Finite Group DatabasebetaFinite Group Databasebeta| order | 32300 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×Dic475 |
| unambiguous semidirect product | C19⋊(C17×Dic25) |
| derived, Hall | C19×C25 ⋊ C4×C17 |
| Hall | C17×C19×C25 ⋊ C4 |
| Hall | C17×C25 ⋊ Dic19 |
| Hall | C17×C19 ⋊ Dic25 |
| Sylow | C25 ⋊ C17×Dic19 |
| Sylow | C19 ⋊ C17×Dic25 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32300 |
8126 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32300, 6);