Login as a Non admin account. Create a group, Title and description. Save. If I navigate to Dashboard or Profile page (Where the Groups Plugin is used) The Groups box/Plugin does not even appear. If I navigate to the Groups drop down menu and select, then select My Groups, they show up there. Group setting for this is account is set so everyone can see.
Login as Admin, and navigate to Non-admin Profile page and I can see the Group Plugin and three groups listed. (3 per settings)