Finite Group DatabasebetaFinite Group Databasebeta| order | 19836 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C29 · Schur multiplier (H2) = C1 |
| direct product | C29×#4294⋊C4 |
| unambiguous semidirect product | #4294⋊(C4×C29) |
| derived, Sylow | C19 ⋊ C4×C9×C29 |
| Hall | C29×#4294 ⋊ C4 |
| Hall | C29×Dic19 ⋊ C9 |
| Hall | C19×C29 ⋊ C4×C9 |
| Hall | #4294 ⋊ C4×C29 |
| Hall | Dic19 ⋊ C9×C29 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19836 |
1566 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19836, 11);