Finite Group DatabasebetaFinite Group Databasebeta| order | 23571 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C32⋊C9×C97 ⋊ C3 |
| Sylow | C97 ⋊ #6891 |
252 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2619 |
Polycyclic presentation:
3^5,97|a^3=d,b^a=bd,c^a=ce,f^b=f^611107 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23571, 181);