Transitive Subgroups of S12

TName(s)|G|Parity|CS12(G)|SubfieldsOther RepresentationsResolvents
1C(4)[x]C(3)12 = 22 · 3-1122T1, 3T1, 4T1, 6T1  2: 2T1
3: 3T1
4: 4T1
6: 6T1
2E(4)[x]C(3)=6x212 = 22 · 31122T1, 2T1, 2T1, 3T1, 4T2, 6T1, 6T1, 6T1  2: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
3D_6(6)[x]2=1/2[3:2]E(4)12 = 22 · 31122T1, 2T1, 2T1, 3T2, 4T2, 6T2, 6T3, 6T3 6T3, 6T32: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
4A_4(12)12 = 22 · 31123T1, 4T4, 6T4 4T4, 6T43: 3T1
51/2[3:2]412 = 22 · 3-1122T1, 3T2, 4T1, 6T2  2: 2T1
4: 4T1
6: 3T2
6A_4(12)x224 = 23 · 3143T1, 6T4, 6T6 6T6, 8T13, 12T72: 2T1
3: 3T1
6: 6T1
12: 4T4
7A_4(6)[x]2=[1/8.2^6]324 = 23 · 3142T1, 3T1, 6T1, 6T4, 6T6 6T6, 8T13, 12T62: 2T1
3: 3T1
6: 6T1
12: 4T4
8S_4(12d)24 = 23 · 3-123T2, 4T5, 6T7 4T5, 6T7, 6T8, 8T14, 12T92: 2T1
6: 3T2
91/2[1/8.2^6]S(3)=S_4(12e)24 = 23 · 3142T1, 3T2, 6T2, 6T7, 6T8 4T5, 6T7, 6T8, 8T14, 12T82: 2T1
6: 3T2
10S(3)[x]E(4)24 = 23 · 3142T1, 2T1, 2T1, 3T2, 4T2, 6T3, 6T3, 6T3 12T10, 12T10, 12T102: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 8T3
12: 6T3, 6T3, 6T3
11S(3)[x]C(4)24 = 23 · 3-142T1, 3T2, 4T1, 6T3 12T112: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
6: 3T2
8: 8T2
12: 6T3
121/2[3:2]cD(4)24 = 23 · 3-122T1, 3T2, 4T3, 6T3 12T122: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
131/2[3:2]eD(4)24 = 23 · 3-122T1, 3T2, 4T3, 6T3 12T152: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
14D(4)[x]C(3)24 = 23 · 3-162T1, 3T1, 4T3, 6T1 12T142: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
8: 4T3
12: 12T2
151/2[3:2]dD(4)24 = 23 · 3-162T1, 3T2, 4T3, 6T2 12T132: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
16[3^2]E(4)36 = 22 · 32162T1, 2T1, 2T1, 4T2, 6T9 6T9, 9T8, 18T9, 18T11, 18T112: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
12: 6T3, 6T3
17[3^2]436 = 22 · 32-162T1, 4T1, 6T10 6T10, 6T10, 9T9, 12T17, 18T102: 2T1
4: 4T1
18[3^2]E(4)36 = 22 · 32162T1, 2T1, 2T1, 4T2, 6T5 18T6, 18T62: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
12: 6T3, 12T2
18: 6T5
19[3^2]436 = 22 · 32-162T1, 4T1, 6T5  2: 2T1
3: 3T1
4: 4T1
6: 3T2, 6T1
12: 12T1, 12T5
18: 6T5
20A(4)[x]C(3)36 = 22 · 32133T1, 4T4 12T20, 12T20, 18T83: 3T1, 3T1, 3T1, 3T1
9: 9T2
12: 4T4
211/2[1/4.2^6]S(3)48 = 24 · 3142T1, 3T2, 6T2, 6T11, 6T11 6T11, 6T11, 8T24, 8T24, 12T22, 12T23, 12T23, 12T24, 12T24, 16T612: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
22S_4(12d)x248 = 24 · 3-123T2, 6T7 6T11, 6T11, 8T24, 8T24, 12T21, 12T23, 12T23, 12T24, 12T24, 16T612: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
23S_4(6d)[x]2=[1/8.2^6]S(3)48 = 24 · 3142T1, 3T2, 6T3, 6T7, 6T11 6T11, 6T11, 8T24, 8T24, 12T21, 12T22, 12T23, 12T24, 12T24, 16T612: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
24S_4(6c)[x]248 = 24 · 3142T1, 3T2, 6T3, 6T8, 6T11 6T11, 6T11, 8T24, 8T24, 12T21, 12T22, 12T23, 12T23, 12T24, 16T612: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
252A_4(6)[x]2=[1/4.2^6]348 = 24 · 3142T1, 3T1, 6T1, 6T6, 6T6 12T25, 12T25, 12T26, 12T26, 16T582: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 4T4, 12T2
24: 6T6, 6T6, 6T6
26A_4(12)x2^248 = 24 · 3143T1, 6T6, 6T6, 6T6 12T25, 12T25, 12T25, 12T26, 16T582: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 4T4, 12T2
24: 6T6, 6T6, 6T6
27[2]S_4(6)_248 = 24 · 3-123T2, 6T8 12T30, 16T622: 2T1
4: 4T1
6: 3T2
12: 12T5
24: 4T5
28D(4)[x]S(3)48 = 24 · 3-122T1, 3T2, 4T3, 6T3 12T28, 12T28, 12T282: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 4T3, 4T3, 8T3
12: 6T3, 6T3, 6T3
16: 8T9
24: 12T10
29[1/2.4^2]348 = 24 · 3-142T1, 3T1, 6T1 16T572: 2T1
3: 3T1
4: 4T1
6: 6T1
12: 4T4, 12T1
24: 6T6
301/2[1/4.4^3]S(3)48 = 24 · 3-142T1, 3T2, 6T2 12T27, 16T622: 2T1
4: 4T1
6: 3T2
12: 12T5
24: 4T5
31[4^2]348 = 24 · 3143T1, 6T4 12T31, 16T633: 3T1
12: 4T4
32[E(4)^2]348 = 24 · 3143T1, 6T4, 6T4, 6T4 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 12T32, 16T643: 3T1
12: 4T4, 4T4, 4T4, 4T4, 4T4
33A_5(12)60 = 22 · 3 · 5126T12 5T4, 6T12, 10T7, 15T5, 20T15 
34F_36:2(12e)72 = 23 · 32122T1, 2T1, 2T1, 4T2, 6T13 6T13, 6T13, 9T16, 12T34, 12T35, 12T35, 12T36, 12T36, 18T34, 18T34, 18T362: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
35[D_6^2]2=D_6wr272 = 23 · 32-162T1, 4T3, 6T13 6T13, 6T13, 9T16, 12T34, 12T34, 12T35, 12T36, 12T36, 18T34, 18T34, 18T362: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
36F_36:2(12d)72 = 23 · 32-122T1, 4T3, 6T13 6T13, 6T13, 9T16, 12T34, 12T34, 12T35, 12T35, 12T36, 18T34, 18T34, 18T362: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
37[3^2:2]E(4)72 = 23 · 32122T1, 2T1, 2T1, 4T2, 6T9 12T37, 18T29, 18T29, 18T29, 18T292: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2, 3T2
8: 8T3
12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
24: 12T10, 12T10
36: 6T9
381/2[3^2:2]cD(4)72 = 23 · 32-122T1, 4T3, 6T9 12T382: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
8: 4T3
12: 6T3, 6T3
24: 12T12, 12T13
36: 6T9
39[3^2:2]472 = 23 · 32-122T1, 4T1, 6T9 12T392: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
6: 3T2, 3T2
8: 8T2
12: 6T3, 6T3
24: 12T11, 12T11
36: 6T9
40F_36(6)[x]272 = 23 · 32122T1, 2T1, 2T1, 4T2, 6T10 12T40, 12T41, 12T41, 18T27, 18T272: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 8T2
36: 6T10
411/2[(1/4.2^3)^2]F_36(6)72 = 23 · 32-122T1, 4T1, 6T10 12T40, 12T40, 12T41, 18T27, 18T272: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 8T2
36: 6T10
42[3^2]D(4)=6wr272 = 23 · 32-162T1, 4T3, 6T5 12T422: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
8: 4T3
12: 6T3, 12T2
18: 6T5
24: 12T13, 12T14
36: 12T18
43A(4)[x]S(3)72 = 23 · 32113T2, 4T4 18T31, 18T322: 2T1
3: 3T1
6: 3T2, 6T1
12: 4T4
18: 6T5
24: 6T6
441/2[3:2]S(4)72 = 23 · 32-113T2, 4T5 12T44, 12T44, 18T37, 18T402: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
24: 4T5
45S(4)[x]C(3)72 = 23 · 32-133T1, 4T5 18T30, 18T332: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
24: 4T5
46[(1/3.3^3):2]4_472 = 23 · 32112T1, 4T1 9T15, 18T282: 2T1
4: 4T1
8: 8T1
47[(1/3.3^3):2]E(4)_472 = 23 · 32112T1, 2T1, 2T1, 4T2 9T14, 18T35, 18T35, 18T352: 2T1, 2T1, 2T1
4: 4T2
8: 8T5
