| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C2×C56) = C7×D4○C16 | φ: C2×C56/C56 → C2 ⊆ Aut C22 | 224 | 2 | C2^2.1(C2xC56) | 448,912 |
| C22.2(C2×C56) = C7×C23⋊C8 | φ: C2×C56/C2×C28 → C2 ⊆ Aut C22 | 112 | | C2^2.2(C2xC56) | 448,127 |
| C22.3(C2×C56) = C7×C22.M4(2) | φ: C2×C56/C2×C28 → C2 ⊆ Aut C22 | 224 | | C2^2.3(C2xC56) | 448,128 |
| C22.4(C2×C56) = C7×C23.C8 | φ: C2×C56/C2×C28 → C2 ⊆ Aut C22 | 112 | 4 | C2^2.4(C2xC56) | 448,153 |
| C22.5(C2×C56) = C7×C42.12C4 | φ: C2×C56/C2×C28 → C2 ⊆ Aut C22 | 224 | | C2^2.5(C2xC56) | 448,839 |
| C22.6(C2×C56) = C14×M5(2) | φ: C2×C56/C2×C28 → C2 ⊆ Aut C22 | 224 | | C2^2.6(C2xC56) | 448,911 |
| C22.7(C2×C56) = C7×C22.7C42 | central extension (φ=1) | 448 | | C2^2.7(C2xC56) | 448,140 |
| C22.8(C2×C56) = C7×C16⋊5C4 | central extension (φ=1) | 448 | | C2^2.8(C2xC56) | 448,150 |
| C22.9(C2×C56) = C7×C22⋊C16 | central extension (φ=1) | 224 | | C2^2.9(C2xC56) | 448,152 |
| C22.10(C2×C56) = C7×C4⋊C16 | central extension (φ=1) | 448 | | C2^2.10(C2xC56) | 448,167 |
| C22.11(C2×C56) = C14×C4⋊C8 | central extension (φ=1) | 448 | | C2^2.11(C2xC56) | 448,830 |