Finite Group DatabasebetaFinite Group Databasebeta| order | 25300 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C23⋊(D11⋊C25) |
| unambiguous semidirect product | (C2×C23)⋊(D11⋊C25) |
| unambiguous semidirect product | (C2×C11⋊C25)⋊D23 |
| unambiguous semidirect product | (C2×D253)⋊C25 |
| derived, Hall | C11×C23 ⋊ C22×C25 |
| Hall | C23×C11⋊C25 ⋊ C22 |
| Hall | C2×D253 ⋊ C25 |
| Hall | C11⋊C25 ⋊ C2×D23 |
| Sylow | C23 ⋊ C2×D11⋊C25 |
| Sylow | C11 ⋊ C2×C25×D23 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12650 |
880 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25300, 27);