| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×C6×C12 | 216 | C3xC6xC12 | 216,150 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C6×C12) = S3×C3×C12 | φ: C6×C12/C3×C12 → C2 ⊆ Aut C3 | 72 | C3:1(C6xC12) | 216,136 | |
| C3⋊2(C6×C12) = Dic3×C3×C6 | φ: C6×C12/C62 → C2 ⊆ Aut C3 | 72 | C3:2(C6xC12) | 216,138 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C6×C12) = C2×C4×He3 | central stem extension (φ=1) | 72 | C3.1(C6xC12) | 216,74 | |
| C3.2(C6×C12) = C2×C4×3- 1+2 | central stem extension (φ=1) | 72 | C3.2(C6xC12) | 216,75 |