Finite Group DatabasebetaFinite Group Databasebeta| order | 25300 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C23 · Schur multiplier (H2) = C1 |
| direct product | C23×Dic275 |
| unambiguous semidirect product | C11⋊(C23×Dic25) |
| derived, Hall | C11×C25 ⋊ C4×C23 |
| Hall | C11×C23×C25 ⋊ C4 |
| Hall | C23×C25 ⋊ Dic11 |
| Hall | C11×C23 ⋊ Dic25 |
| Sylow | C25 ⋊ C23×Dic11 |
| Sylow | C11 ⋊ C23×Dic25 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 25300 |
6394 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25300, 9);