| order | 3456 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C211×C3 |
| direct product | C2×C3×C3⋊D3×#120 |
| Fitting | C2×C33×#120 ⋊ C2 |
| Sylow | C33 ⋊ C22×#120 |
29912 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
504 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.