f:=[1];

f[1]:=(1,2,3,4,5);
f[2]:=(1,6,7,8,2);
f[3]:=(2,8,9,10,3);
f[4]:=(3,10,11,12,4);
f[5]:=(5,4,12,13,14);
f[6]:=(1,5,14,15,6);
f[7]:=(16,20,7,6,15);
f[8]:=(7,20,19,9,8);
f[9]:=(11,10,9,17,18);
f[10]:=(12,11,18,17,13);
f[11]:=(15,14,13,17,16);
f[12]:=(16,17,18,19,20);

c:=[[1]];

for i in [1..12]  do
  for j in [1..12] do
    c[i][j]:=f[i]*f[j]^-1;
  od;
od;

a:=Concatenation(c);

C:=Group(a,a[1]);