$X=\{1,2,3,4,5\}$
$\sigma:X\to X$
$\sigma^{12} = I\;$ and $\;\sigma(x)\ne x$
How many functions satisfy the above condition?
2026-03-28 14:25:55.1774707955
Number of permutations $\sigma\in S_5$ such that $\sigma^{12}={\rm id}$?
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