  We study the structure of finite quandles in terms of subquandles. Every
finite quandle $Q$ decomposes in a natural way as a union of disjoint
$Q$-complemented subquandles; this decomposition coincides with the usual orbit
decomposition of $Q$. Conversely, the structure of a finite quandle with a
given orbit decomposition is determined by its structure maps. We describe a
procedure for finding all non-connected quandle structures on a disjoint union
of subquandles.
