Quex's

Summary
Quex's is a public house and assignation house for men and women of a "certain persuasion" to meet and enjoy each other's company. It consists of a large common room for singing and drinking - mostly drinking. Upstairs are a series of private rooms that can be rented by the hour or for the night.

Quex's features in all books in the Society of Gentlemen series.

It is run by Jon Shakespeare and Will Quex.

Real or fictional?
While Quex itself isn't a historical location, there certainly existed places like it. Sometimes referred to as molly houses, they offered sanctuary to men and women who didn't conform to conventions.