Cayley Table of Elementary Abelian Group $E_8$

Question

I read about elementary abelian group $E_8$ at https://groupprops.subwiki.org/wiki/Elementary_abelian_group:E8#Definition. I've performed some searches on other sites and have yet to come across a Cayley table for it. Any leads on where to find one?

Answer 1

That's easy.

gap> G:=ElementaryAbelianGroup(8);;
gap> n:=8;;
gap> M:=MultiplicationTable(G);;
gap> for i in [1..n] do
> for j in [1..n] do
> Print(M[i][j]," ");
> od;
> Print("\n");
> od;
1 2 3 4 5 6 7 8 
2 1 5 6 3 4 8 7 
3 5 1 7 2 8 4 6 
4 6 7 1 8 2 3 5 
5 3 2 8 1 7 6 4 
6 4 8 2 7 1 5 3 
7 8 4 3 6 5 1 2 
8 7 6 5 4 3 2 1