homeobox vs homeotic gene

homeobox and homeotic gene both are nouns.

Word	Noun	Adjective	Verb	Adverb
homeobox	Yes	No	No	No
homeotic gene	Yes	No	No	No

As nouns, homeotic gene is a hypernym of homeobox; that is, homeotic gene is a word with a broader meaning than homeobox:

homeobox: one of various similar homeotic genes that are involved in bodily segmentation during embryonic development
homeotic gene: one the genes that are involved in embryologic development

homeobox (noun)	homeotic gene (noun)
one of various similar homeotic genes that are involved in bodily segmentation during embryonic development	one the genes that are involved in embryologic development