Step: 181

C ₃ ² ( s _v ⁽¹⁾ C ₃ ) = C ₃ ² s _v ⁽²⁾ = s _v ⁽³⁾
(C ₃ ² s _v ⁽¹⁾ ) C ₃ = s _v ⁽²⁾ C ₃ = s _v ⁽³⁾

3. The one element in our quantity is E, the identical symmetry operation. For example applies
E C ₃ = C ₃ E = C ₃
4. To each symmetry operation an inverse belongs. One finds it about, by looking up and from there in the appropriate line completely on the left of the inverse reading off the one element with the given operation in the head in the appropriate column. Turned around one can proceed from the given operation in the left column, which one element of the appropriate line look up and over it, in the head the inverse to read off.
The inverse (C ₃ ) ^l to C ₃ is thus C ₃ ² , because it applies
C ₃ C ₃ ² = E
What are the inverse ones to E, C ₃ ² , s _v ⁽¹⁾ , s _v ⁽²⁾ , s _v ^(3)?

Go now to step 183 !