orright. I see your switch is wired to a plug, so pull it out and we will probe the switch.
if I'm seeing your photos correctly, you have orange as one common and black as another common. set your meter to ohms, wind the switch shaft all the way, let's say, anticlockwise, put one probe to the orange pin in the plug, and then probe the other plug-pins to find what other colour is connecting. write down that colour.
step the switch one position clockwise, probe the pins again and find what colour is now connecting to the orange. write down the colour, step the switch, probe, write, step, probe, write. if the meter doesn't show low, low low ohms at some pin each time, write down O/C instead.
then move your stayput probe to the black wires pin [if that's your other common connection colour] and probe to find what is connecting. write down that colour [or the dreaded N/C] and step the switch. etc etc etc.
then tell us the results, please.