Finite Group DatabasebetaFinite Group Databasebeta| order | 32157 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C397 ⋊ C27⋊C3 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10719 |
Polycyclic presentation:
3^4,397|a^3=c,c^3=d,b^a=bd,e^a=e^79,e^b=e^34,e^c=e^362429 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32157, 58);