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  ____     _    _    ______     ______   _    _   
 |  _ \\  | || | || |      \\  /_   _// | \  / || 
 | |_| || | || | || |  --  //   -| ||-  |  \/  || 
 | .  //  | \\_/ || |  --  \\   _| ||_  | .  . || 
 |_|\_\\   \____//  |______//  /_____// |_|\/|_|| 
 `-` --`    `---`   `------`   `-----`  `-`  `-`

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Text this: Finite nilpotent and metacyclic groups never violate the Ingleton inequality