Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C7 |
| direct product | C2×C7⋊D7×C13⋊C9 |
| derived, Hall | C72×C13 ⋊ C22×C9 |
| Hall | C72×C13⋊C9 ⋊ C22 |
| Hall | C2×C13×C7⋊D7 ⋊ C9 |
| Sylow | C72 ⋊ C22×C13⋊C9 |
| Sylow | C13 ⋊ C2×C9×C7⋊D7 |
300 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11466 |
1092 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 501);