Finite Group DatabasebetaFinite Group Databasebeta| order | 32157 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C32 |
| direct product | C3×#24924307 |
| Fitting | C3×C9×C397 ⋊ C3 |
| Sylow | C397 ⋊ C3×3−1+2 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10719 |
3597 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32157, 44);