Finite Group DatabasebetaFinite Group Databasebeta| order | 32364 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C29 · Schur multiplier (H2) = C1 |
| direct product | C29×Dic279 |
| unambiguous semidirect product | C9⋊(C29×Dic31) |
| unambiguous semidirect product | C31⋊(C29×Dic9) |
| derived, Hall | C9×C31 ⋊ C4×C29 |
| Hall | C9×C29×C31 ⋊ C4 |
| Hall | C29×C31 ⋊ Dic9 |
| Hall | C9×C29 ⋊ Dic31 |
| Sylow | C31 ⋊ C29×Dic9 |
| Sylow | C9 ⋊ C29×Dic31 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32364 |
8178 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32364, 7);