| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(S32⋊C4) = S32⋊C8 | central extension (φ=1) | 24 | 4 | C2.1(S3^2:C4) | 288,374 |
| C2.2(S32⋊C4) = C62.D4 | central extension (φ=1) | 48 | | C2.2(S3^2:C4) | 288,385 |
| C2.3(S32⋊C4) = C4.S3≀C2 | central stem extension (φ=1) | 24 | 4 | C2.3(S3^2:C4) | 288,375 |
| C2.4(S32⋊C4) = (C3×C12).D4 | central stem extension (φ=1) | 48 | 4 | C2.4(S3^2:C4) | 288,376 |
| C2.5(S32⋊C4) = C3⋊S3.2D8 | central stem extension (φ=1) | 24 | 4 | C2.5(S3^2:C4) | 288,377 |
| C2.6(S32⋊C4) = C3⋊S3.2Q16 | central stem extension (φ=1) | 48 | 4 | C2.6(S3^2:C4) | 288,378 |
| C2.7(S32⋊C4) = C32⋊C4≀C2 | central stem extension (φ=1) | 48 | 4 | C2.7(S3^2:C4) | 288,379 |
| C2.8(S32⋊C4) = C62.2D4 | central stem extension (φ=1) | 24 | 4+ | C2.8(S3^2:C4) | 288,386 |
| C2.9(S32⋊C4) = C62.3D4 | central stem extension (φ=1) | 48 | | C2.9(S3^2:C4) | 288,387 |
| C2.10(S32⋊C4) = C62.4D4 | central stem extension (φ=1) | 96 | | C2.10(S3^2:C4) | 288,388 |
| C2.11(S32⋊C4) = Dic3≀C2 | central stem extension (φ=1) | 24 | 4- | C2.11(S3^2:C4) | 288,389 |