| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×Q8×A4 | 72 | 6 | C3xQ8xA4 | 288,982 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| Q8⋊1(C3×A4) = A4×SL2(𝔽3) | φ: C3×A4/A4 → C3 ⊆ Out Q8 | 24 | 6- | Q8:1(C3xA4) | 288,859 |
| Q8⋊2(C3×A4) = C3×Q8⋊A4 | φ: C3×A4/C2×C6 → C3 ⊆ Out Q8 | 72 | 6 | Q8:2(C3xA4) | 288,986 |
| Q8⋊3(C3×A4) = C3×C23⋊A4 | φ: C3×A4/C2×C6 → C3 ⊆ Out Q8 | 24 | 4 | Q8:3(C3xA4) | 288,987 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| Q8.(C3×A4) = Ω4+ (𝔽3) | φ: C3×A4/A4 → C3 ⊆ Out Q8 | 24 | 4+ | Q8.(C3xA4) | 288,860 |
| Q8.2(C3×A4) = C3×Q8.A4 | φ: trivial image | 72 | 4 | Q8.2(C3xA4) | 288,984 |