gap> f:=[1];
[ 1 ]
gap> 
gap> f[1]:=(1,4,3,2);
(1,4,3,2)
gap> f[2]:=(1,6,10,5);
( 1, 6,10, 5)
gap> f[3]:=(2,7,11,6);
( 2, 7,11, 6)
gap> f[4]:=(7,3,8,12);
( 3, 8,12, 7)
gap> f[5]:=(4,5,9,8);
(4,5,9,8)
gap> f[6]:=(9,10,11,12);
( 9,10,11,12)
gap> 
gap> c:=[1];
[ 1 ]
gap> 
gap> for i in [1..6]  do
>   for j in [1..6] do
>     c[6*(i-1)+j]:=f[i]*f[j]^-1;
>   od;
> od;
gap> C:=Group(c,[1]);
Error, sorry, the elements of <arg> lie in no common ring domain in
Domain( Concatenation( gens, [ id ] ) ) called from
Group( c, [ 1 ] ) called from
main loop
brk> quit;
gap> c[1];
()
gap> c[2];
( 1, 4, 3, 2, 5,10, 6)
gap> c[7];
( 1, 6,10, 5, 2, 3, 4)
gap> for i in [1..36[ do c[i]; od;
Syntax error: ] expected
for i in [1..36[ do c[i]; od;
               ^
gap> for i in [1..36] do c[i]; od;
Syntax error: warning, this statement has no effect
for i in [1..36] do c[i]; od;
                        ^
gap> for i in [1..36] do print(i,c[i],`\n `); od;
Syntax error: expression expected
for i in [1..36] do print(i,c[i],`\n `); od;
                                 ^
gap> for i in [1..36] do print(i,c[i],'\n '); od;
Syntax error: missing single quote in character constant
for i in [1..36] do print(i,c[i],'\n '); od;
                                   ^
gap> for i in [1..36] do print(i,c[i],'/n '); od;
Syntax error: missing single quote in character constant
for i in [1..36] do print(i,c[i],'/n '); od;
                                  ^
gap> for i in [1..36] do print(i,c[i],"\n "); od;
Error, Variable: 'print' must have a value
gap> for i in [1..36] do print(i,c[i]); od;
Error, Variable: 'print' must have a value
gap> 
gap> for i in [1..36] do Print(i,c[i]); od;
1()2( 1, 4, 3, 2, 5,10, 6)3( 1, 4, 3, 6,11, 7, 2)4( 1, 4, 7,12, 8, 3, 2)5
(1,8,9,5,4,3,2)6( 1, 4, 3, 2)( 9,12,11,10)7( 1, 6,10, 5, 2, 3, 4)8()9
( 1,11, 7, 2, 6,10, 5)10( 1, 6,10, 5)( 3, 7,12, 8)11( 1, 6,10, 4, 8, 9, 5)12
( 1, 6, 9,12,11,10, 5)13( 1, 2, 7,11, 6, 3, 4)14( 1, 5,10, 6, 2, 7,11)15()16
( 2,12, 8, 3, 7,11, 6)17( 2, 7,11, 6)( 4, 8, 9, 5)18( 2, 7,10, 9,12,11, 6)19
( 1, 2, 3, 8,12, 7, 4)20( 1, 5,10, 6)( 3, 8,12, 7)21( 2, 6,11, 7, 3, 8,12)22()
23( 3, 9, 5, 4, 8,12, 7)24( 3, 8,11,10, 9,12, 7)25(1,2,3,4,5,9,8)26
( 1, 5, 9, 8, 4,10, 6)27( 2, 6,11, 7)( 4, 5, 9, 8)28( 3, 7,12, 8, 4, 5, 9)29()
30( 4, 5,12,11,10, 9, 8)31( 1, 2, 3, 4)( 9,10,11,12)32( 1, 5,10,11,12, 9, 6)33
( 2, 6,11,12, 9,10, 7)34( 3, 7,12, 9,10,11, 8)35( 4, 8, 9,10,11,12, 5)
36()gap> for i in [1..36] do Print(i,c[i],'\n '); od;
Syntax error: missing single quote in character constant
for i in [1..36] do Print(i,c[i],'\n '); od;
                                   ^
gap> for i in [1..36] do Print(i,c[i],'\N '); od;
Syntax error: missing single quote in character constant
for i in [1..36] do Print(i,c[i],'\N '); od;
                                   ^
gap> for i in [1..36] do Print(i,c[i],'/N '); od;
Syntax error: missing single quote in character constant
for i in [1..36] do Print(i,c[i],'/N '); od;
                                  ^
gap> for i in [1..36] do Print(i,c[i],"\N "); od;
