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The Collaborative International Dictionary
Schismatically

Schismatical \Schis*mat"ic*al\, a. Same as Schismatic. -- Schis*mat"ic*al*ly, adv. -- Schis*mat"ic*al*ness, n.

Wiktionary
schismatically

adv. In a schismatic way.

WordNet
schismatically

adv. in a manner that is schismatic