Sp(4,2) is isomorphic to S6

This article gives a proof/explanation of the equivalence of multiple definitions for the term symmetric group:S6
View a complete list of pages giving proofs of equivalence of definitions

Statement

The symplectic group of degree four over field:F2, denoted $Sp(4,2)$ is isomorphic to symmetric group:S6.

Note that we already have that $Sp(4,2)\cong PSp(4,2)$, where the latter is the projective symplectic group of degree four. Thus, this establishes also that $PSp(4,2)\cong S_{6}$.

Related facts

Opposite facts

• PGL(2,9) is not isomorphic to S6