Also fun that your matrix of multiplication is a symmetrical square matrix meaning the transpose is identical :) not sure the significance of it, but it's interesting
I think it means it’s Abelian.
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{1, 2, 3, 4, 5 } Mod6 example is symmetrical square but not abelian group right?
The Unit Group mod 6 is {1,5} - remember it’s the numbers relatively prime to 6
Nice, and symmetrical :)