For a field group, I can only set position (after content/side) and priority (high/low).
The groups still end up on kind of random positions in the editor. I'd like to set a more precise position, above groups that are added by other plugins, for example. All I can currently do, is move the "after content groups" up and down. I can't move the ones in the sidebar up and down. And it's all user based, so if someone else logs on they have to do it themselves.