According to Dr. Bataille, the society had two orders, "Adelph" and "Companion of Ulysses"; however, the society was broken up by French law enforcement a few years after its founding.
Ifølge Dr. Bataille, Palladists havde to ordrer, "Adelph" og "Companion af Ulysses", men at Palladists blev nedlagt af fransk ordenshåndhæver få år efter grundlæggelsen.