Here's the groups as they should be in my opinion. I matched them based on personality (except for Vera, since I don't see her getting along with many people), but if you have a better idea go ahead and tell me.

Grace, Haklo Desol, Skender, La'Shara, Vera Riovas

Luna, Rendyl, Luka, Seralis, Kwan Sha Seng Yun, Evovaine Emitt

EDIT: changed Evovaine's place due to Torack's preference