Number of non-isomorphic groups of square-free order $n$

Question

$G$ is a group of order $n=p_1p_2....p_k$ then how to find the number of non-isomorphic groups of order $n$ where $p_i's$ are distinct primes

I can find the number of number of non-isomorphic abelian groups if $G$ has order of this type but how to proceed if $G$ is given to be any group?

Has any research been done in this direction?Where can I find it?