| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×A4×C3⋊S3 | 54 | C2xA4xC3:S3 | 432,764 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(A4×C3⋊S3) = A4×C3⋊Dic3 | central extension (φ=1) | 108 | C2.1(A4xC3:S3) | 432,627 | |
| C2.2(A4×C3⋊S3) = C3⋊Dic3.2A4 | central stem extension (φ=1) | 144 | C2.2(A4xC3:S3) | 432,625 | |
| C2.3(A4×C3⋊S3) = C3⋊S3×SL2(𝔽3) | central stem extension (φ=1) | 72 | C2.3(A4xC3:S3) | 432,626 |