| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×Q8⋊2D7 | 168 | 4 | C3xQ8:2D7 | 336,181 | 
| extension | φ:Q→Out N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| Q8⋊2D7⋊1C3 = Dic7.2A4 | φ: C3/C1 → C3 ⊆ Out Q8⋊2D7 | 112 | 4+ | Q8:2D7:1C3 | 336,131 | 
| Q8⋊2D7⋊2C3 = Q8.F7 | φ: C3/C1 → C3 ⊆ Out Q8⋊2D7 | 112 | 12+ | Q8:2D7:2C3 | 336,134 | 
| Q8⋊2D7⋊3C3 = Q8⋊3F7 | φ: C3/C1 → C3 ⊆ Out Q8⋊2D7 | 56 | 12+ | Q8:2D7:3C3 | 336,128 |