| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C424 | 424 | 1 | C424 | 424,2 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C53⋊C8 = C53⋊C8 | φ: C8/C2 → C4 ⊆ Aut C53 | 424 | 4- | C53:C8 | 424,3 | 
| C53⋊2C8 = C53⋊2C8 | φ: C8/C4 → C2 ⊆ Aut C53 | 424 | 2 | C53:2C8 | 424,1 |