| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| Dic3×C3×C6 | 72 | Dic3xC3xC6 | 216,138 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C6×Dic3) = C3×S3×Dic3 | φ: C6×Dic3/C3×Dic3 → C2 ⊆ Aut C3 | 24 | 4 | C3:1(C6xDic3) | 216,119 |
| C3⋊2(C6×Dic3) = C6×C3⋊Dic3 | φ: C6×Dic3/C62 → C2 ⊆ Aut C3 | 72 | C3:2(C6xDic3) | 216,143 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C6×Dic3) = C6×Dic9 | φ: C6×Dic3/C62 → C2 ⊆ Aut C3 | 72 | C3.1(C6xDic3) | 216,55 | |
| C3.2(C6×Dic3) = C2×C32⋊C12 | φ: C6×Dic3/C62 → C2 ⊆ Aut C3 | 72 | C3.2(C6xDic3) | 216,59 | |
| C3.3(C6×Dic3) = C2×C9⋊C12 | φ: C6×Dic3/C62 → C2 ⊆ Aut C3 | 72 | C3.3(C6xDic3) | 216,61 | |
| C3.4(C6×Dic3) = Dic3×C18 | central extension (φ=1) | 72 | C3.4(C6xDic3) | 216,56 |