| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C32⋊(D4⋊C4) = C2.AΓL1(𝔽9) | φ: D4⋊C4/C2 → SD16 ⊆ Aut C32 | 24 | 8+ | C3^2:(D4:C4) | 288,841 |
| C32⋊2(D4⋊C4) = C3⋊S3.2D8 | φ: D4⋊C4/C4 → D4 ⊆ Aut C32 | 24 | 4 | C3^2:2(D4:C4) | 288,377 |
| C32⋊3(D4⋊C4) = C62.3D4 | φ: D4⋊C4/C22 → D4 ⊆ Aut C32 | 48 | | C3^2:3(D4:C4) | 288,387 |
| C32⋊4(D4⋊C4) = D12⋊3Dic3 | φ: D4⋊C4/C2×C4 → C22 ⊆ Aut C32 | 96 | | C3^2:4(D4:C4) | 288,210 |
| C32⋊5(D4⋊C4) = C6.16D24 | φ: D4⋊C4/C2×C4 → C22 ⊆ Aut C32 | 96 | | C3^2:5(D4:C4) | 288,211 |
| C32⋊6(D4⋊C4) = C6.17D24 | φ: D4⋊C4/C2×C4 → C22 ⊆ Aut C32 | 48 | | C3^2:6(D4:C4) | 288,212 |
| C32⋊7(D4⋊C4) = C3⋊S3.5D8 | φ: D4⋊C4/D4 → C4 ⊆ Aut C32 | 24 | 8+ | C3^2:7(D4:C4) | 288,430 |
| C32⋊8(D4⋊C4) = C3×C6.D8 | φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C32 | 96 | | C3^2:8(D4:C4) | 288,243 |
| C32⋊9(D4⋊C4) = C62.113D4 | φ: D4⋊C4/C4⋊C4 → C2 ⊆ Aut C32 | 144 | | C3^2:9(D4:C4) | 288,284 |
| C32⋊10(D4⋊C4) = C3×C2.D24 | φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C32 | 96 | | C3^2:10(D4:C4) | 288,255 |
| C32⋊11(D4⋊C4) = C62.84D4 | φ: D4⋊C4/C2×C8 → C2 ⊆ Aut C32 | 144 | | C3^2:11(D4:C4) | 288,296 |
| C32⋊12(D4⋊C4) = C3×D4⋊Dic3 | φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C32 | 48 | | C3^2:12(D4:C4) | 288,266 |
| C32⋊13(D4⋊C4) = C62.116D4 | φ: D4⋊C4/C2×D4 → C2 ⊆ Aut C32 | 144 | | C3^2:13(D4:C4) | 288,307 |