Contact Groups & Synch

I created a new Contact Group on Google -email -contacts. This group does not appear on my phone after syncing.

A related problem is that  I want to make a new group directly on my phone. There are existing groups (Friends etc). If you open a group and then go to "ADD" , the phone only shows you contacts in these groups but not those in the Group "Google" (where all my contacts are). Which means you can'y just mark the ones you want in Group Google for adding to the new group.

So either way I cannot create the Group I want on the phone. 


Any ideas?