Groups on the free Count.It BASIC plan automatically only report points for Steps and Cycling.
PRO Group Admin have the option to turn on any or all of the supported activities shown below:
Group admins can choose which activities to activate for their group via their PRO Admin > Group Profile page. All users can see what their group is currently tracking in the left hand navigation of the group homepage:
See here for more details on how Count.It Points work, Workbreaks and Bonus Points.