Different Content Types for Different Groups

I have several groups in my Drupal Commons installation (for a big music site.) Some groups are meant for sharing audio, some for video, one is just to get suggestions and feedback on the site.

Is there a way I can have some groups allow members to publish everything (posts, video, soundcloud, polls, photos, etc.), while others would restrict by content type.

Ex:

GROUP 1: Rock and Rollers
Members could publish anything

GROUP 2: My new music
Members could publish Video, Audio and Soundcloud

GROUP 3: New Feature Discussion
Members could publish Posts, Polls

Thanks!