Finite Group DatabasebetaFinite Group Databasebeta| order | 15732 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×Dic207 |
| unambiguous semidirect product | C9⋊(C19×Dic23) |
| unambiguous semidirect product | C23⋊(C19×Dic9) |
| derived, Hall | C9×C23 ⋊ C4×C19 |
| Hall | C9×C19×C23 ⋊ C4 |
| Hall | C19×C23 ⋊ Dic9 |
| Hall | C9×C19 ⋊ Dic23 |
| Sylow | C23 ⋊ C19×Dic9 |
| Sylow | C9 ⋊ C19×Dic23 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15732 |
3990 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15732, 7);