
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.

to summon
To order someone to a particular place or call them to oneself. This use is rather formal, outdated, or military in tone.
Der General orderte den Hauptmann umgehend in sein Büro.
The general summoned the captain to his office immediately.
'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“ refers to neutrally summoning someone or asking them to come. „Ordern“ can also express summoning someone, but it sounds considerably more formal, commanding, and sometimes military. Use „rufen“ in everyday situations and „ordern“ only when that particular tone is intended.

Der Offizier ordert den Soldaten ins Büro.
The officer orders the soldier to come to the office.
Der Trainer ruft den Spieler zu sich.
The coach calls the player over to him.