482S_4(6)[x]2=[1/4.2^6]S(3)96 = 25 · 3142T1, 3T2, 6T3, 6T11, 6T11 12T48, 12T48, 12T48, 12T48, 12T48, 12T48, 12T48, 12T48, 12T48, 12T48, 12T48, 16T182, 16T182, 16T182, 16T1822: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 8T3
12: 6T3, 6T3, 6T3
24: 4T5, 12T10
48: 6T11, 6T11, 6T11
49[2]2S_4(6)_296 = 25 · 3-123T2, 6T11 12T49, 12T50, 12T52, 16T186, 16T1932: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T13
48: 6T11
501/2e[1/16.D(4)^3]S(3)96 = 25 · 3-122T1, 3T2, 6T2 12T49, 12T49, 12T52, 16T186, 16T1932: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T13
48: 6T11
51[1/16.D(4)^3]396 = 25 · 3-122T1, 3T1, 6T1 12T51, 16T179, 16T1792: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
8: 4T3
12: 4T4, 12T2
24: 6T6, 6T6, 6T6, 12T14
48: 12T25
521/2c[1/16.D(4)^3]S(3)96 = 25 · 3-122T1, 3T2, 6T3 12T49, 12T49, 12T50, 16T186, 16T1932: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T13
48: 6T11
53[1/2.4^2]S(3)96 = 25 · 3-142T1, 3T2, 6T3 12T53, 16T181, 16T1812: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
6: 3T2
8: 8T2
12: 6T3
24: 4T5, 12T11
48: 6T11
54[(1/2.2^2)^3]D(6)_496 = 25 · 3-122T1, 3T2, 6T3 12T54, 16T191, 16T1912: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T12
48: 6T11
55[1/2.4^3]396 = 25 · 3143T1, 6T4 12T552: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
48: 12T31
56[1/2.2^6]396 = 25 · 3143T1, 6T4, 6T6, 6T6 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T56, 12T562: 2T1
3: 3T1
6: 6T1
12: 4T4, 4T4, 4T4, 4T4, 4T4
24: 6T6, 6T6, 6T6, 6T6, 6T6
48: 12T32
57[(1/2.2^2)^3]A_4(6)_496 = 25 · 3123T1, 6T4 12T573: 3T1
12: 4T4
24: 8T12
48: 12T31
58[2^4]696 = 25 · 3122T1, 3T1, 6T1 8T33, 8T33, 12T58, 12T59, 12T59, 16T1832: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
59[2^3]A_4(6)96 = 25 · 3-123T1, 6T4 8T33, 8T33, 12T58, 12T58, 12T59, 16T1832: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
60[1/2[1/2.2^2]^3]2A_4(6)_496 = 25 · 3123T1, 6T6 12T60, 12T61, 12T61, 16T1852: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
61[2^3]A_4(6)_496 = 25 · 3-123T1, 6T4 12T60, 12T60, 12T61, 16T1852: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
62[4^2]S(3)96 = 25 · 3143T2, 6T7 12T63, 12T64, 12T65, 16T1952: 2T1
6: 3T2
24: 4T5
63[1/2[1/2.2^2]^3]S_4(6d)_8b96 = 25 · 3143T2, 6T7 12T62, 12T64, 12T65, 16T1952: 2T1
6: 3T2
24: 4T5
64[1/2[1/2.2^2]^3]S_4(6d)_8a96 = 25 · 3-123T2, 6T7 12T62, 12T63, 12T65, 16T1952: 2T1
6: 3T2
24: 4T5
65[1/2[1/2.2^2]^3]S_4(6c)_496 = 25 · 3123T2, 6T8 12T62, 12T63, 12T64, 16T1952: 2T1
6: 3T2
24: 4T5
66[1/2[1/2.2^2]^3]S_4(6d)_296 = 25 · 3-123T2, 6T7 8T34, 12T66, 12T66, 12T67, 12T68, 12T68, 12T68, 12T69, 16T1942: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
67[E(4)^2]S(3)96 = 25 · 3143T2, 6T7, 6T7, 6T7 8T34, 12T66, 12T66, 12T66, 12T68, 12T68, 12T68, 12T69, 16T1942: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
68[1/2[1/2.2^2]^3]S_4(6c)96 = 25 · 3143T2, 6T7, 6T8, 6T8 8T34, 12T66, 12T66, 12T66, 12T67, 12T68, 12T68, 12T69, 16T1942: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
69[2^4]D_6(6)96 = 25 · 3122T1, 3T2, 6T2 8T34, 12T66, 12T66, 12T66, 12T67, 12T68, 12T68, 12T68, 16T1942: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
701/2[3^3:2]E(4)108 = 22 · 33132T1, 2T1, 2T1, 4T2 18T43, 18T46, 18T462: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 3T2, 6T1, 6T1, 6T1
12: 6T3, 6T3, 12T2
18: 6T5, 6T5
36: 6T9, 12T18, 12T18
71[3^3]E(4)108 = 22 · 33132T1, 2T1, 2T1, 4T2 18T53, 18T53, 18T532: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2, 3T2
12: 6T3, 6T3, 6T3
36: 6T9, 6T9, 6T9
72[3^3]4108 = 22 · 33-132T1, 4T1 12T72, 18T54, 18T542: 2T1
4: 4T1
6: 3T2
12: 12T5
36: 6T10
731/2[3^3:2]4108 = 22 · 33-132T1, 4T1 12T73, 18T44, 18T442: 2T1
3: 3T1
4: 4T1
6: 6T1
12: 12T1
36: 6T10
74S_5(12)120 = 23 · 3 · 5122T1, 6T14 5T5, 6T14, 10T12, 10T13, 15T10, 20T30, 20T32, 20T352: 2T1
75L(6)[x]2120 = 23 · 3 · 5122T1, 6T12 10T11, 12T76, 20T31, 20T362: 2T1
60: 5T4
76[2]L(6)_6120 = 23 · 3 · 5126T12 10T11, 12T75, 20T31, 20T362: 2T1
60: 5T4
77[S(3)^2]E(4)144 = 24 · 32122T1, 2T1, 2T1, 4T2, 6T13 12T77, 12T77, 12T77, 12T78, 12T78, 12T78, 12T78, 18T63, 18T63, 18T63, 18T632: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 8T3
16: 8T9
72: 6T13
78[2]F_36:2_2{S_3^2}144 = 24 · 32-122T1, 4T3, 6T13 12T77, 12T77, 12T77, 12T77, 12T78, 12T78, 12T78, 18T63, 18T63, 18T63, 18T632: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 8T3
16: 8T9
72: 6T13
79[S(3)^2]4144 = 24 · 32-122T1, 4T1, 6T13 12T79, 12T80, 12T802: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
72: 6T13
80[2]F_36:2_2{3^2:4}144 = 24 · 32-122T1, 4T3, 6T13 12T79, 12T79, 12T802: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
72: 6T13
81[3^2:2]D(4)144 = 24 · 32-122T1, 4T3, 6T9 12T81, 12T81, 12T812: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2, 3T2
8: 4T3, 4T3, 8T3
12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
16: 8T9
24: 12T10, 12T10
36: 6T9
48: 12T28, 12T28
72: 12T37
82[(1/4.2^3)^2]F_36(6)144 = 24 · 32-122T1, 4T3, 6T10 12T82, 12T82, 12T82, 12T82, 12T82, 12T82, 12T822: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
36: 6T10
72: 12T40
83S(4)[x]S(3)144 = 24 · 32-113T2, 4T5 18T65, 18T69, 18T70, 18T722: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
12: 6T3, 6T3
24: 4T5
36: 6T9
48: 6T11
84[(1/3.3^3):2]D(4)_4144 = 24 · 32112T1, 4T3 9T19, 18T68, 18T71, 18T732: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
16: 8T8
85[1/4E(4)^3:3]3144 = 24 · 32113T1 12T85, 16T414, 18T623: 3T1, 3T1, 3T1, 3T1
9: 9T2
12: 4T4, 4T4
36: 12T20, 12T20
86[1/16.D(4)^3]S(3)192 = 26 · 3-122T1, 3T2, 6T3 12T86, 12T86, 12T86, 16T421, 16T421, 16T421, 16T4212: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 4T3, 4T3, 8T3
12: 6T3, 6T3, 6T3
16: 8T9
24: 4T5, 12T10
48: 6T11, 6T11, 6T11, 12T28
96: 12T48
87[2^5]6192 = 26 · 3122T1, 3T1, 6T1 12T87, 12T88, 12T88, 16T416, 16T4162: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 4T4, 12T2
24: 6T6, 6T6, 6T6
48: 12T25
96: 8T33
88[2^4]A_4(6)192 = 26 · 3-123T1, 6T4 12T87, 12T87, 12T88, 16T416, 16T4162: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 4T4, 12T2
24: 6T6, 6T6, 6T6
48: 12T25
96: 8T33
