Well, SP can probably answer this a little better, but ill toss out the factions in ROH's history and current.
Phophecy- The first faction. Headed by Christopher Daniels, also included BJ Whitmer, Dan Maff and allison Danger. Main fueds against ROH in general, and Low Ki. A anti-established faction. Were around from 2002-2004.
Second City Saints - Headed by CM Punk also included Colt Cabana and Ace Steele. They fueded with the Propecy, Ricky Steamboat, and the Briscoes. More of a alliance than a faction imo. (2003-2005)
Rottweilers - Headed by Homicide, and Low Ki later joined. Also included The Havana Pitbulls (Rocky Romero and Ricky Reyes) and managed by Julius Smokes Fueded with Samoa Joe and Bryan Danielson. These were the street thug nwo like faction, but more aggressive. Homicide was pretty hardcore. (late 2003 - 2006)
Embassy - This group was lead by its manager Prince Nana. I don't know their story as well, but basically Nana was building a army against ROH. He sought out his "crown Jewel" in Jimmy Rave, who was probably the most hated man in ROH history. Several Members came in and out, but the main members were Rave, Alex Shelly, Xavier, Jade Chung, Petey WIlliaims, John Walters, Abyss, Sal Rinauro. They fueded with most everyone at the time. (2004-2006)
Generation Next-Argueably the greatest faction in ROH history. A face faction, that was the future of wrestling. Alex Shelly formed the group, but was later replaced by Austin Aries as the leader. The group included Shelly, Aries, Sydal, Evans and Roderick Strong. Aries/Strong held the tag belts for a real good run. Their main fued was against the Embassy, but also feuded with everyone. (2004-2006)
No Remorse Corp- This was the first of the next era of stables in ROH. It was a spawn of General Next, as Roderick Strong turned on Austin Aries and started his own faction. Roderick got Davey Richards and Rocky Romero. They mostly fueded with Aries and The Resilence. (2007-2008)
Resilence Austin Aries had to get some backups against the NRC so he got Erick Stevens and matt Cross. It was a short lived faction. (2007)
Hangman III Headed by Adam Pearce also included Brent ALbright, Shane Hagadorn and BJ Whitmer. Fueded with Delirous. Basically joined together because Pearce could control minds and they needed another faction. Short lived as well (2007)
Current Stables
Age of the Fall The Social Revolution faction headed by Jimmie Jacobs, also included, Tyler Black, Necro Butcher, Delirous, Joey Matthews, Zach Gowen, Lacy, Allison Wonderland. Fueds with the briscoes and Steenerico. Two time tag champs. (2007-present)
Sweet N Sour These is the entertainment faction of ROH headed by Chris Hero and the Super agent Larry Sweeney. Very cocky hollywood like characters. Bought out the Hangmen III and others free agent wrestlers. Bobby Dempsey is their whipping boy. Members include Tank Toland, Sara Del Ray, Davey Richards, Adam Pearce, Eddie Edwards, Go Shoizaki. Main feuds with Cluadio Castagnoli, and Roderick Strong. (2007-present)
Vulture Squad - Well sorta, they started out as a faction, and then turned more into a tag team. Headed by Jack Evans who is gone from ROH at the moment. Also included Ruckus, and Jigsaw. Not a real strong faction, and won't be around too much longer if Evans doesn't return. (2007-present)
I think thats about all of them.
