Transitive Subgroups of S21

TName(s)|G|Parity|CS21(G)|SubfieldsOther RepresentationsResolvents
1t21n121 = 3 · 71213T1, 7T1  3: 3T1
7: 7T1
2t21n221 = 3 · 71213T1, 7T3 7T33: 3T1
3t21n342 = 2 · 3 · 7-133T1, 7T2  2: 2T1
3: 3T1
6: 6T1
14: 7T2
4t21n442 = 2 · 3 · 7-133T1, 7T4 7T4, 14T42: 2T1
3: 3T1
6: 6T1
5t21n542 = 2 · 3 · 7113T2, 7T2  2: 2T1
6: 3T2
14: 7T2
6t21n642 = 2 · 3 · 7-173T2, 7T1  2: 2T1
6: 3T2
7: 7T1
14: 14T1
7t21n763 = 32 · 7133T1, 7T3 21T7, 21T73: 3T1, 3T1, 3T1, 3T1
9: 9T2
21: 7T3
8t21n884 = 22 · 3 · 7-113T2, 7T2  2: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
14: 7T2
28: 14T3
9t21n9126 = 2 · 32 · 7-133T1, 7T4 21T9, 21T92: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
18: 18T2
42: 7T4
10t21n10126 = 2 · 32 · 7113T2, 7T4  2: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
42: 7T4
11t21n11126 = 2 · 32 · 7-113T2, 7T3  2: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
21: 7T3
42: 14T5
12t21n12147 = 3 · 72173T1 21T123: 3T1
21: 7T3, 7T3
13t21n13147 = 3 · 72173T1 21T133: 3T1
7: 7T1
21: 7T3, 21T1
14t21n14168 = 23 · 3 · 7117T5, 7T5 7T5, 7T5, 8T37, 14T10, 14T10 
15t21n15252 = 22 · 32 · 7-113T2, 7T4  2: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
12: 6T3, 12T2
18: 6T5
36: 12T18
42: 7T4
84: 14T7
16t21n16294 = 2 · 3 · 72-113T1 21T162: 2T1
3: 3T1
6: 6T1
14: 7T2
42: 7T4, 21T3
17t21n17294 = 2 · 3 · 72113T2 14T15, 21T182: 2T1
6: 3T2
18t21n18294 = 2 · 3 · 72-173T2 14T15, 21T172: 2T1
6: 3T2
19t21n19294 = 2 · 3 · 72-113T1 21T192: 2T1
3: 3T1
6: 6T1
42: 7T4, 7T4
20t21n20336 = 24 · 3 · 7-11  8T43, 14T16, 16T7132: 2T1
21t21n21441 = 32 · 72113T1 21T213: 3T1, 3T1, 3T1, 3T1
9: 9T2
21: 7T3, 7T3
63: 21T7, 21T7
22t21n22504 = 23 · 32 · 7133T1, 7T5 21T223: 3T1
168: 7T5
23t21n23588 = 22 · 3 · 72-113T2 14T25, 21T232: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24t21n24882 = 2 · 32 · 72-113T1 21T242: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
18: 18T2
42: 7T4, 7T4
126: 21T9, 21T9
25t21n25882 = 2 · 32 · 72113T2 14T26, 21T262: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
26t21n26882 = 2 · 32 · 72-113T2 14T26, 21T252: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
27t21n271008 = 24 · 32 · 7-113T2, 7T5 21T272: 2T1
6: 3T2
168: 7T5
336: 14T17
28t21n281029 = 3 · 73173T1 21T28, 21T28, 21T28, 21T28, 21T28, 21T28, 21T28, 21T28, 21T28, 21T28, 21T283: 3T1
7: 7T1
21: 7T3, 7T3, 21T1
147: 21T12, 21T13, 21T13
29t21n291764 = 22 · 32 · 72-113T2 14T37, 21T292: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
12: 6T3, 12T2
18: 6T5
36: 12T18
30t21n302058 = 2 · 3 · 73113T2 21T30, 21T30, 21T30, 21T30, 21T302: 2T1
6: 3T2
14: 7T2
42: 21T5
294: 14T15
31t21n312058 = 2 · 3 · 73-113T1 21T31, 21T31, 21T31, 21T31, 21T31, 21T31, 21T31, 21T31, 21T31, 21T31, 21T312: 2T1
