das Präsidium
presidium
The board or governing body of an organization, association, or parliament.
Das Präsidium des Vereins tagt einmal im Monat.
The association's presidium meets once a month.

presidium / police headquarters
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presidium
The board or governing body of an organization, association, or parliament.
Das Präsidium des Vereins tagt einmal im Monat.
The association's presidium meets once a month.

'Präsidium' (presidium) is closely related to the word 'Präsident' (president). Both terms contain the idea of chairing or 'presiding' (Latin: praesidere), meaning to stand at the head.
Der Präsident leitet die Sitzung des Präsidiums.
The president chairs the meeting of the presidium.
To distinguish the meanings, pay attention to the context. If it is about an association, a party, or a parliament, it refers to the governing body. In connection with police and crime, it means police headquarters, often also directly called 'Polizeipräsidium' (police headquarters).
Das Präsidium des Bundestages organisiert die Parlamentsarbeit.
The presidium of the Bundestag organizes parliamentary work.
For the governing body, phrases such as 'ins Präsidium gewählt werden' (to be elected to the presidium), 'dem Präsidium angehören' (to belong to the presidium), or 'das Präsidium leitet die Sitzung' (the presidium chairs the meeting) are typical.
Sie wurde für zwei Jahre ins Präsidium des Sportvereins gewählt.
She was elected to the presidium of the sports club for two years.
When the police building is meant, movement there is expressed with 'zum Präsidium' (to the police headquarters) or 'ins Präsidium' (into/to police headquarters). Being there is described with 'im Präsidium' (at/in police headquarters).
Er musste für eine Aussage zum Präsidium fahren.
He had to drive to police headquarters to give a statement.
management / line
'die Leitung' and 'das Präsidium' can both refer to a group that has responsibility within an organization. 'Leitung' is more general and fits companies, schools, departments, or projects. 'Präsidium' is more specific and sounds more official. It is used especially for associations, parliaments, or certain organizations with an elected governing body. The words can be confused because both refer to people in leadership roles. When speaking generally about the people responsible, 'Leitung' is more natural. When it is about an official body with a president or chairperson, 'Präsidium' fits better.

Nach der Versammlung hat das Präsidium über den Antrag beraten.
After the meeting, the presidium discussed the proposal.
Die Leitung der Schule informiert die Eltern über den neuen Plan.
The school management informs the parents about the new plan.