| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|
| C2.1(C2×C4.Q8) = C2×C8⋊2C8 | central extension (φ=1) | 128 |  | C2.1(C2xC4.Q8) | 128,294 | 
| C2.2(C2×C4.Q8) = C2×C22.4Q16 | central extension (φ=1) | 128 |  | C2.2(C2xC4.Q8) | 128,466 | 
| C2.3(C2×C4.Q8) = C4×C4.Q8 | central extension (φ=1) | 128 |  | C2.3(C2xC4.Q8) | 128,506 | 
| C2.4(C2×C4.Q8) = C8⋊8M4(2) | central stem extension (φ=1) | 64 |  | C2.4(C2xC4.Q8) | 128,298 | 
| C2.5(C2×C4.Q8) = C42.90D4 | central stem extension (φ=1) | 64 |  | C2.5(C2xC4.Q8) | 128,302 | 
| C2.6(C2×C4.Q8) = C24.133D4 | central stem extension (φ=1) | 64 |  | C2.6(C2xC4.Q8) | 128,539 | 
| C2.7(C2×C4.Q8) = C42.55Q8 | central stem extension (φ=1) | 128 |  | C2.7(C2xC4.Q8) | 128,566 | 
| C2.8(C2×C4.Q8) = C42.58Q8 | central stem extension (φ=1) | 128 |  | C2.8(C2xC4.Q8) | 128,576 | 
| C2.9(C2×C4.Q8) = C24.159D4 | central stem extension (φ=1) | 64 |  | C2.9(C2xC4.Q8) | 128,585 | 
| C2.10(C2×C4.Q8) = C42.30Q8 | central stem extension (φ=1) | 128 |  | C2.10(C2xC4.Q8) | 128,680 | 
| C2.11(C2×C4.Q8) = C2×C8.Q8 | central stem extension (φ=1) | 32 |  | C2.11(C2xC4.Q8) | 128,886 | 
| C2.12(C2×C4.Q8) = M5(2)⋊3C4 | central stem extension (φ=1) | 32 | 4 | C2.12(C2xC4.Q8) | 128,887 |