It is can be used as an adjective as well as noun.
Meaning : a group or organization dividing into two groups as a result of differences in thinking and beliefs. As a noun it is used to refer to a person who promotes schism or is an adherent of a schismatic body.
Etymology: Latin word schismaticus
Synonyms : separatist, heterodox, dissident, dissentient, dissenting, heretical, breakaway, splinter.
Antonyms : mainstream, orthodox
schismatically - adverb
schismaticalness - noun
1)The consolidation of schismatic religious movements over the years has triggered off terrorist activities in many parts of the world.
2)He is schismatic in nature so beware of him.
3)Never listen to schismatic people, they are only sources of trouble.