Are there algorithms for splitting rectangles into groups like javax.swing.GroupLayout?

Question

Algorithms

There is a following task: there is a plane on which rectangles are located. You need to break all these rectangles into hierarchically nested groups (like the groups used by javax.swing.GroupLayout, i.e. separately for the horizontal direction, separately for the vertical direction). I've looked in the direction of hierarchical classification algorithms, but that doesn't seem to be the right thing to do. Tell me if there are algorithms suitable for solving such a problem, or if there are already solutions that you can see.