I've signed up just to let others know what I found. I have HP Mini 110 and by accident I found that it's internal wifi card is perfect for pentesting. The exact model # is HP Mini 110-3700ca. As far as I know the internal wifi card is Realtec 8188ce, in Kali Linux it uses driver rtl8192ce and works great out of the box. As I've said I found out this by accident: I've been playing with different wireless adapters on my HP Mini and eventually run Wifite with no adapter attached. I was really surprised to find out that both monitor mode and packet injection work perfectly, and what's even more surprising - they work pretty much on par with USB wifi adapters like Alfa AWUS036H and AWUS036NHA. Everything my other adapters can do, this one can do as well, and works out of the box, no setup required. I'm not sure all HP Mini 110 use this wireless card, but at least now you know that all cards based on this chip (8188ce) should work well out of the box on pentesting Linux.
