Finite Group DatabasebetaFinite Group Databasebeta| order | 19188 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C41 · Schur multiplier (H2) = C1 |
| direct product | C41×C9⋊#261 |
| unambiguous semidirect product | C9⋊(C41×#261) |
| Fitting, Hall | C9×C13×C41 ⋊ C4 |
| derived, Hall | C9×C13 ⋊ C4×C41 |
| Hall | C13×C41 ⋊ Dic9 |
| Hall | C9×C41 ⋊ #261 |
| Sylow | C13 ⋊ Dic9×C41 |
| Sylow | C9 ⋊ C41×#261 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4797 |
1599 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19188, 33);