team vs group

team and group both are nouns.

Word	Noun	Adjective	Verb	Adverb
team	Yes	No	Yes	No
group	Yes	No	Yes	No

As verbs, group is a hypernym of team; that is, group is a word with a broader meaning than team:

Other hypernyms of team include aggroup.

team (noun)	group (noun)
a cooperative unit (especially in sports)	any number of entities (members) considered as a unit
two or more draft animals that work together to pull something	a set that is closed, associative, has an identity element and every element has an inverse
	(chemistry) two or more atoms bound together as a single unit and forming part of a molecule

team (verb)	group (verb)
form a team	arrange into a group or groups
	form a group or group together