Finite Group DatabasebetaFinite Group Databasebeta| order | 22806 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C181 · Schur multiplier (H2) = C1 |
| direct product | C9×D7×C181 |
| Fitting, Hall | C7×C9×C181 ⋊ C2 |
| derived, Sylow | C7 ⋊ C2×C9×C181 |
| Hall | C7×C181 ⋊ C2×C9 |
| Hall | C7×C9 ⋊ C2×C181 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11403 |
8145 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22806, 7);