| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C6×C12⋊S3 | 144 | C6xC12:S3 | 432,712 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C2×C12⋊S3) = S3×C12⋊S3 | φ: C2×C12⋊S3/C12⋊S3 → C2 ⊆ Aut C3 | 72 | C3:1(C2xC12:S3) | 432,671 | |
| C3⋊2(C2×C12⋊S3) = C2×C33⋊12D4 | φ: C2×C12⋊S3/C6×C12 → C2 ⊆ Aut C3 | 216 | C3:2(C2xC12:S3) | 432,722 | |
| C3⋊3(C2×C12⋊S3) = C2×C33⋊8D4 | φ: C2×C12⋊S3/C22×C3⋊S3 → C2 ⊆ Aut C3 | 72 | C3:3(C2xC12:S3) | 432,682 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(C2×C12⋊S3) = C2×C36⋊S3 | φ: C2×C12⋊S3/C6×C12 → C2 ⊆ Aut C3 | 216 | C3.(C2xC12:S3) | 432,382 | |
| C3.2(C2×C12⋊S3) = C2×He3⋊5D4 | central stem extension (φ=1) | 72 | C3.2(C2xC12:S3) | 432,386 |