[C10,[ (), ( 1, 7, 3, 9, 5, 6, 2, 8, 4,10), ( 1, 4, 2, 5, 3)( 6, 9, 7,10, 8), ( 1, 3, 5, 2, 4)( 6, 8,10, 7, 9), ( 1, 5, 4, 3, 2)( 6,10, 9, 8, 7), ( 1,10, 4, 8, 2, 6, 5, 9, 3, 7), ( 1, 8, 5, 7, 4, 6, 3,10, 2, 9), ( 1, 9, 2,10, 3, 6, 4, 7, 5, 8), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10), ( 1, 6)( 2, 7)( 3, 8)( 4, 9)( 5,10) ]] [C3 : C4,[ (), ( 1, 5, 3, 4, 2, 6)( 7,11, 9,10, 8,12), ( 1, 7, 4,10)( 2, 9, 5,12)( 3, 8, 6,11), ( 1, 6, 2, 4, 3, 5)( 7,12, 8,10, 9,11), ( 1, 3, 2)( 4, 6, 5)( 7, 9, 8)(10,12,11), ( 1, 8, 4,11)( 2, 7, 5,10)( 3, 9, 6,12), ( 1, 9, 4,12)( 2, 8, 5,11)( 3, 7, 6,10), ( 1,11, 4, 8)( 2,10, 5, 7)( 3,12, 6, 9), ( 1,10, 4, 7)( 2,12, 5, 9)( 3,11, 6, 8), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12), ( 1,12, 4, 9)( 2,11, 5, 8)( 3,10, 6, 7), ( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,11) ( 9,12) ]] [C12,[ (), ( 1, 9, 6, 8, 3,11, 2,10, 5, 7, 4,12), ( 1, 3, 5)( 2, 4, 6)( 7, 9,11)( 8,10,12), ( 1, 6, 3, 2, 5, 4)( 7,12, 9, 8,11,10), ( 1, 7, 2, 8)( 3, 9, 4,10)( 5,11, 6,12), ( 1,11, 4, 8, 5, 9, 2,12, 3, 7, 6,10), ( 1,12, 4, 7, 5,10, 2,11, 3, 8, 6, 9) , ( 1, 8, 2, 7)( 3,10, 4, 9)( 5,12, 6,11), ( 1, 5, 3)( 2, 6, 4)( 7,11, 9)( 8,12,10), ( 1, 4, 5, 2, 3, 6)( 7,10,11, 8, 9,12), ( 1,10, 6, 7, 3,12, 2, 9, 5, 8, 4,11), ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10) (11,12) ]] [A4,[ (), (2,3,4), (1,2)(3,4), (1,3)(2,4), (1,3,4), (1,4,3), (1,2,4), (1,4,2), (1,3,2), (1,2,3), (2,4,3), (1,4)(2,3) ]] [C14,[ (), ( 1, 2, 3, 4, 5, 6, 7)( 8, 9,10,11,12,13,14), ( 1,11, 7,10, 6, 9, 5, 8, 4,14, 3,13, 2,12), ( 1,14, 6,12, 4,10, 2, 8, 7,13, 5,11, 3, 9), ( 1,12, 2,13, 3,14, 4, 8, 5, 9, 6,10, 7,11), ( 1, 6, 4, 2, 7, 5, 3)( 8,13,11, 9,14,12,10), ( 1,10, 5,14, 2,11, 6, 8, 3,12, 7, 9, 4,13), ( 1, 3, 5, 7, 2, 4, 6)( 8,10,12,14, 9,11,13), ( 1,13, 4, 9, 7,12, 3, 8, 6,11, 2,14, 5,10), ( 1, 5, 2, 6, 3, 7, 4)( 8,12, 9,13,10,14,11), ( 1, 7, 6, 5, 4, 3, 2)( 8,14,13,12,11,10, 9), ( 1, 4, 7, 3, 6, 2, 5)( 8,11,14,10,13, 9,12), ( 1, 9, 3,11, 5,13, 7, 8, 2,10, 