setting grouped paragraph style with app.findTextPreferences.properties

I am trying to set my app.findTextPreferences using the .properties object...  In particular, I need to set the appliedParagraphStyle property.

So I create an object like this:

{findWhat:"some text", appliedParagraphStyle:"ParagraphStyleX"}

but it does not work because "ParagraphStyleX" is in a Group....  I have tried "GroupX:ParagraphStyleX", "ParagraphStyleX(GroupX)" and everything else I can think of....  but have not been able to get it to work.

Does anyone know the proper form to use?

Thank you,