What is the main conflict in Chapter 1 of The Outsiders?
The main conflict in Chapter 1 is between Pony and the Socs. You can see this from the very start of the chapter.
Pony comes out of the movie theater and starts walking home. Then the Socs jump him and start threatening to cut his hair off or to do even worse things to him.
So, to me, this is the major conflict in this first chapter.
If you are wondering what kind of a conflict this is, it is pretty clearly a man v. man conflict. It is one in which two people or groups of people are in conflict.