CI-property for the group $(\mathbb{Z}_p)^2\times\mathbb{Z}_q\times\mathbb{Z}_r$

In this paper we prove that the group $(\mathbb{Z}_p)^2\times\mathbb{Z}_q\times\mathbb{Z}_r$ is CI-group, where $p$, $q$, $r$ are primes such that $q$ and $r$ divide $p-1$, and $r$ divides $q-1$.