Prove that every group of order 330 is not simple.
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Prove that every group of order 330 is not simple.
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- Let be a group of order , where and are distinct prime integers. If has only one subgroup of order and only one subgroup of order , prove that is cyclic.Prove that if r and s are relatively prime positive integers, then any cyclic group of order rs is the direct sum of a cyclic group of order r and a cyclic group of order s.Label each of the following statements as either true or false. Any group of order 4 must be cyclic.