Finite Group DatabasebetaFinite Group Databasebeta| order | 20900 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C19⋊(D11⋊C25) |
| unambiguous semidirect product | (C2×C19)⋊(D11⋊C25) |
| unambiguous semidirect product | (C2×C11⋊C25)⋊D19 |
| unambiguous semidirect product | (C2×D209)⋊C25 |
| derived, Hall | C11×C19 ⋊ C22×C25 |
| Hall | C19×C11⋊C25 ⋊ C22 |
| Hall | C2×D209 ⋊ C25 |
| Hall | C11⋊C25 ⋊ C2×D19 |
| Sylow | C19 ⋊ C2×D11⋊C25 |
| Sylow | C11 ⋊ C2×C25×D19 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10450 |
740 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20900, 16);