What differentiates the different cultures/factions?

Do all cultures play about the same? Ie. In StarCraft the different races have vastly different playstyles and vibes.

My basic understanding is: - Norse are more offense/rush oriented. - Egypt are more defense/boom oriented - Greece is versatile? - Atlanteans are also defense/boom? - Chinese are also defense/boom?

What major differences exist among the major gods in each civ?

I know hades is archers, Poseidon is cav, and Zeus is infantry - what about the other cultures?