All oaks belong to one of two families. The white oak family or the red oak family (I have seen the red oak family called the black oak family as well.)
Where I live in Missouri the white oaks we have include post oak, burr oak, and white oak. Yes, one of the members is just called white oak, kind of like New York New York. The red oaks include black oak, pin oak, shingle oak, northern and southern red oak, and black jack oak. There are more but those are the main ones.