3: 3T1
6: 6T1
14: 7T2
42: 7T4, 7T4, 21T3
294: 21T16, 21T16, 21T19
32t21n322058 = 2 · 3 · 73-173T2 21T32, 21T32, 21T32, 21T32, 21T322: 2T1
6: 3T2
7: 7T1
14: 14T1
42: 21T6
294: 14T15
33t21n332520 = 23 · 32 · 5 · 711  7T6, 15T47, 15T47 
34t21n343087 = 32 · 73113T1 21T34, 21T34, 21T34, 21T34, 21T34, 21T34, 21T34, 21T34, 21T34, 21T34, 21T343: 3T1, 3T1, 3T1, 3T1
9: 9T2
21: 7T3, 7T3, 7T3
63: 21T7, 21T7, 21T7
441: 21T21, 21T21, 21T21
35t21n353087 = 32 · 73113T1 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T35, 21T353: 3T1
9: 9T1
36t21n364116 = 22 · 3 · 73113T1  3: 3T1
12: 4T4
37t21n374116 = 22 · 3 · 73-113T2 21T37, 21T37, 21T37, 21T37, 21T372: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
14: 7T2
28: 14T3
84: 21T8
588: 14T25
38t21n385040 = 24 · 32 · 5 · 7-11  7T7, 14T462: 2T1
39t21n395103 = 36 · 7137T1 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T39, 21T397: 7T1
40t21n406174 = 2 · 32 · 73-113T2 21T40, 21T40, 21T40, 21T40, 21T402: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
21: 7T3
42: 14T5
126: 21T11
882: 14T26
41t21n416174 = 2 · 32 · 73113T2 21T41, 21T41, 21T41, 21T41, 21T412: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
42: 7T4
126: 21T10
882: 14T26
42t21n426174 = 2 · 32 · 73-113T1 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T42, 21T422: 2T1
3: 3T1
6: 6T1
9: 9T1
18: 18T1
43t21n436174 = 2 · 32 · 73-113T1 21T43, 21T43, 21T43, 21T43, 21T43, 21T43, 21T43, 21T43, 21T43, 21T43, 21T432: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
18: 18T2
42: 7T4, 7T4, 7T4
126: 21T9, 21T9, 21T9
882: 21T24, 21T24, 21T24
44t21n447560 = 23 · 33 · 5 · 7133T1, 7T6  3: 3T1
2520: 7T6
45t21n458232 = 23 · 3 · 73-113T1  2: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
46t21n468232 = 23 · 3 · 73-113T2  2: 2T1
6: 3T2
24: 4T5
47t21n478232 = 23 · 3 · 73113T2  2: 2T1
6: 3T2
24: 4T5
48t21n489261 = 33 · 73113T1 21T48, 21T48, 21T483: 3T1, 3T1, 3T1, 3T1
9: 9T2
27: 9T7
49t21n499261 = 33 · 73113T1  3: 3T1, 3T1, 3T1, 3T1
9: 9T2
27: 9T6
50t21n5010206 = 2 · 36 · 7-117T1 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T50, 21T502: 2T1
7: 7T1
14: 14T1
51t21n5110206 = 2 · 36 · 7117T2 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T512: 2T1
14: 7T2
52t21n5210206 = 2 · 36 · 7-137T2 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T51, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T52, 21T522: 2T1
14: 7T2
53t21n5312348 = 22 · 32 · 73113T1  3: 3T1, 3T1, 3T1, 3T1
9: 9T2
12: 4T4
36: 12T20
54t21n5412348 = 22 · 32 · 73113T1  3: 3T1
9: 9T1
12: 4T4
36: 18T7
55t21n5512348 = 22 · 32 · 73-113T2 21T55, 21T55, 21T55, 21T55, 21T552: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
12: 6T3, 12T2
18: 6T5
36: 12T18
42: 7T4
84: 14T7
252: 21T15
1764: 14T37
