Orders 1 and 2                 Order 4
--------------                 -------

 1  0           0  1           i  0           0  i
 0  1           1  0           0  i           i  0

 1  0           0 -i           i  0           0 -1
 0 -1           i  0           0 -i           1  0

-1  0           0  i          -i  0           0  1
 0  1          -i  0           0  i          -1  0

-1  0           0 -1          -i  0           0 -i
 0 -1          -1  0           0 -i          -i  0