They are called double pole single throw switches. DPST for short. The poles are how many separate isolated switches there are, and the throws are how many positions you can set the switches to. Thus, you can get
3P4T switches which contain three separate switches, all controlled by the same movement, which can each be set to one of 4 possible connections.You may only be able to get double pole double throw (DPDT) switches, but they will work too.