Finite Group DatabasebetaFinite Group Databasebeta| order | 3456 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C211×C3 |
| direct product | C22×C3×#64162 |
| Fitting | C26×C33 ⋊ C2 |
| Sylow | C33 ⋊ C22×#120 |
49864 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
936 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22×#72220148, C22×#72220152 |
Past the SmallGroups library coverage — no SmallGroups id.