Well, this character is important in a dynamic of a text. Creon is Jocasta's brother, who shares one-third of Thebes's riches with Oedipus and Jocasta. He is a religious follower of the oracle of Apollo, and when the play opens, he is exactly returning from the prophet with the news that Laius's killer must be found. He is a loyal friend to Oedipus, and he is also a person who can forgive, which is very important. It is mostly visible when Oedipus turns on him and suggests he is conspiring against him.
Creon in the Essays