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

 _____      ______   _    _    __   __    _____   
|  __ \\   /_   _// | || | ||  \ \\/ //  /  ___|| 
| |  \ ||   -| ||-  | || | ||   \ ` //  | // __   
| |__/ ||   _| ||_  | \\_/ ||    | ||   | \\_\ || 
|_____//   /_____//  \____//     |_||    \____//  
 -----`    `-----`    `---`      `-`'     `---`