Finite Group DatabasebetaFinite Group Databasebeta| order | 19836 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×C9⋊#1181 |
| unambiguous semidirect product | C9⋊(C19×#1181) |
| Fitting, Hall | C9×C19×C29 ⋊ C4 |
| derived, Hall | C9×C29 ⋊ C4×C19 |
| Hall | C19×C29 ⋊ Dic9 |
| Hall | C9×C19 ⋊ #1181 |
| Sylow | C29 ⋊ C19×Dic9 |
| Sylow | C9 ⋊ C19×#1181 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4959 |
1425 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19836, 23);