The word schism ('sɪzəm or /'skɪzəm/), from the Greek σχίσμα, skhísma (from σχίζω, skhízō, "to tear, to split"), means a division or a split, usually in an organization or a movement.
A schismatic is a person who creates schism in an organization or who is a member of a splinter group. Schismatic as an adjective means belonging to a schism or schisms, or to those ideas, policies, etc. that are thought to lead towards schism.