| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C2×C28) = C7×C8○D4 | φ: C2×C28/C28 → C2 ⊆ Aut C22 | 112 | 2 | C2^2.1(C2xC28) | 224,166 |
| C22.2(C2×C28) = C7×C23⋊C4 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C22 | 56 | 4 | C2^2.2(C2xC28) | 224,48 |
| C22.3(C2×C28) = C7×C4.D4 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C22 | 56 | 4 | C2^2.3(C2xC28) | 224,49 |
| C22.4(C2×C28) = C7×C4.10D4 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C22 | 112 | 4 | C2^2.4(C2xC28) | 224,50 |
| C22.5(C2×C28) = C7×C42⋊C2 | φ: C2×C28/C2×C14 → C2 ⊆ Aut C22 | 112 | | C2^2.5(C2xC28) | 224,152 |
| C22.6(C2×C28) = C14×M4(2) | φ: C2×C28/C2×C14 → C2 ⊆ Aut C22 | 112 | | C2^2.6(C2xC28) | 224,165 |
| C22.7(C2×C28) = C7×C2.C42 | central extension (φ=1) | 224 | | C2^2.7(C2xC28) | 224,44 |
| C22.8(C2×C28) = C7×C8⋊C4 | central extension (φ=1) | 224 | | C2^2.8(C2xC28) | 224,46 |
| C22.9(C2×C28) = C7×C22⋊C8 | central extension (φ=1) | 112 | | C2^2.9(C2xC28) | 224,47 |
| C22.10(C2×C28) = C7×C4⋊C8 | central extension (φ=1) | 224 | | C2^2.10(C2xC28) | 224,54 |
| C22.11(C2×C28) = C14×C4⋊C4 | central extension (φ=1) | 224 | | C2^2.11(C2xC28) | 224,151 |