Question: Please utilize the Group L as defined in the Cayley Table of 24 elements attached with the problem. For this question, you will need to

Please utilize the Group L as defined in the Cayley Table of 24 elements attached with the problem.

For this question, you will need to use the Cayley Table of 24 elements for Group "L\". a. State the inverse element of a7c b. List the elements in (0156) c. List the elements in CL (ac) d. List the elements in Z(L) e. What are the possible orders of subgroups of L and why? f. Find a cyclic subgroup of order 6. List all of its generators. \f

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