SkekHak
SkekHak along with SkekYi, are the two Skeksis that were killed immediately after the Great Division. His death caused by one of his fellow Skeksis tossing his urRu counterpart into the shaft leading into Thra's core, causing him to suddenly ignite and be burnt to death.
It is unknown what positions he would've held had he lived longer, but it's implied through his counterpart was urHom the Carpenter, implying that his position would be involved in architecture.