You will need the Limited Read People permission to see this information.
Navigate to the person's profile and click on the "Involvement" tab. Then select the "Groups" subtab.
All groups the person is currently a member of will appear in a table with such columns:
Group
Type
Category
Member Type
Positions
Start Date
Other columns that can be included are
ID
End Date
Date Last Attended
Notes
You can use the "Start Date" field to filter the groups based on which groups the person was a member of on that specific date.
You can click on an individual group to look for information relating to that group.
The fields that appear under a group are all the custom fields defined on a group membership profile (if any).
The following actions are available.
You must have the Write Full Groups permission to perform these actions.
Edit - edits information related to the person's membership within the group.
Remove - completely removes this person from the group. If you would rather drop them and keep history, edit the record instead and add a drop date.