Consider the group of permutations of the set $X={1,2,3,4,5,6}$. Compute the following products, where permutations are denoted

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Consider the group of permutations of the set $X=\{1,2,3,4,5,6\}$. Compute the following products, where permutations are denoted using the shortened cycle notation, i.e., omitting one-element cycles, and with the trivial permutation denoted by $E$, the symbol "." represents the group product, and the permutation on the right is the one which acts first:

- $(235)(46) \cdot(14)(265)$,

- $(1635)(24) \cdot(1536)(24)$,

- $(26)(35) \cdot(24536)$,

- $(165)(23) \cdot(13)(26)$,

- $(1326) \cdot(154)$,

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