Finite Group DatabasebetaFinite Group Databasebeta| order | 25100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C25×D251 |
| Fitting | C2×C25×C251 ⋊ C2 |
| derived, Sylow | C251 ⋊ C22×C25 |
| Hall | C25×C251 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12550 |
6350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25100, 15);