Finite Group DatabasebetaFinite Group Databasebeta| order | 14823 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | C61×C32⋊C9 ⋊ C3 |
| Sylow | C61 ⋊ #6859 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4941 |
Polycyclic presentation:
3^5,61|b^3=d^2,b^a=bc,c^a=cd,f^a=f^13,c^b=ce,f^b=f^47695 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14823, 81);