56t21n5615120 = 24 · 33 · 5 · 7-133T1, 7T7  2: 2T1
3: 3T1
6: 6T1
5040: 7T7
57t21n5715120 = 24 · 33 · 5 · 7-113T2, 7T6  2: 2T1
6: 3T2
2520: 7T6
5040: 14T47
58t21n5815120 = 24 · 33 · 5 · 7113T2, 7T7  2: 2T1
6: 3T2
5040: 7T7
59t21n5915309 = 37 · 7137T3 21T60, 21T60, 21T59, 21T60, 21T59, 21T60, 21T60, 21T59, 21T60, 21T60, 21T603: 3T1
21: 7T3
60t21n6015309 = 37 · 7137T3 21T59, 21T60, 21T60, 21T59, 21T59, 21T60, 21T60, 21T60, 21T60, 21T59, 21T603: 3T1
21: 7T3
61t21n6115309 = 37 · 7137T1 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T61, 21T613: 3T1
7: 7T1
21: 21T1
5103: 21T39
62t21n6216464 = 24 · 3 · 73-113T2  2: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
63t21n6318522 = 2 · 33 · 73-113T1 21T63, 21T63, 21T632: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
18: 18T2
27: 9T7
54: 18T15
64t21n6418522 = 2 · 33 · 73113T2 21T64, 21T64, 21T642: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
54: 9T12
65t21n6518522 = 2 · 33 · 73-113T2 21T65, 21T65, 21T652: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
54: 9T12
66t21n6618522 = 2 · 33 · 73-113T1  2: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
18: 18T2
27: 9T6
54: 18T14
67t21n6720160 = 26 · 32 · 5 · 711  21T67 
68t21n6820412 = 22 · 36 · 7-117T2 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T68, 21T682: 2T1, 2T1, 2T1
4: 4T2
14: 7T2
28: 14T3
69t21n6924696 = 23 · 32 · 73-113T2  2: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
24: 4T5
72: 12T45
70t21n7024696 = 23 · 32 · 73-113T1  2: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
12: 4T4
18: 18T2
24: 6T6
36: 12T20
72: 18T25
71t21n7124696 = 23 · 32 · 73-113T1  2: 2T1
3: 3T1
6: 6T1
9: 9T1
12: 4T4
18: 18T1
24: 6T6
36: 18T7
72: 18T26
72t21n7224696 = 23 · 32 · 73113T2  2: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
24: 4T5
72: 12T45
73t21n7327783 = 34 · 73113T1  3: 3T1, 3T1, 3T1, 3T1
9: 9T2
27: 9T7
81: 9T17
74t21n7430240 = 25 · 33 · 5 · 7-113T2, 7T7  2: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
5040: 7T7
10080: 14T49
75t21n7530618 = 2 · 37 · 7117T2 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T75, 21T752: 2T1
6: 3T2
14: 7T2
42: 21T5
10206: 21T51
76t21n7630618 = 2 · 37 · 7-137T2 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T76, 21T762: 2T1
3: 3T1
6: 6T1
14: 7T2
42: 21T3
10206: 21T51
77t21n7730618 = 2 · 37 · 7-137T4 21T81, 21T77, 21T782: 2T1
3: 3T1
6: 6T1
42: 7T4
78t21n7830618 = 2 · 37 · 7117T4 21T77, 21T77, 21T812: 2T1
3: 3T1
6: 6T1
42: 7T4
79t21n7930618 = 2 · 37 · 7-117T3 21T79, 21T79, 21T792: 2T1
3: 3T1
6: 6T1
21: 7T3
42: 14T5
80t21n8030618 = 2 · 37 · 7-117T1 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T80, 21T802: 2T1
6: 3T2
7: 7T1
14: 14T1
42: 21T6
10206: 21T50
81t21n8130618 = 2 · 37 · 7-137T4 21T77, 21T77, 21T782: 2T1
