Question: Please use the included Cayley table to answer the problem. The questions below all deal with a subset of L: H = {9, a3, a6,

Please use the included Cayley table to answer the problem.

The questions below all deal with a subset of L: H = {9, a3, a6, a9, C, (136, 166, (1%}. a. Is H a subgroup of L? Why or why not? b. Is H abelian? c. List the distinct left cosets of H. d. List the distinct right cosets of H. e. Is H a normal subgroup of L? Why or why not? \f

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