Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of #686 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C1 |
| direct product | C25×#689 |
| Sylow | C5×C25 ⋊ Q16 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
425 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 169);