### Let \( C_{11} \) be the cyclic group of order 11, and consider its group of automorphisms \( \text{Aut}(C_{11}) \). What is the order of the element \( \phi_5 \in \text{Aut}(C_{11}) \)?

The order of an element in a group is the smallest positive integer n such that the element raised to the power of n equals the identity element.

In the case of the cyclic group C11, the identity element is 1.

The automorphism group Aut(C11) consists of all bijective functions from C11 to itself Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.