Group work and grading

When it comes to group work, do we grade the group as a whole or individually. When having group projects I provide a rubric that breaks up the project into however many people there are in the group. IE/ if there are 4 group members, the rubric will be broken in 4 parts. One for each student.

I will also have the students of the group grade each other. As the grades come in I average them together to give me the individual score.