Does Cayley Table that is symmetrical along the diagonal with identities really mean the group is Abelian?

443 Views Asked by Bumbble Comm At 22 Feb 2026 - 8:43

I am having this doubt because Cayley Table for integers under mod 4 seems to be Abelian but its Cayley Table doesn't seem to be symmetrical.

But I was watching this short lecture on Cayley Table where they say if the Cayley Table is symmetrical then the group must be Abelian.