Beat me to it Phillpower2.
So this is the info I have gathered.
At the moment Newegg is down so can't see the GPU.
You would have a lot of problems installing a add on GPU in this computer and the benefits would be marginal over the integrated chip.
The case is very small, can only install a low profile card. "Due to the small computer size, you can only install a small, low-profile
The PSU is only 160 watts, this will severely limit the GPU choice, unless you do an upgrade. " HP recommends that you install a card with power consumption of 25 watts or less."
Source, > http://h10032.www1.h...l/c00877796.pdf
The Product, > http://h10025.www1.h...c=en&lc=en#N851
The Motherboard, > http://h10025.www1.h...en&cc=uk&dlc=en
As I get a different PSU wattage, please open the case to see exactly what you have, then we can see what card is available.
What is your budget?