Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C7×#261×C7⋊C9 |
| derived | C7×C13 ⋊ C4×C7×C9 |
| Hall | C7×C13×C7⋊C9 ⋊ C4 |
| Hall | C72×#261 ⋊ C9 |
| Hall | C72×C13 ⋊ C4×C9 |
| Sylow | C72 ⋊ C9×#261 |
| Sylow | C13 ⋊ C4×C7×C7⋊C9 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 819 |
735 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 354);