| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C42×C3⋊S3 | 144 | C4^2xC3:S3 | 288,728 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C42⋊(C3⋊S3) = (C4×C12)⋊S3 | φ: C3⋊S3/C3 → S3 ⊆ Aut C42 | 36 | 6+ | C4^2:(C3:S3) | 288,401 |
| C42⋊2(C3⋊S3) = C122⋊16C2 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 144 | C4^2:2(C3:S3) | 288,729 | |
| C42⋊3(C3⋊S3) = C122⋊2C2 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 144 | C4^2:3(C3:S3) | 288,733 | |
| C42⋊4(C3⋊S3) = C122⋊C2 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 72 | C4^2:4(C3:S3) | 288,280 | |
| C42⋊5(C3⋊S3) = C4×C12⋊S3 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 144 | C4^2:5(C3:S3) | 288,730 | |
| C42⋊6(C3⋊S3) = C12⋊4D12 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 144 | C4^2:6(C3:S3) | 288,731 | |
| C42⋊7(C3⋊S3) = C122⋊6C2 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 144 | C4^2:7(C3:S3) | 288,732 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C42.1(C3⋊S3) = C122.C2 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 288 | C4^2.1(C3:S3) | 288,278 | |
| C42.2(C3⋊S3) = C12.57D12 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 288 | C4^2.2(C3:S3) | 288,279 | |
| C42.3(C3⋊S3) = C4×C32⋊4Q8 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 288 | C4^2.3(C3:S3) | 288,725 | |
| C42.4(C3⋊S3) = C12⋊6Dic6 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 288 | C4^2.4(C3:S3) | 288,726 | |
| C42.5(C3⋊S3) = C12.25Dic6 | φ: C3⋊S3/C32 → C2 ⊆ Aut C42 | 288 | C4^2.5(C3:S3) | 288,727 | |
| C42.6(C3⋊S3) = C4×C32⋊4C8 | central extension (φ=1) | 288 | C4^2.6(C3:S3) | 288,277 |