forbidden subgraphs of co-prime graphs of finite groups

For a finite group g the co-prime graph γ(g) is defined as a graph with vertex set g in which two distinct vertices x and y are adjacent if and only if gcd(o(x),o(y)) = 1 where o(x) and o(y) denote the orders of the elements x and y respectively. in this paper we find properties of groups whose co-prime graphs forbid graphs such as c4,k1,3,p4 and asteroidal triples.