After checking all your computers specifications out on HP`s Site it does support Windows 8.
The Graphics are supported by HP for Win 8 in relations to DX and WDDM.
This computer could run Windows 10 as well even though they do not support Win 10 on their HP Help and Support ( Drivers and Downloads ) page.
Only attempt this if you are a tinkerer as there usually are issue that crop up in relation to finding a appropriate Driver for a particular Chip-set which is integrated with the Motherboard.
Caveats being that the original installed software relate to HP and other software may not be compatible with Win 10.
Graphic Card is compatible with Win 10 64 Bit from the AMD Download and Support Site.
https://www.amd.com/en/support/graphics/amd-radeon-hd/amd-radeon-hd-6000-series/amd-radeon-hd-6570
If a TV Tuner is installed it may no longer be compatible and or function.
The IDT Audio 92HD89E Driver may also be a problem.
With that, ..... one would probably have to run the Win 8 Driver for it if Win 10 does not have a supportive driver in its installation data base.
The same would possibly apply to the Intel H67 Chipset.
The Integrated LAN Realtek RTL8111E does support Win 10.
Hope this helps a little as to information.