| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C23×C3.A4 | 72 | C2^3xC3.A4 | 288,837 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊(C2×C3.A4) = C2×C24⋊C9 | φ: C2×C3.A4/C22×C6 → C3 ⊆ Aut C22 | 36 | C2^2:(C2xC3.A4) | 288,838 | |
| C22⋊2(C2×C3.A4) = D4×C3.A4 | φ: C2×C3.A4/C3.A4 → C2 ⊆ Aut C22 | 36 | 6 | C2^2:2(C2xC3.A4) | 288,344 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.1(C2×C3.A4) = C2×C42⋊C9 | φ: C2×C3.A4/C22×C6 → C3 ⊆ Aut C22 | 36 | 3 | C2^2.1(C2xC3.A4) | 288,71 |
| C22.2(C2×C3.A4) = C24⋊C18 | φ: C2×C3.A4/C22×C6 → C3 ⊆ Aut C22 | 36 | 6 | C2^2.2(C2xC3.A4) | 288,73 |
| C22.3(C2×C3.A4) = C42⋊C18 | φ: C2×C3.A4/C22×C6 → C3 ⊆ Aut C22 | 72 | 6 | C2^2.3(C2xC3.A4) | 288,74 |
| C22.4(C2×C3.A4) = C42⋊2C18 | φ: C2×C3.A4/C22×C6 → C3 ⊆ Aut C22 | 36 | 6 | C2^2.4(C2xC3.A4) | 288,75 |
| C22.5(C2×C3.A4) = 2- 1+4⋊C9 | φ: C2×C3.A4/C3.A4 → C2 ⊆ Aut C22 | 144 | 4 | C2^2.5(C2xC3.A4) | 288,349 |
| C22.6(C2×C3.A4) = C4×Q8⋊C9 | central extension (φ=1) | 288 | C2^2.6(C2xC3.A4) | 288,72 | |
| C22.7(C2×C3.A4) = C2×C4×C3.A4 | central extension (φ=1) | 72 | C2^2.7(C2xC3.A4) | 288,343 | |
| C22.8(C2×C3.A4) = C22×Q8⋊C9 | central extension (φ=1) | 288 | C2^2.8(C2xC3.A4) | 288,345 | |
| C22.9(C2×C3.A4) = C2×Q8.C18 | central extension (φ=1) | 144 | C2^2.9(C2xC3.A4) | 288,347 |