Finite Group DatabasebetaFinite Group Databasebeta| order | 23571 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C32⋊C9×C97 ⋊ C3 |
| Sylow | C97 ⋊ C9×H(3,𝔽3) |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7857 |
Polycyclic presentation:
3^5,97|a^3=e,c^3=e,b^a=bd,f^c=f^351155 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23571, 167);