| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C22×C8) = C2×D4⋊C8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.1(C2^2xC8) | 128,206 |
| C4.2(C22×C8) = C2×Q8⋊C8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 128 | | C4.2(C2^2xC8) | 128,207 |
| C4.3(C22×C8) = C42.455D4 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.3(C2^2xC8) | 128,208 |
| C4.4(C22×C8) = C42.397D4 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.4(C2^2xC8) | 128,209 |
| C4.5(C22×C8) = C42.398D4 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 32 | | C4.5(C2^2xC8) | 128,210 |
| C4.6(C22×C8) = C42.399D4 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.6(C2^2xC8) | 128,211 |
| C4.7(C22×C8) = C8×D8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.7(C2^2xC8) | 128,307 |
| C4.8(C22×C8) = C8×SD16 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.8(C2^2xC8) | 128,308 |
| C4.9(C22×C8) = C8×Q16 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 128 | | C4.9(C2^2xC8) | 128,309 |
| C4.10(C22×C8) = SD16⋊C8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.10(C2^2xC8) | 128,310 |
| C4.11(C22×C8) = Q16⋊5C8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 128 | | C4.11(C2^2xC8) | 128,311 |
| C4.12(C22×C8) = D8⋊5C8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.12(C2^2xC8) | 128,312 |
| C4.13(C22×C8) = C2×D4.C8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.13(C2^2xC8) | 128,848 |
| C4.14(C22×C8) = M5(2)⋊12C22 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 32 | 4 | C4.14(C2^2xC8) | 128,849 |
| C4.15(C22×C8) = C16○D8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 32 | 2 | C4.15(C2^2xC8) | 128,902 |
| C4.16(C22×C8) = D8.C8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 32 | 4 | C4.16(C2^2xC8) | 128,903 |
| C4.17(C22×C8) = Q8×C2×C8 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 128 | | C4.17(C2^2xC8) | 128,1690 |
| C4.18(C22×C8) = C8×C4○D4 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.18(C2^2xC8) | 128,1696 |
| C4.19(C22×C8) = C42.691C23 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 32 | | C4.19(C2^2xC8) | 128,1704 |
| C4.20(C22×C8) = C42.695C23 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.20(C2^2xC8) | 128,1714 |
| C4.21(C22×C8) = C42.697C23 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.21(C2^2xC8) | 128,1720 |
| C4.22(C22×C8) = C2×D4○C16 | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 64 | | C4.22(C2^2xC8) | 128,2138 |
| C4.23(C22×C8) = Q8○M5(2) | φ: C22×C8/C2×C8 → C2 ⊆ Aut C4 | 32 | 4 | C4.23(C2^2xC8) | 128,2139 |
| C4.24(C22×C8) = C2×C8⋊2C8 | φ: C22×C8/C22×C4 → C2 ⊆ Aut C4 | 128 | | C4.24(C2^2xC8) | 128,294 |
| C4.25(C22×C8) = C2×C8⋊1C8 | φ: C22×C8/C22×C4 → C2 ⊆ Aut C4 | 128 | | C4.25(C2^2xC8) | 128,295 |
| C4.26(C22×C8) = C42.42Q8 | φ: C22×C8/C22×C4 → C2 ⊆ Aut C4 | 64 | | C4.26(C2^2xC8) | 128,296 |
| C4.27(C22×C8) = M4(2)⋊1C8 | φ: C22×C8/C22×C4 → C2 ⊆ Aut C4 | 64 | | C4.27(C2^2xC8) | 128,297 |
| C4.28(C22×C8) = C2×C8.C8 | φ: C22×C8/C22×C4 → C2 ⊆ Aut C4 | 32 | | C4.28(C2^2xC8) | 128,884 |
| C4.29(C22×C8) = M4(2).1C8 | φ: C22×C8/C22×C4 → C2 ⊆ Aut C4 | 32 | 4 | C4.29(C2^2xC8) | 128,885 |
| C4.30(C22×C8) = C2×C42.12C4 | φ: C22×C8/C22×C4 → C2 ⊆ Aut C4 | 64 | | C4.30(C2^2xC8) | 128,1649 |
| C4.31(C22×C8) = C2×C8⋊C8 | central extension (φ=1) | 128 | | C4.31(C2^2xC8) | 128,180 |
| C4.32(C22×C8) = C8×M4(2) | central extension (φ=1) | 64 | | C4.32(C2^2xC8) | 128,181 |
| C4.33(C22×C8) = C82⋊C2 | central extension (φ=1) | 64 | | C4.33(C2^2xC8) | 128,182 |
| C4.34(C22×C8) = C2×C16⋊5C4 | central extension (φ=1) | 128 | | C4.34(C2^2xC8) | 128,838 |
| C4.35(C22×C8) = C4×M5(2) | central extension (φ=1) | 64 | | C4.35(C2^2xC8) | 128,839 |
| C4.36(C22×C8) = C16○2M5(2) | central extension (φ=1) | 64 | | C4.36(C2^2xC8) | 128,840 |
| C4.37(C22×C8) = C2×M6(2) | central extension (φ=1) | 64 | | C4.37(C2^2xC8) | 128,989 |
| C4.38(C22×C8) = D4○C32 | central extension (φ=1) | 64 | 2 | C4.38(C2^2xC8) | 128,990 |
| C4.39(C22×C8) = C22×M5(2) | central extension (φ=1) | 64 | | C4.39(C2^2xC8) | 128,2137 |