Finite Group DatabasebetaFinite Group Databasebeta| order | 19188 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×C9⋊#4223 |
| unambiguous semidirect product | C9⋊(C13×#4223) |
| Fitting, Hall | C9×C13×C41 ⋊ C4 |
| derived, Hall | C9×C41 ⋊ C4×C13 |
| Hall | C13×C41 ⋊ Dic9 |
| Hall | C9×C13 ⋊ #4223 |
| Sylow | C41 ⋊ C13×Dic9 |
| Sylow | C9 ⋊ C13×#4223 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4797 |
1326 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19188, 31);