/*
L2(32) presented on its (2,3,33A/B/C/D/E;33)-generators.
So xyxyxy^-1 has order 33.
*/

G<x,y>:=Group<x,y|
x^2,
y^3,
((x*y)^3*x*y^-1*(x*y)^3*(x*y^-1)^3)^2,   // Is redundant.
(x*y)^5*x*y^-1*x*y*(x*y^-1)^2*(x*y)^2*(x*y^-1*x*y)^2*(x*y^-1)^2*x*y*(x*y^-1)^3
>;

M1:=sub<G|x,y*x*y*x*y*x*y*x*y^-1*x*y>;
M2:=sub<G|x,x^y>;
M3:=sub<G|x,x^(y*x*y)>;