Finite Group DatabasebetaFinite Group Databasebeta| order | 35226 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C103 · Schur multiplier (H2) = C1 |
| direct product | C9×D19×C103 |
| Fitting, Hall | C9×C19×C103 ⋊ C2 |
| derived, Sylow | C19 ⋊ C2×C9×C103 |
| Hall | C19×C103 ⋊ C2×C9 |
| Hall | C9×C19 ⋊ C2×C103 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17613 |
10197 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35226, 7);