Discussion
There is a non-abelian group of order :
Answer: D
There is a non-abelian group of order 12.
The alternating group \(A_{4}\) and the dihedral group \(D_{6}\) of the hexagon both have order 12 and are non-abelian.
The other orders force commutativity. 41 is prime, so the group is cyclic. 49 = \(7^{2}\), and every group of order \(p^{2}\) is abelian. 15 = 3 x 5 with 3 not dividing \(5 - 1\), so the only group of order 15 is cyclic.
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