Hahah no worries! Damn, that sounds pretty insane...
Honestly the fact that they had no invoices is really suspicious in the first place, which makes me wonder if they're just trying to fleece you and the other members. Going rogue and buying all these stuff that costs so much and then expecting you all to pay for it without significant proof is really quite ridiculous. When it comes to having a bad reputation, I think they have to worry about that more. I honestly think that you should stand your ground and maybe to make it fairer, find out what's the average price most groups pay (the one they managed to spend 2.5x of) and split that cost only. Because honestly that was at least part of the plan that was discussed. Maybe other things you might wanna consider are the relationships with these group members prior to this project, reasoning behind going rogue and their attitudes towards this whole fiasco? If they're genuinely remorseful and had good explanations for everything maybe you guys can work out a way to pay for everything while pleasing all parties. At the end of the day, you can always mark them really low in peer evaluation if you feel it's unfair, although it's a small way to affect their grades, it still makes me a bit better haha.
Hope this helps and you manage to resolve this :)
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