How to do this - Organic Groups connecting to each other

I am trying to create groups of common interest for my site using OG and want members communicating within a group (which OG alredy does) and also one group communicating (or sharing data) with other group. More like Connections concept in linked in. There it is between users but here I would like to have one OG getting linked with another. One group sending a request to another to include it in its network and the othe group acepting it. Once connected they can share data or schedule events (like meeting) with each other. Any events shared can be moderated by both the groups.

Can someone help me on how this can be accomplished.