What is the difference between the S&P 500 and the beta?

Could you please elaborate on the distinction between the S&P 500 and beta? As I understand, the S&P 500 is a stock market index that represents the performance of 500 large companies listed on U.S. stock exchanges. On the other hand, beta is a measure of a stock's volatility relative to the overall market. Is there a specific way in which these two concepts are related or differ? Additionally, could you provide some practical examples to further clarify their differences?