Stupid question time: To level up my alpha reputation I need to "enslave anyone". How do I do that?
First you need to follow Socket's quest line until she offers to upgrade your cell and buy the cell expansion. Get more rooms if you want more slaves.
When you have an empty room, start a fight with one of the npcs if you win you can enslave them. If it an inmate you don't need anything but if it's a staff member guard/nurse/engineer you will need to put a slave collar on them, you can loot them around or buy them from the arena.
After winning a fight click on enslave and it will give you a small quest, something like do this 3x and that 4x, then you start the encounter and try to complete the quest. If you can't complete it one go just start another fight with the npc.
Finally after all that start another fight with them and click on kidnap, if you have enough room you will get a new slave.
You need to train them once in a while or they will scape and you will have to train them all over again, they stop doing this after you trained them enough. If you go too harsh on them they will break down. Training is slow and repetitive so use the the DG to save you some time, specially if you pretend to have more slaves.