Yes there is it is called pediaphobia. That is hatred of infants and young children. When you get to the teen years it is called Ephebiphobia or the fear of youth.
Actually, pediaphobia is the "fear of children," not the hatred of them. Misopedia is the term you're looking for.
Antisemitism
The word that means hatred of children is "misopedia."
Misogyny.
ideological intolerance
Anti-Semitism.
Anti-establishment is one word for hatred of authority especially when it pertains to government.
loathing, detestation, hatred, contempt.
Antisemitism.
Antisemitism
Anti-Semitism.
Misopedia is hatred of children , usually teens and kids.
Divorce. Misogamy - hatred of marriage.