Finite Group DatabasebetaFinite Group Databasebeta| order | 36900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C25 · Schur multiplier (H2) = C3 |
| direct product | C25×#13093287 |
| Fitting, Hall | C32×C25×C41 ⋊ C4 |
| derived, Hall | C32×C41 ⋊ C4×C25 |
| Hall | C25×C41 ⋊ #157 |
| Hall | C32×C25 ⋊ #4223 |
| Sylow | C41 ⋊ C25×#157 |
| Sylow | C32 ⋊ C25×#4223 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6150 |
2400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36900, 154);