GA(2,2) is isomorphic to S4

Statement
The general affine group of  degree two over field:F2 (the field of two elements) is isomorphic to symmetric group:S4.

Similar facts

 * GA(1,3) is isomorphic to S3
 * PGL(2,2) is isomorphic to S3
 * PGL(2,3) is isomorphic to S4
 * PGL(2,5) is isomorphic to S5

Facts used

 * 1) uses::Order formulas for linear groups of degree two