Finite Group DatabasebetaFinite Group Databasebeta| order | 36260 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5 · Schur multiplier (H2) = C1 |
| direct product | C5×C49⋊#3866 |
| unambiguous semidirect product | C49⋊(C5×#3866) |
| Fitting, Hall | C5×C37×C49 ⋊ C4 |
| derived, Hall | C37×C49 ⋊ C4×C5 |
| Hall | C5×C49 ⋊ #3866 |
| Hall | C5×C37 ⋊ Dic49 |
| Sylow | C49 ⋊ C5×#3866 |
| Sylow | C37 ⋊ C5×Dic49 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9065 |
2465 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36260, 11);