Finite Group DatabasebetaFinite Group Databasebeta| order | 36900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C25 · Schur multiplier (H2) = C1 |
| direct product | C25×Dic369 |
| unambiguous semidirect product | C9⋊(C25×Dic41) |
| derived, Hall | C9×C41 ⋊ C4×C25 |
| Hall | C9×C25×C41 ⋊ C4 |
| Hall | C25×C41 ⋊ Dic9 |
| Hall | C9×C25 ⋊ Dic41 |
| Sylow | C41 ⋊ C25×Dic9 |
| Sylow | C9 ⋊ C25×Dic41 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 36900 |
9300 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36900, 10);