church building vs house of God

church building and house of God both are nouns.

Word	Noun	Adjective	Verb	Adverb
church building	Yes	No	No	No
house of God	Yes	No	No	No

As nouns, house of God is a hypernym of church building; that is, house of God is a word with a broader meaning than church building:

Other hypernyms of church building include house of prayer, house of worship, place of worship.

church building (noun)	house of God (noun)
a place for public (especially Christian) worship	any building where congregations gather for prayer