loyalty vs cooperation

loyalty and cooperation both are nouns.

Word	Noun	Adjective	Verb	Adverb
loyalty	Yes	No	No	No
cooperation	Yes	No	No	No

As nouns, cooperation is a hypernym of loyalty; that is, cooperation is a word with a broader meaning than loyalty:

loyalty: the act of binding yourself (intellectually or emotionally) to a course of action
cooperation: joint operation or action

loyalty (noun)	cooperation (noun)
the act of binding yourself (intellectually or emotionally) to a course of action	joint operation or action
the quality of being loyal	the practice of cooperating
feelings of allegiance