Finite Group DatabasebetaFinite Group Databasebeta| order | 25900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C37 · Schur multiplier (H2) = C1 |
| direct product | C37×C7⋊#1035 |
| unambiguous semidirect product | C7⋊(C37×#1035) |
| Fitting, Hall | C7×C25×C37 ⋊ C4 |
| derived, Hall | C7×C25 ⋊ C4×C37 |
| Hall | C25×C37 ⋊ Dic7 |
| Hall | C7×C37 ⋊ #1035 |
| Sylow | C25 ⋊ Dic7×C37 |
| Sylow | C7 ⋊ C37×#1035 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6475 |
1924 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25900, 17);