5 Let G Z9 X Z12 X Z16 a Find all subgroups of G of order 144 b Let H 3 3 6 the cyclic subgroup of G generated by 3 3 6

Question

5 Let G Z9 X Z12 X Z16 a Find all subgroups of G of order 144 b Let H 3 3 6 the cyclic subgroup of G generated by 3 3 6 Determine G c Determine the order of the element 4 5 2 H in the factor group G H

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