"Instead of a million count half a dozen." —Walden

"Of all the symmetric groups, S6 is perhaps the most remarkable."
Notes 2 (Autumn 2008), apparently by Robert A. Wilson,
   for Group Theory, MTH714U

For a connection of MTH714U with Walden, see "Window, continued."

For a connection of "Window" with the remarkable S6, see Inscapes.

For some deeper background, see Wilson's "Exceptional Simplicity."