4,12, 6,14), ( 1, 8)( 2, 9)( 3,10)( 4,11)( 5,12)( 6,13)( 7,14) ]] [C8 : C2,[ (), (1,3,2,4)(5,8,6,7), (5,6)(7,8), (1,5,3,7,2,6,4,8), (1,3,2,4)(5,7,6,8), (1,6,3,8,2,5,4,7), (1,6,4,7,2,5,3,8), (1,8,4,6,2,7,3,5), (1,4,2,3)(5,7,6,8), (1,4,2,3)(5,8,6,7), (1,7,4,5,2,8,3,6), (1,2)(3,4), (1,7,3,6,2,8,4,5), (1,8,3,5,2,7,4,6), (1,5,4,8,2,6,3,7), (1,2)(3,4)(5,6)(7,8) ]] [Q16,[ (), ( 1, 5, 2, 6)( 3, 8, 4, 7)( 9,13,10,14)(11,16,12,15), ( 1, 9, 2,10)( 3,12, 4,11)( 5,15, 6,16)( 7,13, 8,14), ( 1, 4, 2, 3)( 5, 8, 6, 7)( 9,12,10,11)(13,16,14,15), ( 1, 6, 2, 5)( 3, 7, 4, 8)( 9,14,10,13)(11,15,12,16), ( 1, 7, 2, 8)( 3, 5, 4, 6)( 9,15,10,16)(11,13,12,14), ( 1,14, 4,15, 2,13, 3,16)( 5,12, 8,10, 6,11, 7, 9), ( 1,12, 2,11)( 3,10, 4, 9)( 5,13, 6,14)( 7,16, 8,15), ( 1, 8, 2, 7)( 3, 6, 4, 5)( 9,16,10,15)(11,14,12,13), ( 1,11, 2,12)( 3, 9, 4,10)( 5,14, 6,13)( 7,15, 8,16), ( 1, 3, 2, 4)( 5, 7, 6, 8)( 9,11,10,12)(13,15,14,16), ( 1,10, 2, 9)( 3,11, 4,12)( 5,16, 6,15)( 7,14, 8,13), ( 1,13, 4,16, 2,14, 3,15)( 5,11, 8, 9, 6,12, 7,10), ( 1,15, 3,14, 2,16, 4,13)( 5,10, 7,12, 6, 9, 8,11), ( 1,16, 3,13, 2,15, 4,14)( 5, 9, 7,11, 6,10, 8,12), ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12)(13,14)(15,16) ]] [(C4 x C2) : C2,[ (), (5,6)(7,8), (1,3,2,4)(5,8,6,7), (1,5,2,6)(3,7,4,8), (1,3,2,4)(5,7,6,8), (1,6,2,5)(3,8,4,7), (1,8,2,7)(3,5,4,6), (1,8)(2,7)(3,5)(4,6), (1,4,2,3)(5,7,6,8), (1,2)(3,4), (1,5)(2,6)(3,7)(4,8), (1,6)(2,5)(3,8)(4,7), (1,7)(2,8)(3,6)(4,5), (1,4,2,3)(5,8,6,7), (1,7,2,8)(3,6,4,5), (1,2)(3,4)(5,6)(7,8) ]] [D18,[ (), (2,3)(4,9)(5,8)(6,7), (1,2)(4,7)(5,9)(6,8), (1,4)(2,6)(3,5)(7,9), (1,2,3)(4,5,6)(7,8,9), (1,6,8,2,4,9,3,5,7), (1,3,2)(4,6,5)(7,9,8), (1,7,5,3,9,4,2,8,6), (1,9)(2,8)(3,7)(4,6), (1,5,9,2,6,7,3,4,8), (1,6)(2,5)(3,4)(7,8), (1,4,7,2,5,8,3,6,9), (1,8)(2,7)(3,9)(4,5), (1,3)(4,8)(5,7)(6,9), (1,9,6,3,8,5,2,7,4), (1,8,4,3,7,6,2,9,5), (1,7)(2,9)(3,8)(5,6), (1,5)(2,4)(3,6)(8,9) ]] [C18,[ (), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18), ( 1, 4, 7, 2, 5, 8, 3, 6, 