| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| Q8×C3×C12 | 288 | Q8xC3xC12 | 288,816 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| Q8⋊(C3×C12) = C12×SL2(𝔽3) | φ: C3×C12/C12 → C3 ⊆ Out Q8 | 96 | Q8:(C3xC12) | 288,633 | |
| Q8⋊2(C3×C12) = C32×Q8⋊C4 | φ: C3×C12/C3×C6 → C2 ⊆ Out Q8 | 288 | Q8:2(C3xC12) | 288,321 | |
| Q8⋊3(C3×C12) = C32×C4≀C2 | φ: C3×C12/C3×C6 → C2 ⊆ Out Q8 | 72 | Q8:3(C3xC12) | 288,322 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| Q8.(C3×C12) = C3×C8.A4 | φ: C3×C12/C12 → C3 ⊆ Out Q8 | 96 | 2 | Q8.(C3xC12) | 288,638 |
| Q8.2(C3×C12) = C32×C8○D4 | φ: trivial image | 144 | Q8.2(C3xC12) | 288,828 |