Permutations on five objects. Two interlinked triangles. What group is generated by "l" and "r"?

Two rotation cycles: Click on the "radio buttons" as described below

l (left counterclockwise)   A---->B---->C---->A

L = l-1 = l2(left clockwise)   A---->C---->B---->A

r (right counterclockwise)   C---->E---->D---->C

R = r-1 = r2 (right clockwise)   C---->D---->E---->C

A D
l     L C r     R
                       
B E

       
List of rotations:

Michael Zuker
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
Spring 2008