Sp(4,2) is isomorphic to S6

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This article gives a proof/explanation of the equivalence of multiple definitions for the term symmetric group:S6
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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.

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