Uses five colors.

Each color forms the points of a regular tetrahedron.

A graph of the symmetry generated in PlantUML. Colors are letters, number of plugs is numbers. If there are more than one of a number in a color, there's a suffix behind an underscore.

An interactive graph generated in Plotly Graph Objects. Takes a bit to load.

I used the same file for the PlantUML graph above for the interactive graph below. I used Python's networkx library to compute the spectral_layout of the graph, and plotly to put markers at the vertices with cones for the arrows. Yes, I know it could be better, I'm frustrated with it, too. But as of 2023-12-26, plotly.graph_objects doesn't allow uniform sizing of Cones. Bummer, right?!?

And yes, I could use another piece of software, but I'm practicing with plotly right now, k? I teach data science courses and need to continually improve my skills in plotting libraries, and graph_objects is pretty new at this moment.