| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C4×S3×A4 | 36 | 6 | C4xS3xA4 | 288,919 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4⋊(S3×A4) = A4×D12 | φ: S3×A4/C3×A4 → C2 ⊆ Aut C4 | 36 | 6+ | C4:(S3xA4) | 288,920 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4.1(S3×A4) = A4×Dic6 | φ: S3×A4/C3×A4 → C2 ⊆ Aut C4 | 72 | 6- | C4.1(S3xA4) | 288,918 |
| C4.2(S3×A4) = Dic6.A4 | φ: S3×A4/C3×A4 → C2 ⊆ Aut C4 | 72 | 4+ | C4.2(S3xA4) | 288,924 |
| C4.3(S3×A4) = D12.A4 | φ: S3×A4/C3×A4 → C2 ⊆ Aut C4 | 48 | 4- | C4.3(S3xA4) | 288,926 |
| C4.4(S3×A4) = A4×C3⋊C8 | central extension (φ=1) | 72 | 6 | C4.4(S3xA4) | 288,408 |
| C4.5(S3×A4) = SL2(𝔽3).Dic3 | central extension (φ=1) | 96 | 4 | C4.5(S3xA4) | 288,410 |
| C4.6(S3×A4) = S3×C4.A4 | central extension (φ=1) | 48 | 4 | C4.6(S3xA4) | 288,925 |