| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| A4×C39 | 156 | 3 | A4xC39 | 468,48 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C39⋊A4 = C3×C13⋊A4 | φ: A4/C22 → C3 ⊆ Aut C39 | 156 | 3 | C39:A4 | 468,49 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C39.A4 = C39.A4 | φ: A4/C22 → C3 ⊆ Aut C39 | 234 | 3 | C39.A4 | 468,14 |
| C39.2A4 = C13×C3.A4 | central extension (φ=1) | 234 | 3 | C39.2A4 | 468,13 |