Finite Groups with Automorphism Groups Having Orders 4pq2 (2 < p < q) II

The authors study and classify finite groups with their automorphism groups having orders 4pq2, where p and q are primes such that 2 < p < q. In 2013 the first and the third authors classified the nilpotent groups of this kind; here the authors give the classification of those finite non-nilpotent groups with their automorphism groups having orders 4pq2.