Finite Group DatabasebetaFinite Group Databasebeta| order | 25900 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C7×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C7×C25×D37 |
| unambiguous semidirect product | C37⋊(C22×C7×C25) |
| unambiguous semidirect product | (C2×C37)⋊(C2×C7×C25) |
| Fitting | C2×C7×C25×C37 ⋊ C2 |
| derived, Sylow | C37 ⋊ C22×C7×C25 |
| Hall | C7×C25×C37 ⋊ C22 |
| Hall | C25×C37 ⋊ C22×C7 |
| Hall | C7×C37 ⋊ C22×C25 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12950 |
7000 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25900, 35);