Google provider

Hi,
I have set authenticating via google provider. It works without a problem, but I solve the following problem.
We have a 100 @company.com google accounts. I need to set up specific user groups for all google accounts. Groups can only be set after the first login (after the first login, the user is created and you can assign user group).
Is it possible set user group permission set before first login?

Thanks for the tips and help