2 1 2 ; 2,1 ; S2
3 1 3 ; 2,3,1 ; A3
3 2 6 ; 2,3,1 2,1,3 ; S3
4 1 4 ; 2,3,4,1 ; C(4) = 4
4 2 4 ; 4,3,2,1 2,1,4,3 ; E(4) = 2[x]2
4 3 8 ; 2,3,4,1 3,2,1,4 ; D(4)
4 4 12 ; 2,3,1,4 1,3,4,2 ; A4
4 5 24 ; 2,3,4,1 2,1,3,4 ; S4
5 1 5 ; 2,3,4,5,1 ; C(5) = 5
5 2 10 ; 2,3,4,5,1 4,3,2,1,5 ; D(5) = 5:2
5 3 20 ; 2,3,4,5,1 2,4,1,3,5 ; F(5) = 5:4
5 4 60 ; 2,3,4,5,1 1,2,4,5,3 ; A5
5 5 120 ; 2,3,4,5,1 2,1,3,4,5 ; S5
6 1 6 ; 2,3,4,5,6,1 ; C(6) = 6 = 3[x]2
6 2 6 ; 3,4,5,6,1,2 4,3,2,1,6,5 ; D_6(6) = [3]2
6 3 12 ; 2,3,4,5,6,1 4,3,2,1,6,5 ; D(6) = S(3)[x]2
6 4 12 ; 4,5,3,1,2,6 3,4,5,6,1,2 ; A_4(6) = [2^2]3
6 5 18 ; 1,4,3,6,5,2 4,5,6,1,2,3 ; F_18(6) = [3^2]2 = 3 wr 2
6 6 24 ; 1,2,6,4,5,3 3,4,5,6,1,2 ; 2A_4(6) = [2^3]3 = 2 wr 3
6 7 24 ; 4,5,3,1,2,6 3,4,5,6,1,2 5,4,3,2,1,6 ; S_4(6d) = [2^2]S(3)
6 8 24 ; 4,5,3,1,2,6 3,4,5,6,1,2 5,4,6,2,1,3 ; S_4(6c) = 1/2[2^3]S(3)
6 9 36 ; 1,4,3,6,5,2 5,4,3,2,1,6 4,5,6,1,2,3 ; F_18(6):2 = [1/2.S(3)^2]2
6 10 36 ; 1,4,3,6,5,2 5,4,3,2,1,6 4,1,6,5,2,3 ; F_36(6) = 1/2[S(3)^2]2
6 11 48 ; 1,2,6,4,5,3 3,4,5,6,1,2 5,4,3,2,1,6 ; 2S_4(6) = [2^3]S(3) = 2 wr S(3)
6 12 60 ; 2,3,4,6,5,1 4,2,3,1,6,5 ; L(6) = PSL(2,5) = A_5(6)
6 13 72 ; 1,4,3,6,5,2 1,4,3,2,5,6 4,5,6,1,2,3 ; F_36(6):2 = [S(3)^2]2 = S(3) wr 2
6 14 120 ; 2,3,4,6,5,1 2,1,4,3,6,5 ; L(6):2 = PGL(2,5) = S_5(6)
6 15 360 ; 2,3,4,5,1,6 1,2,3,5,6,4 ; A6
6 16 720 ; 2,3,4,5,6,1 2,1,3,4,5,6 ; S6
7 1 7 ; 2,3,4,5,6,7,1 ; C(7) = 7
7 2 14 ; 2,3,4,5,6,7,1 6,5,4,3,2,1,7 ; D(7) = 7:2
7 3 21 ; 2,3,4,5,6,7,1 2,4,6,1,3,5,7 ; F_21(7) = 7:3
7 4 42 ; 2,3,4,5,6,7,1 3,6,2,5,1,4,7 ; F_42(7) = 7:6
7 5 168 ; 2,3,4,5,6,7,1 2,1,6,4,5,3,7 ; L(7) = L(3,2)
7 6 2520 ; 2,3,4,5,6,7,1 1,2,3,4,6,7,5 ; A7
7 7 5040 ; 2,3,4,5,6,7,1 2,1,3,4,5,6,7 ; S7
8 1 8 ; 2,3,4,5,6,7,8,1 ; C(8)=8
8 2 8 ; 2,3,8,5,6,7,4,1 5,6,7,8,1,2,3,4 ; 4[x]2
8 3 8 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 ; E(8)=2[x]2[x]2
8 4 8 ; 2,3,8,5,6,7,4,1 6,5,4,3,2,1,8,7 ; D_8(8)=[4]2
8 5 8 ; 2,3,8,5,6,7,4,1 7,6,5,2,1,8,3,4 ; Q_8(8)
8 6 16 ; 2,3,4,5,6,7,8,1 6,5,4,3,2,1,8,7 ; D(8)
8 7 16 ; 2,3,4,5,6,7,8,1 5,2,7,4,1,6,3,8 ; 1/2[2^3]4
8 8 16 ; 2,3,4,5,6,7,8,1 3,6,1,4,7,2,5,8 ; 2D_8(8)=[D(4)]2
8 9 16 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 1,2,3,5,4,7,6,8 ; E(8):2=D(4)[x]2
8 10 16 ; 5,2,7,4,1,6,3,8 2,3,8,5,6,7,4,1 ; [2^2]4
8 11 16 ; 5,2,7,4,1,6,3,8 3,4,5,6,7,8,1,2 4,3,6,5,8,7,2,1 ; 1/2[2^3]E(4)=Q_8:2
8 12 24 ; 3,4,5,6,7,8,1,2 3,2,8,5,7,6,4,1 ; 2A_4(8)=[2]A(4)=SL(2,3)
8 13 24 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 2,3,1,6,4,5,7,8 ; E(8):3=A(4)[x]2
8 14 24 ; 3,8,1,6,7,4,5,2 2,3,1,4,6,7,5,8 4,6,7,1,8,2,3,5 ; S(4)[1/2]2=1/2(S_4[x]2)
8 15 32 ; 2,3,4,5,6,7,8,1 5,2,7,4,1,6,3,8 6,5,4,3,2,1,8,7 ; [1/4.cD(4)^2]2
8 16 32 ; 1,6,7,4,5,2,3,8 2,3,4,5,6,7,8,1 ; 1/2[2^4]4
8 17 32 ; 2,3,8,4,5,6,7,1 5,6,7,8,1,2,3,4 ; [4^2]2
8 18 32 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 1,2,3,5,4,7,6,8 1,2,3,6,7,4,5,8 ; E(8):E_4=[2^2]D(4)
8 19 32 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 3,2,1,5,6,7,4,8 ; E(8):4=[1/4.eD(4)^2]2
8 20 32 ; 1,6,7,4,5,2,3,8 2,3,8,5,6,7,4,1 ; [2^3]4
8 21 32 ; 5,2,7,4,1,6,3,8 4,3,2,5,8,7,6,1 3,8,1,6,7,4,5,2 ; 1/2[2^4]E(4)=[1/4.dD(4)^2]2
8 22 32 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 1,3,2,5,4,6,7,8 1,3,2,4,5,7,6,8 ; E(8):D_4=[2^3]2^2
8 23 48 ; 2,3,4,5,6,7,8,1 3,2,8,5,7,6,4,1 ; 2S_4(8)=GL(2,3)
8 24 48 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 2,3,1,6,4,5,7,8 1,3,2,5,4,6,7,8 ; E(8):D_6=S(4)[x]2
8 25 56 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 2,6,4,5,7,3,1,8 ; E(8):7=F_56(8)
8 26 64 ; 2,3,4,5,6,7,8,1 5,2,3,8,1,6,7,4 7,2,5,8,3,6,1,4 ; 1/2[2^4]eD(4)
8 27 64 ; 1,2,3,8,5,6,7,4 2,3,8,5,6,7,4,1 ; [2^4]4
8 28 64 ; 1,6,7,4,5,2,3,8 3,2,1,4,7,6,5,8 2,3,4,5,6,7,8,1 ; 1/2[2^4]dD(4)
8 29 64 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 3,2,1,5,6,7,4,8 3,2,1,4,7,6,5,8 ; E(8):D_8=[2^3]D(4)
8 30 64 ; 1,6,7,4,5,2,3,8 3,2,1,8,7,6,5,4 2,3,8,5,6,7,4,1 ; 1/2[2^4]cD(4)
8 31 64 ; 1,2,3,8,5,6,7,4 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 ; [2^4]E(4)
8 32 96 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 2,3,1,6,4,5,7,8 1,5,4,3,2,6,7,8 ; [2^3]A(4)
8 33 96 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 2,3,1,6,4,5,7,8 1,2,3,6,7,4,5,8 ; E(8):A_4=[1/3.A(4)^2]2=E(4):6
8 34 96 ; 8,3,2,4,5,6,7,1 2,3,1,4,6,7,5,8 5,7,6,8,1,3,2,4 ; 1/2[E(4)^2:S_3]2=E(4)^2:D_6
8 35 128 ; 1,2,3,8,5,6,7,4 3,2,1,4,7,6,5,8 2,3,8,5,6,7,4,1 ; [2^4]D(4)
8 36 168 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 2,6,4,5,7,3,1,8 2,3,1,6,4,5,7,8 ; E(8):F_21
8 37 168 ; 2,3,4,5,6,8,7,1 2,4,6,1,3,5,7,8 6,3,2,5,4,1,8,7 ; L(8)=PSL(2,7)
8 38 192 ; 1,2,3,8,5,6,7,4 8,3,2,5,4,7,6,1 2,3,1,4,6,7,5,8 ; [2^4]A(4)
8 39 192 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 2,3,1,6,4,5,7,8 6,3,5,2,4,1,7,8 ; [2^3]S(4)
8 40 192 ; 5,2,3,8,1,6,7,4 8,3,2,5,4,7,6,1 2,3,1,4,6,7,5,8 1,3,2,8,5,7,6,4 ; 1/2[2^4]S(4)
8 41 192 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 2,3,1,6,4,5,7,8 3,2,1,5,6,7,4,8 ; E(8):S_4=[E(4)^2:S_3]2=E(4)^2:D_12
8 42 288 ; 3,8,1,4,5,6,7,2 2,3,1,4,5,6,7,8 5,6,7,8,1,2,3,4 ; [A(4)^2]2
8 43 336 ; 2,3,4,5,6,8,7,1 3,6,2,5,1,4,7,8 6,3,2,5,4,1,8,7 ; L(8):2=PGL(2,7)
8 44 384 ; 1,2,3,8,5,6,7,4 8,2,3,5,4,6,7,1 2,3,8,5,6,7,4,1 ; [2^4]S(4)
8 45 576 ; 3,8,1,4,5,6,7,2 2,3,1,4,5,6,7,8 8,2,3,5,4,6,7,1 5,6,7,8,1,2,3,4 ; [1/2.S(4)^2]2
8 46 576 ; 3,8,1,4,5,6,7,2 2,3,1,4,5,6,7,8 8,2,3,5,4,6,7,1 5,7,6,8,1,2,3,4 ; 1/2[S(4)^2]2
8 47 1152 ; 2,3,8,4,5,6,7,1 1,3,2,4,5,6,7,8 5,6,7,8,1,2,3,4 ; [S(4)^2]2
8 48 1344 ; 8,3,2,5,4,7,6,1 3,8,1,6,7,4,5,2 5,6,7,8,1,2,3,4 2,6,4,5,7,3,1,8 2,3,1,6,4,5,7,8 2,1,3,4,6,5,7,8 ; E(8):L_7=AL(8)
8 49 20160 ; 2,3,4,5,6,7,1,8 1,2,3,4,5,7,8,6 ; A8
8 50 40320 ; 2,3,4,5,6,7,8,1 2,1,3,4,5,6,7,8 ; S8
9 1 9 ; 2,3,4,5,6,7,8,9,1 ; C(9)=9
9 2 9 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 ; E(9)=3[x]3
9 3 18 ; 2,3,4,5,6,7,8,9,1 8,7,6,5,4,3,2,1,9 ; D(9)=9:2
9 4 18 ; 2,9,4,5,3,7,8,6,1 2,1,3,5,4,6,8,7,9 4,5,6,7,8,9,1,2,3 ; S(3)[x]3
9 5 18 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 2,1,6,8,7,3,5,4,9 ; S(3)[1/2]S(3)=3^2:2
9 6 27 ; 4,8,3,7,2,6,1,5,9 2,3,4,5,6,7,8,9,1 ; 1/3[3^3]3
9 7 27 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 1,2,4,5,3,8,6,7,9 ; E(9):3=[3^2]3
9 8 36 ; 2,9,4,5,3,7,8,6,1 2,1,3,5,4,6,8,7,9 4,5,6,7,8,9,1,2,3 1,2,6,7,8,3,4,5,9 ; S(3)[x]S(3)=E(9):D_4
9 9 36 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 8,4,5,1,6,7,3,2,9 ; E(9):4
9 10 54 ; 4,8,3,7,2,6,1,5,9 2,3,4,5,6,7,8,9,1 8,7,6,5,4,3,2,1,9 ; [3^2]S(3)_6
9 11 54 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 1,2,4,5,3,8,6,7,9 2,1,6,8,7,3,5,4,9 ; E(9):6=1/2[3^2:2]S(3)
9 12 54 ; 1,2,4,5,3,8,6,7,9 4,5,6,7,8,9,1,2,3 1,2,6,7,8,3,4,5,9 ; [3^2]S(3)
9 13 54 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 1,2,4,5,3,8,6,7,9 2,1,5,4,3,7,6,8,9 ; E(9):D_6=[3^2:2]3=[1/2.S(3)^2]3
9 14 72 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 8,4,5,1,6,7,3,2,9 6,3,1,7,4,2,8,5,9 ; M(9)=E(9):Q_8
9 15 72 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 6,3,8,5,2,4,1,7,9 ; E(9):8
