System File Folders

It is not possible to move anything to the System folder in iOS.

Apps can only be found and moved around on the Home Screen or in the App Library. You should also be aware that it is not possible to change the setup in the App Library. The setup is dynamic and adapts to which apps you use.

On the home screen you can create folders. This is done by moving an app on top of another app - this will form a folder to which you can add more apps.

You can read more about how to manage your Home Screen here:

Organize the Home Screen and App Library on your iPhone - Apple Support

You can organize your apps into folders to make them easier to find on your Home Screen pages. Follow the steps here: Organize your apps in folders on iPhone - Apple Support