89[(1/2.2^2)^3]2A_4(6)_4{n4}192 = 26 · 3123T1, 6T6 12T89, 12T92, 12T922: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 4T4, 12T2
24: 6T6, 6T6, 6T6
48: 12T25
96: 12T60
90[E(4)^3]3=E(4)wr3192 = 26 · 3143T1, 6T6, 6T6, 6T6 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T90, 12T902: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 4T4, 4T4, 4T4, 4T4, 4T4, 12T2
24: 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6
48: 12T25, 12T25, 12T25, 12T25, 12T25, 12T32
96: 12T56, 12T56, 12T56
91[(1/2.2^2)^3]2A_4(6)_4{n2}192 = 26 · 3123T1, 6T6 12T91, 12T93, 12T932: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6, 8T12, 8T12
48: 16T59
96: 16T184
92[2^4]A_4(6)_4{n4}192 = 26 · 3-123T1, 6T4 12T89, 12T89, 12T922: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 4T4, 12T2
24: 6T6, 6T6, 6T6
48: 12T25
96: 12T60
93[2^4]A_4(6)_4{n2}192 = 26 · 3-123T1, 6T4 12T91, 12T91, 12T932: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6, 8T12, 8T12
48: 16T59
96: 16T184
94[4^3]3=4wr3192 = 26 · 3-143T1, 6T6 12T94, 12T94, 12T942: 2T1
3: 3T1
4: 4T1
6: 6T1
12: 4T4, 12T1
24: 6T6
48: 12T29, 12T31
96: 12T55
95[1/2.4^3]S(3)192 = 26 · 3143T2, 6T7 12T95, 12T96, 12T972: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
96: 12T62
96[(1/2.2^2)^3]S_4(6d)_8192 = 26 · 3-123T2, 6T7 12T95, 12T95, 12T972: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
96: 12T62
97[(1/2.2^2)^3]S_4(6c)_4192 = 26 · 3123T2, 6T8 12T95, 12T95, 12T962: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
96: 12T62
981/2[4^3]S(3)192 = 26 · 3-143T2, 6T8 12T982: 2T1
4: 4T1
6: 3T2
12: 12T5
24: 4T5
48: 12T27
96: 12T62
99[(1/2.2^2)^3]2A_4(6)_2192 = 26 · 3-123T1, 6T6 12T99, 12T105, 12T105, 16T418, 16T4182: 2T1
3: 3T1
4: 4T1
6: 6T1
12: 4T4, 12T1
24: 6T6
48: 12T29
96: 8T33
100[(1/2.2^2)^3]S_4(6d)_2192 = 26 · 3-123T2, 6T7 12T100, 12T100, 12T101, 12T101, 12T101, 12T101, 12T101, 12T101, 12T103, 12T103, 12T103, 12T103, 12T103, 12T103, 12T106, 16T4292: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
101[1/2.2^6]S(3)192 = 26 · 3143T2, 6T7, 6T11, 6T11 12T100, 12T100, 12T100, 12T101, 12T101, 12T101, 12T101, 12T101, 12T103, 12T103, 12T103, 12T103, 12T103, 12T103, 12T106, 16T4292: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
102[(1/2.2^2)^3]S_4(6c)_2192 = 26 · 3-123T2, 6T8 12T102, 12T102, 12T107, 16T4342: 2T1
4: 4T1
6: 3T2
12: 12T5
24: 4T5, 4T5, 4T5
48: 12T27, 12T27, 12T27
96: 8T34
1031/2[E(4)^3]S(3)192 = 26 · 3143T2, 6T8, 6T11, 6T11 12T100, 12T100, 12T100, 12T101, 12T101, 12T101, 12T101, 12T101, 12T101, 12T103, 12T103, 12T103, 12T103, 12T103, 12T106, 16T4292: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
104[(1/2.2^2)^3]2A_4(6)_8192 = 26 · 3-123T1, 6T6 12T104, 12T104, 12T1042: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
48: 16T60
96: 12T60
1051/2[2^6]6192 = 26 · 3-122T1, 3T1, 6T1 12T99, 12T99, 12T105, 16T418, 16T4182: 2T1
3: 3T1
4: 4T1
6: 6T1
12: 4T4, 12T1
24: 6T6
48: 12T29
96: 8T33
106[2^5]D_6(6)192 = 26 · 3122T1, 3T2, 6T2 12T100, 12T100, 12T100, 12T101, 12T101, 12T101, 12T101, 12T101, 12T101, 12T103, 12T103, 12T103, 12T103, 12T103, 12T103, 16T4292: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
1071/2[2^6]D_6192 = 26 · 3-122T1, 3T2, 6T2 12T102, 12T102, 12T102, 16T4342: 2T1
4: 4T1
6: 3T2
12: 12T5
24: 4T5, 4T5, 4T5
48: 12T27, 12T27, 12T27
96: 8T34
1081/2[2^5]D(6)192 = 26 · 3122T1, 3T2, 6T3 8T41, 8T41, 12T108, 12T109, 12T109, 12T110, 12T110, 12T111, 12T111, 16T435, 16T435, 16T4362: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
109[2^4]D(6)192 = 26 · 3122T1, 3T2, 6T3 8T41, 8T41, 12T108, 12T108, 12T109, 12T110, 12T110, 12T111, 12T111, 16T435, 16T435, 16T4362: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
110[2^3]S_4(6d)192 = 26 · 3-123T2, 6T7 8T41, 8T41, 12T108, 12T108, 12T109, 12T109, 12T110, 12T111, 12T111, 16T435, 16T435, 16T4362: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
111[2^3]S_4(6)_2192 = 26 · 3-123T2, 6T7 8T41, 8T41, 12T108, 12T108, 12T109, 12T109, 12T110, 12T110, 12T111, 16T435, 16T435, 16T4362: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
112[1/2[1/2.2^2]^3]2S_4(6)_8192 = 26 · 3123T2, 6T11 12T112, 12T113, 12T113, 12T114, 12T114, 12T115, 12T115, 16T4312: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
113[1/2[1/2.2^2]^3]2S_4(6)_4192 = 26 · 3123T2, 6T11 12T112, 12T112, 12T113, 12T114, 12T114, 12T115, 12T115, 16T4312: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
114[2^3]S_4(6)_4192 = 26 · 3-123T2, 6T7 12T112, 12T112, 12T113, 12T113, 12T114, 12T115, 12T115, 16T4312: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
115[2^3]S_4(6)_8192 = 26 · 3-123T2, 6T7 12T112, 12T112, 12T113, 12T113, 12T114, 12T114, 12T115, 16T4312: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
116[3^3]D(4)216 = 23 · 33-132T1, 4T3 12T120, 18T103, 18T1062: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 12T13
72: 6T13
117[3^3:2]E(4)216 = 23 · 33112T1, 2T1, 2T1, 4T2 18T96, 18T96, 18T962: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2, 3T2, 3T2
8: 8T3
12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
24: 12T10, 12T10, 12T10
36: 6T9, 6T9, 6T9
72: 12T37, 12T37, 12T37
1181/2[3^3:2]eD(4)216 = 23 · 33-112T1, 4T3 12T118, 18T104, 18T1042: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 12T12
72: 6T13
119[3^3:2]4216 = 23 · 33-112T1, 4T1 12T119, 18T95, 18T952: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
6: 3T2
8: 8T2
12: 6T3
24: 12T11
36: 6T10
72: 12T40
1201/2[3^3:2]cD(4)216 = 23 · 33-112T1, 4T3 12T116, 18T103, 18T1062: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 12T13
72: 6T13
1211/2[3^3:2]dD(4)216 = 23 · 33-132T1, 4T3 12T121, 18T93, 18T932: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
8: 4T3
12: 12T2
24: 12T14
72: 6T13
122[(1/3.3^3):2]A(4)_4216 = 23 · 33114T4 9T233: 3T1
12: 4T4
24: 8T12
123L(6):2[x]2240 = 24 · 3 · 5122T1, 6T14 10T22, 10T22, 12T123, 20T62, 20T62, 20T65, 20T65, 20T702: 2T1, 2T1, 2T1
4: 4T2
120: 5T5
124[2]L(6):2_12240 = 24 · 3 · 5-126T14 12T124, 20T662: 2T1
4: 4T1
120: 5T5
125[S(3)^2]D(4)=D(6)wr2288 = 25 · 32-122T1, 4T3, 6T13 12T125, 12T125, 12T125, 12T125, 12T125, 12T125, 12T1252: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
16: 8T9, 8T9, 8T9
