How does Shaw satirize society in Pygmalion?

As a Socialist, George Bernard Shaw was acutely displeased
with what he perceived as the flaws of the British class system.  In his play,
Pygmalion, he incisively lampoons the rigid British class system of
his time; for, by taking the lowest class person and using the ruse of the classic myth
of Pygmalion as his title, Shaw satirizes the superficiality of the
British upper class, who readily accept the beautifully transformed cockney flower
peddler, Eliza Doolittle, once she learns to sound like a
lady.  

With its ending, too, Shaw clearly satirizes the
British society, particularly the role of women in society as his very independent
character leaves Dr. Higgins, who has virtually recreated her.  She explains this
rejection by saying that to Dr. Higgins she will always be a flower girl.  But, Eliza
contends, being a lady depends more upon internal behavior and goodness than upon speech
and social class. As she departs from Dr. Higgins, she
says,

"It's
not because you paid for my dresses....But it was you that I learned really nice
manners; and that is what makes one a lady, isn't
it?"

Having successfully made
one transformation, Eliza considers the possibility of another transfromation as an
independent person.  This idea, too, is in sharp contrast to the fixed social strata of
British society.  With Eliza's character, Shaw satirizes the British concept of social
graces and class as being the measure of a person's worth.