A.H.
I would try to see if they could figure out WHY she is hitting. It probably isn't b/c Suzy took her juice box or whatever. There is quite often some other source of anger or fear? Maybe she is nervous in school, or scared b/c she doesn't understand something etc.
Also she needs help understanding the idea that these behaviors (hitting etc.) hurt other people and it makes them sad etc. When I had students like this who had a chronic problem with hitting I would ask a question like"Who you like it if so and so hit you?" And they might say "But they took my crayon." meaning they totally don't get it. There is a disconnect that their behaviors directly effect others. I would try to just ask her lots of questions..."Why did you hit?" What did you feel when you wanted to hit? Oh they took your crayon? Oh how did that make you feel? all in super calm words etc. and then well we can use our words and say "That hurts my feelings, or I am frustrated with you or whatever
This is a longer pattern of behavioral change. Obviously she has to and will be punished for hurting others but you've gotta dig a little deeper....good luck!