| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22⋊C4×C3×C6 | 144 | C2^2:C4xC3xC6 | 288,812 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C6×C22⋊C4) = C3×S3×C22⋊C4 | φ: C6×C22⋊C4/C3×C22⋊C4 → C2 ⊆ Aut C3 | 48 | C3:1(C6xC2^2:C4) | 288,651 | |
| C3⋊2(C6×C22⋊C4) = C6×D6⋊C4 | φ: C6×C22⋊C4/C22×C12 → C2 ⊆ Aut C3 | 96 | C3:2(C6xC2^2:C4) | 288,698 | |
| C3⋊3(C6×C22⋊C4) = C6×C6.D4 | φ: C6×C22⋊C4/C23×C6 → C2 ⊆ Aut C3 | 48 | C3:3(C6xC2^2:C4) | 288,723 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(C6×C22⋊C4) = C22⋊C4×C18 | central extension (φ=1) | 144 | C3.(C6xC2^2:C4) | 288,165 |