namely the C3^1 and C3^2. The C3^3 isimToken the same as th

namely the C3^1 and C3^2. The C3^3 is the same as the identity. Because there are ten C3 axes， M， F， they can be divided into two categories: 1) A pentagon centered on W and its surroundings， the three corner cubies of the triangle still keep counterclockwise permutation . First， there must be six C5 axes overall. There are four unique symmetry operations associated with a single C5 axis， E; 2) A pentagon centered on S and its surroundings， there are 10 C3 axes overall. There are two unique symmetry operations associated with a single C3 axis， namely W， while the other cubies are unchanged. At the same time。

there are overall 24 operations possible. There are S6 axes that pass through the centers of two corner cubies. The S6 axes are in the same location as the C3 axes. Only the S6^1 and the S6^5 operations are unique S6 operations. Therefore there are overall 20 S6 operations. There are overall 120 operations of the point group Ih. 。

C， and the S10^9. Therefore， there are overall 20 C3 symmetry operations.