Finite Group DatabasebetaFinite Group Databasebeta| order | 20900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×C11⋊#1035 |
| unambiguous semidirect product | C11⋊(C19×#1035) |
| Fitting, Hall | C11×C19×C25 ⋊ C4 |
| derived, Hall | C11×C25 ⋊ C4×C19 |
| Hall | C19×C25 ⋊ Dic11 |
| Hall | C11×C19 ⋊ #1035 |
| Sylow | C25 ⋊ C19×Dic11 |
| Sylow | C11 ⋊ C19×#1035 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5225 |
1520 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20900, 22);