What is the difference between a Catholic school and a Private school?

-I heard someone say that Private is paid for and Catholic is paid by the gov.All Catholic schools are private schools, but not all private schools are Catholic schools. Neither one is paid by the government.That was an idiot. Public school is paid by the gov. Catholic school and all other private schools are paid for, at least in part by private funds like parents paying tuition. Catholic schools are private schools run by...wait for it...Catholics.
Homosexuals get shot at Catholic schools.