9 16 72 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 2,1,5,4,3,7,6,8,9 8,4,3,2,7,6,5,1,9 ; E(9):D_8
9 17 81 ; 2,9,3,4,5,6,7,8,1 4,5,6,7,8,9,1,2,3 ; [3^3]3=3wr3
9 18 108 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 1,2,4,5,3,8,6,7,9 2,1,6,8,7,3,5,4,9 2,1,5,4,3,7,6,8,9 ; E(9):D_12=[3^2:2]S(3)=[1/2.S(3)^2]S(3)
9 19 144 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 6,3,8,5,2,4,1,7,9 2,1,5,4,3,7,6,8,9 ; E(9):2D_8
9 20 162 ; 2,9,3,4,5,6,7,8,1 4,5,6,7,8,9,1,2,3 1,2,6,7,8,3,4,5,9 ; [3^3]S(3)=3wrS(3)
9 21 162 ; 2,9,3,4,5,6,7,8,1 4,5,6,7,8,9,1,2,3 2,1,6,8,7,3,5,4,9 ; 1/2.[3^3:2]S(3)
9 22 162 ; 2,9,3,4,5,6,7,8,1 2,1,3,5,4,6,8,7,9 4,5,6,7,8,9,1,2,3 ; [3^3:2]3
9 23 216 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 8,4,5,1,6,7,3,2,9 1,2,4,5,3,8,6,7,9 ; E(9):2A_4
9 24 324 ; 2,9,3,4,5,6,7,8,1 2,1,3,5,4,6,8,7,9 4,5,6,7,8,9,1,2,3 1,2,6,7,8,3,4,5,9 ; [3^3:2]S(3)
9 25 324 ; 2,9,3,4,5,6,7,8,1 1,2,3,5,4,6,8,7,9 4,5,6,7,8,9,1,2,3 ; [1/2.S(3)^3]3
9 26 432 ; 2,9,4,5,3,7,8,6,1 4,5,6,7,8,9,1,2,3 6,3,8,5,2,4,1,7,9 1,2,4,5,3,8,6,7,9 ; E(9):2S_4
9 27 504 ; 9,3,2,5,4,7,6,8,1 2,4,6,3,1,7,5,8,9 1,5,6,7,2,3,4,9,8 ; L(9)=PSL(2,8)
9 28 648 ; 2,9,3,4,5,6,7,8,1 2,1,3,4,5,6,7,8,9 4,5,6,7,8,9,1,2,3 ; [S(3)^3]3=S(3)wr3
9 29 648 ; 2,9,3,4,5,6,7,8,1 1,2,3,5,4,6,8,7,9 4,5,6,7,8,9,1,2,3 1,2,6,7,8,3,4,5,9 ; [1/2.S(3)^3]S(3)
9 30 648 ; 2,9,3,4,5,6,7,8,1 1,2,3,5,4,6,8,7,9 4,5,6,7,8,9,1,2,3 2,1,6,7,8,3,4,5,9 ; 1/2[S(3)^3]S(3)
9 31 1296 ; 2,9,3,4,5,6,7,8,1 2,1,3,4,5,6,7,8,9 4,5,6,7,8,9,1,2,3 1,2,6,7,8,3,4,5,9 ; [S(3)^3]S(3)=S(3)wrS(3)
9 32 1512 ; 9,3,2,5,4,7,6,8,1 2,4,6,3,1,7,5,8,9 1,5,6,7,2,3,4,9,8 1,4,5,6,7,2,3,8,9 ; L(9):3=P|L(2,8)
9 33 181440 ; 2,3,4,5,6,7,8,9,1 1,2,3,4,5,6,8,9,7 ; A9
9 34 362880 ; 2,3,4,5,6,7,8,9,1 2,1,3,4,5,6,7,8,9 ; S9
10 1 10 ; 2,3,4,5,6,7,8,9,10,1 ; C(10)=5[x]2
10 2 10 ; 3,4,5,6,7,8,9,10,1,2 4,3,2,1,10,9,8,7,6,5 ; D(10)=5:2
10 3 20 ; 2,3,4,5,6,7,8,9,10,1 8,7,6,5,4,3,2,1,10,9 ; D_10(10)=[D(5)]2
10 4 20 ; 3,4,5,6,7,8,9,10,1,2 2,9,6,3,10,7,4,1,8,5 ; 1/2[F(5)]2
10 5 40 ; 2,3,4,5,6,7,8,9,10,1 7,4,1,8,5,2,9,6,3,10 ; F(5)[x]2
10 6 50 ; 1,4,3,6,5,8,7,10,9,2 6,7,8,9,10,1,2,3,4,5 ; [5^2]2
10 7 60 ; 3,4,5,6,7,8,9,10,1,2 9,2,4,3,10,7,6,8,1,5 ; A_5(10)
10 8 80 ; 1,7,3,4,10,6,2,8,9,5 3,4,5,6,7,8,9,10,1,2 ; [2^4]5
10 9 100 ; 1,4,3,6,5,8,7,10,9,2 9,8,7,6,5,4,3,2,1,10 6,7,8,9,10,1,2,3,4,5 ; [1/2.D(5)^2]2
10 10 100 ; 1,4,3,6,5,8,7,10,9,2 6,3,8,1,10,9,2,7,4,5 ; 1/2[D(5)^2]2
10 11 120 ; 3,4,5,6,7,8,9,10,1,2 1,4,3,10,7,6,9,8,5,2 6,7,8,9,10,1,2,3,4,5 ; A(5)[x]2
10 12 120 ; 3,4,5,6,7,8,9,10,1,2 4,7,8,1,10,9,2,3,6,5 ; 1/2[S(5)]2=S_5(10a)
10 13 120 ; 3,4,5,6,7,8,9,10,1,2 2,1,7,4,5,6,3,9,8,10 ; S_5(10d)
10 14 160 ; 1,2,3,4,10,6,7,8,9,5 3,4,5,6,7,8,9,10,1,2 ; [2^5]5
10 15 160 ; 1,7,3,4,10,6,2,8,9,5 3,4,5,6,7,8,9,10,1,2 9,8,7,6,5,4,3,2,1,10 ; [2^4]D(5)
10 16 160 ; 1,7,3,4,10,6,2,8,9,5 3,4,5,6,7,8,9,10,1,2 9,8,7,6,10,4,3,2,1,5 ; 1/2[2^5]D(5)
10 17 200 ; 1,4,3,6,5,8,7,10,9,2 7,4,1,8,5,2,9,6,3,10 6,7,8,9,10,1,2,3,4,5 ; [5^2:4]2
10 18 200 ; 1,4,3,6,5,8,7,10,9,2 7,4,1,8,5,2,9,6,3,10 4,9,2,3,10,7,8,1,6,5 ; [5^2:4]2_2
10 19 200 ; 1,4,3,6,5,8,7,10,9,2 3,4,9,8,5,2,1,6,7,10 6,7,8,9,10,1,2,3,4,5 ; [5^2:4_2]2
10 20 200 ; 1,4,3,6,5,8,7,10,9,2 3,4,9,8,5,2,1,6,7,10 6,3,8,1,10,9,2,7,4,5 ; [5^2:4_2]2_2
10 21 200 ; 1,4,3,6,5,8,7,10,9,2 1,8,3,6,5,4,7,2,9,10 6,7,8,9,10,1,2,3,4,5 ; [D(5)^2]2
10 22 240 ; 3,4,5,6,7,8,9,10,1,2 1,10,3,4,7,6,5,8,9,2 6,7,8,9,10,1,2,3,4,5 ; S(5)[x]2
10 23 320 ; 1,2,3,4,10,6,7,8,9,5 3,4,5,6,7,8,9,10,1,2 9,8,7,6,5,4,3,2,1,10 ; [2^5]D(5)
10 24 320 ; 1,7,3,4,10,6,2,8,9,5 3,4,5,6,7,8,9,10,1,2 7,4,1,8,5,2,9,6,3,10 ; [2^4]F(5)
10 25 320 ; 1,7,3,4,10,6,2,8,9,5 3,4,5,6,7,8,9,10,1,2 7,4,1,8,10,2,9,6,3,5 ; 1/2[2^5]F(5)
10 26 360 ; 2,10,4,5,3,7,8,6,9,1 3,6,2,5,8,1,4,7,9,10 2,1,3,7,8,6,4,5,10,9 ; L(10)=PSL(2,9)
10 27 400 ; 1,4,3,6,5,8,7,10,9,2 1,8,3,6,5,4,7,2,9,10 7,4,1,8,5,2,9,6,3,10 6,7,8,9,10,1,2,3,4,5 ; [1/2.F(5)^2]2
10 28 400 ; 1,4,3,6,5,8,7,10,9,2 1,8,3,6,5,4,7,2,9,10 6,9,8,3,10,7,2,1,4,5 ; 1/2[F(5)^2]2
10 29 640 ; 1,2,3,4,10,6,7,8,9,5 3,4,5,6,7,8,9,10,1,2 7,4,1,8,5,2,9,6,3,10 ; [2^5]F(5)
10 30 720 ; 2,10,4,5,3,7,8,6,9,1 7,5,4,2,6,8,3,1,9,10 2,1,3,7,8,6,4,5,10,9 ; L(10):2=PGL(2,9)
10 31 720 ; 2,10,4,5,3,7,8,6,9,1 3,6,2,5,8,1,4,7,9,10 2,1,3,7,8,6,4,5,10,9 4,8,7,2,3,5,6,1,9,10 ; M(10)=L(10)'2
10 32 720 ; 2,10,4,5,3,7,8,6,9,1 3,6,2,5,8,1,4,7,9,10 2,1,3,7,8,6,4,5,10,9 1,2,6,7,8,3,4,5,9,10 ; S_6(10)=L(10):2
10 33 800 ; 1,4,3,6,5,8,7,10,9,2 1,4,3,8,5,2,7,6,9,10 6,7,8,9,10,1,2,3,4,5 ; [F(5)^2]2
10 34 960 ; 1,7,3,4,10,6,2,8,9,5 3,4,5,6,7,8,9,10,1,2 1,4,3,10,7,6,9,8,5,2 ; [2^4]A(5)
10 35 1440 ; 2,10,4,5,3,7,8,6,9,1 7,5,4,2,6,8,3,1,9,10 2,1,3,7,8,6,4,5,10,9 1,2,6,7,8,3,4,5,9,10 ; L(10).2^2=P|L(2,9)
10 36 1920 ; 1,2,3,4,10,6,7,8,9,5 3,4,5,6,7,8,9,10,1,2 1,4,3,10,7,6,9,8,5,2 ; [2^5]A(5)
10 37 1920 ; 1,7,3,4,10,6,2,8,9,5 3,4,5,6,7,8,9,10,1,2 1,10,3,4,7,6,5,8,9,2 ; [2^4]S(5)
10 38 1920 ; 1,7,3,4,10,6,2,8,9,5 3,4,5,6,7,8,9,10,1,2 1,4,3,2,10,6,9,8,7,5 ; 1/2[2^5]S(5)
10 39 3840 ; 1,2,3,4,10,6,7,8,9,5 3,4,5,6,7,8,9,10,1,2 1,10,3,4,7,6,5,8,9,2 ; [2^5]S(5)
10 40 7200 ; 1,4,3,6,5,8,7,10,9,2 1,4,3,10,5,6,7,8,9,2 6,7,8,9,10,1,2,3,4,5 ; [A(5)^2]2
10 41 14400 ; 1,4,3,6,5,8,7,10,9,2 1,10,3,4,7,6,5,8,9,2 6,7,8,9,10,1,2,3,4,5 ; [1/2.S(5)^2]2=[A(5):2]2
10 42 14400 ; 1,4,3,6,5,8,7,10,9,2 6,5,8,9,10,1,2,3,4,7 ; 1/2[S(5)^2]2
10 43 28800 ; 1,4,3,6,5,8,7,10,9,2 1,10,3,4,5,6,7,8,9,2 6,7,8,9,10,1,2,3,4,5 ; [S(5)^2]2
10 44 1814400 ; 2,3,4,5,6,7,8,9,1,10 1,2,3,4,5,6,7,9,10,8 ; A10
10 45 3628800 ; 2,3,4,5,6,7,8,9,10,1 2,1,3,4,5,6,7,8,9,10 ; S10
11 1 11 ; 2,3,4,5,6,7,8,9,10,11,1 ; C(11)=11
11 2 22 ; 2,3,4,5,6,7,8,9,10,11,1 10,9,8,7,6,5,4,3,2,1,11 ; D(11)=11:2
11 3 55 ; 2,3,4,5,6,7,8,9,10,11,1 3,6,9,1,4,7,10,2,5,8,11 ; F_55(11)=11:5
11 4 110 ; 2,3,4,5,6,7,8,9,10,11,1 2,4,6,8,10,1,3,5,7,9,11 ; F_110(11)=11:10
11 5 660 ; 2,3,4,5,6,7,8,9,10,11,1 1,10,4,3,9,7,6,8,5,2,11 ; L(11)=PSL(2,11)(11)
11 6 7920 ; 2,3,4,5,6,7,8,9,10,11,1 3,6,9,1,4,7,10,2,5,8,11 1,6,9,5,3,10,2,8,4,7,11 ; M(11)
11 7 19958400 ; 2,3,4,5,6,7,8,9,10,11,1 1,2,3,4,5,6,7,8,10,11,9 ; A11
11 8 39916800 ; 2,3,4,5,6,7,8,9,10,11,1 2,1,3,4,5,6,7,8,9,10,11 ; S11
12 1 12 ; 4,5,6,7,8,9,10,11,12,1,2,3 5,6,7,8,9,10,11,12,1,2,3,4 ; C(4)[x]C(3)
12 2 12 ; 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 5,6,7,8,9,10,11,12,1,2,3,4 ; E(4)[x]C(3)=6x2
12 3 12 ; 5,6,7,8,9,10,11,12,1,2,3,4 11,8,9,6,7,4,5,2,3,12,1,10 12,3,2,5,4,7,6,9,8,11,10,1 ; D_6(6)[x]2=1/2[3:2]E(4)
12 4 12 ; 9,4,2,3,1,8,6,7,5,12,10,11 11,9,10,8,3,1,2,12,7,5,6,4 ; A_4(12)
12 5 12 ; 5,6,7,8,9,10,11,12,1,2,3,4 7,8,9,10,11,12,1,2,3,4,5,6 8,1,6,11,4,9,2,7,12,5,10,3 ; 1/2[3:2]4
12 6 24 ; 9,4,2,3,1,8,6,7,5,12,10,11 11,9,10,8,3,1,2,12,7,5,6,4 7,11,12,10,8,9,1,5,6,4,2,3 ; A_4(12)x2
12 7 24 ; 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 12,3,2,5,4,7,6,9,8,11,10,1 ; A_4(6)[x]2=[1/8.2^6]3
12 8 24 ; 2,1,5,6,3,4,9,10,7,8,11,12 3,4,6,7,8,12,10,11,5,2,9,1 ; S_4(12d)