32: 8T18
72: 6T13
144: 12T77
126[A_4^2]2=A_4wr2288 = 25 · 32122T1, 6T5 8T42, 12T128, 12T129, 16T708, 18T112, 18T1132: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
127[1/4E(4)^3:3]S(3)_2288 = 25 · 32-113T2 12T127, 16T710, 18T116, 18T1172: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
24: 4T5, 4T5
72: 12T44, 12T44
128[1/4E(4)^3:3]S(3)288 = 25 · 32113T2 8T42, 12T126, 12T129, 16T708, 18T112, 18T1132: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
129[1/4E(4)^3:3:2]3288 = 25 · 32-113T1 8T42, 12T126, 12T128, 16T708, 18T112, 18T1132: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
130[3^4]E(4)=3wrE(4)324 = 22 · 34132T1, 2T1, 2T1, 4T2 12T130, 18T120, 18T120, 18T120, 18T120, 18T120, 18T1202: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 3T2, 3T2, 6T1, 6T1, 6T1
12: 6T3, 6T3, 6T3, 12T2
18: 6T5, 6T5, 6T5
36: 6T9, 6T9, 6T9, 12T18, 12T18, 12T18
108: 12T70, 12T70, 12T70, 12T71
131[3^4]4=3wr4324 = 22 · 34-132T1, 4T1 12T131, 12T131, 12T131, 18T123, 18T123, 18T123, 18T1232: 2T1
3: 3T1
4: 4T1
6: 3T2, 6T1
12: 12T1, 12T5
18: 6T5
36: 6T10, 12T19
108: 12T72, 12T73
1321/3[3^4]A(4)324 = 22 · 34134T4 9T25, 12T132, 12T133, 18T141, 18T141, 18T142, 18T1433: 3T1
12: 4T4
133[3^3]A(4)324 = 22 · 34134T4 9T25, 12T132, 12T132, 18T141, 18T141, 18T142, 18T1433: 3T1
12: 4T4
134[2^6]6=2wr6384 = 27 · 3-122T1, 3T1, 6T1 12T134, 12T134, 12T134, 12T142, 12T142, 12T142, 12T142, 16T719, 16T719, 16T719, 16T7192: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
8: 4T3
12: 4T4, 12T2
24: 6T6, 6T6, 6T6, 12T14
48: 12T25
96: 8T33, 12T51
192: 12T87
135[2^6]D_6=2wrD_6(6)384 = 27 · 3-122T1, 3T2, 6T2 12T135, 12T148, 12T148, 12T148, 12T148, 12T148, 12T148, 16T765, 16T7652: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 4T5, 4T5, 12T13
48: 6T11, 6T11, 6T11
96: 8T34, 12T49, 12T49, 12T49
192: 12T100
136[2^5]D(6)384 = 27 · 3122T1, 3T2, 6T3 12T136, 12T136, 12T136, 12T137, 12T137, 12T137, 12T137, 16T724, 16T724, 16T724, 16T7242: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 8T3
12: 6T3, 6T3, 6T3
24: 4T5, 12T10
48: 6T11, 6T11, 6T11
96: 12T48
192: 8T41
137[2^4]S_4(6d)384 = 27 · 3-123T2, 6T7 12T136, 12T136, 12T136, 12T136, 12T137, 12T137, 12T137, 16T724, 16T724, 16T724, 16T7242: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 8T3
12: 6T3, 6T3, 6T3
24: 4T5, 12T10
48: 6T11, 6T11, 6T11
96: 12T48
192: 8T41
138[(1/2.2^2)^3]2S_4(6)_4384 = 27 · 3123T2, 6T11 12T138, 12T138, 12T138, 12T140, 12T140, 12T140, 12T1402: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 8T3
12: 6T3, 6T3, 6T3
24: 4T5, 12T10
48: 6T11, 6T11, 6T11
96: 12T48
192: 12T112
139[E(4)^3]S(3)=E(4)wrS(3)384 = 27 · 3143T2, 6T11, 6T11, 6T11 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T139, 12T1392: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 8T3
12: 6T3, 6T3, 6T3
24: 4T5, 4T5, 4T5, 12T10
48: 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11
96: 8T34, 12T48, 12T48, 12T48
192: 12T100, 12T100, 12T100
140[2^4]S_4(6d)_4384 = 27 · 3-123T2, 6T7 12T138, 12T138, 12T138, 12T138, 12T140, 12T140, 12T1402: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 8T3
12: 6T3, 6T3, 6T3
24: 4T5, 12T10
48: 6T11, 6T11, 6T11
96: 12T48
192: 12T112
141[1/4.cD(4)^3]3384 = 27 · 3-123T1, 6T6 12T141, 12T141, 12T141, 12T141, 12T141, 12T141, 12T1412: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
8: 4T3
12: 4T4, 12T2
24: 6T6, 6T6, 6T6, 12T14
48: 12T25
96: 12T51, 12T60
192: 12T89
142[1/4.eD(4)^3]3384 = 27 · 3-123T1, 6T6 12T134, 12T134, 12T134, 12T134, 12T142, 12T142, 12T142, 16T719, 16T719, 16T719, 16T7192: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
8: 4T3
12: 4T4, 12T2
24: 6T6, 6T6, 6T6, 12T14
48: 12T25
96: 8T33, 12T51
192: 12T87
143[2^4]2A_4(6)_4384 = 27 · 3-123T1, 6T6 12T143, 12T143, 12T143, 12T143, 12T143, 12T143, 12T1432: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 4T4, 12T2
24: 6T6, 6T6, 6T6
48: 12T25
96: 16T180
192: 16T420
144[2^5]A_4(6)384 = 27 · 3123T1, 6T4 12T144, 12T144, 12T144, 12T144, 12T144, 12T144, 12T1443: 3T1
12: 4T4, 4T4, 4T4, 4T4, 4T4
48: 12T32
96: 8T32
192: 16T440
1451/2[2^6]D(6)384 = 27 · 3-122T1, 3T2, 6T3 12T145, 12T146, 12T146, 16T744, 16T7442: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T13
48: 6T11
96: 12T49
192: 8T41
146[2^4]S_4(6c)384 = 27 · 3-123T2, 6T8 12T145, 12T145, 12T146, 16T744, 16T7442: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T13
48: 6T11
96: 12T49
192: 8T41
147[(1/2.2^2)^3]2S_4(6)_8384 = 27 · 3-123T2, 6T11 12T147, 12T149, 12T1492: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T13
48: 6T11
96: 12T49
192: 12T112
1481/2[1/4.eD(4)^3]S(3)384 = 27 · 3-123T2, 6T11 12T135, 12T135, 12T148, 12T148, 12T148, 12T148, 12T148, 16T765, 16T7652: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 4T5, 4T5, 12T13
48: 6T11, 6T11, 6T11
96: 8T34, 12T49, 12T49, 12T49
192: 12T100
149[2^4]S_4(6c)_4384 = 27 · 3-123T2, 6T8 12T147, 12T147, 12T1492: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T13
48: 6T11
96: 12T49
192: 12T112
150[4^3]S(3)=4wrS(3)384 = 27 · 3-143T2, 6T11 12T150, 12T150, 12T1502: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
6: 3T2
8: 8T2
12: 6T3
24: 4T5, 12T11
48: 6T11
96: 12T53, 12T62
192: 12T95
1511/2[1/4.cD(4)^3]S(3)384 = 27 · 3-123T2, 6T11 12T151, 12T151, 12T1512: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T12
48: 6T11
96: 12T54, 12T62
192: 12T95
152[(1/2.2^2)^3]2S_4(6)_2{S_4(6c)}384 = 27 · 3-123T2, 6T11 12T152, 12T152, 12T152, 12T154, 12T154, 12T154, 12T154, 16T742, 16T742, 16T742, 16T7422: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T12
48: 6T11
96: 12T54
192: 8T41
153[(1/2.2^2)^3]2S_4(6)_2{S_4(6d)}384 = 27 · 3-123T2, 6T11 12T153, 12T155, 12T155, 16T725, 16T7252: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
6: 3T2
8: 8T2
12: 6T3
24: 4T5, 12T11
48: 6T11
96: 12T53
192: 8T41
154[2^5]D(6)_2t384 = 27 · 3-122T1, 3T2, 6T3 12T152, 12T152, 12T152, 12T152, 12T154, 12T154, 12T154, 16T742, 16T742, 16T742, 16T7422: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
8: 4T3
12: 6T3
24: 4T5, 12T12
48: 6T11
96: 12T54
192: 8T41
155[2^5]D(6)_2i384 = 27 · 3-122T1, 3T2, 6T3 12T153, 12T153, 12T155, 16T725, 16T7252: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
