| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C32×C54 | 486 | C3^2xC54 | 486,207 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C27⋊(C3×C6) = C3×C27⋊C6 | φ: C3×C6/C3 → C6 ⊆ Aut C27 | 54 | 6 | C27:(C3xC6) | 486,113 |
| C27⋊2(C3×C6) = C6×C27⋊C3 | φ: C3×C6/C6 → C3 ⊆ Aut C27 | 162 | C27:2(C3xC6) | 486,208 | |
| C27⋊3(C3×C6) = C32×D27 | φ: C3×C6/C32 → C2 ⊆ Aut C27 | 162 | C27:3(C3xC6) | 486,111 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C27.1(C3×C6) = C2×C81⋊C3 | central extension (φ=1) | 162 | 3 | C27.1(C3xC6) | 486,84 |
| C27.2(C3×C6) = C2×C27○He3 | central extension (φ=1) | 162 | 3 | C27.2(C3xC6) | 486,209 |