| 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 |