Public school
First, an historical note. Up to and including the 19th century girls from "good families" were educated at home by governesses and tutors. This applies very widely across the world, not just in England. The other controversial issue is whether girls should be educated with boys or not. Here the United States is one extreme and Muslim countries the other extreme. Even in England, co-education is almost universal at primary level, but is not common at secondary level, except in the state education sector.