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

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

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