Finite Group DatabasebetaFinite Group Databasebeta| order | 37332 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C61 · Schur multiplier (H2) = C1 |
| direct product | C61×C9⋊#595 |
| unambiguous semidirect product | C9⋊(C61×#595) |
| Fitting, Hall | C9×C17×C61 ⋊ C4 |
| derived, Hall | C9×C17 ⋊ C4×C61 |
| Hall | C17×C61 ⋊ Dic9 |
| Hall | C9×C61 ⋊ #595 |
| Sylow | C17 ⋊ Dic9×C61 |
| Sylow | C9 ⋊ C61×#595 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9333 |
2928 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37332, 33);