What is the maximum number of groups (GIDs) a user can belong to when using NFS with AUTH_UNIX / AUTH_SYS on RHEL

Issue

• GIDs of users in more than 16 groups are not recognized properly on NFS.
• I can not change ownership of subdirectory of nfs filesystem, following is the error messages:

$ chown USER:GROUP /nfs-mount-point/file
chown: changing ownership of `/nfs-mount-point/file': Operation not permitted

• User getting "Permission Denied" error while creating a file on NFS share.

# su - testuser1
$ touch example
touch: cannot touch `example`: Permission denied 

• What limits are in place for group settings on NFS ?