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             ___     __   _      ___     _    _   
    ___     / _ \\  | || | ||   / _ \\  | \  / || 
   /   ||  | / \ || | '--' ||  / //\ \\ |  \/  || 
  | [] ||  | \_/ || | .--. || |  ___  ||| .  . || 
   \__ ||   \___//  |_|| |_|| |_||  |_|||_|\/|_|| 
    -|_||   `---`   `-`  `-`  `-`   `-` `-`  `-`  
     `-`

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