Only goes out with her friends? Text problem

[Ergon]

So I met this German girl yesterday. Several people that work at the same company met at a karaoke bar. My father works there, and a knew a few people from there also.
One of the intern girls brought her other intern friends.

I sat beside the prettiest one, and though at first I we didn't talk much, cause her English wasn't that good, we started conversing more and more. I added some touch here and there. And she invested asking question at times, and even showed me something in her cellphone. Then I suggested we meet up sometime over the week, and she gave me her number. After that we talk about something else a little bit, but then stopped talking and I engaged in conversation with other people until I left the bar, before her.

Later today I sent her an Icebreaker:

Me: Hey, [name] from [her city], it was great meeting you - Ergon
Her: Hey
Her: Yeah was great to meet you
Me: Karaoke wasn't bad, maybe someday I actually sing…
Her: Yeah was funny evening!
Her: Oh really? Then I'm curious about that haha
Me: I'd like to try something artistic
Me: So I mentioned we could meet up sometime -what's your schedule looking for coffee/tea this week?
Her: Yes, we don't have many plans for next week yet.
But I can add you to our group chat, X and Y are also in this group and there we always make plans
Her: Cause we mostly do things and make plans all together

I don't know what to even reply here. She's brushing the invitation off, but still want to be friends? Is there any way to frame it around?
Any input is appreciated.

 

[Ergon]

Update.

I replied:

I'm pretty bad with groups.. If you're interested though, you can bring one friend and grab those drink and chat. Let me know

then she sent me:

Come on! Yesterday it was a group too and you were there. They're all so nice and we're not so many. I thought you want to see sth of the city It's always fun! We'll go to a festival tomorrow at X! I'm sure it'll be lots of fun!

Another unexpected text. She seems pretty eager to be my friend, but that definitely wasn't my purpose. What do you guys think? any advice?

 

[WayOfHand]

I think your first interaction with her was more on the "social" side of things than "man to woman". At least this is what she seems to think.

If you want you could go out with them and have fun. She probably has some hot friends that you might hit on and her seeing you doing well with them might get her a bit wet too. What is there to lose?

 

[Ergon]

WOH

Thank you, I'm opening up to the idea. I declined the invitation, but will invite her to do something in group on the weekend.

I've never been good with groups of people, but it's time I change that.