gap> gap> h1:=(4,1,6,7); (1,6,7,4) gap> h2:=(4,6)(1,7); (1,7)(4,6) gap> h3:=(7,6,1,4); (1,4,7,6) gap> h4:=(2,3,8,5); (2,3,8,5) gap> h5:=(2,8)(3,5); (2,8)(3,5) gap> h6:=(3,2,5,8); (2,5,8,3) gap> G:=Group(h1,h2,h3,h4,h5,h6); Group( (1,6,7,4), (1,7)(4,6), (1,4,7,6), (2,3,8,5), (2,8)(3,5), (2,5,8,3) ) gap> N:=Size(G); 16 gap> GroupId(G); Error, the group library file 'groupid' must exist and be readable in ReadGrp( "groupid" ) called from main loop brk> quit; gap> ElementaryAbelian(G); Error, Variable: 'ElementaryAbelian' must have a value gap> quit;