Supported USB-C Alternate Modes on MacBook Pro (15" 2016 and later)
According to EveryMac,  the model numbers of your specific CPU are i7-6700HQ, i7-6820HQ, or i7-6920HQ, which all have Intel HD Graphics 530. The specs list the resolutions that you can expect to find with DisplayPort and HDMI.
However, in reality you can possibly do better. For example, there are active USB C to HDMI 2.0 cables which allow 4k@60Hz on 2016 MacBook Pros, when the alternate mode was only HDMI 1.4, or 4k@30Hz.
Note that depending on your model you may also have an AMD Radeon Pro 450, 455, or 460 GPU. To find out, in the terminal, the following commands may be helpful.
For model and CPU system_profiler SPHardwareDataType
For GPU system_profiler SPDisplaysDataType
You could also save all of the system profiler information to a plain text file, and go through that with a text editor. Note that it can take a few minutes, and the file could be 5MB. system_profiler &gt; output.txt
Finally, before choosing a monitor, cable or adapter it can be very useful to search through the reviews and customer questions for your model. That's the only way that I found out a 2016 MacBook Pro can output full resolution and refresh rates to HDMI 2.0 monitors.