This could be better organized, just to pretty things up a little
Warrior, Mage, and Thief are the 3 classes. Smithing is a warrior skill, light armor, speech, and alchemy are thief skills. Enchanting goes under mage. There you go, 3 classes, 6 skills each. That's how it is organized in game, so it should be for this.
Matthew Ierfino commented
I like it how t is because here aren't that many in each category