6: 3T2
8: 8T2
12: 6T3
24: 4T5, 12T11
48: 6T11
96: 12T53
192: 8T41
156[3^3:2]D(4)432 = 24 · 33-112T1, 4T3 12T156, 18T150, 18T1502: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 4T3, 4T3, 8T3
12: 6T3, 6T3, 6T3
16: 8T9
24: 12T10
48: 12T28
72: 6T13
144: 12T77
157[(1/3.3^3):2]S(4)_4432 = 24 · 33114T5 9T26, 18T1572: 2T1
6: 3T2
24: 4T5
48: 8T23
158[2^5]F_18(6)576 = 26 · 32122T1, 6T5 16T1028, 18T175, 18T1752: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
12: 6T3, 12T2
18: 6T5
36: 12T18
288: 8T42
159[2^5]F_18(6)_2576 = 26 · 32-122T1, 6T5 16T10272: 2T1
3: 3T1
4: 4T1
6: 3T2, 6T1
12: 12T1, 12T5
18: 6T5
36: 12T19
288: 8T42
1601/2[S_4(6c)^2]2576 = 26 · 32-122T1, 6T10 8T46, 12T162, 16T1030, 16T1031, 18T182, 18T1842: 2T1
4: 4T1
36: 6T10
161[1/2.S_4(6c)^2]2576 = 26 · 32122T1, 6T9 8T45, 12T163, 12T165, 12T165, 16T1032, 16T1034, 18T179, 18T180, 18T185, 18T1852: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
12: 6T3, 6T3
36: 6T9
162[2^4]F_36(6)576 = 26 · 32122T1, 6T10 8T46, 12T160, 16T1030, 16T1031, 18T182, 18T1842: 2T1
4: 4T1
36: 6T10
163[2^4]F_18(6):2576 = 26 · 32122T1, 6T9 8T45, 12T161, 12T165, 12T165, 16T1032, 16T1034, 18T179, 18T180, 18T185, 18T1852: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
12: 6T3, 6T3
36: 6T9
164[1/9.A(4)^3]3576 = 26 · 32113T1 12T164, 12T164, 18T178, 18T178, 18T1783: 3T1, 3T1, 3T1, 3T1
9: 9T2
12: 4T4, 4T4, 4T4
36: 12T20, 12T20, 12T20
144: 12T85, 12T85, 12T85
165[1/4E(4)^3:3:2]3576 = 26 · 32-113T2 8T45, 12T161, 12T163, 12T165, 16T1032, 16T1034, 18T179, 18T180, 18T185, 18T1852: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
12: 6T3, 6T3
36: 6T9
166[1/9.A(4)^3]3_3576 = 26 · 32113T1 12T166, 12T166, 12T166, 12T166, 12T166, 12T166, 18T177, 18T177, 18T177, 18T177, 18T177, 18T177, 18T1773: 3T1
9: 9T1
167[3^4]D(4)=3wrD(4)648 = 23 · 34-132T1, 4T3 12T167, 18T189, 18T1892: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
8: 4T3
12: 6T3, 12T2
18: 6T5
24: 12T13, 12T14
36: 12T18
72: 6T13, 12T42
216: 12T116, 12T121
168[3^4:2]E(4)648 = 23 · 34112T1, 2T1, 2T1, 4T2 12T168, 18T193, 18T193, 18T193, 18T193, 18T193, 18T1932: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2, 3T2, 3T2, 3T2
8: 8T3
12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
24: 12T10, 12T10, 12T10, 12T10
36: 6T9, 6T9, 6T9, 6T9, 6T9, 6T9
72: 12T37, 12T37, 12T37, 12T37, 12T37, 12T37
216: 12T117, 12T117, 12T117, 12T117
1691/2[3^4:2]cD(4)648 = 23 · 34-112T1, 4T3 12T169, 18T210, 18T2102: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
8: 4T3
12: 6T3, 6T3
24: 12T12, 12T13
36: 6T9
72: 6T13, 12T38
216: 12T116, 12T118
170[3^4:2]4648 = 23 · 34-112T1, 4T1 12T170, 12T170, 12T170, 18T195, 18T195, 18T195, 18T1952: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
6: 3T2, 3T2
8: 8T2
12: 6T3, 6T3
24: 12T11, 12T11
36: 6T9, 6T10
72: 12T39, 12T40
216: 12T119, 12T119
171[3^4:2]E(4)_2648 = 23 · 34112T1, 2T1, 2T1, 4T2 12T171, 12T171, 12T171, 12T171, 12T171, 12T171, 12T171, 18T190, 18T190, 18T190, 18T190, 18T190, 18T190, 18T190, 18T190, 18T192, 18T192, 18T192, 18T192, 18T192, 18T192, 18T192, 18T1922: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 8T2
36: 6T10, 6T10
72: 12T40, 12T40
1721/2[3^4:2^2]E(4)648 = 23 · 34112T1, 2T1, 2T1, 4T2 12T172, 12T172, 12T172, 12T172, 12T172, 18T213, 18T213, 18T214, 18T214, 18T214, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T216, 18T2162: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
72: 6T13, 6T13, 6T13, 6T13
173[3^4:2]4_4648 = 23 · 34112T1, 4T1 12T173, 12T173, 12T173, 12T173, 12T173, 12T173, 12T173, 18T196, 18T196, 18T196, 18T1962: 2T1
4: 4T1
8: 8T1
72: 9T15, 9T15
174[3^4:2]E(4)_4648 = 23 · 34112T1, 2T1, 2T1, 4T2 12T174, 12T174, 12T174, 12T174, 12T174, 18T212, 18T212, 18T212, 18T212, 18T212, 18T212, 18T212, 18T212, 18T2122: 2T1, 2T1, 2T1
4: 4T2
8: 8T5
72: 9T14, 9T14, 9T14, 9T14
175[3^3]S(4)648 = 23 · 34-134T5 9T29, 18T219, 18T220, 18T223, 18T2242: 2T1
6: 3T2
24: 4T5
176[3^3:2]A(4)648 = 23 · 34114T4 9T28, 18T197, 18T197, 18T198, 18T198, 18T202, 18T204, 18T206, 18T2072: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
177[3^3]S(4)_6648 = 23 · 34-114T5 9T30, 12T177, 12T178, 18T217, 18T218, 18T221, 18T2222: 2T1
6: 3T2
24: 4T5
1781/2[3^3:2]S(4)648 = 23 · 34-114T5 9T30, 12T177, 12T177, 18T217, 18T218, 18T221, 18T2222: 2T1
6: 3T2
24: 4T5
179L(2,11)660 = 22 · 3 · 5 · 1111  11T5, 11T5 
180A(6)[x]2720 = 24 · 32 · 5122T1, 6T15 12T180, 20T151, 20T1522: 2T1
360: 6T15
181M_10(12)=[A_6[1/360]{M_10}A_6]2_2720 = 24 · 32 · 5112T1 10T31, 20T148, 20T150, 20T1502: 2T1
182PGL(2,9)(12)=[A_6[1/360]{M_10}A_6]2720 = 24 · 32 · 5112T1 10T30, 20T1462: 2T1
183S_6(12)720 = 24 · 32 · 5122T1, 6T16 6T16, 6T16, 10T32, 12T183, 15T28, 15T28, 20T145, 20T149, 20T1492: 2T1
184[2^5]S_4(6d)768 = 28 · 3123T2, 6T7 12T184, 12T184, 12T184, 12T190, 12T190, 12T190, 12T190, 12T191, 12T191, 12T191, 12T1912: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
96: 8T34
192: 8T39
384: 16T776
185[1/4.cD(4)^3]S(3)768 = 28 · 3-123T2, 6T11 12T185, 12T185, 12T185, 12T185, 12T185, 12T185, 12T1852: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 4T3, 4T3, 8T3
12: 6T3, 6T3, 6T3
16: 8T9
24: 4T5, 12T10
48: 6T11, 6T11, 6T11, 12T28
96: 12T48
192: 12T86, 12T112
384: 12T138
186[1/4.eD(4)^3]S(3)768 = 28 · 3-123T2, 6T11 12T186, 12T186, 12T186, 12T193, 12T193, 12T193, 12T193, 16T1053, 16T1053, 16T1053, 16T10532: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 4T3, 4T3, 8T3
12: 6T3, 6T3, 6T3
16: 8T9
24: 4T5, 12T10
48: 6T11, 6T11, 6T11, 12T28
96: 12T48
192: 8T41, 12T86
384: 12T136
187[2^5]2A_4(6)768 = 28 · 3123T1, 6T6 12T187, 12T187, 12T187, 12T187, 12T187, 12T187, 12T187, 12T188, 12T188, 12T188, 12T188, 12T188, 12T188, 12T188, 12T1882: 2T1
3: 3T1
6: 6T1
12: 4T4, 4T4, 4T4, 4T4, 4T4
24: 6T6, 6T6, 6T6, 6T6, 6T6
48: 12T32
96: 8T32, 8T32, 12T56
192: 16T424
384: 16T731
188[2^6]A_4=2wrA_4(6)768 = 28 · 3-123T1, 6T4 12T187, 12T187, 12T187, 12T187, 12T187, 12T187, 12T187, 12T187, 12T188, 12T188, 12T188, 12T188, 12T188, 12T188, 12T1882: 2T1
3: 3T1
6: 6T1
12: 4T4, 4T4, 4T4, 4T4, 4T4
24: 6T6, 6T6, 6T6, 6T6, 6T6
48: 12T32
