I think the fact that this forum has gone to 15 pages somewhat supports the comments I was making earlier. I have calmed down and buckled down now and I will be sending in an entry, but with great expectations of a "fail"
My methodology eventually was
1. Write in all NORMAL solutions (group 1) with the grid in the usual orientation (title at top)
2. Turn the grid upside down and write in the ROTATIONS (group 4)
3. Turn the grid the right way up and set a mirror along the top (or bottom) edge and write in NS flips (group 2)
4. Keeping the grid the right way up, set a mirror to the left (or right) of the grid and write in the EW flips (group group 3)
5. Print off another blank grid to fair copy my grid AGAIN in order to clarify letters which didn't work because my mirror writing aint much cop.
6. TO DOUBLE CHECK Prepare a set of letters by writing out the alphabet in heavy duty felt tipped pen so that the letters leeched through onto the back and then physically carry out the flipping and rotationg on each letter of each word in the 4 groups.
7. Amend my letter Us, Ys and Ks, because the symmetry idea doesn't work if you write those letters in a certain way.
I'll get my coat.