Collocations for faction - noun

dominant, main, major
internal
competing, opposing, rival, warring
He brokered a ceasefire agreement between the warring factions.

breakaway
dissident, rebel
armed
military, parliamentary, political
ethnic, religious
conservative, hard-line, left-wing, liberal, moderate, radical, right-wing
anti-government, anti-war, etc.

lead

faction in
the largest faction in the civil war

faction within
the dominant faction within the government