Finite Group DatabasebetaFinite Group Databasebeta| order | 24700 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13×C25 · Schur multiplier (H2) = C1 |
| direct product | C13×C25×Dic19 |
| unambiguous semidirect product | C19⋊(C4×C13×C25) |
| derived, Sylow | C19 ⋊ C4×C13×C25 |
| Hall | C13×C19×C25 ⋊ C4 |
| Hall | C19×C25 ⋊ C4×C13 |
| Hall | C13×C19 ⋊ C4×C25 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 24700 |
7150 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24700, 2);