Finite Group DatabasebetaFinite Group Databasebeta| order | 32157 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | C3×C9×C397 ⋊ C3 |
| Sylow | C397 ⋊ C32⋊C9 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10719 |
Polycyclic presentation:
3^4,397|a^3=d,b^a=bc,e^b=e^3623597 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32157, 18);