Finite Group DatabasebetaFinite Group Databasebeta| order | 24700 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C25×D247 |
| unambiguous semidirect product | (C2×C13)⋊(C25×D19) |
| unambiguous semidirect product | (C2×C19)⋊(C25×D13) |
| Fitting | C2×C13×C19×C25 ⋊ C2 |
| derived, Hall | C13×C19 ⋊ C22×C25 |
| Hall | C13×C19×C25 ⋊ C22 |
| Hall | C19×C25 ⋊ C2×D13 |
| Hall | C13×C25 ⋊ C2×D19 |
| Sylow | C19 ⋊ C2×C25×D13 |
| Sylow | C13 ⋊ C2×C25×D19 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12350 |
6250 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24700, 33);