["C7 : C3", [ (), (2,3,5)(4,7,6), (1,2,3,4,5,6,7), (2,5,3)(4,6,7), (1,2,6)(4,7,5), 
  (1,2,4)(3,6,5), (1,3,5,7,2,4,6), (1,4,2)(3,5,6), (1,5,6)(2,7,3), 
  (1,3,7)(2,5,4), (1,6,2)(4,5,7), (1,5,7)(3,6,4), (1,4,7,3,6,2,5), 
  (1,6,4,2,7,5,3), (1,5,2,6,3,7,4), (1,7,5)(3,4,6), (1,3,4)(2,7,6), 
  (1,7,3)(2,4,5), (1,4,3)(2,6,7), (1,6,5)(2,3,7), (1,7,6,5,4,3,2) ]]

["(C3 x C3) : C3", [ (), (4,5,6)(7,9,8), (1,2,3)(7,9,8), (4,6,5)(7,8,9), (1,2,3)(4,6,5), 
  (1,4,7)(2,5,8)(3,6,9), (1,2,3)(4,5,6)(7,8,9), (1,4,8)(2,5,9)(3,6,7), 
  (1,3,2)(7,8,9), (1,4,9)(2,5,7)(3,6,8), (1,7,6)(2,8,4)(3,9,5), 
  (1,3,2)(4,5,6), (1,8,6)(2,9,4)(3,7,5), (1,5,9)(2,6,7)(3,4,8), 
  (1,5,7)(2,6,8)(3,4,9), (1,7,4)(2,8,5)(3,9,6), (1,7,5)(2,8,6)(3,9,4), 
  (1,8,5)(2,9,6)(3,7,4), (1,9,4)(2,7,5)(3,8,6), (1,5,8)(2,6,9)(3,4,7), 
  (1,9,6)(2,7,4)(3,8,5), (1,6,8)(2,4,9)(3,5,7), (1,9,5)(2,7,6)(3,8,4), 
  (1,6,7)(2,4,8)(3,5,9), (1,8,4)(2,9,5)(3,7,6), (1,6,9)(2,4,7)(3,5,8), 
  (1,3,2)(4,6,5)(7,9,8) ]]

["C9 : C3", [ (), (2,5,8)(3,9,6), (1,2,3,4,5,6,7,8,9), (2,8,5)(3,6,9), 
  (1,2,9,4,5,3,7,8,6), (1,2,6,4,5,9,7,8,3), (1,3,8,7,9,5,4,6,2), 
  (1,3,5,7,9,2,4,6,8), (1,4,7)(3,9,6), (1,3,2,7,9,8,4,6,5), 
  (1,5,3,4,8,6,7,2,9), (1,6,2,7,3,8,4,9,5), (1,9,8,7,6,5,4,3,2), 
  (1,4,7)(2,5,8)(3,6,9), (1,6,8,7,3,5,4,9,2), (1,5,9,4,8,3,7,2,6), 
  (1,8,3,4,2,6,7,5,9), (1,7,4)(2,5,8), (1,8,6,4,2,9,7,5,3), 
  (1,8,9,4,2,3,7,5,6), (1,6,5,7,3,2,4,9,8), (1,9,5,7,6,2,4,3,8), 
  (1,7,4)(3,6,9), (1,4,7)(2,8,5), (1,9,2,7,6,8,4,3,5), (1,5,6,4,8,9,7,2,3), 
  (1,7,4)(2,8,5)(3,9,6) ]]

["C13 : C3", [ (), ( 2, 4,10)( 3, 7, 6)( 5,13,11)( 8, 9,12), 
  ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13), 
  ( 2,10, 4)( 3, 6, 7)( 5,11,13)( 8,12, 9), 
  ( 1, 2,11)( 3, 7, 4)( 5,12,10)( 6, 8,13), 
  ( 1, 2, 5)( 3, 8,10)( 4,11, 6)( 9,13,12), 
  ( 1, 3, 5, 7, 9,11,13, 2, 4, 6, 8,10,12), 
  ( 1, 3, 9)( 2, 6, 5)( 4,12,10)( 7, 8,11), 
  ( 1, 4, 7,10,13, 3, 6, 9,12, 2, 5, 8,11), 
  ( 1, 4,13)( 2, 7, 9)( 3,10, 5)( 8,12,11), 
  ( 1, 5, 9,13, 4, 8,12, 3, 7,11, 2, 6,10), 
  ( 1, 5, 2)( 3,10, 8)( 4, 6,11)( 9,12,13), 
  ( 1, 3, 8)( 2,12,11)( 5,13, 7)( 6, 9,10), 
  ( 1, 5, 4)( 2, 8,13)( 3,11, 9)( 6, 7,10), 
  ( 1, 6,11, 3, 8,13, 5,10, 2, 7,12, 4, 9), 
  ( 1, 9, 4,12, 7, 2,10, 5,13, 8, 3,11, 6), 
  ( 1, 4, 5)( 2,13, 8)( 3, 9,11)( 6,10, 7), 
  ( 1, 8, 6)( 2, 4, 9)( 3,13,12)( 7,10,11), 
  ( 1,13, 4)( 2, 9, 7)( 3, 5,10)( 8,11,12), 
  ( 1, 6,12)( 3,11, 5)( 4, 7, 8)( 9,13,10), 
  ( 1, 7,13, 6,12, 5,11, 4,10, 3, 9, 2, 8), 
  ( 1, 7,12)( 2,10, 8)( 3,13, 4)( 5, 6, 9), 
  ( 1, 6, 8)( 2, 9, 4)( 3,12,13)( 7,11,10), 
  ( 1,13,10)( 2, 3, 6)( 4, 9,11)( 5,12, 7), 
  ( 1, 9, 3)( 2, 5, 6)( 4,10,12)( 7,11, 8), 
  ( 1, 8, 3)( 2,11,12)( 5, 7,13)( 6,10, 9), 
  ( 1,12, 7)( 2, 8,10)( 3, 4,13)( 5, 9, 6), 
  ( 1, 7, 9)( 2, 3,12)( 4, 8, 5)( 6,13,11), 
  ( 1,11, 8, 5, 2,12, 9, 6, 3,13,10, 7, 4), 
  ( 1,10,13)( 2, 6, 3)( 4,11, 9)( 5, 7,12), 
  ( 1,12,10, 8, 6, 4, 2,13,11, 9, 7, 5, 3), 
  ( 1, 8, 2, 9, 3,10, 4,11, 5,12, 6,13, 7), 
  ( 1,11, 2)( 3, 4, 7)( 5,10,12)( 6,13, 8), 
  ( 1,11,10)( 2, 7,13)( 4,12, 6)( 5, 8, 9), 
  ( 1,13,12,11,10, 9, 8, 7, 6, 5, 4, 3, 2), 
  ( 1,10,11)( 2,13, 7)( 4, 6,12)( 5, 9, 8), 
  ( 1,12, 6)( 3, 5,11)( 4, 8, 7)( 9,10,13), 
  ( 1, 9, 7)( 2,12, 3)( 4, 5, 8)( 6,11,13), 
  ( 1,10, 6, 2,11, 7, 3,12, 8, 4,13, 9, 5) ]]