It looks like the buttons are aranged in a 2 x 4 matrix
View attachment 147526
I think one axis is pins 2 & 6 and the other axis is pins 2,3,4,5.
I think 1 & 6 is the driven axis and 2,3,4,5 is the axis that goes to inputs. (Probably a microcontroller.)
If you look at pins 1 & 6 with an oscilloscope you will finf that theybare being pulsed all the time.
When pin 1 is active the buttons Up, Down, start/Stop and Display function are being read by the microcontroller. When pin 6 is active V1, V2 , V3 are being read. Since the microcontroller is generating the scan pulses it knows the meaning of the 4 inputs for that time slot. You can see from the above diagram how to connect the 7 sets of relay contacts from the remote link.
Les.