Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C7×#15692586 |
| derived | C7×C13 ⋊ C4×C7×C9 |
| Hall | C72×C13⋊C9 ⋊ C4 |
| Hall | C7×C7⋊#261 ⋊ C9 |
| Hall | C72×C13 ⋊ C4×C9 |
| Hall | C13⋊C9 ⋊ C7×Dic7 |
| Sylow | C72 ⋊ #261⋊C9 |
| Sylow | C13 ⋊ C7×C9×Dic7 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1638 |
777 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 355);