Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C25 · Schur multiplier (H2) = C3 |
| direct product | C25×C19⋊#157 |
| unambiguous semidirect product | C19⋊(C25×#157) |
| Fitting, Hall | C32×C19×C25 ⋊ C4 |
| derived, Hall | C32×C19 ⋊ C4×C25 |
| Hall | C19×C25 ⋊ #157 |
| Hall | C32×C25 ⋊ Dic19 |
| Sylow | C19 ⋊ C25×#157 |
| Sylow | C32 ⋊ C25×Dic19 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2850 |
1500 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 151);