Create Google Docs per group

[cma1]

I would like to set the permission "create new Google Docs, Sheets and Presentations" individually per group. In other words, I would like to define the main group for a user. If a user is a member of two groups, one group is allowed to create new Google Docs, the other one not, the user is automatically not allowed to create either (the group without the right is the main group, not changeable).