| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| D4×C32×C6 | 216 | D4xC3^2xC6 | 432,731 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(D4×C3×C6) = C3×C6×D12 | φ: D4×C3×C6/C6×C12 → C2 ⊆ Aut C3 | 144 | C3:1(D4xC3xC6) | 432,702 | |
| C3⋊2(D4×C3×C6) = S3×D4×C32 | φ: D4×C3×C6/D4×C32 → C2 ⊆ Aut C3 | 72 | C3:2(D4xC3xC6) | 432,704 | |
| C3⋊3(D4×C3×C6) = C3×C6×C3⋊D4 | φ: D4×C3×C6/C2×C62 → C2 ⊆ Aut C3 | 72 | C3:3(D4xC3xC6) | 432,709 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(D4×C3×C6) = D4×C3×C18 | central extension (φ=1) | 216 | C3.1(D4xC3xC6) | 432,403 | |
| C3.2(D4×C3×C6) = C2×D4×He3 | central stem extension (φ=1) | 72 | C3.2(D4xC3xC6) | 432,404 | |
| C3.3(D4×C3×C6) = C2×D4×3- 1+2 | central stem extension (φ=1) | 72 | C3.3(D4xC3xC6) | 432,405 |