9)(10,13,16,11,14,17,12,15,18), ( 1, 7, 5, 3, 9, 4, 2, 8, 6)(10,16,14,12,18,13,11,17,15), ( 1,15, 8,11, 4,18, 3,14, 7,10, 6,17, 2,13, 9,12, 5,16), ( 1,14, 9,11, 6,16, 3,13, 8,10, 5,18, 2,15, 7,12, 4,17), ( 1, 8, 4, 3, 7, 6, 2, 9, 5)(10,17,13,12,16,15,11,18,14), ( 1,16, 5,12, 9,13, 2,17, 6,10, 7,14, 3,18, 4,11, 8,15), ( 1,13, 7,11, 5,17, 3,15, 9,10, 4,16, 2,14, 8,12, 6,18), ( 1,12, 2,10, 3,11)( 4,15, 5,13, 6,14)( 7,18, 8,16, 9,17), ( 1, 5, 9, 2, 6, 7, 3, 4, 8)(10,14,18,11,15,16,12,13,17), ( 1, 3, 2)( 4, 6, 5)( 7, 9, 8)(10,12,11)(13,15,14)(16,18,17), ( 1,17, 4,12, 7,15, 2,18, 5,10, 8,13, 3,16, 6,11, 9,14), ( 1, 9, 6, 3, 8, 5, 2, 7, 4)(10,18,15,12,17,14,11,16,13), ( 1,18, 6,12, 8,14, 2,16, 4,10, 9,15, 3,17, 5,11, 7,13), ( 1,11, 3,10, 2,12)( 4,14, 6,13, 5,15)( 7,17, 9,16, 8,18), ( 1, 6, 8, 2, 4, 9, 3, 5, 7)(10,15,17,11,13,18,12,14,16), ( 1,10)( 2,11)( 3,12)( 4,13)( 5,14)( 6,15)( 7,16)( 8,17)( 9,18) ]] [C3 x S3,[ (), (4,5,6), (1,2,3), (1,4,3,5,2,6), (1,6)(2,5)(3,4), (1,3,2)(4,6,5), (1,6,3,4,2,5), (1,4)(2,6)(3,5), (1,4,2,6,3,5), (1,2,3)(4,5,6), (1,5,2,4,3,6), (1,6,2,5,3,4), (1,3,2), (1,5,3,6,2,4), (1,2,3)(4,6,5), (4,6,5), (1,3,2)(4,5,6), (1,5)(2,4)(3,6) ]] [(C3 x C3) : C2,[ (), (2,3)(4,7)(5,9)(6,8), (1,2)(4,8)(5,7)(6,9), (1,4)(2,6)(3,5)(8,9), (1,3,2)(4,6,5)(7,9,8), (1,9,5)(2,7,6)(3,8,4), (1,9)(2,8)(3,7)(4,6), (1,2,3)(4,5,6)(7,8,9), (1,7)(2,9)(3,8)(5,6), (1,6,8)(2,4,9)(3,5,7), (1,7,4)(2,8,5)(3,9,6), (1,3)(4,9)(5,8)(6,7), (1,5,9)(2,6,7)(3,4,8), (1,8,6)(2,9,4)(3,7,5), (1,4,7)(2,5,8)(3,6,9), (1,8)(2,7)(3,9)(4,5), (1,6)(2,5)(3,4)(7,9), (1,5)(2,4)(3,6)(7,8) ]] [C6 x C3,[ (), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18), ( 1, 4, 7)( 2, 5, 8)( 3, 6, 9)(10,13,16)(11,14,17)(12,15,18), ( 1, 3, 2)( 4, 6, 5)( 7, 9, 8)(10,12,11)(13,15,14)(16,18,17), ( 1,18, 5,10, 9,14)( 2,16, 6,11, 7,15)( 3,17, 4,12, 8,13), ( 1,13, 7,10, 4,16)( 2,14, 8,11, 5,17)( 3,15, 9,12, 6,18), ( 1, 5, 9)( 2, 6, 7)( 3, 4, 8)(10,14,18)(11,15,16)(12,13,17), ( 1,12, 2,10, 3,11)( 4,15, 5,13, 6,14)( 7,18, 