Computation of Sha for groups of order \(16\) and \(p=2\).

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There are \(9\) non-abelian groups of order \(16\). There are \(5\) combination(s) of \(G, N\) where \(G\) is not abelian with nontrivial Sha:

• \((16,4)\) : \(2\).
• \((16,6)\) : \(2\).
• \((16,8)\) : \(2\).
• \((16,9)\) : \(4\).
• \((16,12)\) : \(4\).

max order of Sha : \(4\).

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NOTE: We excluded abelian groups for which we know the result exactly.