| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C7×D8) = C7×D32 | φ: C7×D8/C56 → C2 ⊆ Aut C4 | 224 | 2 | C4.1(C7xD8) | 448,175 |
| C4.2(C7×D8) = C7×SD64 | φ: C7×D8/C56 → C2 ⊆ Aut C4 | 224 | 2 | C4.2(C7xD8) | 448,176 |
| C4.3(C7×D8) = C7×Q64 | φ: C7×D8/C56 → C2 ⊆ Aut C4 | 448 | 2 | C4.3(C7xD8) | 448,177 |
| C4.4(C7×D8) = C7×C4.4D8 | φ: C7×D8/C56 → C2 ⊆ Aut C4 | 224 | | C4.4(C7xD8) | 448,894 |
| C4.5(C7×D8) = C7×C8⋊2Q8 | φ: C7×D8/C56 → C2 ⊆ Aut C4 | 448 | | C4.5(C7xD8) | 448,908 |
| C4.6(C7×D8) = C14×D16 | φ: C7×D8/C56 → C2 ⊆ Aut C4 | 224 | | C4.6(C7xD8) | 448,913 |
| C4.7(C7×D8) = C14×SD32 | φ: C7×D8/C56 → C2 ⊆ Aut C4 | 224 | | C4.7(C7xD8) | 448,914 |
| C4.8(C7×D8) = C14×Q32 | φ: C7×D8/C56 → C2 ⊆ Aut C4 | 448 | | C4.8(C7xD8) | 448,915 |
| C4.9(C7×D8) = C7×C4.D8 | φ: C7×D8/C7×D4 → C2 ⊆ Aut C4 | 224 | | C4.9(C7xD8) | 448,135 |
| C4.10(C7×D8) = C7×C4.10D8 | φ: C7×D8/C7×D4 → C2 ⊆ Aut C4 | 448 | | C4.10(C7xD8) | 448,136 |
| C4.11(C7×D8) = C7×M5(2)⋊C2 | φ: C7×D8/C7×D4 → C2 ⊆ Aut C4 | 112 | 4 | C4.11(C7xD8) | 448,165 |
| C4.12(C7×D8) = C7×C8.17D4 | φ: C7×D8/C7×D4 → C2 ⊆ Aut C4 | 224 | 4 | C4.12(C7xD8) | 448,166 |
| C4.13(C7×D8) = C7×D4⋊Q8 | φ: C7×D8/C7×D4 → C2 ⊆ Aut C4 | 224 | | C4.13(C7xD8) | 448,882 |
| C4.14(C7×D8) = C7×C16⋊C22 | φ: C7×D8/C7×D4 → C2 ⊆ Aut C4 | 112 | 4 | C4.14(C7xD8) | 448,917 |
| C4.15(C7×D8) = C7×Q32⋊C2 | φ: C7×D8/C7×D4 → C2 ⊆ Aut C4 | 224 | 4 | C4.15(C7xD8) | 448,918 |
| C4.16(C7×D8) = C7×D4⋊C8 | central extension (φ=1) | 224 | | C4.16(C7xD8) | 448,129 |
| C4.17(C7×D8) = C7×C8⋊1C8 | central extension (φ=1) | 448 | | C4.17(C7xD8) | 448,139 |
| C4.18(C7×D8) = C7×D8.C4 | central extension (φ=1) | 224 | 2 | C4.18(C7xD8) | 448,163 |
| C4.19(C7×D8) = C7×C8.4Q8 | central extension (φ=1) | 224 | 2 | C4.19(C7xD8) | 448,172 |
| C4.20(C7×D8) = C7×C4○D16 | central extension (φ=1) | 224 | 2 | C4.20(C7xD8) | 448,916 |