Schisma

4978 schisma (skhis'-mah);

from 4977; a split or gap ("schism"), literally or figuratively:

KJV-- division, rent, schism.

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4977 schizo (skhid'-zo);

apparently a primary verb; to split or sever (literally or figuratively):

KJV-- break, divide, open, rend, make a rent.

SCHISM

A separation or division into factions, especially a break in church fellowship <1 Cor. 12:25>; (discord, RSV; division, NASB, NIV). The apostle Paul was concerned about the divisions within the church at Corinth <1 Cor. 1:10; 11:18>. Jealousy, mistrust, and party strife must be replaced, said Paul, by mutual respect and unity of mind and heart in the Holy Spirit.

(from Nelson's Illustrated Bible Dictionary)