Finite Group DatabasebetaFinite Group Databasebeta| order | 36900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C41 · Schur multiplier (H2) = C3 |
| direct product | C41×#11744620 |
| Fitting, Hall | C32×C25×C41 ⋊ C4 |
| derived, Hall | C32×C25 ⋊ C4×C41 |
| Hall | C25×C41 ⋊ #157 |
| Hall | C32×C41 ⋊ Dic25 |
| Sylow | C25 ⋊ #157×C41 |
| Sylow | C32 ⋊ C41×Dic25 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6150 |
3198 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36900, 160);