12 9 24 ; 7,2,9,10,5,12,1,8,3,4,11,6 5,6,7,8,9,10,11,12,1,2,3,4 2,1,12,11,10,9,8,7,6,5,4,3 ; 1/2[1/8.2^6]S(3)=S_4(12e)
12 10 24 ; 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; S(3)[x]E(4)
12 11 24 ; 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 ; S(3)[x]C(4)
12 12 24 ; 5,6,7,8,9,10,11,12,1,2,3,4 4,5,6,7,8,9,10,11,12,1,2,3 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[3:2]cD(4)
12 13 24 ; 5,6,7,8,9,10,11,12,1,2,3,4 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[3:2]eD(4)
12 14 24 ; 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 5,6,7,8,9,10,11,12,1,2,3,4 ; D(4)[x]C(3)
12 15 24 ; 5,6,7,8,9,10,11,12,1,2,3,4 1,8,3,10,5,12,7,2,9,4,11,6 7,2,9,4,11,6,1,8,3,10,5,12 2,1,12,11,10,9,8,7,6,5,4,3 ; 1/2[3:2]dD(4)
12 16 36 ; 1,10,3,8,5,2,7,12,9,6,11,4 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [3^2]E(4)
12 17 36 ; 1,10,3,8,5,2,7,12,9,6,11,4 4,5,6,7,8,9,10,11,12,1,2,3 ; [3^2]4
12 18 36 ; 1,6,3,8,5,10,7,12,9,2,11,4 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [3^2]E(4)
12 19 36 ; 1,6,3,8,5,10,7,12,9,2,11,4 4,5,6,7,8,9,10,11,12,1,2,3 ; [3^2]4
12 20 36 ; 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 5,6,7,8,9,10,11,12,1,2,3,4 ; A(4)[x]C(3)
12 21 48 ; 1,2,9,4,5,12,7,8,3,10,11,6 5,6,7,8,9,10,11,12,1,2,3,4 2,1,12,11,10,9,8,7,6,5,4,3 ; 1/2[1/4.2^6]S(3)
12 22 48 ; 2,1,5,6,3,4,9,10,7,8,11,12 3,4,6,7,8,12,10,11,5,2,9,1 9,7,5,10,3,8,2,6,1,4,12,11 ; S_4(12d)x2
12 23 48 ; 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 1,10,11,8,9,6,7,4,5,2,3,12 12,3,2,5,4,7,6,9,8,11,10,1 ; S_4(6d)[x]2=[1/8.2^6]S(3)
12 24 48 ; 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 7,10,11,8,9,12,1,4,5,2,3,6 12,3,2,5,4,7,6,9,8,11,10,1 ; S_4(6c)[x]2
12 25 48 ; 7,2,3,4,5,12,1,8,9,10,11,6 5,6,7,8,9,10,11,12,1,2,3,4 12,3,2,5,4,7,6,9,8,11,10,1 ; 2A_4(6)[x]2=[1/4.2^6]3
12 26 48 ; 9,4,2,3,1,8,6,7,5,12,10,11 11,9,10,8,3,1,2,12,7,5,6,4 7,11,12,10,8,9,1,5,6,4,2,3 4,5,9,1,2,12,10,11,3,7,8,6 ; A_4(12)x2^2
12 27 48 ; 7,11,12,10,8,9,1,5,6,4,2,3 9,4,2,3,1,8,6,7,5,12,10,11 11,9,10,8,3,1,2,12,7,5,6,4 4,3,11,7,6,8,10,9,5,1,12,2 ; [2]S_4(6)_2
12 28 48 ; 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; D(4)[x]S(3)
12 29 48 ; 7,2,9,10,5,12,1,8,3,4,11,6 4,5,6,7,8,9,10,11,12,1,2,3 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/2.4^2]3
12 30 48 ; 1,2,9,4,5,12,7,8,3,10,11,6 5,6,7,8,9,10,11,12,1,2,3,4 8,1,6,11,4,9,2,7,12,5,10,3 ; 1/2[1/4.4^3]S(3)
12 31 48 ; 10,2,6,1,5,9,4,8,12,7,11,3 5,6,7,8,9,10,11,12,1,2,3,4 ; [4^2]3
12 32 48 ; 10,2,12,7,5,9,4,8,6,1,11,3 7,2,9,10,5,12,1,8,3,4,11,6 5,6,7,8,9,10,11,12,1,2,3,4 ; [E(4)^2]3
12 33 60 ; 3,4,5,6,7,8,9,12,1,10,11,2 11,7,6,12,1,8,9,3,2,4,5,10 ; A_5(12)
12 34 72 ; 3,4,5,6,7,8,9,10,11,12,1,2 8,3,2,5,4,7,6,1,12,11,10,9 ; F_36:2(12e)
12 35 72 ; 1,6,3,8,5,10,7,12,9,2,11,4 1,8,3,6,5,4,7,2,9,12,11,10 12,3,2,5,4,7,6,9,8,11,10,1 ; [D_6^2]2=D_6wr2
12 36 72 ; 3,4,5,6,7,8,9,10,11,12,1,2 9,3,2,4,5,7,6,12,1,11,10,8 ; F_36:2(12d)
12 37 72 ; 1,6,3,8,5,10,7,12,9,2,11,4 5,10,3,8,1,6,11,4,9,2,7,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [3^2:2]E(4)
12 38 72 ; 1,6,3,8,5,10,7,12,9,2,11,4 4,5,6,7,8,9,10,11,12,1,2,3 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[3^2:2]cD(4)
12 39 72 ; 1,6,3,8,5,10,7,12,9,2,11,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 ; [3^2:2]4
12 40 72 ; 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 7,8,9,2,3,12,1,10,11,4,5,6 12,3,2,5,4,7,6,9,8,11,10,1 ; F_36(6)[x]2
12 41 72 ; 12,3,2,5,4,7,6,9,8,11,10,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 6,8,9,3,2,12,1,11,10,4,5,7 ; 1/2[(1/4.2^3)^2]F_36(6)
12 42 72 ; 1,6,3,8,5,10,7,12,9,2,11,4 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [3^2]D(4)=6wr2
12 43 72 ; 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; A(4)[x]S(3)
12 44 72 ; 5,6,7,8,9,10,11,12,1,2,3,4 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[3:2]S(4)
12 45 72 ; 4,5,6,7,8,9,10,11,12,1,2,3 10,5,3,4,2,9,7,8,6,1,11,12 5,6,7,8,9,10,11,12,1,2,3,4 ; S(4)[x]C(3)
12 46 72 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 4,11,9,2,8,3,1,10,12,7,5,6 ; [(1/3.3^3):2]4_4
12 47 72 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 2,5,12,11,10,9,4,7,6,1,8,3 4,7,6,5,8,3,10,1,12,11,2,9 ; [(1/3.3^3):2]E(4)_4
12 48 96 ; 7,2,3,4,5,12,1,8,9,10,11,6 5,6,7,8,9,10,11,12,1,2,3,4 1,10,11,8,9,6,7,4,5,2,3,12 12,3,2,5,4,7,6,9,8,11,10,1 ; 2S_4(6)[x]2=[1/4.2^6]S(3)
12 49 96 ; 9,7,5,10,3,8,2,6,1,4,12,11 2,1,5,6,3,4,9,10,7,8,11,12 3,4,6,7,8,12,10,11,5,2,9,1 2,9,11,8,12,4,1,10,7,6,5,3 ; [2]2S_4(6)_2
12 50 96 ; 1,2,9,4,5,12,7,8,3,10,11,6 7,2,9,4,11,6,1,8,3,10,5,12 5,6,7,8,9,10,11,12,1,2,3,4 2,1,12,11,10,9,8,7,6,5,4,3 ; 1/2e[1/16.D(4)^3]S(3)
12 51 96 ; 1,2,9,4,5,12,7,8,3,10,11,6 10,5,12,7,2,9,4,11,6,1,8,3 7,2,9,4,11,6,1,8,3,10,5,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/16.D(4)^3]3
12 52 96 ; 1,2,9,4,5,12,7,8,3,10,11,6 10,5,12,7,2,9,4,11,6,1,8,3 5,6,7,8,9,10,11,12,1,2,3,4 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2c[1/16.D(4)^3]S(3)
12 53 96 ; 7,2,9,10,5,12,1,8,3,4,11,6 4,5,6,7,8,9,10,11,12,1,2,3 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/2.4^2]S(3)
12 54 96 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,3,2,9,8,10,11,5,4,6,7,12 2,1,12,11,10,9,8,7,6,5,4,3 ; [(1/2.2^2)^3]D(6)_4
12 55 96 ; 1,2,9,4,5,12,7,8,3,10,11,6 10,2,6,1,5,9,4,8,12,7,11,3 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/2.4^3]3
12 56 96 ; 1,2,9,4,5,12,7,8,3,10,11,6 10,2,12,7,5,9,4,8,6,1,11,3 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/2.2^6]3
12 57 96 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 2,12,1,7,6,5,4,9,8,10,11,3 ; [(1/2.2^2)^3]A_4(6)_4
12 58 96 ; 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,6,7,9,8,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 ; [2^4]6
12 59 96 ; 12,3,2,4,5,7,6,9,8,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [2^3]A_4(6)
12 60 96 ; 12,3,2,4,5,7,6,9,8,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 1,2,3,10,11,7,6,9,8,4,5,12 ; [1/2[1/2.2^2]^3]2A_4(6)_4
12 61 96 ; 12,3,2,4,5,7,6,9,8,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,8,9,11,10,7,6,2,3,5,4,12 ; [2^3]A_4(6)_4
12 62 96 ; 10,2,6,1,5,9,4,8,12,7,11,3 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [4^2]S(3)
12 63 96 ; 12,3,2,4,5,7,6,9,8,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 2,1,12,5,4,8,9,6,7,11,10,3 ; [1/2[1/2.2^2]^3]S_4(6d)_8b
12 64 96 ; 12,3,2,4,5,7,6,9,8,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 2,1,12,5,4,9,8,7,6,10,11,3 ; [1/2[1/2.2^2]^3]S_4(6d)_8a
12 65 96 ; 12,3,2,4,5,7,6,9,8,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 3,12,1,10,11,8,9,6,7,4,5,2 5,9,8,12,1,11,10,3,2,7,6,4 ; [1/2[1/2.2^2]^3]S_4(6c)_4
12 66 96 ; 12,3,2,4,5,7,6,9,8,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 3,4,5,12,1,8,9,10,11,6,7,2 1,4,5,2,3,7,6,11,10,9,8,12 ; [1/2[1/2.2^2]^3]S_4(6d)_2
12 67 96 ; 10,2,12,7,5,9,4,8,6,1,11,3 7,2,9,10,5,12,1,8,3,4,11,6 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [E(4)^2]S(3)
