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Are all groups of order $156$ solvable?

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    Coming to reconsider what I had said, I understand why n_p may be 6. But how do we know which it is? (or can it be both)2010-12-14

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Ask GAP:

gap> AllSmallGroups(156, IsSolvable, false); [  ] gap>  

This gives the list of all groups of order 156 which are not solvable.