Finite Group DatabasebetaFinite Group Databasebeta| order | 10764 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×Dic207 |
| unambiguous semidirect product | C9⋊(C13×Dic23) |
| unambiguous semidirect product | C23⋊(C13×Dic9) |
| derived, Hall | C9×C23 ⋊ C4×C13 |
| Hall | C9×C13×C23 ⋊ C4 |
| Hall | C13×C23 ⋊ Dic9 |
| Hall | C9×C13 ⋊ Dic23 |
| Sylow | C23 ⋊ C13×Dic9 |
| Sylow | C9 ⋊ C13×Dic23 |
36 conjugacy classes of subgroups.
2730 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10764, 10);