Based on the way things went in both states, the following is true:
It was the largest Greek City-State in terms of population and had hundreds of thousands of people. It also had a limited democracy as women could not vote.
They focused mainly on military training in their attempt to be the foremost military power. They were an oligarchy where two kings ruled at any given time. Women and girls also had more rights in Sparta.
They both felt they had the superior culture and men controlled the affairs of the nation.
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