Yes, that's the hdmi, the one with two notched top edges, slightly off center from the white dvi cable. (if you flip the photo over).
At the moment I have a Alienware Aurora R5 desktop connected to a 24" monitor via the DVI connection. I am looking to buy a 28" monitor that comes with only an HDMI connection. My question is where do I connect this to on the back of my PC? I see there is an HDMI socket in the back panel not covered as is mentioned in some Dell setup details? Also it looks like there are 4 HDMI sockets on the NVIDIA GeForce GTX 1070 graphics card? Thanks in advance.  
Aurora R5, HDMI monitor connection