die Mannschaft
team
A group of athletes who take part in competitions together as a team.
Die deutsche Fußballnationalmannschaft hat das Spiel gewonnen.
The German national football team won the game.

team / crew
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team
A group of athletes who take part in competitions together as a team.
Die deutsche Fußballnationalmannschaft hat das Spiel gewonnen.
The German national football team won the game.

The word is made up of 'Mann' (man) and the ending '-schaft'. The ending '-schaft' forms feminine nouns that refer to a community or group, and it is always feminine.
Die ganze Nachbarschaft feierte zusammen das Sommerfest.
The whole neighborhood celebrated the summer festival together.
Although 'Mannschaft' (team/crew) describes a group of people, the noun is grammatically singular. Therefore, the verb in the sentence must also be singular.
Die Mannschaft trainiert heute auf dem neuen Platz.
The team is training on the new field today.
The meaning of 'Mannschaft' (team/crew) is easy to recognize from context. In connection with sports, it refers to a team (m01); with ships or aircraft, to a crew (m02); and in the military, to soldiers (m03).
Die Fußball-Mannschaft feiert ihren Sieg.
The football team is celebrating its victory.
In a sports context, 'Mannschaft' (team) is often used with verbs like 'anfeuern' (to cheer on), 'aufstellen' (to select/field), or 'trainieren' (to train). You can also say 'in einer Mannschaft spielen' (to play on a team) or 'Teil einer Mannschaft sein' (to be part of a team).
Die Fans feuerten ihre Mannschaft lautstark an.
The fans loudly cheered on their team.
group
'die Gruppe' and 'die Mannschaft' both refer to several people who belong together. 'Gruppe' is very general and can fit almost any collection or unit of people. 'Mannschaft' is used especially when the people act together as a team, particularly in sports or in certain tasks, for example on a ship or in the fire department. Learners may confuse the words because a 'Mannschaft' is also a group. But not every group is a 'Mannschaft'. When teamwork, competition, or a shared task is the main focus, 'Mannschaft' is more precise.

Nach dem Training spricht der Trainer mit der Mannschaft über das nächste Spiel.
After training, the coach talks with the team about the next game.
Am Nachmittag trifft sich die Gruppe in der Bibliothek zum Lernen.
In the afternoon, the group meets in the library to study.