Finite Group DatabasebetaFinite Group Databasebeta| order | 15732 |
| isoclinism | isoclinic class of #4296 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C23 · Schur multiplier (H2) = C1 |
| direct product | C4×C23×#4296 |
| Fitting, Hall | C4×C19×C23 ⋊ C9 |
| derived, Sylow | C19 ⋊ C4×C9×C23 |
| Hall | C19×C23 ⋊ C4×C9 |
| Hall | C4×C19 ⋊ C9×C23 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1748 |
1012 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15732, 39);