Sorry for my late reply. It didn't work to post the answer.
Core exercises use core muscles(this muscles mantain the stability and balance) . The functional movements use this core muscles,. I searched an article for you to read more about. The Best Core Exercises and Core Workouts
Because you are training only a group of muscle with the exercises you are doing, and the break you had after your fracture, not using many other movements and muscles, in order to protect the site of fracture.
The pain in the groin and medial, can be caused by that fracture,by weak lateral hip rotators, but there are many other areas and sources which can referr pain into the groin . How is the pain now? Getting better or worse and what it aggravates and what eases the pain?
First of all , maybe your physiotherapist already checked if you have any leg length discrepancy, and your posture. Then, not using this muscles, because you were injured and you were protecting the site of injury, that aswell can cause pain.
I just gave you some clues, but of course your orthopedic and physiotherapist, which can see you live and examine you, they can tell you more then me.

Have a good day.