gap> F:=(1,3,2); R:=(1,4,3); D:=(2,3,4); L:=(1.2.4); (1,3,2) (1,4,3) (2,3,4) Syntax error: ) expected F:=(1,3,2); R:=(1,4,3); D:=(2,3,4); L:=(1.2.4); ^ gap> F:=(1,3,2); R:=(1,4,3); D:=(2,3,4); L:=(1,2,4); (1,3,2) (1,4,3) (2,3,4) (1,2,4) gap> h1:=F*R^-1;h2:=D*R^-1;h3:=L*F^-1; (1,4)(2,3) (1,3)(2,4) (1,3)(2,4) gap> h4:=L*R^-1;h5:=D*L^-1;h6:=D*R^-1; (1,2)(3,4) (1,4)(2,3) (1,3)(2,4) gap> G:=Group(h1,h2,h3,h4,h5,h6); Group( (1,4)(2,3), (1,3)(2,4), (1,3)(2,4), (1,2)(3,4), (1,4)(2,3), (1,3) (2,4) ) gap> Size(G); 4 gap> h7:=F*D^-1; (1,2)(3,4) gap> G:=Group(h1,h2,h3,h4,h5,h6,h7); Group( (1,4)(2,3), (1,3)(2,4), (1,3)(2,4), (1,2)(3,4), (1,4)(2,3), (1,3) (2,4), (1,2)(3,4) ) gap> Size(G); 4 gap> Z:=Centre(G); Subgroup( Group( (1,4)(2,3), (1,3)(2,4), (1,3)(2,4), (1,2)(3,4), (1,4)(2,3), (1,3)(2,4), (1,2)(3,4) ), [ (1,2)(3,4), (1,3)(2,4) ] ) gap> Size(Z); 4 gap> IsCyclic(G); false gap> quit;