It is possible that she has conduct disorder, but before labeling her (a label that may follow her into adulthood and cause problems throughout her school years) let's see if we can't figure out something else.
This is a site that you might be interested in looking at, though I'm not sure it would really apply to her.
Have you spoken with a behaviorist yet?
One of the things that is super important with these kids is consistency.
You can make a chart (though I would suggest leaving off times) that things will be done. For example, Wake up, bathroom/brush teeth, get dressed, breakfast, school. There should be tons of positive reinforcement for each good thing (make a large envelope and every time she does something good you can write it on a paper and stick in in the envelope and at the end of the day or week etc. you can read all the notes with her. (They can be the silliest things -- "daughter woke up nicely this morning" etc).
For dangerous behaviors the consequences should be much more dramatic than for smaller infractions. For example, if she hits or throws you can identify in as few words as possible what she did "you hit x" and then tell her you can't talk to her / be with her or x can't be with her etc until she is ready to keep them safe around her. (This shouldn't be more than five minutes or so). It will take some time, but even by the end of the week you should be seeing some differences.
I will continue reading and thinking about other strategies.
One more - likely MOST important thing - is that you should set her up for success. Give her tasks that she likes to do. Make demands on her minimal (and boy is this hard to do when you have a kid who is acting out so much) and praise even the smallest thing.
Also, always try to give her choices between two things instead of leaving things open ended. "which dress would you like to wear today, the blue or the red" when she chooses one you can praise her on what a great choice she made.
I know there is a lot of information here, and you might need to run through it more than once.
I'll continue thinking and meanwhile please let me know if you have any further questions.