Finite Group DatabasebetaFinite Group Databasebeta| order | 15732 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C23 · Schur multiplier (H2) = C1 |
| direct product | C23×Dic171 |
| unambiguous semidirect product | C9⋊(C23×Dic19) |
| unambiguous semidirect product | C19⋊(C23×Dic9) |
| derived, Hall | C9×C19 ⋊ C4×C23 |
| Hall | C9×C19×C23 ⋊ C4 |
| Hall | C19×C23 ⋊ Dic9 |
| Hall | C9×C23 ⋊ Dic19 |
| Sylow | C19 ⋊ C23×Dic9 |
| Sylow | C9 ⋊ C23×Dic19 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15732 |
4002 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15732, 8);