1()N 2( 1, 4, 3, 2, 5,10, 6)N 3( 1, 4, 3, 6,11, 7, 2)N 4( 1, 4, 7,12, 8, 3, 2
 )N 5(1,8,9,5,4,3,2)N 6( 1, 4, 3, 2)( 9,12,11,10)N 7( 1, 6,10, 5, 2, 3, 4)N 
8()N 9( 1,11, 7, 2, 6,10, 5)N 10( 1, 6,10, 5)( 3, 7,12, 8)N 11( 1, 6,10, 4, 8,
 9, 5)N 12( 1, 6, 9,12,11,10, 5)N 13( 1, 2, 7,11, 6, 3, 4)N 14( 1, 5,10, 6, 2,
 7,11)N 15()N 16( 2,12, 8, 3, 7,11, 6)N 17( 2, 7,11, 6)( 4, 8, 9, 5)N 18
( 2, 7,10, 9,12,11, 6)N 19( 1, 2, 3, 8,12, 7, 4)N 20( 1, 5,10, 6)
( 3, 8,12, 7)N 21( 2, 6,11, 7, 3, 8,12)N 22()N 23( 3, 9, 5, 4, 8,12, 7)N 24
( 3, 8,11,10, 9,12, 7)N 25(1,2,3,4,5,9,8)N 26( 1, 5, 9, 8, 4,10, 6)N 27
( 2, 6,11, 7)( 4, 5, 9, 8)N 28( 3, 7,12, 8, 4, 5, 9)N 29()N 30( 4, 5,12,11,10,
 9, 8)N 31( 1, 2, 3, 4)( 9,10,11,12)N 32( 1, 5,10,11,12, 9, 6)N 33
( 2, 6,11,12, 9,10, 7)N 34( 3, 7,12, 9,10,11, 8)N 35( 4, 8, 9,10,11,12, 5)N 
36()N gap> for i in [1..36] do Print(i,c[i],"\n "); od;
1()
 2( 1, 4, 3, 2, 5,10, 6)
 3( 1, 4, 3, 6,11, 7, 2)
 4( 1, 4, 7,12, 8, 3, 2)
 5(1,8,9,5,4,3,2)
 6( 1, 4, 3, 2)( 9,12,11,10)
 7( 1, 6,10, 5, 2, 3, 4)
 8()
 9( 1,11, 7, 2, 6,10, 5)
 10( 1, 6,10, 5)( 3, 7,12, 8)
 11( 1, 6,10, 4, 8, 9, 5)
 12( 1, 6, 9,12,11,10, 5)
 13( 1, 2, 7,11, 6, 3, 4)
 14( 1, 5,10, 6, 2, 7,11)
 15()
 16( 2,12, 8, 3, 7,11, 6)
 17( 2, 7,11, 6)( 4, 8, 9, 5)
 18( 2, 7,10, 9,12,11, 6)
 19( 1, 2, 3, 8,12, 7, 4)
 20( 1, 5,10, 6)( 3, 8,12, 7)
 21( 2, 6,11, 7, 3, 8,12)
 22()
 23( 3, 9, 5, 4, 8,12, 7)
 24( 3, 8,11,10, 9,12, 7)
 25(1,2,3,4,5,9,8)
 26( 1, 5, 9, 8, 4,10, 6)
 27( 2, 6,11, 7)( 4, 5, 9, 8)
 28( 3, 7,12, 8, 4, 5, 9)
 29()
 30( 4, 5,12,11,10, 9, 8)
 31( 1, 2, 3, 4)( 9,10,11,12)
 32( 1, 5,10,11,12, 9, 6)
 33( 2, 6,11,12, 9,10, 7)
 34( 3, 7,12, 9,10,11, 8)
 35( 4, 8, 9,10,11,12, 5)
 36()
 gap> C:=Group(c,c[1]);
Group( ( 1, 4, 3, 2, 5,10, 6), ( 1, 4, 3, 6,11, 7, 2), ( 1, 4, 7,12, 8, 3, 2
 ), (1,8,9,5,4,3,2), ( 1, 4, 3, 2)( 9,12,11,10), ( 1, 6,10, 5, 2, 3, 4), 
( 1,11, 7, 2, 6,10, 5), ( 1, 6,10, 5)( 3, 7,12, 8), ( 1, 6,10, 4, 8, 9, 5), 
( 1, 6, 9,12,11,10, 5), ( 1, 2, 7,11, 6, 3, 4), ( 1, 5,10, 6, 2, 7,11), 
( 2,12, 8, 3, 7,11, 6), ( 2, 7,11, 6)( 4, 8, 9, 5), ( 2, 7,10, 9,12,11, 6), 
( 1, 2, 3, 8,12, 7, 4), ( 1, 5,10, 6)( 3, 8,12, 7), ( 2, 6,11, 7, 3, 8,12), 
( 3, 9, 5, 4, 8,12, 7), ( 3, 8,11,10, 9,12, 7), (1,2,3,4,5,9,8), 
( 1, 5, 9, 8, 4,10, 6), ( 2, 6,11, 7)( 4, 5, 9, 8), ( 3, 7,12, 8, 4, 5, 9), 
( 4, 5,12,11,10, 9, 8), ( 1, 2, 3, 4)( 9,10,11,12), ( 1, 5,10,11,12, 9, 6), 
( 2, 6,11,12, 9,10, 7), ( 3, 7,12, 9,10,11, 8), ( 4, 8, 9,10,11,12, 5) )
gap> Size(C);
239500800
gap> IsSimple(C);
true
gap> N:=Size(C);
239500800
gap> FactorsInt(N);
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 7, 11 ]
gap> FactorsInt(8!/2);
Syntax error: ) expected
FactorsInt(8!/2);
            ^
gap> FactorsInt(8*7*6*5*4*3*2/2);
[ 2, 2, 2, 2, 2, 2, 3, 3, 5, 7 ]
gap> FactorsInt(11*10*9*8*7*6*5*4*3*2/2);
[ 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5, 7, 11 ]
gap> FactorsInt(12*11*10*9*8*7*6*5*4*3*2/2);
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 7, 11 ]
gap> quit;