engagement vs group action

engagement and group action both are nouns.

Word	Noun	Adjective	Verb	Adverb
engagement	Yes	No	No	No
group action	Yes	No	No	No

As nouns, group action is a hypernym of engagement; that is, group action is a word with a broader meaning than engagement:

engagement (noun)	group action (noun)
the act of sharing in the activities of a group	action taken by a group of people
a hostile meeting of opposing military forces in the course of a war
the act of giving someone a job
employment for performers or performing groups that lasts for a limited period of time
a mutual promise to marry
contact by fitting together
a meeting arranged in advance