commuting conjugacy class graph of g when g / z(g)~=d2n

Suppose g is a finite non-abelian group and γ(g) is a simple graph with the noncentral conjugacy classes of g as its vertex set. two different non-central conjugacy classes c and b are assumed to be adjacent in γ(g) if and only if there are elements a ϵ  a and b ϵ  b such that ab = ba. this graph is called the commuting conjugacy class graph of g. in this paper, the structure of the commuting conjugacy class graph of a group g with this property that g / z(g)~=d2n will be determined.