On iPad, how to organize Shows in a native Video player app

Question

On a computer, in iTunes I add a number of video files that I group by marking them as TV Shows. The shows, in turn, have files grouped into seasons.

When I transfer files to an iPad, I only see the Season number in the native Video app. It would be logical to at least show a show name and a season number. So if I add two different shows to an iPad, and both of them have season 1, the in Video app on the device I get two Season 1 enters on the initial screen. I can only see the name of the show if I select one of these "season 1" entries.

So my question is: is there a way for me to group files in ipda, so that I get a name of the group displayed? It doesnt necceseraly has to be shows, as long as there is grouping.