# F:=RationalField(); local result, l; result:= rec(); result.comment:= "2\"S6(2) as 8 x 8 matrices over Z.\n\ "; result.symmetricforms:= []; result.antisymmetricforms:= []; result.hermitianforms:= []; result.centralizeralgebra:= []; result.generators:= List( [ [ 0,1,0,0,0,0,0,0, -1,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0, 0,0,-1,0,0,0,0,0, 0,0,0,0,0,1,0,0, 0,0,0,0,-1,0,0,0, 0,0,0,0,0,0,0,1, 0,0,0,0,0,0,-1,0] ,[ 1,0,0,0,0,0,0,0, 0,0,1,0,-1,0,0,0, 0,1,0,0,0,0,1,-1, -1,0,1,0,0,1,0,1, 0,0,0,1,0,0,0,0, 0,0,0,0,0,0,0,1, 0,0,0,0,1,0,0,1, 1,0,0,0,0,0,-1,0] ], l -> List( [ 0 .. 7 ], i -> l{ [ i*8+1 .. (i+1)*8 ] } ) ); return result;