Key is to Keyboard as Button is to:
Remote
A key is one of the many small pressable parts that together make up a keyboard; the relationship is part to whole (unit to the device made of such units).
In the same way, a button is the pressable unit that makes up a remote, whose entire face is a set of buttons used to give commands.
‘Control’ is the function performed, not an object made of buttons; a screen displays output and is not built from buttons; a cable only carries signals and has no buttons.
So the pair that mirrors key–keyboard is button–remote.
Hence, Remote.
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