Finite Group DatabasebetaFinite Group Databasebeta| order | 16236 |
| isoclinism | isoclinic class of D11 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C41 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×D11×C41 |
| unambiguous semidirect product | C11⋊(C22×C9×C41) |
| unambiguous semidirect product | (C2×C11)⋊(C2×C9×C41) |
| Fitting | C2×C9×C11×C41 ⋊ C2 |
| derived, Sylow | C11 ⋊ C22×C9×C41 |
| Hall | C9×C11×C41 ⋊ C22 |
| Hall | C11×C41 ⋊ C22×C9 |
| Hall | C9×C11 ⋊ C22×C41 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8118 |
5166 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16236, 27);