8,16, 9,17), ( 1,15, 8,10, 6,17)( 2,13, 9,11, 4,18)( 3,14, 7,12, 5,16), ( 1,14, 9,10, 5,18)( 2,15, 7,11, 6,16)( 3,13, 8,12, 4,17), ( 1, 9, 5)( 2, 7, 6)( 3, 8, 4)(10,18,14)(11,16,15)(12,17,13), ( 1,11, 3,10, 2,12)( 4,14, 6,13, 5,15)( 7,17, 9,16, 8,18), ( 1,17, 6,10, 8,15)( 2,18, 4,11, 9,13)( 3,16, 5,12, 7,14), ( 1, 8, 6)( 2, 9, 4)( 3, 7, 5)(10,17,15)(11,18,13)(12,16,14), ( 1,16, 4,10, 7,13)( 2,17, 5,11, 8,14)( 3,18, 6,12, 9,15), ( 1, 6, 8)( 2, 4, 9)( 3, 5, 7)(10,15,17)(11,13,18)(12,14,16), ( 1, 7, 4)( 2, 8, 5)( 3, 9, 6)(10,16,13)(11,17,14)(12,18,15), ( 1,10)( 2,11)( 3,12)( 4,13)( 5,14)( 6,15)( 7,16)( 8,17)( 9,18) ]] [C5 : C4, [ (), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10)(11,12,13,14,15)(16,17,18,19,20), ( 1, 4, 2, 5, 3)( 6, 9, 7,10, 8)(11,14,12,15,13)(16,19,17,20,18), ( 1, 7, 3, 9, 5, 6, 2, 8, 4,10)(11,17,13,19,15,16,12,18,14,20), ( 1,11, 6,16)( 2,15, 7,20)( 3,14, 8,19)( 4,13, 9,18)( 5,12,10,17), ( 1,15, 6,20)( 2,14, 7,19)( 3,13, 8,18)( 4,12, 9,17)( 5,11,10,16), ( 1,20, 6,15)( 2,19, 7,14)( 3,18, 8,13)( 4,17, 9,12)( 5,16,10,11), ( 1, 3, 5, 2, 4)( 6, 8,10, 7, 9)(11,13,15,12,14)(16,18,20,17,19), ( 1,12, 6,17)( 2,11, 7,16)( 3,15, 8,20)( 4,14, 9,19)( 5,13,10,18), ( 1,18, 6,13)( 2,17, 7,12)( 3,16, 8,11)( 4,20, 9,15)( 5,19,10,14), ( 1, 9, 2,10, 3, 6, 4, 7, 5, 8)(11,19,12,20,13,16,14,17,15,18), ( 1,17, 6,12)( 2,16, 7,11)( 3,20, 8,15)( 4,19, 9,14)( 5,18,10,13), ( 1, 5, 4, 3, 2)( 6,10, 9, 8, 7)(11,15,14,13,12)(16,20,19,18,17), ( 1,19, 6,14)( 2,18, 7,13)( 3,17, 8,12)( 4,16, 9,11)( 5,20,10,15), ( 1,13, 6,18)( 2,12, 7,17)( 3,11, 8,16)( 4,15, 9,20)( 5,14,10,19), ( 1, 6)( 2, 7)( 3, 8)( 4, 9)( 5,10)(11,16)(12,17)(13,18)(14,19)(15,20), ( 1,14, 6,19)( 2,13, 7,18)( 3,12, 8,17)( 4,11, 9,16)( 5,15,10,20), ( 1,16, 6,11)( 2,20, 7,15)( 3,19, 8,14)( 4,18, 9,13)( 5,17,10,12), ( 1,10, 4, 8, 2, 6, 5, 9, 3, 7)(11,20,14,18,12,16,15,19,13,17), ( 1, 8, 5, 7, 4, 6, 3,10, 2, 9)(11,18,15,17,14,16,13,20,12,19) ]] [C5 : C4,[ (), (2,3,5,4), (2,4,5,3), (1,2,3,4,5), (1,2,4,3), (1,3,5,2,4), (1,3)(4,5), (1,5,4,3,2), (1,4,3,5), (1,4,2,5,3), (1,5,3,4), (1,4,5,2), (1,5,2,3), (1,3,4,2), (1,5)(2,4), (1,3,2,5), (1,2,5,4), (2,5)(3,4), (1,2)(3,5), (1,4)(2,3) ]] [D20,[ (), ( 2, 5)( 3, 4)( 7,10)( 8, 9), ( 1, 2)( 3, 5)( 6, 7)( 8,10), ( 1, 4, 2, 5, 3)( 6, 9, 7,10, 8), ( 1, 8)( 2, 7)( 3, 6)( 4,10)( 5, 9), ( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10), ( 1, 7)( 2, 6)( 3,10)( 4, 9)( 5, 8), ( 1, 4)( 2, 3)( 6, 9)( 7, 8), ( 1, 9)( 2, 8)( 3, 7)( 4, 6)( 5,10), ( 1,10, 4, 8, 2, 6, 5, 9, 3, 7), ( 1,10)( 2, 9)( 3, 8)( 4, 7)( 5, 6), ( 1, 3)( 4, 5)( 6, 8)( 9,10), ( 1, 5)( 2, 4)( 6,10)( 7, 9), ( 1, 8, 5, 7, 4, 6, 3,10, 2, 9), ( 1, 7, 3, 9, 5, 6, 2, 8, 4,10), ( 1, 6)( 2,10)( 3, 9)( 4, 8)( 5, 7), ( 1, 5, 4, 3, 2)( 6,10, 9, 8, 7), ( 1, 6)( 2, 7)( 3, 8)( 4, 9)( 5,10), ( 1, 9, 2,10, 3, 6, 4, 7, 5, 8), ( 1, 3, 5, 2, 4)( 6, 8,10, 7, 9) ]] [C7 : C3,[ (), (2,3,5)(4,7,6), (1,2,3,4,5,6,7), (2,5,3)(4,6,7), (1,5,2,6,3,7,4), (1,5,6)(2,7,3), (1,3,4)(2,7,6), (1,4,2)(3,5,6), (1,3,7)(2,5,4), (1,4,7,3,6,2,5), (1,6,5)(2,3,7), (1,3,5,7,2,4,6), (1,7,6,5,4,3,2), (1,4,3)(2,6,7), (1,2,6)(4,7,5), (1,5,7)(3,6,4), (1,7,3)(2,4,5), (1,2,4)(3,6,5), (1,7,5)(3,4,6), (1,6,2)(4,5,7), (1,6,4,2,7,5,3) ]] [D22,[ (), ( 2,11)( 3,10)( 4, 9)( 5, 8)( 6, 7), ( 1, 2)( 3,11)( 4,10)( 5, 9)( 6, 8), ( 1, 3, 5, 7, 9,11, 2, 4, 6, 8,10), ( 1, 3)( 4,11)( 5,10)( 6, 9)( 7, 8), ( 1, 9)( 2, 8)( 3, 7)( 4, 6)(10,11), ( 1, 8)( 2, 7)( 3, 6)( 4, 5)( 9,11), ( 1,11,10, 9, 8, 7, 6, 5, 4, 3, 2), ( 1,10)( 2, 9)( 3, 8)( 4, 7)( 5, 6), ( 1, 8, 4,11, 7, 3,10, 6, 2, 9, 5), ( 1, 6)( 2, 5)( 3, 4)( 7,11)( 8,10), ( 1,11)( 2,10)( 3, 9)( 4, 8)( 5, 7), ( 1, 4)( 2, 3)( 5,11)( 6,10)( 7, 9), ( 1, 5, 9, 2, 6,10, 3, 7,11, 4, 8), ( 1, 7, 2, 8, 3, 9, 4,10, 5,11, 6), ( 1, 5)( 2, 4)( 6,11)( 7,10)( 8, 9), ( 1,10, 8, 6, 4, 2,11, 9, 7, 5, 3), ( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11), ( 1, 9, 6, 3,11, 8, 5, 2,10, 7, 4), ( 1, 6,11, 5,10, 4, 9, 3, 8, 2, 7), ( 1, 4, 7,10, 2, 5, 8,11, 3, 6, 9), ( 1, 7)( 2, 6)( 3, 5)( 8,11)( 9,10) ]]