A multifunction switch device with a display function is provided, which displays a function of a switch presently selected on a switch operating section and simultaneously displays a next selectable function. \u201d An outer core layer is disposed about the inner core, the outer core being formed from a thermoset rubber composition and having a surface hardness less than a hardness at a point about 0. The crosslinkable tape is crosslinked to obtain a field grading layer.