Pyramid of Capitalist System

The sad thing is that with a few changes (swap the top tier for politburo, next tier for the communist party, etc.) a similar pyramid applies to communism.

«In capitalism, man exploits man. In communism, the opposite is true.»

A Pyramid of (Russian,Chinese) Communist System would be fairly similar, but with government officials taking the place of the capitalists and Communist Party officials taking the place of priests, and with those two reversed. Russia never actually implemented socialism, meaning that they never put power in the hands.of workers. A real socialist system would be something like a giant worker cooperative, like Mondragon.

If you mean USSR, then no, not really. While it was stratified, the privileges that those at the top enjoyed were not as far divorced from the life of an average citizen as the lifestyle enjoyed by the wealthy Western elites. The major factor was that all those benefits were formally perks of one's job and position, not something you could just buy for private use. And so, while nepotism was very much a thing, and ensured that children of the elites would inherit those positions, even well-connected families were limited in their ability to accumulate generational wealth.