  The finite topological quandles can be represented as $n\times n$ matrices,
recently defined by S. Nelson and C. Wong. In this paper, we first study the
finite topological quandles and we show how to use these matrices to
distinguish all isomorphism classes of finite topological quandles for a given
cardinality $n$. As an application, we classify finite topological quandles
with up to 4 elements.
