Is the Klien Group, or Klien Group Four model, developed by Felix Klein, often depicted as a diamond shape or a square with terms that are opposites written at opposing corners of the diagram? I have recently encountered this and wondered if this was common practice. How does this differ from using a Cayley Table to depict relationships? I would like to stress that I am a psychologist and not a mathematician so can you please keep answers simple! Thank you.

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