
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.

crew
A group of people who carry out a particular task together, especially on a ship, in an aircraft, or with the fire department; a crew.
Die Mannschaft des Rettungshubschraubers war schnell vor Ort.
The rescue helicopter crew was quickly on the scene.

rank-and-file soldiers
In the military, the group of soldiers with the lowest ranks, as opposed to non-commissioned officers and officers.
Der General inspizierte die angetretene Mannschaft.
The general inspected the assembled rank-and-file soldiers.
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
Gruppe and Mannschaft can both refer to several people who appear or act together. Mannschaft specifically refers to an established unit in sports, while Gruppe can also be merely a classification or a temporary grouping. Mannschaft fits a competition; Gruppe is more suitable for a neutral division.

Unsere Mannschaft gewann das Spiel am Samstag.
Our team won the game on Saturday.
Der Trainer teilte die Spieler für die Übung in zwei Gruppen ein.
The coach divided the players into two groups for the exercise.