group vs team

group and team both are nouns.

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

As verbs, team is a hyponym of group; that is, team is a word with a more specific, narrower meaning than group:

Other hyponyms of group include team up, embed, gang, gang up, pool, brigade.

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

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