summerhouse vs edifice

summerhouse and edifice both are nouns.

Word	Noun	Adjective	Verb	Adverb
summerhouse	Yes	No	No	No
edifice	Yes	No	No	No

As nouns, edifice is a hypernym of summerhouse; that is, edifice is a word with a broader meaning than summerhouse:

summerhouse: a small roofed building affording shade and rest
edifice: a structure that has a roof and walls and stands more or less permanently in one place

Other hypernyms of summerhouse include building.

summerhouse (noun)	edifice (noun)
a small roofed building affording shade and rest	a structure that has a roof and walls and stands more or less permanently in one place