First, make sure you have Advanced Features checked under the View menu. Then, open up the distribution group’s properties, and go to the Attribute Editor tab.
And here is the list of attributes you can update to meet your needs.
authOrig – only these users can send to the distribution group
unauthOrig – anyone but these users can send to the distribution group
dLMemRejctPerms – anyone but members of these distribution groups can send to this distribution group
dLmemSubmitPerms – no one but members of these distribution groups can send to this distribution group