Finite Group DatabasebetaFinite Group Databasebeta| order | 32148 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C47 · Schur multiplier (H2) = C1 |
| direct product | C47×#4294⋊C4 |
| unambiguous semidirect product | #4294⋊(C4×C47) |
| derived, Sylow | C19 ⋊ C4×C9×C47 |
| Hall | C47×#4294 ⋊ C4 |
| Hall | C47×Dic19 ⋊ C9 |
| Hall | C19×C47 ⋊ C4×C9 |
| Hall | #4294 ⋊ C4×C47 |
| Hall | Dic19 ⋊ C9×C47 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32148 |
2538 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32148, 11);