Finite Group DatabasebetaFinite Group Databasebeta| order | 19404 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C49 · Schur multiplier (H2) = C3 |
| direct product | C49×C11⋊#157 |
| unambiguous semidirect product | C11⋊(#157×C49) |
| Fitting, Hall | C32×C11×C49 ⋊ C4 |
| derived, Hall | C32×C11 ⋊ C4×C49 |
| Hall | C11×C49 ⋊ #157 |
| Hall | C32×C49 ⋊ Dic11 |
| Sylow | C11 ⋊ #157×C49 |
| Sylow | C32 ⋊ Dic11×C49 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3234 |
1764 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19404, 95);