12 68 96 ; 12,3,2,4,5,7,6,9,8,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 7,10,11,8,9,12,1,4,5,2,3,6 ; [1/2[1/2.2^2]^3]S_4(6c)
12 69 96 ; 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,6,7,9,8,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 11,8,9,6,7,4,5,2,3,12,1,10 ; [2^4]D_6(6)
12 70 108 ; 1,6,7,8,5,10,11,12,9,2,3,4 2,1,12,11,10,9,8,7,6,5,4,3 7,8,9,10,11,12,1,2,3,4,5,6 ; 1/2[3^3:2]E(4)
12 71 108 ; 1,6,7,8,5,10,11,12,9,2,3,4 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [3^3]E(4)
12 72 108 ; 1,6,7,8,5,10,11,12,9,2,3,4 4,5,6,7,8,9,10,11,12,1,2,3 ; [3^3]4
12 73 108 ; 1,6,7,8,5,10,11,12,9,2,3,4 7,8,9,10,11,12,1,2,3,4,5,6 8,1,6,11,4,9,2,7,12,5,10,3 ; 1/2[3^3:2]4
12 74 120 ; 1,4,5,6,7,8,9,10,11,2,3,12 10,7,12,5,4,11,2,9,8,1,6,3 ; S_5(12)
12 75 120 ; 3,4,5,6,7,8,9,12,1,10,11,2 11,8,9,4,5,6,7,2,3,12,1,10 12,3,2,5,4,7,6,9,8,11,10,1 ; L(6)[x]2
12 76 120 ; 12,3,2,5,4,7,6,9,8,11,10,1 1,4,5,6,7,8,9,10,11,2,3,12 1,2,3,10,11,8,9,6,7,4,5,12 2,1,12,11,10,6,7,8,9,5,4,3 ; [2]L(6)_6
12 77 144 ; 1,6,3,8,5,10,7,12,9,2,11,4 1,10,3,8,5,6,7,4,9,2,11,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [S(3)^2]E(4)
12 78 144 ; 12,3,2,5,4,7,6,9,8,11,10,1 3,4,5,6,7,8,9,10,11,12,1,2 3,4,5,10,11,12,1,6,7,8,9,2 1,3,2,4,5,11,10,8,9,7,6,12 ; [2]F_36:2_2{S_3^2}
12 79 144 ; 1,6,3,8,5,10,7,12,9,2,11,4 1,10,3,8,5,6,7,4,9,2,11,12 4,5,6,7,8,9,10,11,12,1,2,3 ; [S(3)^2]4
12 80 144 ; 12,3,2,5,4,7,6,9,8,11,10,1 1,6,7,4,5,10,11,8,9,2,3,12 3,12,1,6,7,8,9,10,11,4,5,2 1,3,2,4,5,11,10,8,9,7,6,12 ; [2]F_36:2_2{3^2:4}
12 81 144 ; 1,6,3,8,5,10,7,12,9,2,11,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [3^2:2]D(4)
12 82 144 ; 12,2,3,5,4,6,7,9,8,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 7,8,9,2,3,12,1,10,11,4,5,6 ; [(1/4.2^3)^2]F_36(6)
12 83 144 ; 4,5,6,7,8,9,10,11,12,1,2,3 10,5,3,4,2,9,7,8,6,1,11,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; S(4)[x]S(3)
12 84 144 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 4,11,9,2,8,3,1,10,12,7,5,6 1,2,4,3,5,10,12,11,9,6,8,7 ; [(1/3.3^3):2]D(4)_4
12 85 144 ; 10,2,12,7,5,9,4,8,6,1,11,3 7,5,6,4,11,9,10,8,3,1,2,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/4E(4)^3:3]3
12 86 192 ; 1,2,9,4,5,12,7,8,3,10,11,6 10,5,12,7,2,9,4,11,6,1,8,3 7,2,9,4,11,6,1,8,3,10,5,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/16.D(4)^3]S(3)
12 87 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 ; [2^5]6
12 88 192 ; 12,2,3,4,5,7,6,8,9,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 3,10,11,6,7,8,9,4,5,12,1,2 ; [2^4]A_4(6)
12 89 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 7,4,5,10,11,8,9,2,3,12,1,6 12,2,3,6,7,4,5,8,9,11,10,1 ; [(1/2.2^2)^3]2A_4(6)_4{n4}
12 90 192 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 5,6,7,8,9,10,11,12,1,2,3,4 ; [E(4)^3]3=E(4)wr3
12 91 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 7,4,5,10,11,8,9,2,3,12,1,6 1,2,3,4,5,7,6,10,11,9,8,12 ; [(1/2.2^2)^3]2A_4(6)_4{n2}
12 92 192 ; 12,2,3,4,5,7,6,8,9,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,8,9,10,11,7,6,2,3,4,5,12 ; [2^4]A_4(6)_4{n4}
12 93 192 ; 12,2,3,4,5,7,6,8,9,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,8,9,10,11,6,7,3,2,4,5,12 ; [2^4]A_4(6)_4{n2}
12 94 192 ; 1,2,6,4,5,9,7,8,12,10,11,3 5,6,7,8,9,10,11,12,1,2,3,4 ; [4^3]3=4wr3
12 95 192 ; 1,2,9,4,5,12,7,8,3,10,11,6 10,2,6,1,5,9,4,8,12,7,11,3 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/2.4^3]S(3)
12 96 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,3,2,10,11,8,9,6,7,4,5,12 ; [(1/2.2^2)^3]S_4(6d)_8
12 97 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 3,12,1,8,9,11,10,4,5,7,6,2 ; [(1/2.2^2)^3]S_4(6c)_4
12 98 192 ; 1,2,9,4,5,12,7,8,3,10,11,6 10,2,6,1,5,9,4,8,12,7,11,3 5,6,7,8,9,10,11,12,1,2,3,4 8,1,6,11,4,9,2,7,12,5,10,3 ; 1/2[4^3]S(3)
12 99 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,2,3,6,7,4,5,10,11,8,9,12 1,3,2,5,4,6,7,10,11,9,8,12 ; [(1/2.2^2)^3]2A_4(6)_2
12 100 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 7,4,5,8,9,10,11,2,3,12,1,6 1,3,2,8,9,11,10,4,5,7,6,12 ; [(1/2.2^2)^3]S_4(6d)_2
12 101 192 ; 1,2,9,4,5,12,7,8,3,10,11,6 10,2,12,7,5,9,4,8,6,1,11,3 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/2.2^6]S(3)
12 102 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 7,4,5,8,9,10,11,2,3,12,1,6 2,12,1,8,9,11,10,5,4,6,7,3 ; [(1/2.2^2)^3]S_4(6c)_2
12 103 192 ; 1,2,12,4,5,9,7,8,6,10,11,3 7,2,9,10,5,12,1,8,3,4,11,6 5,6,7,8,9,10,11,12,1,2,3,4 11,4,9,2,7,12,5,10,3,8,1,6 ; 1/2[E(4)^3]S(3)
12 104 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,2,3,4,5,7,6,10,11,8,9,12 ; [(1/2.2^2)^3]2A_4(6)_8
12 105 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 2,4,5,6,7,8,9,10,11,12,1,3 ; 1/2[2^6]6
12 106 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,7,6,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 11,8,9,6,7,4,5,2,3,12,1,10 ; [2^5]D_6(6)
12 107 192 ; 12,3,2,4,5,6,7,8,9,10,11,1 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,7,6,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 10,8,9,6,7,4,5,2,3,12,1,11 ; 1/2[2^6]D_6
12 108 192 ; 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,6,7,9,8,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 10,9,8,6,7,4,5,2,3,12,1,11 ; 1/2[2^5]D(6)
12 109 192 ; 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,6,7,9,8,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 11,8,9,6,7,4,5,2,3,12,1,10 ; [2^4]D(6)
12 110 192 ; 12,3,2,4,5,7,6,9,8,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 1,10,11,8,9,6,7,4,5,2,3,12 ; [2^3]S_4(6d)
12 111 192 ; 12,3,2,4,5,7,6,9,8,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 3,10,11,6,7,8,9,4,5,12,1,2 1,4,5,2,3,7,6,11,10,9,8,12 ; [2^3]S_4(6)_2
12 112 192 ; 12,3,2,4,5,7,6,9,8,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 3,12,1,10,11,8,9,6,7,4,5,2 1,3,2,10,11,7,6,8,9,4,5,12 ; [1/2[1/2.2^2]^3]2S_4(6)_8
12 113 192 ; 12,3,2,4,5,7,6,9,8,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 3,12,1,10,11,8,9,6,7,4,5,2 1,2,3,10,11,7,6,9,8,4,5,12 ; [1/2[1/2.2^2]^3]2S_4(6)_4
12 114 192 ; 12,3,2,4,5,7,6,9,8,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,10,11,8,9,6,7,4,5,2,3,12 1,4,5,2,3,6,7,11,10,9,8,12 ; [2^3]S_4(6)_4
12 115 192 ; 12,3,2,4,5,7,6,9,8,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,4,5,2,3,7,6,10,11,8,9,12 ; [2^3]S_4(6)_8
12 116 216 ; 1,6,7,8,5,10,11,12,9,2,3,4 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [3^3]D(4)
12 117 216 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [3^3:2]E(4)
12 118 216 ; 1,6,7,8,5,10,11,12,9,2,3,4 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[3^3:2]eD(4)
12 119 216 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 ; [3^3:2]4
12 120 216 ; 1,6,7,8,5,10,11,12,9,2,3,4 4,5,6,7,8,9,10,11,12,1,2,3 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[3^3:2]cD(4)
12 121 216 ; 1,6,7,8,5,10,11,12,9,2,3,4 1,8,3,10,5,12,7,2,9,4,11,6 7,2,9,4,11,6,1,8,3,10,5,12 2,1,12,11,10,9,8,7,6,5,4,3 ; 1/2[3^3:2]dD(4)
12 122 216 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 1,3,4,2,5,7,8,6,9,11,12,10 7,1,6,4,11,9,2,8,3,5,10,12 ; [(1/3.3^3):2]A(4)_4
