Yes, it is on the right connection but nothing happens but in the connection of my xbox it looks a bit strange.
Insurmountable aversion.
That can have many possibilities.
The HDMI connector on the console could be broken, as well as the TV. The cable is also a possible source of error.
If you have multiple HDMIs on your TV, try them all out. Otherwise, another cable and if possible on another TV test.
If all this brings no result, I type, as already mentioned by you on a defect in the console.