Hi,
As mentioned, there are two ways to do that :
1- Create 36x6=216 fields (eg. Stop1_Spc1, Stop1_Spc2 ... Stop36_Spc6) and use the new grid-theme to organize them. (you could use Note type questions to show species names atop the grid).
2- Since you have a 1->N relationship between a Study and several Stops, you should use a feature service with a relationship class between two tables (one for the study number, allotment etc... and the other for the Stops) and use the Repeat functionality with a repeat-count set to 36.
Hope this help