Finite groups with a disconnected p-regular conjugacy class graph

Let G be a finite p-solvable group for a fixed prime p. Attach to G a graph Gamma(p)(G) whose vertices are the non-central p-regular conjugacy classes of G and connect two vertices by an edge if their cardinalities have a common prime divisor. In this note we study the structure and arithmetical properties of the p-regular class sizes in p-solvable groups G having Gamma(p)(G) disconnected.