Any user in Google Workspace can create and administer their own groups.  You don't have to be a Google Workspace administrator.

Creating and Administering a Group

1. Sign in to Google Groups.
2. At the top, click Create group.
3. Enter group info
   
   Please select a group name that is related to the purpose and membership of the group. Don't select a name that is overly general, like "leaders@place.com".  Nobody will know which leaders that applies to!
   
   Take time to describe the group for other workspace users so they will know what the group is for!
   
   
   
   Click Next when you're done...
   
   
4. Privacy Settings
   
   Here is where you set up group permissions. Please leave all the settings at their defaults except for Who can post.  
   * If your group is only used for communication within the group only, then leave it set on Group members
   * If your group is used for communication within the organization, then set it to Entire organization
   * If your group is going to receive communication from outside, then set it to Anyone on the web
   
   
   Click Next
   
   
5. Add members.  Leave this as-is.  You are the owner of the group, so you will be able to administer the group and add members once it is set up.  Click Next
6. Click Finish and then Go to group
7. In the left menu, click Group settings
8. Scroll down until you see Allow external members. If you plan to add members from outside of the organization, select ON.
   
   
   
   
9. Now you are ready to add members to your group!
10. In the left menu, click Members (under People).  You will see your account as the Owner.  Group Owners and Managers can administer the group.  Group Members can participate in conversations, etc. but can't administer the group.
11. Click the Add members button.  You can add users or groups as members.  If you like, you can add a descriptive welcome message too.  The members will see that message if they go to their groups.
    
    
    
    
12. If you want to add others to help with group administration, add them as Owners or Managers
13. Happy grouping!

FAQ's

Question:  Where can I go to get more details on groups and administration?

Click here for a helpful resource about Google Groups.

Question:  I just want members to receive notifications.  How do I keep the group members from posting messages to the group?

This is a common scenario.  For example, a group is set up to send weekly updates, but you don't want people to post back to the group and have it become an open forum.

Click on Group settings and set Who can post to Group managers.  Owners and managers can send mail to the group and every member will receive the mail in the inbox connected to their member account.  However, if a member tries to reply, it will not be permitted.

Question:  Can I unsubscribe from receiving messages sent to the group but still be able to administer the group? 

Yes!  Go to Members and you'll see a Subscription drop list for each member.  You can select how you receive emails.