It was the time when they kidnapped Zetta(but I guess that's my imagination) and when she teleported us in Xen HQ.
Braixen doesn't learn teleport too but she tped in Valor Mountain. I guess Psychic types here have a potential to talk in the plot and all knows Teleport? Just a theory.
Karen could be obsession cause of remade in your their image shit on four darknesses, she's pretty obsessed on hidden library.
Geara could be the raw evil cause he killed Jenner, Madame X could be neutral.