is (a scalar multiple of) the DFT matrix.

Another example is the character table of :

where (12) represents the conjugacy class consisting of (12), (13), (23), while (123) represents the conjugacy class consisting of (123), (132). To learn more about character table of symmetric groups, see .

The first row of the character table always consists of 1s, and corresponds to the trivial representation (the 1-dimensional representation

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