| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C6×C78 | 468 | C6xC78 | 468,55 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C6⋊C78 = S3×C78 | φ: C78/C39 → C2 ⊆ Aut C6 | 156 | 2 | C6:C78 | 468,51 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C6.C78 = Dic3×C39 | φ: C78/C39 → C2 ⊆ Aut C6 | 156 | 2 | C6.C78 | 468,24 |