gistfile1.txt

           I--J--K--L
         /      /
     F--G--H   /
   /          /
A--B         /
 \          /
   C--D---E

I want to rebase branch "L" on branch "H", ideally having something like this :

              I--J--K--L
            /      /
     F--G--H      /
   /             /
A--B            /
 \             /
   C--D-------E

But when I "simply" git rebase H, I have the following applied :
              C--D--E--I--J--L
            /      
     F--G--H      
   /             
A--B            
 \             
   C--D-------E

Thus, everything on branch E were applied before branch L, and I lost the commit K denoting I merged E on L before rebasing.

Would you know a rebase option allowing to rebase the L branch onto the H branch without losing the merges ?

FYI, I created a project settings things on initial state, it is available here : https://github.com/fcamblor/rebasing-merged-branches
On this git repo :
- master = branch "B"
- branch1 = branch "E"
- branch2 = branch "H"
- branch2.1 = branch "L"

2 pictures demonstrating the initial state of the repo are available here :
http://imageshack.us/photo/my-images/204/capture20130104at14001p.png/ (Initial state)
http://imageshack.us/photo/my-images/189/capture20130104at14044p.png/ (State after rebase)