  For quasifields, the concept of parastrophy is slightly weaker than isotopy.
Parastrophic quasifields yield isomorphic translation planes but not
conversely. We investigate the right multiplication groups of finite
quasifields. We classify all quasifields having an exceptional finite
transitive linear group as right multiplication group. The classification is up
to parastrophy, which turns out to be the same as up to the isomorphism of the
corresponding translation planes.
