I think the Magdalene caning was on the backs of their thighs.
I recall a story of a newly-qualified teacher about 40 years ago who was given instruction in hand strapping by the headteacher before going into the classroom. Firstly he had to put on a boxing glove so the headmaster could demonstrate the proper technique on him. Then they changed over and he had to strap the headmaster.
I laughed when I read this but it was actually quite a sensible thing to do.