12 123 240 ; 3,4,5,6,7,8,9,12,1,10,11,2 11,4,5,2,3,8,9,6,7,12,1,10 12,3,2,5,4,7,6,9,8,11,10,1 ; L(6):2[x]2
12 124 240 ; 12,3,2,5,4,7,6,9,8,11,10,1 1,4,5,6,7,8,9,10,11,2,3,12 3,1,12,6,7,5,4,11,10,8,9,2 ; [2]L(6):2_12
12 125 288 ; 1,6,3,8,5,10,7,12,9,2,11,4 1,10,3,8,5,6,7,4,9,2,11,12 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [S(3)^2]D(4)=D(6)wr2
12 126 288 ; 1,8,3,10,5,6,7,2,9,4,11,12 1,6,3,8,5,10,7,12,9,2,11,4 12,3,2,5,4,7,6,9,8,11,10,1 ; [A_4^2]2=A_4wr2
12 127 288 ; 10,2,12,7,5,9,4,8,6,1,11,3 7,5,6,4,11,9,10,8,3,1,2,12 5,6,7,8,9,10,11,12,1,2,3,4 2,1,3,8,10,9,11,4,6,5,7,12 ; [1/4E(4)^3:3]S(3)_2
12 128 288 ; 10,2,12,7,5,9,4,8,6,1,11,3 7,5,6,4,11,9,10,8,3,1,2,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/4E(4)^3:3]S(3)
12 129 288 ; 10,2,12,7,5,9,4,8,6,1,11,3 7,5,6,4,11,9,10,8,3,1,2,12 1,2,3,7,5,9,4,11,6,10,8,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/4E(4)^3:3:2]3
12 130 324 ; 1,2,3,8,5,6,7,12,9,10,11,4 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [3^4]E(4)=3wrE(4)
12 131 324 ; 1,2,3,8,5,6,7,12,9,10,11,4 4,5,6,7,8,9,10,11,12,1,2,3 ; [3^4]4=3wr4
12 132 324 ; 1,6,7,8,5,10,11,12,9,2,3,4 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 7,5,6,8,11,9,10,12,3,1,2,4 ; 1/3[3^4]A(4)
12 133 324 ; 1,6,7,8,5,10,11,12,9,2,3,4 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 ; [3^3]A(4)
12 134 384 ; 12,2,3,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 ; [2^6]6=2wr6
12 135 384 ; 12,2,3,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 11,8,9,6,7,4,5,2,3,12,1,10 ; [2^6]D_6=2wrD_6(6)
12 136 384 ; 12,3,2,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 11,8,9,6,7,4,5,2,3,12,1,10 ; [2^5]D(6)
12 137 384 ; 12,2,3,4,5,7,6,8,9,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 1,10,11,8,9,6,7,4,5,2,3,12 ; [2^4]S_4(6d)
12 138 384 ; 12,3,2,4,5,6,7,8,9,10,11,1 11,8,9,2,3,12,1,6,7,4,5,10 1,2,3,8,9,10,11,4,5,6,7,12 1,2,3,10,11,9,8,7,6,4,5,12 ; [(1/2.2^2)^3]2S_4(6)_4
12 139 384 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [E(4)^3]S(3)=E(4)wrS(3)
12 140 384 ; 12,2,3,4,5,7,6,8,9,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,10,11,8,9,6,7,4,5,2,3,12 1,4,5,2,3,6,7,11,10,9,8,12 ; [2^4]S_4(6d)_4
12 141 384 ; 1,2,6,4,5,9,7,8,12,10,11,3 7,2,9,4,11,6,1,8,3,10,5,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/4.cD(4)^3]3
12 142 384 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 7,2,9,4,11,6,1,8,3,10,5,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/4.eD(4)^3]3
12 143 384 ; 12,2,3,4,5,7,6,8,9,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 1,2,3,10,11,7,6,8,9,4,5,12 ; [2^4]2A_4(6)_4
12 144 384 ; 12,3,2,4,5,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [2^5]A_4(6)
12 145 384 ; 12,3,2,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 10,8,9,6,7,4,5,2,3,12,1,11 ; 1/2[2^6]D(6)
12 146 384 ; 12,2,3,4,5,7,6,8,9,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 7,10,11,8,9,12,1,4,5,2,3,6 ; [2^4]S_4(6c)
12 147 384 ; 12,3,2,4,5,6,7,8,9,10,11,1 11,8,9,2,3,12,1,6,7,4,5,10 1,3,2,10,11,8,9,6,7,4,5,12 ; [(1/2.2^2)^3]2S_4(6)_8
12 148 384 ; 1,2,12,4,5,9,7,8,6,10,11,3 5,6,7,8,9,10,11,12,1,2,3,4 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[1/4.eD(4)^3]S(3)
12 149 384 ; 12,2,3,4,5,7,6,8,9,10,11,1 12,3,2,5,4,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 3,12,1,10,11,8,9,6,7,4,5,2 1,8,9,10,11,7,6,2,3,4,5,12 ; [2^4]S_4(6c)_4
12 150 384 ; 1,2,6,4,5,9,7,8,12,10,11,3 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [4^3]S(3)=4wrS(3)
12 151 384 ; 1,2,6,4,5,9,7,8,12,10,11,3 5,6,7,8,9,10,11,12,1,2,3,4 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[1/4.cD(4)^3]S(3)
12 152 384 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,2,3,8,9,10,11,6,7,4,5,12 1,3,2,8,9,11,10,4,5,7,6,12 ; [(1/2.2^2)^3]2S_4(6)_2{S_4(6c)}
12 153 384 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 3,12,1,8,9,10,11,6,7,4,5,2 2,12,1,6,7,5,4,10,11,9,8,3 ; [(1/2.2^2)^3]2S_4(6)_2{S_4(6d)}
12 154 384 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 3,12,1,10,11,8,9,6,7,4,5,2 1,3,2,8,9,10,11,4,5,6,7,12 ; [2^5]D(6)_2t
12 155 384 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,6,7,8,9,10,11,12,1,2,3,4 1,2,3,8,9,10,11,4,5,6,7,12 2,12,1,10,11,8,9,7,6,5,4,3 ; [2^5]D(6)_2i
12 156 432 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [3^3:2]D(4)
12 157 432 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 4,11,9,2,8,3,1,10,12,7,5,6 1,3,4,2,5,7,8,6,9,11,12,10 ; [(1/3.3^3):2]S(4)_4
12 158 576 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 7,8,9,10,11,12,1,2,3,4,5,6 ; [2^5]F_18(6)
12 159 576 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,6,7,4,5,10,11,8,9,2,3,12 2,12,1,10,11,8,9,7,6,5,4,3 ; [2^5]F_18(6)_2
12 160 576 ; 1,8,3,10,5,6,7,2,9,4,11,12 1,6,3,8,5,10,7,12,9,2,11,4 7,10,11,8,9,12,1,4,5,2,3,6 12,11,2,9,4,1,6,5,8,3,10,7 ; 1/2[S_4(6c)^2]2
12 161 576 ; 1,8,3,10,5,6,7,2,9,4,11,12 1,6,3,8,5,10,7,12,9,2,11,4 7,10,11,8,9,12,1,4,5,2,3,6 12,3,2,5,4,7,6,9,8,11,10,1 ; [1/2.S_4(6c)^2]2
12 162 576 ; 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,6,7,9,8,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 7,8,9,2,3,12,1,10,11,4,5,6 ; [2^4]F_36(6)
12 163 576 ; 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,6,7,9,8,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 7,8,9,10,11,12,1,2,3,4,5,6 ; [2^4]F_18(6):2
12 164 576 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,8,6,7,5,12,10,11,9,4,2,3 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/9.A(4)^3]3
12 165 576 ; 10,2,12,7,5,9,4,8,6,1,11,3 7,5,6,4,11,9,10,8,3,1,2,12 1,2,3,7,5,9,4,11,6,10,8,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/4E(4)^3:3:2]3
12 166 576 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,8,6,7,5,12,10,11,9,4,2,3 3,10,11,12,1,2,6,4,5,9,7,8 ; [1/9.A(4)^3]3_3
12 167 648 ; 1,2,3,8,5,6,7,12,9,10,11,4 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [3^4]D(4)=3wrD(4)
12 168 648 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [3^4:2]E(4)
12 169 648 ; 1,2,3,8,5,6,7,12,9,10,11,4 4,5,6,7,8,9,10,11,12,1,2,3 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[3^4:2]cD(4)
12 170 648 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 ; [3^4:2]4
12 171 648 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,2,11,12,5,10,3,4,1,6 ; [3^4:2]E(4)_2
12 172 648 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 10,5,12,7,2,9,4,11,6,1,8,3 7,4,9,2,11,12,1,10,3,8,5,6 ; 1/2[3^4:2^2]E(4)
12 173 648 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 4,1,6,7,8,9,10,11,12,5,2,3 ; [3^4:2]4_4
12 174 648 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 10,1,12,7,2,9,8,11,6,5,4,3 7,8,9,2,11,12,5,10,3,4,1,6 ; [3^4:2]E(4)_4
12 175 648 ; 1,6,7,8,5,10,11,12,9,2,3,4 4,5,6,7,8,9,10,11,12,1,2,3 10,5,3,4,2,9,7,8,6,1,11,12 ; [3^3]S(4)
12 176 648 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 ; [3^3:2]A(4)
