| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3⋊S3×C2×C12 | 144 | C3:S3xC2xC12 | 432,711 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C2×C4×C3⋊S3) = C4×S3×C3⋊S3 | φ: C2×C4×C3⋊S3/C4×C3⋊S3 → C2 ⊆ Aut C3 | 72 | C3:1(C2xC4xC3:S3) | 432,670 | |
| C3⋊2(C2×C4×C3⋊S3) = C2×C33⋊8(C2×C4) | φ: C2×C4×C3⋊S3/C2×C3⋊Dic3 → C2 ⊆ Aut C3 | 72 | C3:2(C2xC4xC3:S3) | 432,679 | |
| C3⋊3(C2×C4×C3⋊S3) = C2×C4×C33⋊C2 | φ: C2×C4×C3⋊S3/C6×C12 → C2 ⊆ Aut C3 | 216 | C3:3(C2xC4xC3:S3) | 432,721 | |
| C3⋊4(C2×C4×C3⋊S3) = C2×Dic3×C3⋊S3 | φ: C2×C4×C3⋊S3/C22×C3⋊S3 → C2 ⊆ Aut C3 | 144 | C3:4(C2xC4xC3:S3) | 432,677 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(C2×C4×C3⋊S3) = C2×C4×C9⋊S3 | φ: C2×C4×C3⋊S3/C6×C12 → C2 ⊆ Aut C3 | 216 | C3.(C2xC4xC3:S3) | 432,381 | |
| C3.2(C2×C4×C3⋊S3) = C2×C4×He3⋊C2 | central stem extension (φ=1) | 72 | C3.2(C2xC4xC3:S3) | 432,385 |