Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | Dic25×#4296 |
| derived, Hall | C19×C25 ⋊ C4×C9 |
| Hall | C25×#4296 ⋊ C4 |
| Hall | C19×Dic25 ⋊ C9 |
| Sylow | C25 ⋊ C4×#4296 |
| Sylow | C19 ⋊ C9×Dic25 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1900 |
308 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 43);