Dear Sam,
We haven't received any reports about the issue currently in Microsoft 365.
We did a quick test and it seems that I can't reproduce the issue at our side as well.

It seems that the feature worked previously in your environment. I think that it may be an issue in your tenant.
I'm afraid that our category may have limited resources on helping you fix the issue and it needs to be fixed by our related team directly.
If you aren't the administrator, I suggest you contact the administrator in your company and let him follow the steps in Get support - Microsoft 365 admin | Microsoft Learn to open a support ticket to our related team as soon as possible.
About admin roles in the Microsoft 365 admin center - Microsoft 365 admin | Microsoft Learn
How do I find my Microsoft 365 admin? - Microsoft Support
The administrator should be able to open the support ticket from Help & support in the Microsoft 365 admin center.
Then you can select the Phone support or the Email support as follows.

To simplify the process, I'd like to summarize the issue as follows.
Issue Symptom:
===============
No groups are showed on the page https://myaccount.microsoft.com/groups in Microsoft 365.
Issue Environment:
=================
Microsoft 365
Can we reproduce the issue currently?
=================
No
Next Step:
==================
Open a support ticket to our related team to fix the issue.
Thanks for your effort and hope that the issue can be soon fixed by our related team.
Sincerely
Cliff | Microsoft Community Moderato