Finite Group DatabasebetaFinite Group Databasebeta| order | 32148 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×Dic423 |
| unambiguous semidirect product | C9⋊(C19×Dic47) |
| unambiguous semidirect product | C47⋊(C19×Dic9) |
| derived, Hall | C9×C47 ⋊ C4×C19 |
| Hall | C9×C19×C47 ⋊ C4 |
| Hall | C19×C47 ⋊ Dic9 |
| Hall | C9×C19 ⋊ Dic47 |
| Sylow | C47 ⋊ C19×Dic9 |
| Sylow | C9 ⋊ C19×Dic47 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32148 |
8094 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32148, 7);