Finite Group DatabasebetaFinite Group Databasebeta| order | 32300 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×Dic425 |
| derived, Hall | C17×C25 ⋊ C4×C19 |
| Hall | C17×C19×C25 ⋊ C4 |
| Hall | C19×C25 ⋊ Dic17 |
| Hall | C17×C19 ⋊ Dic25 |
| Sylow | C25 ⋊ C19×Dic17 |
| Sylow | C17 ⋊ C19×Dic25 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32300 |
8132 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32300, 7);