coif vs pompadour

coif and pompadour both are nouns.

Word	Noun	Adjective	Verb	Adverb
coif	Yes	No	Yes	No
pompadour	Yes	No	Yes	No

As nouns, pompadour is a hyponym of coif; that is, pompadour is a word with a more specific, narrower meaning than coif:

coif: the arrangement of the hair (especially a woman's hair)
pompadour: a hair style in which the front hair is swept up from the forehead

coif (noun)	pompadour (noun)
a skullcap worn by nuns under a veil or by soldiers under a hood of mail or formerly by British sergeants-at-law	a hair style in which the front hair is swept up from the forehead
the arrangement of the hair (especially a woman's hair)

coif (verb)	pompadour (verb)
arrange attractively	style women's hair in a pompadour
cover with a coif