Hello and welcome to my world. 11 yr DD going on 21 ! My DD acts very similar to yours, too much lip sometimes ! Filthy looks, stropping off upstairs. She has an answer for everything. She's gone from being the sweetest girl to the devil incarnate sometimes
DD sees her dad every 3 weeks or so. I am married and she gets on very well with her Step Dad. Her dad is also married, has 1.5 kids (one due soon) So there is possibily an element of her feeling a little pushed out there. She is the most well behaved young lady for her Dad and a little madam for us. DD and I were always very close, especially as were we on our own for a good few years.
I honestly thinks its just "that age". They are kind of inbetween aren't they, not really little kids, but not teenagers yet. Hormones are kicking in (and then some). She's testing her boundaries again, and we of course we born old and could not possibly understand how they feel. Girls are also becoming more concerned with their looks at this age and compare themselves to everyone. I also think the transition to secondary is difficult for most kids in one way or another
Personally I would be very happy that she has a couple of good friends. I think we all assume our kids need this huge group around them, when actually they just need a couple of mates really. I went through all of High School knowing lots of people but actually only had 2 best mates. I say it shows a strength of character that she does not feel she has to be part of the "group". But if she is feeling left out then I think the clubs idea is a good one, find something she enjoys doing, although drama is especially good for bringing kids out of their shells.
In the morning I consider myself lucky if my DD tells me she's leaving, let alone says goodbye - she's normally out the door so fast I don't realise she's gone (I have to do the same 200 yd walk to my bus as she does to school.............at exactly he same time........... but god forbid she is seen with me - life would just end for her LOL.
But on a serious note - it is really upsetting for me sometimes as well, we were always really close. But now I try to remember what I felt at that age and am sure I was not much different. And when she tells me she hates me, I tell her I love her............. totally throws her !