Social Group Manager allows you to effectively manage facebook group and pages users' permissions by letting you create as many different groups and sub-groups on facebook as you could possibly need. This configuration can be as simple or as complicated as you make it.
The most traditional system (shown below) uses facebook friends and user groups inheritance, starting with new players at the top, and owners on the bottom. On smaller servers you might end up merging the moderator and admin rolls, but most people will have different opinions when it comes to which powers the admin should receive access to, and which powers moderators should receive as well.
Social Manager for Facebook
9Apps 4.9
