Thank you for posting this in Microsoft Q&A.
I understand that you want to include the group names in the token response as claims, instead of relying on MS Graph API calls to retrieve them.
Currently, group names can be retrieved in SAML applications, and the groups can be synchronized from Active Directory via Microsoft Entra Connect.
As of now it is not possible to retrieve the group display name in app registration.
For your reference: Configure group claims for applications by using Microsoft Entra ID
I would like to request that you share your feedback on our feedback channel lhttps://feedback.azure.com/d365community/forum/22920db1-ad25-ec11-b6e6-000d3a4f0789Which would be open for the user community to upvote & comment on. This allows our product teams to effectively prioritize your request against our existing feature backlog and gives insight into the potential impact of implementing the suggested feature.
Hope this helps. Do let us know if you any further queries.
Thanks,
Navya.
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