Strong, commanding, and arrogant:
* Domineering
* Bossy
* Overbearing
* Haughty
* Arrogant
* Lordly
* Dictatorial
* Autocratic
* Tyrannical
* High-handed
More subtle, but still demanding:
* Authoritative
* Commanding
* Majestic
* Regal
* Exigent
* Peremptory
Focusing on the sense of urgency or insistence:
* Urgent
* Insistent
* Pressing
* Mandatory
Less formal, but still conveying a sense of demand:
* Bossy
* Pushy
* Demanding
The best synonym will depend on the specific context and the intended meaning.