12 177 648 ; 1,6,7,8,5,10,11,12,9,2,3,4 10,5,12,7,2,9,4,11,6,1,8,3 1,2,8,7,9,10,4,3,5,6,12,11 1,7,6,8,9,3,2,4,5,11,10,12 ; [3^3]S(4)_6
12 178 648 ; 1,6,7,8,5,10,11,12,9,2,3,4 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[3^3:2]S(4)
12 179 660 ; 2,3,4,5,6,7,8,9,10,12,11,1 10,5,7,8,2,9,3,4,6,1,12,11 ; L(2,11)
12 180 720 ; 3,4,5,12,1,6,7,8,9,10,11,2 1,4,5,6,7,8,9,10,11,2,3,12 12,3,2,5,4,7,6,9,8,11,10,1 ; A(6)[x]2
12 181 720 ; 3,4,5,12,1,6,9,8,11,10,7,2 7,4,9,6,1,8,3,10,5,2,11,12 12,3,4,5,2,11,10,9,6,7,8,1 ; M_10(12)=[A_6[1/360]{M_10}A_6]2_2
12 182 720 ; 3,4,5,12,1,6,9,8,11,10,7,2 7,4,9,6,1,8,3,10,5,2,11,12 12,3,2,11,10,9,8,7,6,5,4,1 ; PGL(2,9)(12)=[A_6[1/360]{M_10}A_6]2
12 183 720 ; 3,4,5,12,1,6,7,8,9,10,11,2 1,4,5,6,7,8,9,10,11,2,3,12 12,3,2,5,4,7,6,11,10,9,8,1 ; S_6(12)
12 184 768 ; 12,3,2,4,5,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 1,10,11,8,9,6,7,4,5,2,3,12 ; [2^5]S_4(6d)
12 185 768 ; 1,2,6,4,5,9,7,8,12,10,11,3 7,2,9,4,11,6,1,8,3,10,5,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/4.cD(4)^3]S(3)
12 186 768 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 7,2,9,4,11,6,1,8,3,10,5,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/4.eD(4)^3]S(3)
12 187 768 ; 12,3,2,4,5,6,7,8,9,10,11,1 7,2,3,4,5,12,1,8,9,10,11,6 5,6,7,8,9,10,11,12,1,2,3,4 ; [2^5]2A_4(6)
12 188 768 ; 12,2,3,4,5,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [2^6]A_4=2wrA_4(6)
12 189 768 ; 1,2,6,4,5,9,7,8,12,10,11,3 7,2,9,4,5,6,1,8,3,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/2.cD(4)^3]3
12 190 768 ; 12,3,2,4,5,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 12,10,11,8,9,6,7,4,5,2,3,1 ; 1/2[2^6]S_4(6d)
12 191 768 ; 12,3,2,4,5,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 7,10,11,8,9,12,1,4,5,2,3,6 ; [2^5]S_4(6c)
12 192 768 ; 12,3,2,4,5,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 6,10,11,8,9,12,1,4,5,2,3,7 ; 1/2[2^6]S_4(6c)
12 193 768 ; 12,2,3,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,10,11,12,1,2 11,8,9,6,7,4,5,2,3,12,1,10 ; [2^6]D(6)=2wrD(6)
12 194 972 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 ; [3^4]A(4)=3wrA(4)
12 195 1152 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 7,8,9,10,11,12,1,2,3,4,5,6 ; [2^5]F_18(6):2
12 196 1152 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 3,4,5,6,7,8,9,10,11,12,1,2 1,3,2,8,9,10,11,4,5,6,7,12 ; [2^5]F_18:2_2
12 197 1152 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 6,8,9,10,11,12,1,2,3,4,5,7 ; 1/2[2^6]F_18:2
12 198 1152 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 6,8,9,2,3,12,1,10,11,4,5,7 ; 1/2[2^6]F_36
12 199 1152 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 7,8,9,2,3,12,1,10,11,4,5,6 ; [2^5]F_36(6)
12 200 1152 ; 1,8,3,10,5,6,7,2,9,4,11,12 1,6,3,8,5,10,7,12,9,2,11,4 1,10,3,8,5,12,7,4,9,2,11,6 12,3,2,5,4,7,6,9,8,11,10,1 ; [S_4(6c)^2]2=S_4(6c)wr2
12 201 1152 ; 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,6,7,9,8,10,11,1 3,4,5,10,11,12,1,6,7,8,9,2 1,6,7,4,5,10,11,8,9,2,3,12 1,2,3,4,5,10,11,9,8,6,7,12 ; [2^4]F_36:2_4
12 202 1152 ; 12,2,3,5,4,6,7,8,9,10,11,1 12,2,3,4,5,6,7,9,8,10,11,1 3,4,5,10,11,12,1,6,7,8,9,2 1,6,7,4,5,10,11,8,9,2,3,12 1,6,7,8,9,2,3,4,5,10,11,12 1,3,2,4,5,10,11,9,8,6,7,12 ; [2^4]F_36:2_2
12 203 1152 ; 1,8,3,10,5,6,7,2,9,4,11,12 1,6,3,8,5,10,7,12,9,2,11,4 1,10,3,8,5,6,7,4,9,2,11,12 12,3,2,5,4,7,6,9,8,11,10,1 ; [S_4(6d)^2]2=S_4(6d)wr2
12 204 1152 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,8,6,7,5,12,10,11,9,4,2,3 5,6,7,8,9,10,11,12,1,2,3,4 2,1,3,8,10,9,11,4,6,5,7,12 ; [1/9.A(4)^3]S(3)_2
12 205 1152 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,8,6,7,5,12,10,11,9,4,2,3 10,5,3,4,2,9,7,8,6,1,11,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [E(4)^3:3:2]3
12 206 1152 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,8,6,7,5,12,10,11,9,4,2,3 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/9.A(4)^3]S(3)
12 207 1152 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,8,6,7,5,12,10,11,9,4,2,3 2,1,3,11,7,9,5,10,6,8,4,12 3,2,1,12,5,10,9,11,7,6,8,4 ; [1/9.A(4)^3]S(3)_6
12 208 1152 ; 1,2,3,4,5,12,7,8,9,10,11,6 1,6,3,8,5,10,7,12,9,2,11,4 12,3,2,5,4,7,6,9,8,11,10,1 ; [2A_4^2]2=2A4wr2=2wrF_18(6)
12 209 1296 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 7,10,9,8,11,6,1,4,3,2,5,12 ; 1/2[3^4:2^2]cD(4)
12 210 1296 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [3^4:2^2]E(4)
12 211 1296 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 4,5,6,7,8,9,10,11,12,1,2,3 ; [3^4:2^2]4
12 212 1296 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 2,5,12,7,10,9,8,11,6,1,4,3 1,3,2,4,9,11,10,8,5,7,6,12 ; [3^4:2]D(4)_8
12 213 1296 ; 1,6,7,8,5,10,11,12,9,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 10,5,3,4,2,9,7,8,6,1,11,12 ; [3^3:2]S(4)
12 214 1296 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 7,8,9,2,3,12,1,10,11,4,5,6 12,3,2,5,4,7,6,9,8,11,10,1 ; [1/2.F_36^2]2
12 215 1296 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 7,8,9,2,3,12,1,10,11,4,5,6 12,9,2,3,4,1,6,11,8,5,10,7 ; 1/2[F_36^2]2
12 216 1296 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 7,8,9,10,11,12,1,2,3,4,5,6 1,3,2,4,9,11,10,8,5,7,6,12 ; [3^4:2]D(4)_4
12 217 1296 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [3^4:2]D(4)
12 218 1320 ; 2,3,4,5,6,7,8,9,10,12,11,1 10,5,7,8,2,9,3,4,6,1,12,11 2,4,6,8,10,1,3,5,7,9,11,12 ; PGL(2,11)
12 219 1440 ; 3,12,1,4,5,6,7,8,9,10,11,2 3,4,5,6,7,8,9,10,11,12,1,2 12,3,2,5,4,7,6,9,8,11,10,1 ; S(6)[x]2
12 220 1440 ; 3,4,5,12,1,6,9,8,11,10,7,2 7,4,9,6,1,8,3,10,5,2,11,12 9,12,7,4,11,6,3,8,1,10,5,2 12,3,2,11,10,9,8,7,6,5,4,1 ; M_10.2(12)=A_6.E_4(12)=[S_6[1/720]{M_10}S_6]2
12 221 1536 ; 1,2,6,4,5,9,7,8,12,10,11,3 7,2,9,4,5,6,1,8,3,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/2.cD(4)^3]S(3)
12 222 1536 ; 1,2,6,4,5,9,7,8,12,10,11,3 1,2,9,4,5,6,7,8,3,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [D(4)^3]3=D(4)wr3
12 223 1536 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 7,2,9,4,5,6,1,8,3,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2e[D(4)^3]S(3)
12 224 1536 ; 12,2,3,4,5,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 7,10,11,8,9,12,1,4,5,2,3,6 ; [2^6]S_4(6c)=2wrS_4(6c)
12 225 1536 ; 1,2,6,4,5,9,7,8,12,10,11,3 7,2,9,4,5,6,1,8,3,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2c[D(4)^3]S(3)
12 226 1536 ; 12,3,2,4,5,6,7,8,9,10,11,1 7,2,3,4,5,12,1,8,9,10,11,6 5,6,7,8,9,10,11,12,1,2,3,4 1,10,11,8,9,6,7,4,5,2,3,12 ; [2^5]2S_4(6)
12 227 1536 ; 12,2,3,4,5,6,7,8,9,10,11,1 1,8,9,10,11,6,7,2,3,4,5,12 5,6,7,8,9,10,11,12,1,2,3,4 1,10,11,8,9,6,7,4,5,2,3,12 ; [2^6]S_4(6d)=2wrS_4(6d)
12 228 1728 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,2,6,10,5,12,4,8,9,7,11,3 5,6,10,8,9,4,11,12,1,2,3,7 ; 1/3[A(4)^3]3
12 229 1728 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,2,6,10,5,12,4,8,9,7,11,3 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/3.A(4)^3]3
12 230 1920 ; 12,3,2,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,12,1,10,11,2 11,8,9,4,5,6,7,2,3,12,1,10 ; [2^5]L(6)
