Finite Group DatabasebetaFinite Group Databasebeta| order | 19550 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C23×C25 · Schur multiplier (H2) = C1 |
| direct product | C23×C25×D17 |
| unambiguous semidirect product | C17⋊(C2×C23×C25) |
| Fitting, Hall | C17×C23×C25 ⋊ C2 |
| derived, Sylow | C17 ⋊ C2×C23×C25 |
| Hall | C17×C25 ⋊ C2×C23 |
| Hall | C17×C23 ⋊ C2×C25 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9775 |
5750 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19550, 3);