Rotating an elastic tensor from 100 to 711 axis

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TL;DR
Rotating an elastic tensor from 100 to 711 axis
I have the elastic tensor for a material where C11 aligns with the 100 axis , C22 aligns with the 010 axis and C33 aligns with the 001 axis. I want to rotate it so the the new axis are for a configuration with an axis along 711. How do I come up with the rotation matrix to do this?
 

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