Hi,

Inside the route you can check whether user belongs to some group or not. Based on this checking you can perform your operations,

See a sample,

@http.route(['/test/page'], type='http', csrf=False, auth="user", website=True)
def redirect_test_page(self, **kwargs):    
    user_rec = request.env['res.users'].sudo().search([('id', '=', request.session.uid)])    
    if user_rec.has_group('group_external_id'):        
        # write the code if user belongs to group        
        return request.render('template_id')   
    else:        
        # code here if user not in group        
        return request.render('template_id')

Hope this will give you some idea.

Thanks