Factions
From SA Mafia Wiki
Factions are the various groups competing in a game of Mafia, and are most commonly defined by their win conditions. Basic games of Mafia have only two factions: the town and the mafia. However, in more complicated games, there can be many other factions, such as second Mafia groups, the serial killer, or groups that have to accomplish some particular goal that is not necessarily related to the town or the scum.
Large games with many competing factions have become somewhat common in SA Mafia. Red Storm and Purgatory are two examples of where this mechanic was used an an interesting and innovative manner.