96: 8T32, 8T32, 12T56
192: 16T424
384: 16T731
189[1/2.cD(4)^3]3768 = 28 · 3-123T1, 6T6 12T189, 12T189, 12T189, 12T189, 12T189, 12T189, 12T189, 12T189, 12T189, 12T189, 12T189, 12T189, 12T189, 12T189, 12T1892: 2T1
3: 3T1
6: 6T1
12: 4T4, 4T4, 4T4, 4T4, 4T4
24: 6T6, 6T6, 6T6, 6T6, 6T6
48: 12T32
96: 12T56
192: 16T423
384: 24T980
1901/2[2^6]S_4(6d)768 = 28 · 3-123T2, 6T7 12T184, 12T184, 12T184, 12T184, 12T190, 12T190, 12T190, 12T191, 12T191, 12T191, 12T1912: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
96: 8T34
192: 8T39
384: 16T776
191[2^5]S_4(6c)768 = 28 · 3123T2, 6T8 12T184, 12T184, 12T184, 12T184, 12T190, 12T190, 12T190, 12T190, 12T191, 12T191, 12T1912: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
96: 8T34
192: 8T39
384: 16T776
1921/2[2^6]S_4(6c)768 = 28 · 3-123T2, 6T8 12T192, 12T192, 12T1922: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
96: 8T34
192: 16T441
384: 16T776
193[2^6]D(6)=2wrD(6)768 = 28 · 3-122T1, 3T2, 6T3 12T186, 12T186, 12T186, 12T186, 12T193, 12T193, 12T193, 16T1053, 16T1053, 16T1053, 16T10532: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 4T3, 4T3, 8T3
12: 6T3, 6T3, 6T3
16: 8T9
24: 4T5, 12T10
48: 6T11, 6T11, 6T11, 12T28
96: 12T48
192: 8T41, 12T86
384: 12T136
194[3^4]A(4)=3wrA(4)972 = 22 · 35134T4 12T194, 12T194, 12T194, 12T194, 12T194, 18T2423: 3T1, 3T1, 3T1, 3T1
9: 9T2
12: 4T4
36: 12T20
324: 9T25
195[2^5]F_18(6):21152 = 27 · 32122T1, 6T9 12T195, 16T1288, 16T1288, 18T267, 18T267, 18T267, 18T2672: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2, 3T2
8: 8T3
12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
24: 12T10, 12T10
36: 6T9
72: 12T37
576: 8T45
196[2^5]F_18:2_21152 = 27 · 32-122T1, 6T9 12T196, 16T1293, 16T12932: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
8: 4T3
12: 6T3, 6T3
24: 12T12, 12T13
36: 6T9
72: 12T38
576: 8T45
1971/2[2^6]F_18:21152 = 27 · 32-122T1, 6T9 12T197, 16T1289, 16T12892: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
6: 3T2, 3T2
8: 8T2
12: 6T3, 6T3
24: 12T11, 12T11
36: 6T9
72: 12T39
576: 8T45
1981/2[2^6]F_361152 = 27 · 32-122T1, 6T10 12T199, 16T1287, 16T1290, 18T265, 18T2652: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 8T2
36: 6T10
72: 12T40
576: 8T46
199[2^5]F_36(6)1152 = 27 · 32122T1, 6T10 12T198, 16T1287, 16T1290, 18T265, 18T2652: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 8T2
36: 6T10
72: 12T40
576: 8T46
200[S_4(6c)^2]2=S_4(6c)wr21152 = 27 · 32-122T1, 6T13 8T47, 12T201, 12T202, 12T203, 16T1292, 16T1294, 16T1295, 16T1296, 18T272, 18T273, 18T274, 18T2752: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
72: 6T13
201[2^4]F_36:2_41152 = 27 · 32-122T1, 6T13 8T47, 12T200, 12T202, 12T203, 16T1292, 16T1294, 16T1295, 16T1296, 18T272, 18T273, 18T274, 18T2752: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
72: 6T13
202[2^4]F_36:2_21152 = 27 · 32122T1, 6T13 8T47, 12T200, 12T201, 12T203, 16T1292, 16T1294, 16T1295, 16T1296, 18T272, 18T273, 18T274, 18T2752: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
72: 6T13
203[S_4(6d)^2]2=S_4(6d)wr21152 = 27 · 32122T1, 6T13 8T47, 12T200, 12T201, 12T202, 16T1292, 16T1294, 16T1295, 16T1296, 18T272, 18T273, 18T274, 18T2752: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
72: 6T13
204[1/9.A(4)^3]S(3)_21152 = 27 · 32-113T2 18T276, 18T2792: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
24: 4T5, 4T5, 4T5
72: 12T44, 12T44, 12T44
288: 12T127, 12T127, 12T127
205[E(4)^3:3:2]31152 = 27 · 32-113T1 18T269, 18T2702: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
24: 4T5
72: 12T45
288: 8T42
206[1/9.A(4)^3]S(3)1152 = 27 · 32113T2 12T206, 12T206, 18T268, 18T268, 18T268, 18T271, 18T271, 18T2712: 2T1
3: 3T1
6: 3T2, 6T1
12: 4T4
18: 6T5
24: 6T6
72: 12T43
288: 8T42
207[1/9.A(4)^3]S(3)_61152 = 27 · 32-113T2 12T207, 12T207, 12T207, 12T207, 12T207, 12T207, 18T277, 18T277, 18T277, 18T277, 18T277, 18T277, 18T277, 18T278, 18T278, 18T278, 18T278, 18T278, 18T278, 18T2782: 2T1
6: 3T2
18: 9T3
208[2A_4^2]2=2A4wr2=2wrF_18(6)1152 = 27 · 32-122T1, 6T5 12T208, 16T1286, 16T12862: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
8: 4T3
12: 6T3, 12T2
18: 6T5
24: 12T13, 12T14
36: 12T18
72: 12T42
288: 8T42
576: 12T158
2091/2[3^4:2^2]cD(4)1296 = 24 · 34-112T1, 4T3 12T209, 12T209, 12T209, 18T296, 18T296, 18T296, 18T2962: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
36: 6T10
72: 6T13, 12T40
144: 12T79, 12T82
210[3^4:2^2]E(4)1296 = 24 · 34112T1, 2T1, 2T1, 4T2 12T210, 12T210, 12T210, 18T287, 18T287, 18T287, 18T287, 18T292, 18T292, 18T292, 18T2922: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 8T3
16: 8T9
72: 6T13, 6T13
144: 12T77, 12T77
211[3^4:2^2]41296 = 24 · 34-112T1, 4T1 12T211, 18T295, 18T2952: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
72: 6T13, 6T13
144: 12T79, 12T79
212[3^4:2]D(4)_81296 = 24 · 34112T1, 4T3 12T212, 18T307, 18T3182: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
16: 8T8
144: 9T19, 9T19
213[3^3:2]S(4)1296 = 24 · 34-114T5 9T31, 18T300, 18T303, 18T311, 18T312, 18T314, 18T315, 18T319, 18T3202: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
214[1/2.F_36^2]21296 = 24 · 34112T1, 2T1, 2T1, 4T2 12T214, 12T214, 12T214, 12T214, 12T214, 18T290, 18T290, 18T290, 18T290, 18T290, 18T290, 18T291, 18T291, 18T291, 18T294, 18T2942: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 8T3
16: 8T11
2151/2[F_36^2]21296 = 24 · 34112T1, 4T1 12T215, 18T288, 18T297, 18T2972: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 8T2
16: 8T7
216[3^4:2]D(4)_41296 = 24 · 34112T1, 4T3 12T216, 12T216, 12T216, 12T216, 12T216, 12T216, 12T216, 18T298, 18T304, 18T304, 18T304, 18T3042: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
16: 8T6
217[3^4:2]D(4)1296 = 24 · 34-112T1, 4T3 12T217, 18T289, 18T2892: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2, 3T2
8: 4T3, 4T3, 8T3
12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
16: 8T9
24: 12T10, 12T10
36: 6T9
48: 12T28, 12T28
72: 6T13, 12T37
144: 12T77, 12T81
432: 12T156, 12T156
218PGL(2,11)1320 = 23 · 3 · 5 · 11-11  22T142: 2T1
219S(6)[x]21440 = 25 · 32 · 5122T1, 6T16 12T219, 12T219, 12T219, 20T198, 20T198, 20T199, 20T1992: 2T1, 2T1, 2T1
4: 4T2
