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let the G group of order 12. show that G has normal subgroup of order 3 or 4.

by showing G is not basic group, G has normal groups besides e and G. I know it is simple but I dont know what to do next..

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up vote 3 down vote accepted

Apply the Sylow Theorems and try to argue that $n_2=1$ or $n_3=1$.

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