Here are some alternatives depending on the meaning:
For "a request for something":
* Request
* Command
* Demand
* Instruction
* Direction
For "a state of being organized":
* Organization
* Arrangement
* Sequence
* System
* Structure
For "a group of people or things":
* Group
* Class
* Rank
* Level
For "to put in a specific arrangement":
* Arrange
* Organize
* Sort
* Classify
* Structure
For "a state of peace and quiet":
* Calm
* Peace
* Tranquility
* Harmony
Please give me more context about how you are using the word "order" and I can give you a more specific alternative!