Step: 119

C ₃ produces C₃,C₃², C₃³ = E
S₆ produces S₆ , S₆ ² = C₃ , S₆ ³ = i, S₆ ⁴ = C₃ ² , S₆ ⁵ , S₆ ⁶ = E
C₂ produces C₂ , C₂ ² = E, for C₂ ⁽¹⁾ , C₂ ⁽²⁾ ,C₂ ⁽³⁾
s _d produces s _d , s _d ² = E for s _d ⁽¹⁾ , s _d ⁽²⁾ , s _d ⁽³⁾
i produces i, i ² = E

There are thus 12 different symmetry operations:

E, C ₃ , C ₃ ² , S ₆ , S ₆ ⁵ , i, C ₂ ⁽¹⁾ , C ₂ ⁽²⁾ ,C ₂ ⁽³⁾ , s _d ⁽¹⁾ , s _d ⁽²⁾ , s _d ⁽³⁾

Out these 12 operations D_3d is called this point group of symmetry.
The symmetry operations of the group of D_nd become general from the symmetry elements C _n , S _2n , C ₂ (n times) and s _d (n times) produces.

Continue to training step 120 !