| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊(C2×D4) = C2×S3≀C2 | φ: C2×D4/C2 → D4 ⊆ Aut C32 | 12 | 4+ | C3^2:(C2xD4) | 144,186 |
| C32⋊2(C2×D4) = S3×D12 | φ: C2×D4/C4 → C22 ⊆ Aut C32 | 24 | 4+ | C3^2:2(C2xD4) | 144,144 |
| C32⋊3(C2×D4) = D6⋊D6 | φ: C2×D4/C4 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:3(C2xD4) | 144,145 |
| C32⋊4(C2×D4) = C2×D6⋊S3 | φ: C2×D4/C22 → C22 ⊆ Aut C32 | 48 | | C3^2:4(C2xD4) | 144,150 |
| C32⋊5(C2×D4) = C2×C3⋊D12 | φ: C2×D4/C22 → C22 ⊆ Aut C32 | 24 | | C3^2:5(C2xD4) | 144,151 |
| C32⋊6(C2×D4) = S3×C3⋊D4 | φ: C2×D4/C22 → C22 ⊆ Aut C32 | 24 | 4 | C3^2:6(C2xD4) | 144,153 |
| C32⋊7(C2×D4) = Dic3⋊D6 | φ: C2×D4/C22 → C22 ⊆ Aut C32 | 12 | 4+ | C3^2:7(C2xD4) | 144,154 |
| C32⋊8(C2×D4) = C6×D12 | φ: C2×D4/C2×C4 → C2 ⊆ Aut C32 | 48 | | C3^2:8(C2xD4) | 144,160 |
| C32⋊9(C2×D4) = C2×C12⋊S3 | φ: C2×D4/C2×C4 → C2 ⊆ Aut C32 | 72 | | C3^2:9(C2xD4) | 144,170 |
| C32⋊10(C2×D4) = C3×S3×D4 | φ: C2×D4/D4 → C2 ⊆ Aut C32 | 24 | 4 | C3^2:10(C2xD4) | 144,162 |
| C32⋊11(C2×D4) = D4×C3⋊S3 | φ: C2×D4/D4 → C2 ⊆ Aut C32 | 36 | | C3^2:11(C2xD4) | 144,172 |
| C32⋊12(C2×D4) = C6×C3⋊D4 | φ: C2×D4/C23 → C2 ⊆ Aut C32 | 24 | | C3^2:12(C2xD4) | 144,167 |
| C32⋊13(C2×D4) = C2×C32⋊7D4 | φ: C2×D4/C23 → C2 ⊆ Aut C32 | 72 | | C3^2:13(C2xD4) | 144,177 |