Tetrahedral symmetries
Use the program to record the "representation" of the symmetry group A4 of the tetrahedron by matrices.
For each conjugacy class, give an example of its rotation matrix and record its trace (the sum of the diagonal entries).
identity
(12)(34), (13)(24), (14)(23)
(123), (124), (132), (134), (142), (143), (234), (243)