Finite Group DatabasebetaFinite Group Databasebeta| order | 23826 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C361 · Schur multiplier (H2) = C1 |
| direct product | C3×D11×C361 |
| unambiguous semidirect product | C11⋊(C2×C3×C361) |
| Fitting, Hall | C3×C11×C361 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C3×C361 |
| Hall | C11×C361 ⋊ C2×C3 |
| Hall | C3×C11 ⋊ C2×C361 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11913 |
7581 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23826, 7);