After being found out in 1785, the Illuminati of Adam Weishaupt changed its name to the Jacobin Club, simply known as the Jacobins.
Weishaupt instructed the Illuminati never to be known by their real name, but concealed under other names. They infiltrated the Freemasons in 1777 hid within their circles as a “Secret Society within a Secret Society” (William T. Stills) and continued as a group under the new title.
George Washington addressed the existence of the Illuminati and Jacobins in a letter in October of 1798 
proving they made it past the threshold of their initial banning to continue stealth, but denying they reached the Lodges in America. This was in regard to John Robison’s book “Proofs of a Conspiracy.” Thomas Jefferson applauded the efforts of the Jacobins in support of them. 
Today still exists a group called the Jacobins and they publish a magazine in their name. Whether or not this is an extension of the original group, they carry on the doctrines of Jacobin ideology and certainly have a presence of membership.
Notes:
John Robison, Proofs of a Conspiracy, 1798
Abbe Barruel, History of Jacobinism, 1798
Letters from Snyder to Washington, Oct 1, Oct 17, 1798
William Stills, New World Order, 1990