Keywords: Symmetric group 3; Cayley table; GL(2,2).svg Cayley table of the general linear group GL 2 2 which is isomorphic to S<sub>3</sub> The determinant of these six matrices is 1 as there is no other nonzero element in F<sub>2</sub> so this is also the special linear group SL 2 2 own 2011 mate2code Compare 120px 200px 300px Symmetric group S3; Cayley table Composition of Walsh permutations as multiplication of compression matrices Compression matrices of 2-bit Walsh permutations 6×6 matrices 2×2 matrices |