Rotation of coordinate axes

c299792458

1. The problem statement, all variables and given/known data
This is a general problem: How does one go about investigating the effects of rotating coordinate axes regarding tensors?
For example, what does a 2-fold symmetry about all 3 orthogonal axes translate to in tensors and suffix notation?
Thanks


2. Relevant equations
n/a


3. The attempt at a solution
This is a general question.