Finite Group DatabasebetaFinite Group Databasebeta| order | 33777 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C3×#26014607 |
| Fitting | C3×C27×C139 ⋊ C3 |
| Sylow | C139 ⋊ C3×C27⋊C3 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11259 |
3825 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33777, 237);