What classes is Shaw satirizing in Pygmalion?

Shaw satirizes the upper class in Pygmalion. From the opening to the end the entire purpose of his work is to prove that "anyone" can be a lady, and that money does not make you a lady. Our main characters work towards one goal, the metamorphis of Eliza, and in the end she was really perfect all along. The caterpillar was already a butterfly; she just needed grow.