day camp vs summer camp

day camp and summer camp both are nouns.

Word	Noun	Adjective	Verb	Adverb
day camp	Yes	No	No	No
summer camp	Yes	No	No	No

As nouns, summer camp is a hypernym of day camp; that is, summer camp is a word with a broader meaning than day camp:

day camp: a camp providing care and activities for children during the daytime
summer camp: a site where care and activities are provided for children during the summer months

Other hypernyms of day camp include camp.

day camp (noun)	summer camp (noun)
a camp providing care and activities for children during the daytime	a site where care and activities are provided for children during the summer months