Leo Zagami, has explored the ins and outs of the "Illuminati" and has several detailed books covering his discoveries. In Confessions of an Illuminati, Volume I: He says the that world is run by "Ur Lodges" which are not formally masonic, but have some of the attributes. I would recommend looking at his book to see the list of Ur Lodges that he details.
That sounds fascinating, thank you.