
der Verband
association
An organization or union of people, clubs, or companies with shared interests.
Der Deutsche Fußball-Bund ist der größte Sportverband der Welt.
The German Football Association is the largest sports association in the world.
association / bandage
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association
An organization or union of people, clubs, or companies with shared interests.
Der Deutsche Fußball-Bund ist der größte Sportverband der Welt.
The German Football Association is the largest sports association in the world.

bandage
A medical aid made of sterile material that is used to cover and protect a wound.
Die Ärztin legte dem verletzten Kind einen Verband um den Arm.
The doctor put a bandage around the injured child's arm.

formation / unit
A tactical formation or unit of military forces such as soldiers, ships, or aircraft.
Der Flottenverband bewegte sich in Richtung des Krisengebiets.
The naval formation moved toward the crisis area.
'Der Verband' comes from the verb 'verbinden' (to connect/bind). The idea of connecting or binding appears in all meanings: people are connected in an organization, a wound is bound with cloth, or military units are joined together.
Die beiden Firmen sind eng miteinander verbunden.
The two companies are closely connected with each other.
The meaning is usually clear. Words like 'Mitglieder' (members) or 'Satzung' (statutes/bylaws) point to an organization. Words like 'Wunde' (wound) or 'Arzt' (doctor) indicate the medical bandage. Military terms like 'Flotte' (fleet) or 'Truppen' (troops) signal the military meaning.
Der Verband hat auf seiner Jahrestagung einen neuen Vorstand gewählt.
The association elected a new board at its annual conference.
In connection with an organization, you can say 'einem Verband beitreten' (to join an association), 'einen Verband gründen' (to found an association), or 'Mitglied in einem Verband sein' (to be a member of an association).
Viele kleine Betriebe sind in diesem Verband organisiert.
Many small businesses are organized in this association.
When referring to a medical bandage, the typical verbs are 'anlegen' (to apply/put on a wound), 'wechseln' (to change/use a new one), and 'tragen' (to wear on the body).
Der Sanitäter legte dem Verletzten schnell einen Verband an.
The paramedic quickly applied a bandage to the injured person.
club / association
Verein and Verband are organized groups formed around shared interests. In a Verein, the members are typically individual people. A Verband is usually broader and can represent several Vereine, companies, or other institutions, although individuals can also belong to one directly.

Im regionalen Fußballverband sind zwanzig Vereine aus der Region zusammengeschlossen.
Twenty clubs from the region are members of the regional soccer association.
Im örtlichen Fußballverein spielen zweihundert Menschen aus der Stadt.
Two hundred people from the city play for the local soccer club.