Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C7×C9×C13 · Schur multiplier (H2) = C2 |
| direct product | C7×C13×C22⋊(C7⋊C9) |
| unambiguous semidirect product | C22⋊(C7×C13×C7⋊C9) |
| unambiguous semidirect product | C7⋊(C7×C13×C22⋊C9) |
| derived | C22×C7 ⋊ C7×C9×C13 |
| Hall | C22×C72×C13 ⋊ C9 |
| Hall | C72×C13 ⋊ C22⋊C9 |
| Hall | C22×C72 ⋊ C9×C13 |
| Hall | C22×C13 ⋊ C7×C7⋊C9 |
| Sylow | C72 ⋊ C13×C22⋊C9 |
| Sylow | C22 ⋊ C7×C13×C7⋊C9 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1638 |
3276 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 543);