Shared Mailbox to Office 365 Groups
Add a proper Shared Mailbox to Office 365 Groups instead of the "Distribution List".
Or choose if you want a "Distribution List" or a "Sahred Mailbox" for the email associated to the group.
It will be very helpful when the group is a bunch of people that receive emails from clients like firstname.lastname@example.org
Actually, I have to create a Shared Mailbox (email@example.com) and add all the members. Then I have to create a group called SupportTeam (I can't use the same email) and add all members.
So I have to create 2 objects, Distribution List and Group.
I hope I explain correctly what's the general idea.