| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(C2×S3×A4) = C4×S3×A4 | central extension (φ=1) | 36 | 6 | C2.1(C2xS3xA4) | 288,919 |
| C2.2(C2×S3×A4) = C2×Dic3×A4 | central extension (φ=1) | 72 | | C2.2(C2xS3xA4) | 288,927 |
| C2.3(C2×S3×A4) = A4×Dic6 | central stem extension (φ=1) | 72 | 6- | C2.3(C2xS3xA4) | 288,918 |
| C2.4(C2×S3×A4) = A4×D12 | central stem extension (φ=1) | 36 | 6+ | C2.4(C2xS3xA4) | 288,920 |
| C2.5(C2×S3×A4) = C2×Dic3.A4 | central stem extension (φ=1) | 96 | | C2.5(C2xS3xA4) | 288,921 |
| C2.6(C2×S3×A4) = C2×S3×SL2(𝔽3) | central stem extension (φ=1) | 48 | | C2.6(C2xS3xA4) | 288,922 |
| C2.7(C2×S3×A4) = SL2(𝔽3).11D6 | central stem extension (φ=1) | 48 | 4 | C2.7(C2xS3xA4) | 288,923 |
| C2.8(C2×S3×A4) = Dic6.A4 | central stem extension (φ=1) | 72 | 4+ | C2.8(C2xS3xA4) | 288,924 |
| C2.9(C2×S3×A4) = S3×C4.A4 | central stem extension (φ=1) | 48 | 4 | C2.9(C2xS3xA4) | 288,925 |
| C2.10(C2×S3×A4) = D12.A4 | central stem extension (φ=1) | 48 | 4- | C2.10(C2xS3xA4) | 288,926 |
| C2.11(C2×S3×A4) = A4×C3⋊D4 | central stem extension (φ=1) | 36 | 6 | C2.11(C2xS3xA4) | 288,928 |