"In fact, this network, which we may identify as the Round Table Groups, has no aversion to cooperating with the Communists, or any other groups, and frequently does so"

This quote by Carroll Quigley is describing a network of effective individuals and companies that he calls the Round Table Groups. This network is not opposed to working with the Communists or any other groups, and in fact, they typically do work together. This suggests that the Round Table Groups are not necessarily aligned with any particular political ideology, however rather are concentrated on their own interests. This might mean that they want to deal with anybody who can assist them achieve their objectives, regardless of their political views. This could likewise recommend that the Round Table Groups are more worried about their own power and influence than with any particular political ideology. Ultimately, this quote indicates that the Round Table Groups are an effective and influential network that wants to work together with anyone who can help them accomplish their objectives.