Hand to: Tommen Baratheon
Brother to Tywin, Kevan takes control as Hand once Cersei is arrested by the High Sparrow in season five and forced to do her humiliating walk of atonement. He isn't happy with the way Cersei takes over the Small Council after Tywin's death and doesn't think she should be involved with running the realm at all. He even walks out on Cersei and Jaime in season six when they try to join a Small Council meeting.
For what it's worth, Kevan does go along with Jaime and Cersei's plan to have the Tyrell army take Margaery and Loras back from the High Sparrow, but that all goes to hell when Tommen decides to make the religious leader his ally. Kevan is, unfortunately, very present at the Sept of Baelor when Cersei has it blown up with wildfire at the end of season six, so that's the end of him. The Hand of the King and the King himself, both dead probably within an hour of each other.