chapter house

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun A building in which the chapter of a church or religious residence assembles.
• noun A house in which a chapter of a fraternity or sorority lives and holds its meetings.

from The Century Dictionary.

• noun A building attached to a cathedral or religious house in which the chapter meets for the transaction of business.
• noun The house or building which a chapter of a college fraternity uses as a club-house.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun A building attached to a cathedral, church, or monastery and used as a meeting place.
• noun A building used by a sorority or fraternity as a residence or meeting place.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun a building attached to a monastery or cathedral; used as a meeting place for the chapter
• noun a house used as a residence by a chapter of a fraternity