Is there a way to show chatter group

You can post to that model. 
You will want to filter the feed item list by “parent ID”  - which is a polymorphic field allowing about 90 object types.  You will only want to allow selection of the “Group” object.  Here is a post with some code showing you how to do that: 
https://community.skuid.com/t/can-i-limit-which-objects-are-possible-targets-of-polymo…

Let us know how things go?  Maybe post some XML as an example if you feel it is successful!