| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×D12⋊S3 | 48 | 4 | C3xD12:S3 | 432,644 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(D12⋊S3) = D6.3S32 | φ: D12⋊S3/S3×Dic3 → C2 ⊆ Aut C3 | 24 | 8+ | C3:1(D12:S3) | 432,609 |
| C3⋊2(D12⋊S3) = D6.6S32 | φ: D12⋊S3/C3⋊D12 → C2 ⊆ Aut C3 | 48 | 8- | C3:2(D12:S3) | 432,611 |
| C3⋊3(D12⋊S3) = C12.39S32 | φ: D12⋊S3/C3×Dic6 → C2 ⊆ Aut C3 | 72 | C3:3(D12:S3) | 432,664 | |
| C3⋊4(D12⋊S3) = D12⋊(C3⋊S3) | φ: D12⋊S3/C3×D12 → C2 ⊆ Aut C3 | 72 | C3:4(D12:S3) | 432,662 | |
| C3⋊5(D12⋊S3) = C12⋊S3⋊12S3 | φ: D12⋊S3/C4×C3⋊S3 → C2 ⊆ Aut C3 | 48 | 4 | C3:5(D12:S3) | 432,688 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(D12⋊S3) = D18.D6 | φ: D12⋊S3/C3×Dic6 → C2 ⊆ Aut C3 | 72 | 4 | C3.1(D12:S3) | 432,281 |
| C3.2(D12⋊S3) = D12⋊D9 | φ: D12⋊S3/C3×D12 → C2 ⊆ Aut C3 | 72 | 4 | C3.2(D12:S3) | 432,286 |
| C3.3(D12⋊S3) = C12.84S32 | φ: D12⋊S3/C4×C3⋊S3 → C2 ⊆ Aut C3 | 72 | 6 | C3.3(D12:S3) | 432,296 |