Finite Group DatabasebetaFinite Group Databasebeta| order | 37100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×#19127058 |
| Fitting, Hall | C7×C25×C53 ⋊ C4 |
| derived, Hall | C25×C53 ⋊ C4×C7 |
| Hall | C7×C53 ⋊ Dic25 |
| Hall | C7×C25 ⋊ #6157 |
| Sylow | C53 ⋊ C7×Dic25 |
| Sylow | C25 ⋊ C7×#6157 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9275 |
2471 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37100, 21);