Step: 128

The reference axis of the benzene is C₆ , because for it first of the criteria indicated in step 124 applies that this axis possesses the highest tenacity. Since the molecule is neither linear nor cubic, we are, like also with the NH₃ , in the part of the algorithm, where it between S _2n , which C and D- point groups apply to decide.

2. Further symmetry elements:
According to the algorithm the following questions result: Is S ₁₂ kolinear to C₆ ? No.
Are six C₂ perpendicular in one level to the reference axis? Yes.
Is s_h available to the reference axis? Yes.
Check these questions conscientiously!

Thus the group of points of the benzene results too...?