What is the irony of miss gates lecture on democracy when compared to her comments at the trial? (from to kill a mockingbird)

When Miss Gates lectures on about democracy during their "Current Events" class, Scout gets very confused because she did not know that her teacher would be able to hate a man because he is different from others, because she overheard Miss Gates at the trial talking to someone else about Tom. At the trial, Miss Gates told Miss Maudie that Tom deserved what he got because blacks are "overthinking themselves, and think that are equal, but they're not." <== Not a real quote.

~Hope I helped!~