Creon and Antigone disagreed on the issue of Antigone's brothers' burial ceremony.
Explanation:
Creon, the uncle of Antigone and her brothers, Eteocles and Polyneices wanted to bury Eteocles with honor while prohibited anyone from giving a proper burial to Polyneices because he was against him during the war.
This resolution by Creon met with great resentment by Antigone who wanted to bury both her brothers with honor. The lines 570-77 are about how Haimon is trying to negotiate with his father, Creon, to act rationally and reasonably regarding Antigone's life.