720: 6T16
220M_10.2(12)=A_6.E_4(12)=[S_6[1/720]{M_10}S_6]21440 = 25 · 32 · 5112T1 10T35, 20T201, 20T204, 20T2082: 2T1, 2T1, 2T1
4: 4T2
221[1/2.cD(4)^3]S(3)1536 = 29 · 3-123T2, 6T11 12T221, 12T221, 12T221, 12T221, 12T221, 12T221, 12T2212: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
192: 12T100
384: 16T763
768: 24T2216
222[D(4)^4]3=D(4)wr31536 = 29 · 3-123T1, 6T6 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T222, 12T2222: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 4T4, 4T4, 4T4, 4T4, 4T4, 12T2
24: 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6, 6T6
48: 12T25, 12T25, 12T25, 12T25, 12T25, 12T32
96: 12T56, 12T56, 12T56
192: 12T90
384: 16T718
768: 24T1654
2231/2e[D(4)^3]S(3)1536 = 29 · 3-123T2, 6T11 12T223, 12T223, 12T223, 12T224, 12T224, 12T224, 12T2242: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
192: 12T100
384: 16T751
768: 16T1063
224[2^6]S_4(6c)=2wrS_4(6c)1536 = 29 · 3-123T2, 6T8 12T223, 12T223, 12T223, 12T223, 12T224, 12T224, 12T2242: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
192: 12T100
384: 16T751
768: 16T1063
2251/2c[D(4)^3]S(3)1536 = 29 · 3-123T2, 6T11 12T225, 12T225, 12T225, 12T225, 12T225, 12T225, 12T225, 12T225, 12T225, 12T225, 12T225, 12T225, 12T225, 12T225, 12T2252: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
192: 12T100
384: 16T764
768: 24T2216
226[2^5]2S_4(6)1536 = 29 · 3123T2, 6T11 12T226, 12T226, 12T226, 12T226, 12T226, 12T226, 12T226, 12T227, 12T227, 12T227, 12T227, 12T227, 12T227, 12T227, 12T2272: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
192: 8T39, 8T39, 12T100
384: 16T747
768: 16T1063
227[2^6]S_4(6d)=2wrS_4(6d)1536 = 29 · 3-123T2, 6T7 12T226, 12T226, 12T226, 12T226, 12T226, 12T226, 12T226, 12T226, 12T227, 12T227, 12T227, 12T227, 12T227, 12T227, 12T2272: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5, 4T5, 4T5
48: 6T11, 6T11, 6T11
96: 8T34
192: 8T39, 8T39, 12T100
384: 16T747
768: 16T1063
2281/3[A(4)^3]31728 = 26 · 33113T1 18T3353: 3T1, 3T1, 3T1, 3T1
9: 9T2
27: 9T6
229[1/3.A(4)^3]31728 = 26 · 33113T1 12T229, 12T229, 12T229, 18T334, 18T334, 18T334, 18T3343: 3T1, 3T1, 3T1, 3T1
9: 9T2
27: 9T7
230[2^5]L(6)1920 = 27 · 3 · 5126T12 12T230, 20T228, 20T22860: 5T4
960: 16T1080
231[3^4]S(4)=3wrS(4)1944 = 23 · 35-134T5 12T231, 18T3492: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
24: 4T5
72: 12T45
648: 9T29
232[3^4:2]A(4)_41944 = 23 · 35114T4 12T232, 12T2323: 3T1
12: 4T4
24: 8T12
216: 9T23
2331/2[3^4:2]S(4)1944 = 23 · 35-114T5 12T233, 12T233, 12T233, 12T233, 12T233, 18T3592: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
24: 4T5
72: 12T44
648: 9T30
234[3^4:2]A(4)1944 = 23 · 35114T4 12T234, 18T3482: 2T1
3: 3T1
6: 3T2, 6T1
12: 4T4
18: 6T5
24: 6T6
72: 12T43
648: 9T28
235[2^5]F_36:2_2{S_3^2,t}2304 = 28 · 32-122T1, 6T13 12T235, 12T236, 12T236, 16T1493, 16T1493, 16T1494, 16T1494, 18T370, 18T370, 18T370, 18T3702: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 8T3
16: 8T9
72: 6T13
144: 12T77
1152: 8T47
236[2^5]F_36(6):22304 = 28 · 32122T1, 6T13 12T235, 12T235, 12T236, 16T1493, 16T1493, 16T1494, 16T1494, 18T370, 18T370, 18T370, 18T3702: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 8T3
16: 8T9
72: 6T13
144: 12T77
1152: 8T47
237[2^5]F_36:2_2{S_3^2,i}2304 = 28 · 32-122T1, 6T13 12T237, 12T238, 12T238, 16T1496, 16T1496, 16T1497, 16T14972: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
72: 6T13
144: 12T79
1152: 8T47
238[2^5]F_36:2_2{3^2:4}2304 = 28 · 32-122T1, 6T13 12T237, 12T237, 12T238, 16T1496, 16T1496, 16T1497, 16T14972: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
72: 6T13
144: 12T79
1152: 8T47
239[E(4)^3:3:2]32304 = 28 · 32-113T2 18T371, 18T373, 18T374, 18T3762: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
12: 6T3, 6T3
24: 4T5
36: 6T9
48: 6T11
144: 12T83
576: 8T45
240[2^6]F_18:2=2wrF_18(6):22304 = 28 · 32-122T1, 6T9 12T240, 12T240, 12T240, 16T1498, 16T1498, 16T1498, 16T14982: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2, 3T2
8: 4T3, 4T3, 8T3
12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
16: 8T9
24: 12T10, 12T10
36: 6T9
48: 12T28, 12T28
72: 12T37
144: 12T81
576: 8T45
1152: 12T195
241[2^6]F_36=2wrF_36(6)2304 = 28 · 32-122T1, 6T10 12T241, 12T241, 12T241, 16T1495, 16T1495, 16T1495, 16T14952: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
36: 6T10
72: 12T40
144: 12T82
576: 8T46
1152: 12T198
242[3^4:2^3]E(4)2592 = 25 · 34112T1, 2T1, 2T1, 4T2 12T242, 12T242, 12T242, 12T242, 12T242, 18T379, 18T379, 18T379, 18T379, 18T379, 18T379, 18T379, 18T379, 18T3792: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
16: 16T3
32: 8T22
243[3^4:2^2]D(4)_42592 = 25 · 34112T1, 4T3 12T243, 18T385, 18T385, 18T3912: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 8T3
16: 8T9
32: 8T15
2441/2[S(3)^4]42592 = 25 · 34112T1, 4T1 12T244, 18T3872: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
32: 8T16
245[3^4:2^3]42592 = 25 · 34-112T1, 4T1 12T246, 12T247, 12T247, 18T384, 18T390, 18T3902: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
32: 8T19
2461/2[S(3)^4]E(4)2592 = 25 · 34-112T1, 2T1, 2T1, 4T2 12T245, 12T247, 12T247, 18T384, 18T390, 18T3902: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
32: 8T19
247[3^4:2^2]D(4)_22592 = 25 · 34-112T1, 4T3 12T245, 12T246, 12T247, 18T384, 18T390, 18T3902: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
32: 8T19
248[3^4:2^2]D(4)2592 = 25 · 34-112T1, 4T3 12T248, 18T388, 18T3882: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
16: 8T9, 8T9, 8T9
32: 8T18
72: 6T13, 6T13
144: 12T77, 12T77
288: 12T125, 12T125
249[F_36^2]2=F_36wr22592 = 25 · 34112T1, 4T3 12T249, 18T3982: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
32: 8T17
250[D(4)^4]S(3)=D(4)wrS(3)3072 = 210 · 3-123T2, 6T11 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T2502: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 8T3
12: 6T3, 6T3, 6T3
24: 4T5, 4T5, 4T5, 12T10
48: 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11
96: 8T34, 12T48, 12T48, 12T48
192: 12T100, 12T100, 12T100
384: 12T139
768: 16T1055
1536: 24T3386
251[1/3.A(4)^3]S(3)_23456 = 27 · 33-113T2 12T253, 18T430, 18T431, 18T432, 18T4352: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
