Finite Group DatabasebetaFinite Group Databasebeta| order | 33777 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | C32×#16836728 |
| Fitting | C32×C9×C139 ⋊ C3 |
| Sylow | C139 ⋊ C32×3−1+2 |
576 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, 297);