| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(D4×C32) = C32×D16 | φ: D4×C32/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.1(D4xC3^2) | 288,329 |
| C4.2(D4×C32) = C32×SD32 | φ: D4×C32/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.2(D4xC3^2) | 288,330 |
| C4.3(D4×C32) = C32×Q32 | φ: D4×C32/C3×C12 → C2 ⊆ Aut C4 | 288 | | C4.3(D4xC3^2) | 288,331 |
| C4.4(D4×C32) = C32×C4.4D4 | φ: D4×C32/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.4(D4xC3^2) | 288,821 |
| C4.5(D4×C32) = C32×C4⋊Q8 | φ: D4×C32/C3×C12 → C2 ⊆ Aut C4 | 288 | | C4.5(D4xC3^2) | 288,825 |
| C4.6(D4×C32) = D8×C3×C6 | φ: D4×C32/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.6(D4xC3^2) | 288,829 |
| C4.7(D4×C32) = SD16×C3×C6 | φ: D4×C32/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.7(D4xC3^2) | 288,830 |
| C4.8(D4×C32) = Q16×C3×C6 | φ: D4×C32/C3×C12 → C2 ⊆ Aut C4 | 288 | | C4.8(D4xC3^2) | 288,831 |
| C4.9(D4×C32) = C32×C4.D4 | φ: D4×C32/C62 → C2 ⊆ Aut C4 | 72 | | C4.9(D4xC3^2) | 288,318 |
| C4.10(D4×C32) = C32×C4.10D4 | φ: D4×C32/C62 → C2 ⊆ Aut C4 | 144 | | C4.10(D4xC3^2) | 288,319 |
| C4.11(D4×C32) = C32×D4⋊C4 | φ: D4×C32/C62 → C2 ⊆ Aut C4 | 144 | | C4.11(D4xC3^2) | 288,320 |
| C4.12(D4×C32) = C32×Q8⋊C4 | φ: D4×C32/C62 → C2 ⊆ Aut C4 | 288 | | C4.12(D4xC3^2) | 288,321 |
| C4.13(D4×C32) = C32×C22⋊Q8 | φ: D4×C32/C62 → C2 ⊆ Aut C4 | 144 | | C4.13(D4xC3^2) | 288,819 |
| C4.14(D4×C32) = C32×C8⋊C22 | φ: D4×C32/C62 → C2 ⊆ Aut C4 | 72 | | C4.14(D4xC3^2) | 288,833 |
| C4.15(D4×C32) = C32×C8.C22 | φ: D4×C32/C62 → C2 ⊆ Aut C4 | 144 | | C4.15(D4xC3^2) | 288,834 |
| C4.16(D4×C32) = C32×C22⋊C8 | central extension (φ=1) | 144 | | C4.16(D4xC3^2) | 288,316 |
| C4.17(D4×C32) = C32×C4≀C2 | central extension (φ=1) | 72 | | C4.17(D4xC3^2) | 288,322 |
| C4.18(D4×C32) = C32×C4⋊C8 | central extension (φ=1) | 288 | | C4.18(D4xC3^2) | 288,323 |
| C4.19(D4×C32) = C32×C8.C4 | central extension (φ=1) | 144 | | C4.19(D4xC3^2) | 288,326 |
| C4.20(D4×C32) = C32×C4○D8 | central extension (φ=1) | 144 | | C4.20(D4xC3^2) | 288,832 |