| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22×C6×C12 | 288 | C2^2xC6xC12 | 288,1018 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊(C3×C12) = C32×C23⋊C4 | φ: C3×C12/C32 → C4 ⊆ Aut C23 | 72 | C2^3:(C3xC12) | 288,317 | |
| C23⋊2(C3×C12) = A4×C2×C12 | φ: C3×C12/C12 → C3 ⊆ Aut C23 | 72 | C2^3:2(C3xC12) | 288,979 | |
| C23⋊3(C3×C12) = C22⋊C4×C3×C6 | φ: C3×C12/C3×C6 → C2 ⊆ Aut C23 | 144 | C2^3:3(C3xC12) | 288,812 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.(C3×C12) = C32×C4.D4 | φ: C3×C12/C32 → C4 ⊆ Aut C23 | 72 | C2^3.(C3xC12) | 288,318 | |
| C23.2(C3×C12) = A4×C24 | φ: C3×C12/C12 → C3 ⊆ Aut C23 | 72 | 3 | C2^3.2(C3xC12) | 288,637 |
| C23.3(C3×C12) = C32×C22⋊C8 | φ: C3×C12/C3×C6 → C2 ⊆ Aut C23 | 144 | C2^3.3(C3xC12) | 288,316 | |
| C23.4(C3×C12) = M4(2)×C3×C6 | φ: C3×C12/C3×C6 → C2 ⊆ Aut C23 | 144 | C2^3.4(C3xC12) | 288,827 |