54: 9T11
252[1/3.A(4)^3]S(3)3456 = 27 · 33113T2 12T252, 12T252, 12T252, 18T436, 18T436, 18T436, 18T436, 18T437, 18T437, 18T437, 18T4372: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
54: 9T12
253[E(4)^3:3^2:2]33456 = 27 · 33-113T1 12T251, 18T430, 18T431, 18T432, 18T4352: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
54: 9T11
254[1/3.A(4)^3]S(3)_63456 = 27 · 33-113T2 18T433, 18T4342: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
54: 9T10
255[2^6]L(6)=2wrL(6)3840 = 28 · 3 · 5-126T12 12T255, 12T255, 12T255, 20T280, 20T280, 20T280, 20T2802: 2T1
60: 5T4
120: 10T11
1920: 20T220
2561/2[2^6]L(6):23840 = 28 · 3 · 5-126T14 12T2562: 2T1
120: 5T5
1920: 16T1329
257[2^5]L(6):23840 = 28 · 3 · 5126T14 12T257, 20T281, 20T281, 20T291, 20T2912: 2T1
120: 5T5
1920: 16T1329
258[3^4:2]S(4)3888 = 24 · 35-114T5 12T258, 18T4482: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
12: 6T3, 6T3
24: 4T5
36: 6T9
48: 6T11
144: 12T83
1296: 9T31
259[3^4:2]S(4)_83888 = 24 · 35114T5  2: 2T1
6: 3T2
24: 4T5
48: 8T23
432: 9T26
260[2S_4^2]2=2S_4wr24608 = 29 · 32-122T1, 6T13 12T260, 12T260, 12T260, 12T260, 12T260, 12T260, 12T260, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648, 16T16482: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
16: 8T9, 8T9, 8T9
32: 8T18
72: 6T13
144: 12T77
288: 12T125
1152: 8T47
2304: 12T235
261[S(3)^4]E(4)=S(3)wrE(4)5184 = 26 · 34-112T1, 2T1, 2T1, 4T2 12T267, 12T267, 12T267, 18T481, 18T481, 18T4812: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
16: 8T9, 8T9, 8T9
32: 8T18
64: 8T29
2621/2[S(3)^4]dD(4)5184 = 26 · 34-112T1, 4T3 12T264, 18T4822: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
32: 8T19
64: 8T27
2631/2[S(3)^4]cD(4)5184 = 26 · 34-112T1, 4T3 12T263, 18T4772: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
32: 8T19
64: 8T30
264[S(3)^4]4=S(3)wr45184 = 26 · 34-112T1, 4T1 12T262, 18T4822: 2T1, 2T1, 2T1
4: 4T1, 4T1, 4T2
8: 4T3, 4T3, 8T2
16: 8T10
32: 8T19
64: 8T27
265[A(4)^3]3=A(4)wr35184 = 26 · 34113T1 18T4733: 3T1, 3T1, 3T1, 3T1
9: 9T2
27: 9T7
81: 9T17
2661/2[S(3)^4]eD(4)5184 = 26 · 34112T1, 4T3 12T266, 18T4742: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
16: 8T9, 8T9, 8T9
32: 8T18
64: 8T26
267[3^4:2^3]D(4)5184 = 26 · 34-112T1, 4T3 12T261, 12T267, 12T267, 18T481, 18T481, 18T4812: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
16: 8T9, 8T9, 8T9
32: 8T18
64: 8T29
268[E(4)^3:3^2:2]S(3)6912 = 28 · 33-113T2 12T268, 18T517, 18T517, 18T518, 18T518, 18T519, 18T519, 18T520, 18T5202: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
12: 6T3, 6T3
36: 6T9
108: 9T18
269[L(6)^2]2=L(6)wr27200 = 25 · 32 · 52112T1 10T40, 20T3632: 2T1
270[2^6]L(6):2=2wrL(6):27680 = 29 · 3 · 5-126T14 12T270, 12T270, 12T2702: 2T1, 2T1, 2T1
4: 4T2
120: 5T5
240: 10T22
3840: 20T276
271[3^4:2^3]A(4)7776 = 25 · 35114T4 12T271, 12T2713: 3T1
12: 4T4, 4T4, 4T4, 4T4, 4T4
48: 12T32
96: 8T32
272M_11(12)7920 = 24 · 32 · 5 · 1111  11T6, 22T22 
273[1/4.S(4)^3]310368 = 27 · 34-113T1 18T565, 18T5672: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
54: 9T11
162: 9T22
274[S(3)^4]D(4)=S(3)wrD(4)10368 = 27 · 34-112T1, 4T3 12T274, 18T5552: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
16: 8T9, 8T9, 8T9
32: 8T18
64: 8T29
128: 8T35
275[A(4)^3]S(3)=A(4)wrS(3)10368 = 27 · 34113T2 18T564, 18T5662: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
54: 9T11
162: 9T20
2761/2[1/4.S(4)^3]S(3)10368 = 27 · 34-113T2 18T568, 18T5692: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
54: 9T12
162: 9T21
277[2^5]A(6)11520 = 28 · 32 · 5126T15 20T452, 20T452360: 6T15
5760: 16T1654
2781/2[(L(6):2)^2]214400 = 26 · 32 · 52-112T1 10T42, 20T457, 20T4612: 2T1
4: 4T1
279[1/2.(L(6):2)^2]214400 = 26 · 32 · 52112T1 10T41, 20T456, 20T4592: 2T1, 2T1, 2T1
4: 4T2
280[S(3)^4]A(4)=S(3)wrA(4)15552 = 26 · 35-114T4  2: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
96: 8T33
192: 8T38
281[3^4:2^3]S(4)15552 = 26 · 35-114T5 12T281, 12T2812: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
96: 8T34
192: 8T39
2821/2[S(3)^4]S(4)15552 = 26 · 35114T5  2: 2T1
6: 3T2
24: 4T5, 4T5, 4T5
96: 8T34
192: 8T40
283[1/4.S(4)^3]S(3)20736 = 28 · 34-113T2 18T640, 18T641, 18T642, 18T6432: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2
12: 6T3, 6T3
36: 6T9
108: 9T18
324: 9T24
284[1/2.S(4)^3]320736 = 28 · 34113T1 18T645, 18T646, 18T647, 18T6473: 3T1
12: 4T4
324: 9T25
285[2^5]S(6)23040 = 29 · 32 · 5126T16 12T285, 20T531, 20T531, 20T531, 20T5312: 2T1
720: 6T16
11520: 16T1753
286[2^6]A(6)=2wrA(6)23040 = 29 · 32 · 5-126T15 12T2862: 2T1
360: 6T15
720: 12T180
11520: 30T741
2871/2[2^6]S(6)23040 = 29 · 32 · 5-126T16 12T2872: 2T1
720: 6T16
11520: 30T738
288[(L(6):2)^2]2=L(6):2wr228800 = 27 · 32 · 52-112T1 10T43, 20T539, 20T540, 20T542, 20T5442: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
289[S(3)^4]S(4)=S(3)wrS(4)31104 = 27 · 35-114T5  2: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
192: 8T41
384: 8T44
290[1/2.S(4)^3]S(3)41472 = 29 · 34113T2 18T712, 18T716, 18T718, 18T7202: 2T1
6: 3T2
24: 4T5
648: 9T29
2911/2[S(4)^3]S(3)41472 = 29 · 34-113T2 18T713, 18T714, 18T715, 18T7212: 2T1
6: 3T2
24: 4T5
648: 9T30
292[S(4)^3]3=S(4)wr341472 = 29 · 34-113T1 18T702, 18T702, 18T703, 18T706, 18T706, 18T707, 18T708, 18T7092: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
648: 9T28
293[2^6]S(6)=2wrS(6)46080 = 210 · 32 · 5-126T16 12T293, 12T293, 12T2932: 2T1, 2T1, 2T1
4: 4T2
720: 6T16
1440: 12T219
23040: 30T937
294[S(4)^3]S(3)=S(4)wrS(3)82944 = 210 · 34-113T2 18T770, 18T773, 18T776, 18T777, 18T779, 18T780, 18T783, 18T7852: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
1296: 9T31
295M(12)95040 = 26 · 33 · 5 · 1111  12T295 
296[A(6)^2]2=A(6)wr2259200 = 27 · 34 · 52112T1 12T296, 20T8882: 2T1
297[1/2.S(6)^2]2518400 = 28 · 34 · 52112T1 12T297, 20T9342: 2T1, 2T1, 2T1
4: 4T2
2981/2[S(6)^2]2518400 = 28 · 34 · 52-112T1 12T298, 20T9372: 2T1
4: 4T1
299[S(6)^2]2=S(6)wr21036800 = 29 · 34 · 52-112T1 12T299, 20T9732: 2T1, 2T1, 2T1
4: 4T2
8: 4T3
300A12239500800 = 29 · 35 · 52 · 7 · 1111    
301S12479001600 = 210 · 35 · 52 · 7 · 11-11   2: 2T1