  In his famous monograph on permutation groups, H.~Wielandt gives an example
of a Schur ring over an elementary abelian group of order $p^2$ ($p>3$ is a
prime), which is non-schurian, that is, it is the transitivity module of no
permutation group. Generalizing this example, we construct a huge family of
non-schurian Schur rings over elementary abelian groups of even rank.
