| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(C22⋊C4) = C2.C42 | central extension (φ=1) | 32 | | C2.1(C2^2:C4) | 32,2 |
| C2.2(C22⋊C4) = C22⋊C8 | central extension (φ=1) | 16 | | C2.2(C2^2:C4) | 32,5 |
| C2.3(C22⋊C4) = C23⋊C4 | central stem extension (φ=1) | 8 | 4+ | C2.3(C2^2:C4) | 32,6 |
| C2.4(C22⋊C4) = C4.D4 | central stem extension (φ=1) | 8 | 4+ | C2.4(C2^2:C4) | 32,7 |
| C2.5(C22⋊C4) = C4.10D4 | central stem extension (φ=1) | 16 | 4- | C2.5(C2^2:C4) | 32,8 |
| C2.6(C22⋊C4) = D4⋊C4 | central stem extension (φ=1) | 16 | | C2.6(C2^2:C4) | 32,9 |
| C2.7(C22⋊C4) = Q8⋊C4 | central stem extension (φ=1) | 32 | | C2.7(C2^2:C4) | 32,10 |
| C2.8(C22⋊C4) = C4≀C2 | central stem extension (φ=1) | 8 | 2 | C2.8(C2^2:C4) | 32,11 |