/*
L2(32) presented on its (2,3,31A/B/C/D/E;11)-generators.
*/

G<x,y>:=Group<x,y|
x^2,
y^3,
(x*y*x*y*(x*y*x*y^-1)^4)^2,
(x*y)^4*(x*y^-1*x*y*x*y^-1)^3*(x*y)^4*(x*y^-1)^2
>;

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

H1:=sub<G|x,x^y>;