Site Admins can only assign Job Admins permissions that they have on their own account.
If a Job Admin level includes one or more permissions the Site Admin does not have, the Site Admin will not see that Job Admin level available when assigning job-based permissions to Job Admin users.
Example: A Site Admin can only assign another user to the Job Admin level Can view and edit private candidate and application fields if their account also has that permission stripe.
To learn how to check your own user permissions, click here.