return [ rec(
      invers := ( 1, 3)( 2, 7)( 4,10)( 5,15)( 6, 8)( 9,11)(12,18)(13,23)(14,16)(17,19)(20,26)(21,30)(22,24)(25,27)
        (28,32)(29,31),
      nbP := 32,
      next := ( 1, 2)( 3, 4, 5, 6)( 7, 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29)
        (30,31,32) ), rec(
      invers := ( 1, 5)( 2,12)( 3,23)( 4, 8)( 6,11)( 7,16)( 9,20)(10,29)(13,19)(14,32)(15,27)(17,28)(18,31)(21,26)
        (22,25)(24,30),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32) ), rec(
      invers := ( 1, 5)( 2,12)( 3,21)( 4, 8)( 6,11)( 7,14)( 9,18)(10,26)(13,17)(15,25)(16,22)(19,24)(20,29)(23,30)
        (27,32)(28,31),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7)( 8, 9,10,11)(12,13)(14,15,16,17)(18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,19)( 7,29)( 8,16)(10,23)(11,21)(12,20)(14,18)(15,27)(17,31)(22,26)
        (25,30)(28,32),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,19)( 7,31)( 8,16)(10,23)(11,21)(12,20)(14,18)(15,29)(17,30)(22,27)
        (24,28)(26,32),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18)(19,20,21,22)(23,24)(25,26,27,28)
        (29,30,31,32) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,32)( 8,17)(10,24)(11,15)(12,22)(14,20)(16,28)(18,31)(19,23)
        (25,30)(26,29),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26)(27,28,29,30)
        (31,32) ), rec(
      invers := ( 1, 5)( 2,13)( 3,30)( 4, 9)( 6,21)( 7,32)( 8,17)(10,24)(11,15)(12,22)(14,20)(16,27)(18,31)(19,23)
        (25,29)(26,28),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30)
        (31,32) ), rec(
      invers := ( 1, 5)( 2,12)( 3,22)( 4, 8)( 6,16)( 7,13)( 9,21)(10,20)(11,17)(14,28)(15,24)(18,26)(19,29)(23,27)
        (25,31)(30,32),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32) ), rec(
      invers := ( 1, 5)( 2,12)( 3, 9)( 4, 8)( 6,19)( 7,16)(10,23)(11,20)(13,18)(14,32)(15,24)(17,27)(21,26)(22,28)
        (25,29)(30,31),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32) ), rec(
      invers := ( 1, 5)( 2,12)( 3, 9)( 4, 8)( 6,19)( 7,16)(10,23)(11,20)(13,18)(14,30)(15,24)(17,27)(21,31)(22,28)
        (25,29)(26,32),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,20)( 7,19)( 8,15)(10,23)(11,31)(12,21)(14,18)(16,29)(17,27)(22,30)
        (24,28)(25,32),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14)(15,16,17,18)(19,20,21,22)(23,24,25)(26,27,28)
        (29,30,31,32) ), rec(
      invers := ( 1, 5)( 2,12)( 3,25)( 4, 8)( 6,17)( 7,16)( 9,21)(10,29)(11,18)(13,15)(14,20)(19,26)(22,28)(23,31)
        (24,30)(27,32),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7)( 8, 9,10,11)(12,13,14)(15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32) ), rec(
      invers := ( 1, 5)( 2,16)( 3,25)( 4,10)( 6,15)( 7,29)( 8,20)( 9,12)(11,13)(14,24)(17,23)(18,32)(19,27)(21,28)
        (22,31)(26,30),
      nbP := 32,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32) ), rec(
      invers := ( 1, 3)( 2,10)( 4,15)( 5,26)( 6,12)( 7,11)( 8,19)( 9,16)(13,22)(14,20)(17,29)(18,27)(21,30)(23,28)
        (24,32)(25,31),
      nbP := 32,
      next := ( 1, 2)( 3, 4, 5, 6)( 7, 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21)(22,23,24,25)(26,27,28)
        (29,30,31,32) ), rec(
      invers := ( 1, 3)( 2,11)( 4, 9)( 5,15)( 6,10)( 7,18)( 8,27)(12,14)(13,22)(16,26)(17,23)(19,25)(20,30)(21,29)
        (24,31)(28,32),
      nbP := 32,
      next := ( 1, 2)( 3, 4, 5)( 6, 7, 8, 9)(10,11,12,13)(14,15,16,17)(18,19,20,21)(22,23,24,25)(26,27,28)
        (29,30,31,32) ), rec(
      invers := ( 1, 3)( 2,31)( 4,27)( 5,32)( 6,10)( 7,12)( 8,17)( 9,14)(11,13)(15,21)(16,18)(19,25)(20,22)(23,29)
        (24,26)(28,30),
      nbP := 32,
      next := ( 1, 2)( 3, 4, 5)( 6, 7, 8, 9)(10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32) ) ];
