Finite Group DatabasebetaFinite Group Databasebeta| order | 32300 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×C19⋊#1035 |
| unambiguous semidirect product | C19⋊(C17×#1035) |
| Fitting, Hall | C17×C19×C25 ⋊ C4 |
| derived, Hall | C19×C25 ⋊ C4×C17 |
| Hall | C17×C25 ⋊ Dic19 |
| Hall | C17×C19 ⋊ #1035 |
| Sylow | C25 ⋊ C17×Dic19 |
| Sylow | C19 ⋊ C17×#1035 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8075 |
2312 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32300, 14);