Finite Group DatabasebetaFinite Group Databasebeta| order | 23571 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C9⋊C9×C97 ⋊ C3 |
| Sylow | C97 ⋊ #6883 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2619 |
Polycyclic presentation:
3^5,97|a^3=e^2,b^3=d^2,c^3=e^2,b^a=bc,c^a=cd,d^a=de,f^a=f^35,c^b=ce1075 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23571, 151);