ordern
to order
To order something, especially goods, services, or also food and drinks. The term is often used in business or modern colloquial contexts.
Ich habe die neuen Bürostühle online geordert.
I ordered the new office chairs online.

to order
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to order
To order something, especially goods, services, or also food and drinks. The term is often used in business or modern colloquial contexts.
Ich habe die neuen Bürostühle online geordert.
I ordered the new office chairs online.

'Ordern' is a loanword from English ('to order'). It often sounds more modern or businesslike than the German word 'bestellen' (to order).
Wir müssen für das Projekt noch zusätzliche Materialien ordern.
We still need to order additional materials for the project.
The meaning depends on the object. If the object is a thing or service, 'ordern' means to order. If the object is a person, it means 'befehlen' (to command/order) or 'herbeirufen' (to summon).
Ich ordere eine Pizza für uns.
I'm ordering a pizza for us.
In the meaning 'bestellen' (to order), the verb is frequently used for goods, food, and services. Typical combinations are 'online ordern' (to order online), 'Essen ordern' (to order food), or 'ein Taxi ordern' (to order a taxi).
Lass uns heute Abend Sushi ordern.
Let's order sushi tonight.
In the meaning 'befehlen' (to command/order), the structure 'jemanden (Akkusativ) an einen Ort / zu sich ordern' (to summon/order someone to a place / to oneself) is often used. This usage is formal and often found in military or hierarchical contexts.
Der Kommandant orderte die Truppen an die Front.
The commander ordered the troops to the front.
to call
'rufen' and 'ordern' can both mean that someone is supposed to come to a place. 'rufen' is the normal and natural word for this, for example when you need a doctor, a taxi, or help. 'ordern' sounds clearly more formal, harsher, or military in this meaning. It fits more when someone with authority orders a person to a place. In everyday life, people almost always say 'rufen'. 'ordern' is used more often for goods or food, but that is not the shared point here.

Nach dem Vorfall orderte die Leitung alle Mitarbeiter in den Besprechungsraum.
After the incident, management ordered all employees to the meeting room.
Bei starken Schmerzen rief Lisa sofort einen Arzt.
When she had severe pain, Lisa immediately called a doctor.