12 231 1944 ; 1,2,3,8,5,6,7,12,9,10,11,4 4,5,6,7,8,9,10,11,12,1,2,3 10,5,3,4,2,9,7,8,6,1,11,12 ; [3^4]S(4)=3wrS(4)
12 232 1944 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 7,5,6,4,11,9,10,8,3,1,2,12 1,8,6,11,5,12,2,7,9,4,10,3 ; [3^4:2]A(4)_4
12 233 1944 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 11,10,9,8,7,6,5,4,3,2,1,12 ; 1/2[3^4:2]S(4)
12 234 1944 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 ; [3^4:2]A(4)
12 235 2304 ; 12,3,2,4,5,6,7,8,9,10,11,1 1,6,7,4,5,10,11,8,9,2,3,12 3,4,5,6,7,8,9,10,11,12,1,2 1,6,7,8,9,2,3,4,5,10,11,12 1,2,3,4,5,10,11,9,8,6,7,12 ; [2^5]F_36:2_2{S_3^2,t}
12 236 2304 ; 12,3,2,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,2,3,8,9,6,7,4,5,10,11,12 7,8,9,10,11,12,1,2,3,4,5,6 ; [2^5]F_36(6):2
12 237 2304 ; 12,3,2,4,5,6,7,8,9,10,11,1 1,6,7,4,5,10,11,8,9,2,3,12 1,2,3,8,9,6,7,4,5,10,11,12 3,4,5,6,7,12,1,10,11,9,8,2 ; [2^5]F_36:2_2{S_3^2,i}
12 238 2304 ; 12,3,2,4,5,6,7,8,9,10,11,1 1,6,7,4,5,10,11,8,9,2,3,12 3,12,1,6,7,8,9,10,11,4,5,2 1,2,3,4,5,10,11,9,8,6,7,12 ; [2^5]F_36:2_2{3^2:4}
12 239 2304 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,8,6,7,5,12,10,11,9,4,2,3 10,5,3,4,2,9,7,8,6,1,11,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [E(4)^3:3:2]3
12 240 2304 ; 12,2,3,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 7,8,9,10,11,12,1,2,3,4,5,6 ; [2^6]F_18:2=2wrF_18(6):2
12 241 2304 ; 12,2,3,4,5,6,7,8,9,10,11,1 5,2,3,8,9,6,7,12,1,10,11,4 1,10,11,8,9,6,7,4,5,2,3,12 7,8,9,2,3,12,1,10,11,4,5,6 ; [2^6]F_36=2wrF_36(6)
12 242 2592 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,11,4,9,10,7,12 1,10,3,8,5,6,7,4,9,2,11,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [3^4:2^3]E(4)
12 243 2592 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 10,5,12,7,2,9,4,11,6,1,8,3 7,2,9,4,11,10,1,8,3,6,5,12 ; [3^4:2^2]D(4)_4
12 244 2592 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 7,8,9,10,11,12,1,2,3,4,5,6 4,1,6,11,8,9,2,7,12,5,10,3 ; 1/2[S(3)^4]4
12 245 2592 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,11,4,9,10,7,12 4,5,6,7,8,9,10,11,12,1,2,3 ; [3^4:2^3]4
12 246 2592 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,2,11,12,1,10,3,4,5,6 ; 1/2[S(3)^4]E(4)
12 247 2592 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 4,5,6,7,8,9,10,11,12,1,2,3 2,1,12,7,10,9,4,11,6,5,8,3 ; [3^4:2^2]D(4)_2
12 248 2592 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [3^4:2^2]D(4)
12 249 2592 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 1,8,3,2,5,12,7,10,9,4,11,6 12,3,2,5,4,7,6,9,8,11,10,1 ; [F_36^2]2=F_36wr2
12 250 3072 ; 1,2,6,4,5,9,7,8,12,10,11,3 1,2,9,4,5,6,7,8,3,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [D(4)^3]S(3)=D(4)wrS(3)
12 251 3456 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,2,6,10,5,12,4,8,9,7,11,3 5,6,7,8,9,10,11,12,1,2,3,4 5,7,3,8,1,9,2,4,6,11,10,12 ; [1/3.A(4)^3]S(3)_2
12 252 3456 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,2,6,10,5,12,4,8,9,7,11,3 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/3.A(4)^3]S(3)
12 253 3456 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 10,2,6,4,5,9,1,8,3,7,11,12 1,11,6,4,5,3,10,8,9,7,2,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [E(4)^3:3^2:2]3
12 254 3456 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 1,2,6,10,5,12,4,8,9,7,11,3 6,2,7,12,5,1,3,11,10,9,8,4 5,7,3,8,1,9,2,4,6,11,10,12 ; [1/3.A(4)^3]S(3)_6
12 255 3840 ; 12,2,3,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,12,1,10,11,2 11,8,9,4,5,6,7,2,3,12,1,10 ; [2^6]L(6)=2wrL(6)
12 256 3840 ; 12,3,2,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,12,1,10,11,2 10,4,5,2,3,8,9,6,7,12,1,11 ; 1/2[2^6]L(6):2
12 257 3840 ; 12,3,2,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,12,1,10,11,2 11,4,5,2,3,8,9,6,7,12,1,10 ; [2^5]L(6):2
12 258 3888 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 4,5,6,7,8,9,10,11,12,1,2,3 10,5,3,4,2,9,7,8,6,1,11,12 ; [3^4:2]S(4)
12 259 3888 ; 1,2,3,8,5,6,7,12,9,10,11,4 5,10,3,8,1,6,11,4,9,2,7,12 7,5,6,4,11,9,10,8,3,1,2,12 1,2,12,7,5,10,4,11,9,6,8,3 ; [3^4:2]S(4)_8
12 260 4608 ; 1,2,3,4,5,12,7,8,9,10,11,6 1,6,3,8,5,10,7,12,9,2,11,4 1,10,3,8,5,6,7,4,9,2,11,12 12,3,2,5,4,7,6,9,8,11,10,1 ; [2S_4^2]2=2S_4wr2
12 261 5184 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,7,4,9,10,11,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 ; [S(3)^4]E(4)=S(3)wrE(4)
12 262 5184 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 1,8,3,10,5,12,7,2,9,4,11,6 7,2,9,4,11,6,1,8,3,10,5,12 4,1,6,11,8,9,2,7,12,5,10,3 ; 1/2[S(3)^4]dD(4)
12 263 5184 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 4,5,6,7,8,9,10,11,12,1,2,3 7,10,9,8,11,6,5,4,3,2,1,12 ; 1/2[S(3)^4]cD(4)
12 264 5184 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,7,4,9,10,11,12 4,5,6,7,8,9,10,11,12,1,2,3 ; [S(3)^4]4=S(3)wr4
12 265 5184 ; 1,2,6,4,5,12,7,8,9,10,11,3 1,2,6,4,5,9,7,8,3,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [A(4)^3]3=A(4)wr3
12 266 5184 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 10,5,12,7,2,9,4,11,6,1,8,3 7,8,9,10,11,12,1,2,3,4,5,6 7,10,9,8,11,6,5,4,3,2,1,12 ; 1/2[S(3)^4]eD(4)
12 267 5184 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,11,4,9,10,7,12 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [3^4:2^3]D(4)
12 268 6912 ; 1,2,12,4,5,9,7,8,6,10,11,3 1,2,9,4,5,12,7,8,3,10,11,6 10,2,6,4,5,9,1,8,3,7,11,12 1,11,6,4,5,3,10,8,9,7,2,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [E(4)^3:3^2:2]S(3)
12 269 7200 ; 1,4,3,6,5,8,7,12,9,10,11,2 1,8,3,4,5,6,7,2,9,12,11,10 12,3,2,5,4,7,6,9,8,11,10,1 ; [L(6)^2]2=L(6)wr2
12 270 7680 ; 12,2,3,4,5,6,7,8,9,10,11,1 3,4,5,6,7,8,9,12,1,10,11,2 11,4,5,2,3,8,9,6,7,12,1,10 ; [2^6]L(6):2=2wrL(6):2
12 271 7776 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,11,4,9,10,7,12 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 ; [3^4:2^3]A(4)
12 272 7920 ; 7,11,10,2,9,12,3,4,6,5,8,1 6,7,9,5,11,3,12,2,1,4,8,10 ; M_11(12)
12 273 10368 ; 1,2,6,4,5,12,7,8,9,10,11,3 1,2,6,4,5,9,7,8,3,10,11,12 1,2,12,7,5,6,4,11,9,10,8,3 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/4.S(4)^3]3
12 274 10368 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,7,4,9,10,11,12 4,5,6,7,8,9,10,11,12,1,2,3 7,2,9,4,11,6,1,8,3,10,5,12 ; [S(3)^4]D(4)=S(3)wrD(4)
12 275 10368 ; 1,2,6,4,5,12,7,8,9,10,11,3 1,2,6,4,5,9,7,8,3,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [A(4)^3]S(3)=A(4)wrS(3)
12 276 10368 ; 1,2,6,4,5,12,7,8,9,10,11,3 1,2,6,4,5,9,7,8,3,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,12,11,1,6,8,7,9,2,4,3 ; 1/2[1/4.S(4)^3]S(3)
12 277 11520 ; 12,3,2,4,5,6,7,8,9,10,11,1 3,4,5,12,1,6,7,8,9,10,11,2 1,4,5,6,7,8,9,10,11,2,3,12 ; [2^5]A(6)
12 278 14400 ; 1,4,3,6,5,8,7,12,9,10,11,2 11,4,5,2,3,8,9,6,7,12,1,10 12,5,2,3,4,9,6,7,8,1,10,11 ; 1/2[(L(6):2)^2]2
12 279 14400 ; 1,4,3,6,5,8,7,12,9,10,11,2 11,4,5,2,3,8,9,6,7,12,1,10 12,3,2,5,4,7,6,9,8,11,10,1 ; [1/2.(L(6):2)^2]2
12 280 15552 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,7,4,9,10,11,12 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 ; [S(3)^4]A(4)=S(3)wrA(4)
