Finite Group DatabasebetaFinite Group Databasebeta| order | 22806 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C7×C9×D181 |
| Fitting, Hall | C7×C9×C181 ⋊ C2 |
| derived, Sylow | C181 ⋊ C2×C7×C9 |
| Hall | C9×C181 ⋊ C2×C7 |
| Hall | C7×C181 ⋊ C2×C9 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11403 |
5796 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22806, 6);