LogTo("c:/gap/games/rainbow/column3.log");
f1:=(1,4)(2,3); 
f2:=(2,5)(3,4); 
f3:=(3,6)(4,5); 
f4:=(4,7)(5,6); 
f5:=(5,8)(6,7); 
f6:=(6,1)(7,8); 
f7:=(7,2)(1,8); 
h1:=(1,2,3,4,5,6,7,8);
h2:=f1*f3*f1;
h3:=f1*f7*f1;
h4:=(2,6)(3,7);
h5:=(4,8)(3,7);
h6:=(2,6)(1,5,3,7);
h7:=(1,7)(2,4,6)(3,5);
G:=Group(h1,h2,h3,h4,h5,h6,h7);
N:=Size(G);
ans:=IsAbelian(G);