12 281 15552 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,11,4,9,10,7,12 4,5,6,7,8,9,10,11,12,1,2,3 1,11,6,4,5,3,10,8,9,7,2,12 ; [3^4:2^3]S(4)
12 282 15552 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,10,3,8,5,6,7,4,9,2,11,12 1,8,6,7,5,12,10,11,9,4,2,3 7,5,6,4,11,9,10,8,3,1,2,12 7,10,9,8,11,6,5,4,3,2,1,12 ; 1/2[S(3)^4]S(4)
12 283 20736 ; 1,2,6,4,5,12,7,8,9,10,11,3 1,2,6,4,5,9,7,8,3,10,11,12 1,2,12,7,5,6,4,11,9,10,8,3 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/4.S(4)^3]S(3)
12 284 20736 ; 1,2,6,4,5,12,7,8,9,10,11,3 1,2,6,4,5,9,7,8,3,10,11,12 1,2,12,7,5,6,4,8,9,10,11,3 5,6,7,8,9,10,11,12,1,2,3,4 ; [1/2.S(4)^3]3
12 285 23040 ; 12,3,2,4,5,6,7,8,9,10,11,1 3,12,1,4,5,6,7,8,9,10,11,2 3,4,5,6,7,8,9,10,11,12,1,2 ; [2^5]S(6)
12 286 23040 ; 12,2,3,4,5,6,7,8,9,10,11,1 3,4,5,12,1,6,7,8,9,10,11,2 1,4,5,6,7,8,9,10,11,2,3,12 ; [2^6]A(6)=2wrA(6)
12 287 23040 ; 12,3,2,4,5,6,7,8,9,10,11,1 3,4,5,12,1,6,7,8,9,10,11,2 1,4,5,6,7,8,9,10,11,2,3,12 2,12,1,4,5,6,7,8,9,10,11,3 ; 1/2[2^6]S(6)
12 288 28800 ; 1,4,3,6,5,8,7,12,9,10,11,2 1,4,3,2,5,8,7,6,9,12,11,10 12,3,2,5,4,7,6,9,8,11,10,1 ; [(L(6):2)^2]2=L(6):2wr2
12 289 31104 ; 1,2,3,8,5,6,7,12,9,10,11,4 1,2,3,8,5,6,7,4,9,10,11,12 4,5,6,7,8,9,10,11,12,1,2,3 10,5,3,4,2,9,7,8,6,1,11,12 ; [S(3)^4]S(4)=S(3)wrS(4)
12 290 41472 ; 1,2,6,4,5,12,7,8,9,10,11,3 1,2,6,4,5,9,7,8,3,10,11,12 1,2,12,7,5,6,4,8,9,10,11,3 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [1/2.S(4)^3]S(3)
12 291 41472 ; 1,2,6,4,5,12,7,8,9,10,11,3 1,2,6,4,5,9,7,8,3,10,11,12 10,2,3,4,5,9,7,8,6,1,11,12 5,6,7,8,9,10,11,12,1,2,3,4 2,1,3,8,10,9,11,4,6,5,7,12 ; 1/2[S(4)^3]S(3)
12 292 41472 ; 1,2,6,4,5,9,7,8,12,10,11,3 1,2,3,4,5,9,7,8,6,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 ; [S(4)^3]3=S(4)wr3
12 293 46080 ; 12,2,3,4,5,6,7,8,9,10,11,1 3,12,1,4,5,6,7,8,9,10,11,2 3,4,5,6,7,8,9,10,11,12,1,2 ; [2^6]S(6)=2wrS(6)
12 294 82944 ; 1,2,6,4,5,9,7,8,12,10,11,3 1,2,3,4,5,9,7,8,6,10,11,12 5,6,7,8,9,10,11,12,1,2,3,4 5,10,3,8,1,6,11,4,9,2,7,12 ; [S(4)^3]S(3)=S(4)wrS(3)
12 295 95040 ; 11,3,4,1,8,7,5,12,9,10,2,6 9,4,3,1,12,10,7,2,5,6,8,11 ; M(12)
12 296 259200 ; 1,4,3,12,5,6,7,8,9,10,11,2 1,4,3,6,5,8,7,10,9,2,11,12 12,3,2,5,4,7,6,9,8,11,10,1 ; [A(6)^2]2=A(6)wr2
12 297 518400 ; 1,4,3,6,5,8,7,10,9,2,11,12 1,4,3,12,5,6,7,8,9,10,11,2 3,12,1,4,5,6,7,8,9,10,11,2 12,3,2,5,4,7,6,9,8,11,10,1 ; [1/2.S(6)^2]2
12 298 518400 ; 1,4,3,12,5,6,7,8,9,10,11,2 1,4,3,6,5,8,7,10,9,2,11,12 3,12,1,4,5,6,7,8,9,10,11,2 12,1,2,5,4,7,6,9,8,11,10,3 ; 1/2[S(6)^2]2
12 299 1036800 ; 1,12,3,4,5,6,7,8,9,10,11,2 1,4,3,6,5,8,7,10,9,12,11,2 12,3,2,5,4,7,6,9,8,11,10,1 ; [S(6)^2]2=S(6)wr2
12 300 239500800 ; 2,3,4,5,6,7,8,9,10,11,1,12 1,2,3,4,5,6,7,8,9,11,12,10 ; A12
12 301 479001600 ; 2,3,4,5,6,7,8,9,10,11,12,1 2,1,3,4,5,6,7,8,9,10,11,12 ; S12
13 1 13 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 ; C(13)=13
13 2 26 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 12,11,10,9,8,7,6,5,4,3,2,1,13 ; D(13)=13:2
13 3 39 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 3,6,9,12,2,5,8,11,1,4,7,10,13 ; F_39(13)=13:3
13 4 52 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 5,10,2,7,12,4,9,1,6,11,3,8,13 ; F_52(13)=13:4
13 5 78 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 4,8,12,3,7,11,2,6,10,1,5,9,13 ; F_78(13)=13:6
13 6 156 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 2,4,6,8,10,12,1,3,5,7,9,11,13 ; F_156(13)=13:12
13 7 5616 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 1,12,3,11,6,5,10,8,9,7,4,2,13 ; L(13)=PSL(3,3)
13 8 3113510400 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 1,2,3,4,5,6,7,8,9,10,12,13,11 ; A13
13 9 6227020800 ; 2,3,4,5,6,7,8,9,10,11,12,13,1 2,1,3,4,5,6,7,8,9,10,11,12,13 ; S13
17 1 17 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 ; C(17)=17
17 2 34 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 1,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2 ; D(17)=17:2
17 3 68 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 1,14,10,6,2,15,11,7,3,16,12,8,4,17,13,9,5 ; F_68(17)=17:4
17 4 136 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 1,10,2,11,3,12,4,13,5,14,6,15,7,16,8,17,9 ; F_136(17)=17:8
17 5 272 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 1,4,7,10,13,16,2,5,8,11,14,17,3,6,9,12,15 ; F_272(17)=17:16
17 6 4080 ; 6,15,9,2,4,13,11,1,7,14,8,3,5,12,10,16,17 16,3,2,5,4,7,6,9,8,11,10,13,12,15,14,1,17 1,3,2,9,7,8,5,6,4,14,13,15,11,10,12,17,16 ; L(17)=PSL(2,16)
17 7 8160 ; 6,15,9,2,4,13,11,1,7,14,8,3,5,12,10,16,17 16,3,2,5,4,7,6,9,8,11,10,13,12,15,14,1,17 7,13,10,11,12,6,1,14,9,3,4,5,2,8,15,16,17 1,3,2,9,7,8,5,6,4,14,13,15,11,10,12,17,16 ; L(17):2=<PZL(2,16)
17 8 16320 ; 6,15,9,2,4,13,11,1,7,14,8,3,5,12,10,16,17 16,3,2,5,4,7,6,9,8,11,10,13,12,15,14,1,17 12,4,8,13,1,9,5,10,6,14,2,7,11,3,15,16,17 1,3,2,9,7,8,5,6,4,14,13,15,11,10,12,17,16 ; L(17):4=PYL(2,16)
17 9 177843714048000 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,15 ; A17
17 10 355687428096000 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1 2,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17 ; S17
19 1 19 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 ; C(19)=19
19 2 38 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2 ; D(19)=19:2
19 3 57 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,8,15,3,10,17,5,12,19,7,14,2,9,16,4,11,18,6,13 ; F_57(19)=19:3
19 4 114 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,9,17,6,14,3,11,19,8,16,5,13,2,10,18,7,15,4,12 ; F_114(19)=19:6
19 5 171 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,5,9,13,17,2,6,10,14,18,3,7,11,15,19,4,8,12,16 ; F_171(19)=19:9
19 6 342 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,3,5,7,9,11,13,15,17,19,2,4,6,8,10,12,14,16,18 ; F_342(19)=19:18
19 7 60822550204416000 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,17 ; A19
19 8 121645100408832000 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1 2,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19 ; S19
23 1 23 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 ; C(23)
23 2 46 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 1,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2 ; D(23)=23:2
23 3 253 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 1,3,5,7,9,11,13,15,17,19,21,23,2,4,6,8,10,12,14,16,18,20,22 ; F(23)=23:11
23 4 506 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 1,6,11,16,21,3,8,13,18,23,5,10,15,20,2,7,12,17,22,4,9,14,19 ; AGL(1,23)
23 5 10200960 ; 7,8,9,10,11,1,12,13,14,15,2,16,17,18,3,19,20,4,21,5,6,22,23 1,14,7,21,11,9,12,2,5,4,16,13,19,18,10,6,15,20,3,8,17,22,23 22,10,14,17,5,6,7,15,11,2,9,12,20,3,8,16,4,18,21,13,19,1,23 1,2,19,14,20,10,7,15,9,6,18,12,13,4,8,16,21,11,3,5,17,23,22 ; M(23)
23 6 12926008369442488320000 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,21 ; A23
23 7 25852016738884976640000 ; 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1 2,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23 ; S23
