Hi Pr@veen,
My guess is you want to author/edit the community group page?
1) I recommend switching to the new touch-optimized UI (until you change your preference, one quick/simple way is to replace 'cf#' with 'editor.html' in the URL). You'll then see that the page is part of a blueprint and you need to cancel inheritance before changing settings for a component of the page, and then re-connect inheritance afterwards.
2) If you want to edit the group page, you need to open the new community group page first by selecting the 'emitra group' link (while in preview mode in TO-UI).
3) When you create a new community group using the Group Function, all permissions are setup for you by creating a user group specific to the community group. The permissions are set on the user group so that any members added to the user group automatically have the necessary permissions. Further, when you created the site, there was a setting for Group Administrator so that you could add members to the 'Community <sitename> Groupadministrators' group who have the permission to create new community groups from the publish environment.
4) It is important that you have the Tunnel Service enabled.
Maybe there is something in this demonstration video that would help :
Creating online Communities with AEM 6.1, an AEM Developer Support Gem recorded 7/22/2015
If I'm not answering your question, then you'll need to be more specific.
- JK
