cant-think-of-a-good-one:

the "i wake up, there is x" meme with the munchkin tabby cat except the arrows and letters form the cayley graph the order 8 dihedral group. the symmetry group for a square.
and instead of the letter "F" being the thing that gets rotated and flipped, its the cat.
there's two oppositely directed cycles of clockwise rotation, brown headed arrows with the letter "a". that arrow spins the cat 90 degrees clockwise. the two cycles are connected with horizontal flipping, dark cyan headed two-directional arrows with the letter "b". this arrow flips the cat.ALT