n:=9;
types:=[ ConjugacyClassSubgroups(Group( [ (1,2,3)(4,5,6)(7,8,9), (2,3)(4,9)(5,8)(6,7), (10,11) ] ),Group( () )), ConjugacyClassSubgroups(Group( [ (1,2,3)(4,5,6)(7,8,9), (2,3)(4,9)(5,8)(6,7), (10,11) ] ),Group( [ (2,3)(4,9)(5,8)(6,7) ] )), 
  ConjugacyClassSubgroups(Group( [ (1,2,3)(4,5,6)(7,8,9), (2,3)(4,9)(5,8)(6,7), (10,11) ] ),Group( [ ( 2, 3)( 4, 9)( 5, 8)( 6, 7)(10,11) ] )), ConjugacyClassSubgroups(Group( [ (1,2,3)(4,5,6)(7,8,9), (2,3)(4,9)(5,8)(6,7), (10,11) ] ),Group( 
    [ (1,2,3)(4,5,6)(7,8,9) ] )), ConjugacyClassSubgroups(Group( [ (1,2,3)(4,5,6)(7,8,9), (2,3)(4,9)(5,8)(6,7), (10,11) ] ),Group( [ (1,2,3)(4,5,6)(7,8,9), (2,3)(4,9)(5,8)(6,7) ] )), 
  ConjugacyClassSubgroups(Group( [ (1,2,3)(4,5,6)(7,8,9), (2,3)(4,9)(5,8)(6,7), (10,11) ] ),Group( [ (1,2,3)(4,5,6)(7,8,9), ( 2, 3)( 4, 9)( 5, 8)( 6, 7)(10,11) ] )), ConjugacyClassSubgroups(Group( [ (1,2,3)(4,5,6)(7,8,9), (2,3)(4,9)(5,8)(6,7), (10,11) 
     ] ),Group( [ (1,2,3)(4,5,6)(7,8,9), (2,3)(4,9)(5,8)(6,7), (10,11) ] )) ];