| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×Dic53 | 424 | C2xDic53 | 424,7 | 
| extension | φ:Q→Out N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| Dic53⋊C2 = C53⋊D4 | φ: C2/C1 → C2 ⊆ Out Dic53 | 212 | 2 | Dic53:C2 | 424,8 | 
| Dic53⋊2C2 = C4×D53 | φ: trivial image | 212 | 2 | Dic53:2C2 | 424,5 | 
| extension | φ:Q→Out N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| Dic53.1C2 = Dic106 | φ: C2/C1 → C2 ⊆ Out Dic53 | 424 | 2- | Dic53.1C2 | 424,4 | 
| Dic53.2C2 = C53⋊C8 | φ: C2/C1 → C2 ⊆ Out Dic53 | 424 | 4- | Dic53.2C2 | 424,3 |