| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C32×D12 | 72 | C3^2xD12 | 216,137 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C3×D12) = C3×C12⋊S3 | φ: C3×D12/C3×C12 → C2 ⊆ Aut C3 | 72 | C3:1(C3xD12) | 216,142 | |
| C3⋊2(C3×D12) = C3×C3⋊D12 | φ: C3×D12/S3×C6 → C2 ⊆ Aut C3 | 24 | 4 | C3:2(C3xD12) | 216,122 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C3×D12) = C3×D36 | φ: C3×D12/C3×C12 → C2 ⊆ Aut C3 | 72 | 2 | C3.1(C3xD12) | 216,46 |
| C3.2(C3×D12) = He3⋊4D4 | φ: C3×D12/C3×C12 → C2 ⊆ Aut C3 | 36 | 6+ | C3.2(C3xD12) | 216,51 |
| C3.3(C3×D12) = D36⋊C3 | φ: C3×D12/C3×C12 → C2 ⊆ Aut C3 | 36 | 6+ | C3.3(C3xD12) | 216,54 |
| C3.4(C3×D12) = C9×D12 | central extension (φ=1) | 72 | 2 | C3.4(C3xD12) | 216,48 |