Projective general linear group:PGL(2,7)

Definition
This group is defined in the following equivalent ways:


 * 1) It is the member of family::projective general linear group of degree two over the field of seven elements, i.e., the group $$PGL(2,7)$$.
 * 2) It is the automorphism group of projective special linear group:PSL(3,2) which in turn is isomorphic to $$PSL(2,7)$$ $$PGL(3,2)$$, $$SL(3,2)$$, and $$GL(3,2)$$.
 * 3) It is the member of family::outer linear group $$OL(3,2)$$.

Other definitions
The group can be defined using GAP's ProjectiveGeneralLinearGroup function:

PGL(2,7)

It can also be defined using the AutomorphismGroup function on $$PSL(3,2)$$:

AutomorphismGroup(PSL(3,2))