Find as many non-isomorphic self-complementary graphs as possible with up to $7$ vertices. State why there aren't more.
I've checked what a self-complementary graph is and wikipedia is saying: "A self-complementary graph is a graph which is isomorphic to its complement."
So then what is a non-isomorphic self-complementary graph? A graph which is non-isomorphic to its complement?
Here are some I found but I'm not sure if this is correct. All in all, this sounds very confusing, contradicting. Or did I just understand it wrong? How would you find more graphs?
Editing my question for Henning Makholm's answer: