Finite Group DatabasebetaFinite Group Databasebeta| order | 37700 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×#15668505 |
| Fitting, Hall | C13×C25×C29 ⋊ C4 |
| derived, Hall | C25×C29 ⋊ C4×C13 |
| Hall | C13×C29 ⋊ Dic25 |
| Hall | C13×C25 ⋊ #1181 |
| Sylow | C29 ⋊ C13×Dic25 |
| Sylow | C25 ⋊ C13×#1181 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9425 |
2639 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37700, 33);