| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C212 | 424 | C2xC212 | 424,9 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C53⋊(C2×C4) = C2×C53⋊C4 | φ: C2×C4/C2 → C4 ⊆ Aut C53 | 106 | 4+ | C53:(C2xC4) | 424,12 | 
| C53⋊2(C2×C4) = C4×D53 | φ: C2×C4/C4 → C2 ⊆ Aut C53 | 212 | 2 | C53:2(C2xC4) | 424,5 | 
| C53⋊3(C2×C4) = C2×Dic53 | φ: C2×C4/C22 → C2 ⊆ Aut C53 | 424 | C53:3(C2xC4) | 424,7 |