I had no permission to read the profile field. ;)

A plugin which hooks in the sidebar from topics would be fine! I just want to see how they managed it :). I searched for 1 hour now, but without pictures it is kind of annoying.. :-/ 

I will give it a shot, but i'm not sure that is exactly what i want.

Me again! I coudn't get the plugin to work like i want. But there must be away to change the layout of the groups. I hope someone else can give me some feedback or help with this!

In the plugin where you keep your edits, add to start.php

elgg_unextend_view('groups/tool_latest', 'groups/profile/activity_module');
elgg_extend_view('groups/tool_latest', 'groups/profile/activity_module', 1);

This will move group activity to the top of the available modules.

Then add some css,

#groups-tools > li:first-child {
    width: 100%;
}

Now you can adjust the modules below with css.