agitation vs lather

agitation and lather both are nouns.

Word	Noun	Adjective	Verb	Adverb
agitation	Yes	No	No	No
lather	Yes	No	Yes	No

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

Other hyponyms of agitation include disturbance, perturbation, upset, fret, stew, sweat, swither, dither, flap, fuss, pother, tizzy, tailspin.

agitation (noun)	lather (noun)
disturbance usually in protest	the froth produced by soaps or detergents
the act of agitating something; causing it to move around (usually vigorously)	the foam resulting from excessive sweating (as on a horse)
the feeling of being agitated; not calm	a workman who puts up laths
a state of agitation or turbulent change or development	agitation resulting from active worry
a mental state of extreme emotional disturbance

agitation (verb)	lather (verb)
	rub soap all over, usually with the purpose of cleaning
	exude sweat or lather
	form a lather
	beat severely with a whip or rod