| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×C54 | 162 | C3xC54 | 162,26 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C27⋊C6 = C27⋊C6 | φ: C6/C1 → C6 ⊆ Aut C27 | 27 | 6+ | C27:C6 | 162,9 |
| C27⋊2C6 = C2×C27⋊C3 | φ: C6/C2 → C3 ⊆ Aut C27 | 54 | 3 | C27:2C6 | 162,27 |
| C27⋊3C6 = C3×D27 | φ: C6/C3 → C2 ⊆ Aut C27 | 54 | 2 | C27:3C6 | 162,7 |