Finite Group DatabasebetaFinite Group Databasebeta| order | 32148 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×D893 |
| unambiguous semidirect product | (C2×C47)⋊(C9×D19) |
| Fitting | C2×C9×C19×C47 ⋊ C2 |
| derived, Hall | C19×C47 ⋊ C22×C9 |
| Hall | C9×C19×C47 ⋊ C22 |
| Hall | C9×C47 ⋊ C2×D19 |
| Hall | C9×C19 ⋊ C2×D47 |
| Sylow | C47 ⋊ C2×C9×D19 |
| Sylow | C19 ⋊ C2×C9×D47 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16074 |
8064 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32148, 32);