| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C4⋊C4×C3×C6 | 288 | C4:C4xC3xC6 | 288,813 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C6×C4⋊C4) = C3×S3×C4⋊C4 | φ: C6×C4⋊C4/C3×C4⋊C4 → C2 ⊆ Aut C3 | 96 | C3:1(C6xC4:C4) | 288,662 | |
| C3⋊2(C6×C4⋊C4) = C6×Dic3⋊C4 | φ: C6×C4⋊C4/C22×C12 → C2 ⊆ Aut C3 | 96 | C3:2(C6xC4:C4) | 288,694 | |
| C3⋊3(C6×C4⋊C4) = C6×C4⋊Dic3 | φ: C6×C4⋊C4/C22×C12 → C2 ⊆ Aut C3 | 96 | C3:3(C6xC4:C4) | 288,696 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(C6×C4⋊C4) = C4⋊C4×C18 | central extension (φ=1) | 288 | C3.(C6xC4:C4) | 288,166 |