| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22×D53 | 212 | C2^2xD53 | 424,13 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C22⋊D53 = C53⋊D4 | φ: D53/C53 → C2 ⊆ Aut C22 | 212 | 2 | C2^2:D53 | 424,8 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C22.D53 = C2×Dic53 | central extension (φ=1) | 424 | C2^2.D53 | 424,7 |