The schismatic debate created opposing factions within the political party.

schismatic 来自名词 schism（分裂、派系），加上形容词后缀 -atic 构成。schism 源自希腊语，原指宗教或政治团体的分裂。schismatic 形容"导致或关于分裂的"，特指造成团体内部对立分歧的情况。