Forwarding Mailbox To Distribution Group as a Whole

I am looking to forward a mailbox to an internal distribution group, meaning when the message gets forwarded the Distribution Group shows in theTo: field of the email and the Subject field starts withFW: . When I use the following command the emails are forwarded to each individual mailbox of the Distribution Group.

Set-Mailbox -Identity "<Mailbox_Name>" -ForwardingAddress "<DistributionGroup_Name>" -DeliverToMailboxAndForward $true

Is there another way or parameters I could added that would allow the emails to be forwarded to the group as a whole?

Another strange thing is I get the emails without the FW: in the subject but all the other members of the group receives the email with theFW: but again all the emails are sent to all of us individually.

Thanks for reading,
XK8Geek