Finite Group DatabasebetaFinite Group Databasebeta| order | 33777 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C33 |
| direct product | C3×(C139⋊C9)⋊C9 |
| Sylow | C139 ⋊ C3×C9⋊C9 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 33777 |
3825 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33777, 160);