This is a hint to help you show that you've found all of the different transformations:

Once you think you've found them all, try drawing the upside-down `L' shape on a piece of squared paper, and draw the effects of all of the different transformations on that shape on the same piece of squared paper.
What happens if you apply $R$ or $S$ to one of the shapes now? How does this help you?

If you need some squared paper you can download it here.