schism vs schismatical

schism is a noun but schismatical is not a noun.

Word	Noun	Adjective	Verb	Adverb
schism	Yes	No	No	No
schismatical	No	Yes	No	No

schism (noun)	schismatical (noun)
division of a group into opposing factions
the formal separation of a church into two churches or the withdrawal of one group over doctrinal differences

schism (adjective)	schismatical (adjective)
	of or relating to or involved in or characteristic of schism