Finite Group DatabasebetaFinite Group Databasebeta| order | 32148 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×D47×#4294 |
| unambiguous semidirect product | C47⋊(C22×#4294) |
| unambiguous semidirect product | (C2×C47)⋊(C2×#4294) |
| derived, Hall | C19×C47 ⋊ C22×C9 |
| Hall | C47×#4294 ⋊ C22 |
| Hall | C2×C19×D47 ⋊ C9 |
| Sylow | C47 ⋊ C22×#4294 |
| Sylow | C19 ⋊ C2×C9×D47 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16074 |
1350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32148, 17);