Sunday, 13 July 2014

group theory - Exist an easy way to find a homomorphism from $mathbb{Z}_3$ to $operatorname{Aut}(K_4 times mathbb{Z}_2)$?

$\operatorname{Aut}(K_4 \times \mathbb{Z}_2)$ is isomorphic to group of order 168.



I don't know how to start to find an element of $\operatorname{Aut}(K_4 \times \mathbb{Z}_2)$ such that his order divides $3$ (non-trivial).



I appreciate your help.

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