PSL(2,3) is isomorphic to A4

Statement
The projective special linear group of degree two over field:F3 is isomorphic to alternating group:A4.

Facts used

 * 1) uses::PGL(2,3) is isomorphic to S4
 * 2) $$PSL(2,q)$$ is a subgroup of index two in $$PGL(2,q)$$ for $$q$$ odd (see order formulas for linear groups of degree two)
 * 3) $$A_4$$ is the unique subgroup of index two in $$S_4$$ (see subgroup structure of symmetric group:S4)

Proof
The proof follows directly by combining Facts (1), (2), and (3).