C2 | φ: C6.D4/C22×C6 → C2 ⊆ Aut C32 | 216 | | C3^2:11(C6.D4) | 432,511 |