I want to calculate the conjugation classes of and prove that doesn't have subgroups of order 6. How can i do? Is there any relationship or implication with Lagrange or Cauchy Theorems? Thanks a lot!
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Originally Posted by roporte I want to calculate the conjugation classes of and prove that doesn't have subgroups of order 6. Hint: The conjugacy class equation is . This means we cannot have a subgroup of order six because it is normal and none of the summand combinations can give us six.
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