I've been asked to find all transitive actions up to similarity
of the Dihedral Group of order 8. I'm not sure what exactly this
is asking. I know what a dihedral group is and I know what a
transitive action is but how do you find out what the transitive
actions for the group are? Does it not need a set X to act on?
If so I'm assuming that set would be the set of edges of the
regular polygon but I'm still a bit confused. I don't know where
to go from there. Can anyone help with this?  Thanks for your
help,