Counting the algs for L5C (in one look, allowing AUF before and after, counting mirrored positions as separate) I get:
- If DFR is in place then the possible LL permutations are solved (8+8+8 orientations), 3-cycle (2 permutations * 27+27+27 orientations), or 2-2-cycle (1 permutation * 15+15+15 orientations).
- If DFR is not in place, assume the piece in DFR gets permuted to UFR (but then no more AUF is possible), so the possible permutations are 3-cycle (3 permutations * 27+27+27 orientations), 2-2-cycle (3 permutations * 27+27+27 orientations), or 5-cycle (6 permutations * 27+27+27 orientations).
So I count 1203 cases. I think this is a bit much to memorize. It would be very very roughly about 300 if you can invert/mirror algs on the fly.