gap> uu:=(1,3)(2,4);ff:=(1,8)(4,5);dd:=(5,7)(6,8);
(1,3)(2,4)
(1,8)(4,5)
(5,7)(6,8)
gap> bb:=(3,6)(2,7);rr:=(2,5)(1,6);ll:=(4,7)(3,8);
(2,7)(3,6)
(1,6)(2,5)
(3,8)(4,7)
gap> H:=Group(uu,ff,rr,dd,bb,ll);
Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)(3,6), (3,8)
(4,7) )
gap> IsConjugate(rr,ll,H0;
Syntax error: ) expected
IsConjugate(rr,ll,H0;
                    ^
gap> IsConjugate(rr,ll,H);
Error, <G> must be a group in
IsConjugate( rr, ll, H ) called from
main loop
brk> quit;
gap> IsConjugate(H,rr,ll);
true
gap> ConjugacyClasses(H);
[ ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), () ), ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), 
    (1,6)(2,5), (5,7)(6,8), (2,7)(3,6), (3,8)(4,7) ), (5,7)(6,8) ), 
  ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), (3,6,8)(4,5,7) ), ConjugacyClass( Group( (1,3)(2,4), 
    (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)(3,6), (3,8)(4,7) ), (2,4)(5,7) )
    , ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), 
    (2,7)(3,6), (3,8)(4,7) ), (2,4,7,5)(3,6) ), 
  ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), (1,3)(6,8) ), ConjugacyClass( Group( (1,3)(2,4), 
    (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)(3,6), (3,8)(4,7) ), (1,3,6,8)
    (4,7) ), ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)
    (6,8), (2,7)(3,6), (3,8)(4,7) ), (1,3)(2,4)(5,7)(6,8) ), 
  ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), (1,3,6,8)(2,4,5,7) ), 
  ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), (1,3)(2,5)(4,7)(6,8) ) ]
gap> L:=ConjugacyClasses(H);
[ ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), () ), ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), 
    (1,6)(2,5), (5,7)(6,8), (2,7)(3,6), (3,8)(4,7) ), (5,7)(6,8) ), 
  ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), (3,6,8)(4,5,7) ), ConjugacyClass( Group( (1,3)(2,4), 
    (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)(3,6), (3,8)(4,7) ), (2,4)(5,7) )
    , ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), 
    (2,7)(3,6), (3,8)(4,7) ), (2,4,7,5)(3,6) ), 
  ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), (1,3)(6,8) ), ConjugacyClass( Group( (1,3)(2,4), 
    (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)(3,6), (3,8)(4,7) ), (1,3,6,8)
    (4,7) ), ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)
    (6,8), (2,7)(3,6), (3,8)(4,7) ), (1,3)(2,4)(5,7)(6,8) ), 
  ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), (1,3,6,8)(2,4,5,7) ), 
  ConjugacyClass( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)
    (3,6), (3,8)(4,7) ), (1,3)(2,5)(4,7)(6,8) ) ]
gap> Size(L[1]);
1
gap> Size(L[2]);
12
gap> Size(L[3]);
32
gap> Size(L[4]);
3
gap> Size(L[5]);
12
gap> Size(L[6]);
3
gap> Size(L[7]);
12
gap> Size(L[8]);
3
gap> Size(L[9]);
12
gap> Size(L[10]);
6
gap> Size(L[11]);
Error, List Element: <list>[11] must have a value
gap> 1+12+32+3+12+3+12+3+12+6;
96
gap> H1:=CommutatorSubgroup(H);
Error, Function: number of args must be 2
gap> H1:=CommutatorSubgroup(H,H);
Subgroup( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)(3,6), 
(3,8)(4,7) ), [ (1,8)(3,6), (1,3,8)(2,4,7), (1,6,3)(2,5,4) ] )
gap> Size(H1);
48
gap> Z_H:=Centre(H);
Subgroup( Group( (1,3)(2,4), (1,8)(4,5), (1,6)(2,5), (5,7)(6,8), (2,7)(3,6), 
(3,8)(4,7) ), [  ] )
gap> Size(Z_H);
1
gap> quit;