Shared address book

I want to find out how shared address books work.

I have my list of contacts.

I want to share a defined group that I created with another user.

Can I share a subset of my entire list of contacts with another?

When I go to share, it seems to be my whole list of addresses.

I did notice that I can share with a user or a group.

I tried typing in a group name, and it only allowed me to select 1 of my 9 groups.