Finite Group DatabasebetaFinite Group Databasebeta| order | 19197 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C34 |
| direct product | C9×C32⋊(C79⋊C3) |
| Fitting | C32×C9×C79 ⋊ C3 |
| Sylow | C79 ⋊ C9×H(3,𝔽3) |
202 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, 168);