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.