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Aug 23, 2013 at 4:24 comment added Jorinde @R W: Could you give some explanation, how your answer applies if $H$ is normal?
Aug 22, 2013 at 7:02 comment added Jorinde I don't understand your answer. Do you agree that, if H is a normal subgroup, then a transitive action on the quotient group exists (left multiplication), and this action commutes with right-multiplication? (Unfortunately, my background on graphs is very limited.)
Aug 22, 2013 at 6:33 history answered R W CC BY-SA 3.0