How to create and edit a menu (once) in a multisite network ?

Hi,
I'm actually building a multisite network. The goal of this multisite is to showcase different kind of style (theme) and function (membership, support system...) and I have a question about the menu !

I need the same menu on all pages and posts of the network and I'd like to know if there's is way to create and edit the menu once instead of create and edit it in each site of the network. Is that clear for you ?!!

This is how the menu should look like on every page of the network.

. Home (Landing page)
. Style1 (home style 1)
. Site1
. Page 1
. Page 2
.
. Page n
. Style2 (home style 2)
. Site1
. Page 1
. Page 2
.
. Page n
. Style n (home Style n)
. Site1
. Page 1
. Page 2
.
. Page n
. Function 1 (home Function 1)
. Site1
. Page 1
. Page 2
.
. Page n
. Function 2 (home Function 2)
. Site1
. Page 1
. Page 2
.
. Page n
. Function n (home Function n)
. Site1
. Page 1
. Page 2
.
. Page n
. Contact

Thank you.

Laurent.