Finite Group DatabasebetaFinite Group Databasebeta| order | 23571 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C32 |
| unambiguous semidirect product | H(3,𝔽3)⋊(C97⋊C9) |
| Sylow | C97 ⋊ H(3,𝔽3)⋊C9 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7857 |
Polycyclic presentation:
3^5,97|a^3=d,b^a=bc,c^a=ce,f^a=f^35,c^b=ce1107 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23571, 104);