Finite Group DatabasebetaFinite Group Databasebeta| order | 19197 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C79×#732 ⋊ C3 |
| Sylow | C79 ⋊ #6911 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2133 |
Polycyclic presentation:
3^5,79|b^3=e^2,b^a=bd,d^a=de,c^b=ce,f^c=f^23477 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19197, 273);