Finite Group DatabasebetaFinite Group Databasebeta| order | 19197 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| Fitting | C79×C9⋊C9 ⋊ C3 |
| Sylow | C79 ⋊ #6887 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6399 |
Polycyclic presentation:
3^5,79|a^3=e,c^3=d,b^a=bd,f^b=f^55,f^c=f^23957 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19197, 165);