Volkswagen's employee council and Germany's biggest industrial union are demanding "transparency at all levels" of the company following the emissions-rigging scandal.

In a statement released Tuesday, the IG Metall union and VW's employee representatives pushed for "consistent implementation" of changes to the company structure announced after the scandal broke.

They said the changes offer an opportunity to replace the automaker's "rigid hierarchy" with a more flexible setup, adding that "mistakes must not be swept under the carpet — they must be named, analyzed and remedied."

Employee representatives sit on German companies' supervisory boards and Volkswagen's are particularly influential.

Tuesday's statement underlined their stance that employees should not pay the price for "the crisis caused by managers" and voiced concern over the possibility of management trying to cut temporary jobs.