the.com/schism

means A formal split within an organization or group, usually a religious or political one, caused by a disagreement over doctrine or belief.

from From Greek 'skhisma,' meaning a split or cleft, from the verb 'skhizein,' to cleave or tear apart (the same root that gives us 'schizo-' words). It passed through Latin into Old French and then English, and for centuries was used almost exclusively for the big one — the formal breaking apart of the Christian church into rival factions.