Finite Group DatabasebetaFinite Group Databasebeta| order | 19197 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
No aliases for this group.
| Fitting | C3×3−1+2×C79 ⋊ C3 |
| Sylow | C79 ⋊ 3−1+4 |
460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2133 |
Polycyclic presentation:
3^5,79|a^3=e,b^a=be,d^a=de,c^b=ce,f^c=f^23941 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19197, 307);