Finite Group DatabasebetaFinite Group Databasebeta| order | 19197 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C79×#733 ⋊ C3 |
| Sylow | C79 ⋊ #6908 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2133 |
Polycyclic presentation:
3^5,79|c^3=e,b^a=bd,d^a=de,f^a=f^55,f^b=f^23,f^c=f^23493 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19197, 262);