Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×D637 |
| Fitting | C2×C9×C13×C49 ⋊ C2 |
| derived, Hall | C13×C49 ⋊ C22×C9 |
| Hall | C9×C13×C49 ⋊ C22 |
| Hall | C9×C49 ⋊ C2×D13 |
| Hall | C9×C13 ⋊ C2×D49 |
| Sylow | C49 ⋊ C2×C9×D13 |
| Sylow | C13 ⋊ C2×C9×D49 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11466 |
5760 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 72);