The most evident parameter that one must consider is the operating supply range of the multiplexer. During nominal operation, the expected signals propagating through the multiplexer can usually be fairly low. However, if there exists common mode voltages that can potentially be upwards of ±36 V in some cases, then a higher voltage capable multiplexer would be needed to be able to survive and operate in these instances. While it may seem that this would necessitate a higher supply voltage, which certainly can be the remedy, there is a way to still utilize a lower supply rail while being able to survive an event where a high common mode voltage is present. Below illustrates how external diodes and current limiting resistors (typically in the 1k to 10k range) can be implemented to suppress damage to the multiplexer while allowing time for the fault to subside and resume nominal operation:

Lastly, if there still needs to be operation during a high common mode voltage event and there is no access to high supplies in the system, beyond the supply multiplexers can be used instead which offer low voltage supply rails, but can pass and tolerate voltages on the multiplexer inputs beyond those supply rails.