Grey Marshals - an order of jedi devoted to peacekeeping and order. They do believe in "lawful wars" and militant behavior. They draw the line once one planetary system or nation engages in hostilitise against another. Their protected systems tend to be heavily balkanized as splitting nations and system is easier under this form of law than creating new ones. They have a peculiar form of warfare believing that the lightsaber is only fit to use against other force sentitives and they tend to be skilled pilots and crack shots.
Trans-Mortalists - while the light side of the force embraces life, the dark side works better with machinery. The Trans-Mortalists believe in the supremecy of the machine and note that according to legend, Anikin Skywalker (he who brought balance to the force) created a machine in his own image. They hold the old Jedi Order directly responsible for what they believe is a cencoring and deletion of all of the late General Grevious' writings which they have "reconcstructed" in their holy book The Stolen Words.
Holy Degohbahians - the opposite of the Trans-Mortalists. These two factions would be at war with each other if they knew of each other's existence. however the Holy Degohbahians believe in abstaining from all machinery, even lightsabers. Yoda as a teacher, not a messianic figure, is revered and his exile on Degohbah has been mistakenly adopted as a calling. The HD believe in the living force and are emotionally distant. They do not even engage in acts of procreation as they believe the force will give them children as they once did with Lord Vader (who was clearly fallen due to his prosthestics). They are currently being subverted by one Megaahn Ovel. She has implatnted three basoclists within her womb, each with a timed release two years apart with an inital waiting period of five years. She is currently in her first trimester of pregnancy and the Holy Degohbahians believe her unborn child to be the result of the living force.
Jedi Anarchs - a loose philosphy based on passions ruling over dispassion. They embrace love, hate, greed, desire, agony, sorrow, and joy. They're also a lot of fun to be around and the Anarch smoking death-sticks has become a popular character in modern fiction. They are also without goals or plans and thus do not represent a significant power in the galaxy.
Second Archivists - in the aftermath of the Clone Wars some Jedi managed to sneak back to Corsicant and retreive some of the original Jedi Archives. They believe themselves to be the true holders of the original jedi wisdom. They believe that they are the true owners of any jedi artifacts. One of their peculiarities is that they do not constrcut their own lightsabers, believing the ones of the past to be superior.
Guardianists - these aspiring jedi believe in true order which they symbolically represent as ice. When the words of Luke's vision near the cave on the ice planet hoth reached some, they mistakenly believed it to be a site that was close to the force and where one could gain force sensitivity. This is completely false. However, they do have some of the surviving records of the Rebellion and may be holding secrets that they are unaware of themselevs.
Reformed Havartians - A cult of personality based on the very powerful jedi, Havar q'In. It has grown to four thousand in size. All women are "blessed" by carrying his children. His goal is to create an army of force senstitive children and carve out a new Empire.