Your stand-alone table relies on a class extension. In order for the stand-alone table to perform as expected within a GIS service, the class extension must also be registered on the server.
Solution
- Make sure that the appropriate class extension is registered on the server.
- Remove the stand-alone table from your document.
More information
Class extensions allow you to customize geodatabase behavior. In order for tables utilizing class extensions to work as expected within a service, the appropriate class extensions must be available to the server. If these class extensions are not accessible by the server, the specialized behavior, or functionality, will be unavailable from the GIS service.