Finite Group DatabasebetaFinite Group Databasebeta| order | 19197 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | C3×#20264263 |
| Fitting | C32×C9×C79 ⋊ C3 |
| Sylow | C79 ⋊ C3×#737 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6399 |
2205 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19197, 302);