well the permutations you gave they are in ccl An
its what is written on my lecture notes actually i also don't know much about it but it has the same conj. class with ccl an
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the question is
if n is odd then there are exactly two conjugacy classes of n cycles in An each of which contains (n-1)!/2 elements.
also there is a hint says let An act on itself
i know the fact that since An...