We have a church group we set up and we always take pictures at activities. We have tons of albums from all the pictures we take but the problem is they don't show up on peoples' timeline even though they are tagged in the picture. Our group is 'open' and we feel like it would be a great way to get the word out for our activities. And share some of the fun activities we are doing with others!
You might also want to try sharing the album within the group to your timeline, or a few of the attendees.
I am sorry to say, but what you are asking for is as such not possible currently in Facebook.
The whole concept of Groups is separate from your profile:
In the same way, your photos in a Facebook Group are separate from your own photos.
The only thing that you can do is to upload multiple copies of the photos, one in the Group and another in your profile, tag separately in both the photos.