Something like this for slave managment tab. Gear should be outsite of a specific character, easier to equip multiple people. The tab itself should list all relevant info - seeing what everyone is assigned to and what they re good at a glance. Or perhaps, looks at Rimworlds work tab.
The slave tab itself - the large portrait is just in the way - you have to close the individual screen on the X before you cna select another slave. By removing hte big portrait, you can have the slave list on the other side and switch between slaves more easily.
Another alternative would be to have the slave inventory there. Or heck, an option to switch between slave list (for quick slave switching), gear (more info) or big slave image