| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C2×C4) = C8○D4 | φ: C2×C4/C4 → C2 ⊆ Aut C22 | 16 | 2 | C2^2.1(C2xC4) | 32,38 |
| C22.2(C2×C4) = C23⋊C4 | φ: C2×C4/C22 → C2 ⊆ Aut C22 | 8 | 4+ | C2^2.2(C2xC4) | 32,6 |
| C22.3(C2×C4) = C4.D4 | φ: C2×C4/C22 → C2 ⊆ Aut C22 | 8 | 4+ | C2^2.3(C2xC4) | 32,7 |
| C22.4(C2×C4) = C4.10D4 | φ: C2×C4/C22 → C2 ⊆ Aut C22 | 16 | 4- | C2^2.4(C2xC4) | 32,8 |
| C22.5(C2×C4) = C42⋊C2 | φ: C2×C4/C22 → C2 ⊆ Aut C22 | 16 | | C2^2.5(C2xC4) | 32,24 |
| C22.6(C2×C4) = C2.C42 | central extension (φ=1) | 32 | | C2^2.6(C2xC4) | 32,2 |
| C22.7(C2×C4) = C8⋊C4 | central extension (φ=1) | 32 | | C2^2.7(C2xC4) | 32,4 |
| C22.8(C2×C4) = C22⋊C8 | central extension (φ=1) | 16 | | C2^2.8(C2xC4) | 32,5 |
| C22.9(C2×C4) = C4⋊C8 | central extension (φ=1) | 32 | | C2^2.9(C2xC4) | 32,12 |
| C22.10(C2×C4) = C2×C4⋊C4 | central extension (φ=1) | 32 | | C2^2.10(C2xC4) | 32,23 |
| C22.11(C2×C4) = C2×M4(2) | central extension (φ=1) | 16 | | C2^2.11(C2xC4) | 32,37 |