Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C7×C9 · Schur multiplier (H2) = C2 |
| direct product | C22×C7×#11717941 |
| derived | C7×C13 ⋊ C22×C7×C9 |
| Hall | C22×C72×C13 ⋊ C9 |
| Hall | C72×C13 ⋊ C22×C9 |
| Hall | C22×C72 ⋊ C13⋊C9 |
| Hall | C22×C13 ⋊ C7×C7⋊C9 |
| Sylow | C72 ⋊ C22×C13⋊C9 |
| Sylow | C13 ⋊ C22×C7×C7⋊C9 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3276 |
2772 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 551);