| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊1(C3×C4⋊C4) = C3×C3⋊S3.Q8 | φ: C3×C4⋊C4/C6 → D4 ⊆ Aut C32 | 48 | 4 | C3^2:1(C3xC4:C4) | 432,575 |
| C32⋊2(C3×C4⋊C4) = C3×C2.PSU3(𝔽2) | φ: C3×C4⋊C4/C6 → Q8 ⊆ Aut C32 | 48 | 8 | C3^2:2(C3xC4:C4) | 432,591 |
| C32⋊3(C3×C4⋊C4) = C62.19D6 | φ: C3×C4⋊C4/C2×C4 → C6 ⊆ Aut C32 | 144 | | C3^2:3(C3xC4:C4) | 432,139 |
| C32⋊4(C3×C4⋊C4) = C62.20D6 | φ: C3×C4⋊C4/C2×C4 → C6 ⊆ Aut C32 | 144 | | C3^2:4(C3xC4:C4) | 432,140 |
| C32⋊5(C3×C4⋊C4) = C3×C4⋊(C32⋊C4) | φ: C3×C4⋊C4/C12 → C4 ⊆ Aut C32 | 48 | 4 | C3^2:5(C3xC4:C4) | 432,631 |
| C32⋊6(C3×C4⋊C4) = C3×Dic3⋊Dic3 | φ: C3×C4⋊C4/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:6(C3xC4:C4) | 432,428 |
| C32⋊7(C3×C4⋊C4) = C3×C62.C22 | φ: C3×C4⋊C4/C2×C6 → C22 ⊆ Aut C32 | 48 | | C3^2:7(C3xC4:C4) | 432,429 |
| C32⋊8(C3×C4⋊C4) = C4⋊C4×He3 | φ: C3×C4⋊C4/C4⋊C4 → C3 ⊆ Aut C32 | 144 | | C3^2:8(C3xC4:C4) | 432,207 |
| C32⋊9(C3×C4⋊C4) = C32×Dic3⋊C4 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:9(C3xC4:C4) | 432,472 |
| C32⋊10(C3×C4⋊C4) = C32×C4⋊Dic3 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:10(C3xC4:C4) | 432,473 |
| C32⋊11(C3×C4⋊C4) = C3×C6.Dic6 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:11(C3xC4:C4) | 432,488 |
| C32⋊12(C3×C4⋊C4) = C3×C12⋊Dic3 | φ: C3×C4⋊C4/C2×C12 → C2 ⊆ Aut C32 | 144 | | C3^2:12(C3xC4:C4) | 432,489 |