PGammaL(2,4) is isomorphic to S5

Statement
The projective semilinear group of  degree two over field:F4 (the field of four elements) is isomorphic to symmetric group:S5.

In symbols:

$$P\Gamma L(2,4) \cong S_5$$.

Similar facts

 * PGL(2,5) is isomorphic to S5
 * PSL(2,5) is isomorphic to A5
 * PGL(2,4) is isomorphic to A5
 * PGL(2,3) is isomorphic to S4
 * PSL(2,3) is isomorphic to A4

Facts used

 * 1) uses::Equivalence of definitions of size of projective space
 * 2) uses::Order formulas for linear groups of degree two