SignIn into Graph Explorer to get Contact folder details, here is the graph explorer URL: https://developer.microsoft.com/en-us/graph/graph-explorer
Get UserID
https://graph.microsoft.com/v1.0/me/
Get Contact Folders based on UserID
https://graph.microsoft.com/v1.0/users/xxxxxxxx-xxxx-xxxx-xxxx-xxxxxxxxxxxx/contactFolders
Get Child Folders based on Folder ID
https://graph.microsoft.com/v1.0/users/xxxxxxxx-xxxx-xxxx-xxxx-xxxxxxxxxxxx/contactFolders/folderid/childFolders
Get Group ID
https://graph.microsoft.com/v1.0/groups/