French higher education institutions work in very different ways from the standard US model; two relevant caracteristics are: a) good institutions for education and for research might not be the same at all and b) institutions work in a much more networked ways, so many labs will be joint ventures between like 5 universities/schools and 3 national research centres, students might get three degrees with each of them being a joint program between several schools.
So it's hard to have a good grasp.