| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22×Dic23 | 368 | C2^2xDic23 | 368,35 | 
| extension | φ:Q→Out N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| Dic23⋊1C22 = D4×D23 | φ: C22/C2 → C2 ⊆ Out Dic23 | 92 | 4+ | Dic23:1C2^2 | 368,31 | 
| Dic23⋊2C22 = C2×C23⋊D4 | φ: C22/C2 → C2 ⊆ Out Dic23 | 184 | Dic23:2C2^2 | 368,36 | |
| Dic23⋊3C22 = C2×C4×D23 | φ: trivial image | 184 | Dic23:3C2^2 | 368,28 | 
| extension | φ:Q→Out N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| Dic23.1C22 = C2×Dic46 | φ: C22/C2 → C2 ⊆ Out Dic23 | 368 | Dic23.1C2^2 | 368,27 | |
| Dic23.2C22 = D92⋊5C2 | φ: C22/C2 → C2 ⊆ Out Dic23 | 184 | 2 | Dic23.2C2^2 | 368,30 | 
| Dic23.3C22 = Q8×D23 | φ: C22/C2 → C2 ⊆ Out Dic23 | 184 | 4- | Dic23.3C2^2 | 368,33 | 
| Dic23.4C22 = D4⋊2D23 | φ: trivial image | 184 | 4- | Dic23.4C2^2 | 368,32 | 
| Dic23.5C22 = D92⋊C2 | φ: trivial image | 184 | 4+ | Dic23.5C2^2 | 368,34 |