# What does the order of a class mean in a character table?

I am not from a chemistry background. I am trying to see how the symmetry operations affect the stiffness tensor which led me in the path of understanding character tables. I am looking at the character table for C6v group and I cannot understand what the factor 2 for C6(z) means. Is it representative of the fact that I can rotate in clockwise and anticlockwise direction?

Please let me know if you need any further information.

• Yes.$\mathstrut$ Oct 18, 2020 at 6:39
• Shouldn't C2(z) also have a factor of 2 then? Oct 18, 2020 at 6:45
• No, because rotating for $180^\circ$ clockwise and anticlockwise is the same thing. Oct 18, 2020 at 7:17
• This answer might help in general chemistry.stackexchange.com/questions/58609/… Oct 18, 2020 at 8:19
• @IvanNeretin That makes sense. Thank you Oct 18, 2020 at 8:31