| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C4×C8) = C42⋊6C8 | φ: C4×C8/C42 → C2 ⊆ Aut C4 | 32 | | C4.1(C4xC8) | 128,8 |
| C4.2(C4×C8) = C42.385D4 | φ: C4×C8/C42 → C2 ⊆ Aut C4 | 128 | | C4.2(C4xC8) | 128,9 |
| C4.3(C4×C8) = C42.7C8 | φ: C4×C8/C42 → C2 ⊆ Aut C4 | 32 | | C4.3(C4xC8) | 128,108 |
| C4.4(C4×C8) = C82⋊C2 | φ: C4×C8/C42 → C2 ⊆ Aut C4 | 64 | | C4.4(C4xC8) | 128,182 |
| C4.5(C4×C8) = C4×M5(2) | φ: C4×C8/C42 → C2 ⊆ Aut C4 | 64 | | C4.5(C4xC8) | 128,839 |
| C4.6(C4×C8) = M4(2)⋊C8 | φ: C4×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.6(C4xC8) | 128,10 |
| C4.7(C4×C8) = C42.46Q8 | φ: C4×C8/C2×C8 → C2 ⊆ Aut C4 | 128 | | C4.7(C4xC8) | 128,11 |
| C4.8(C4×C8) = M5(2)⋊7C4 | φ: C4×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.8(C4xC8) | 128,111 |
| C4.9(C4×C8) = C8×M4(2) | φ: C4×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.9(C4xC8) | 128,181 |
| C4.10(C4×C8) = C16○2M5(2) | φ: C4×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.10(C4xC8) | 128,840 |
| C4.11(C4×C8) = C16⋊5C8 | central extension (φ=1) | 128 | | C4.11(C4xC8) | 128,43 |
| C4.12(C4×C8) = C32⋊5C4 | central extension (φ=1) | 128 | | C4.12(C4xC8) | 128,129 |
| C4.13(C4×C8) = C2×C8⋊C8 | central extension (φ=1) | 128 | | C4.13(C4xC8) | 128,180 |
| C4.14(C4×C8) = C42⋊4C8 | central extension (φ=1) | 128 | | C4.14(C4xC8) | 128,476 |
| C4.15(C4×C8) = C2×C16⋊5C4 | central extension (φ=1) | 128 | | C4.15(C4xC8) | 128,838 |
| C4.16(C4×C8) = C42⋊1C8 | central stem extension (φ=1) | 32 | | C4.16(C4xC8) | 128,6 |
| C4.17(C4×C8) = C42.20D4 | central stem extension (φ=1) | 64 | | C4.17(C4xC8) | 128,7 |
| C4.18(C4×C8) = C16⋊C8 | central stem extension (φ=1) | 128 | | C4.18(C4xC8) | 128,45 |
| C4.19(C4×C8) = C42.2C8 | central stem extension (φ=1) | 32 | | C4.19(C4xC8) | 128,107 |
| C4.20(C4×C8) = C32⋊C4 | central stem extension (φ=1) | 32 | 4 | C4.20(C4xC8) | 128,130 |