  Unitally nondistributive quantales are unital quantales such that the unit is
approximable by the totally below relation and does not meet-distribute over
arbitrary joins. It is shown that the underlying nondistributive complete
lattice contains at least $7$ elements. Moreover, under mild conditions, every
quantale has an extension to a unitally nondistributive quantale by the
addition of an isolated unit. As a byproduct of this construction we prove that
there exist $30$ non-isomorphic, unitally nondistributive quantales on the set
of $7$ elements.