3: 3T1
6: 6T1
42: 7T4
82t21n8237044 = 22 · 33 · 73-113T2 21T82, 21T82, 21T822: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2, 3T2, 3T2
12: 6T3, 6T3, 6T3, 6T3
18: 9T5
36: 18T12
54: 9T12
108: 18T52
83t21n8337044 = 22 · 33 · 73113T1  3: 3T1, 3T1, 3T1, 3T1
9: 9T2
12: 4T4
27: 9T6
36: 12T20
108: 18T47
84t21n8437044 = 22 · 33 · 73113T1  3: 3T1, 3T1, 3T1, 3T1
9: 9T2
12: 4T4
27: 9T7
36: 12T20
108: 18T48
85t21n8540320 = 27 · 32 · 5 · 7-11  21T852: 2T1
86t21n8645927 = 38 · 7137T3 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T86, 21T863: 3T1, 3T1, 3T1, 3T1
9: 9T2
21: 7T3
63: 21T7
15309: 21T59
87t21n8749392 = 24 · 32 · 73-113T2  2: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
12: 6T3, 12T2
18: 6T5
24: 4T5
36: 12T18
48: 6T11
72: 12T45
144: 18T61
88t21n8855566 = 2 · 34 · 73113T2  2: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
54: 9T11
162: 9T20
89t21n8955566 = 2 · 34 · 73-113T1  2: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
18: 18T2
27: 9T7
54: 18T15
81: 9T17
162: 18T75
90t21n9055566 = 2 · 34 · 73-113T2  2: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
54: 9T11
162: 9T20
91t21n9160480 = 26 · 33 · 5 · 711  21T913: 3T1
92t21n9261236 = 22 · 37 · 7-117T4 21T922: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 12T2
42: 7T4
84: 14T7
93t21n9361236 = 22 · 37 · 7-117T2 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T93, 21T932: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
14: 7T2
28: 14T3
84: 21T8
20412: 21T68
94t21n9474088 = 23 · 33 · 73-113T1  2: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
12: 4T4
18: 18T2
24: 6T6
27: 9T7
36: 12T20
54: 18T15
72: 18T25
108: 18T48
216: 18T91
95t21n9574088 = 23 · 33 · 73113T2  2: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
24: 4T5
54: 9T12
72: 12T44
216: 18T107
96t21n9674088 = 23 · 33 · 73-113T1  2: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
12: 4T4
18: 18T2
24: 6T6
27: 9T6
36: 12T20
54: 18T14
72: 18T25
108: 18T47
216: 18T92
97t21n9774088 = 23 · 33 · 73-113T2  2: 2T1
6: 3T2, 3T2, 3T2, 3T2
18: 9T5
24: 4T5
54: 9T12
72: 12T44
216: 18T107
98t21n9891854 = 2 · 38 · 7-137T4 21T98, 21T98, 21T98, 21T98, 21T982: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
18: 18T2
42: 7T4
126: 21T9
30618: 21T77
99t21n9991854 = 2 · 38 · 7117T4 21T992: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
42: 7T4
126: 21T10
30618: 21T77
100t21n10091854 = 2 · 38 · 7-117T3 21T100, 21T100, 21T100, 21T100, 21T100, 21T100, 21T1002: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
21: 7T3
42: 14T5
126: 21T11
30618: 21T79
101t21n101111132 = 22 · 34 · 73113T1  3: 3T1, 3T1, 3T1, 3T1
9: 9T2
12: 4T4
27: 9T7
36: 12T20
81: 9T17
108: 18T48
324: 18T127
102t21n102111132 = 22 · 34 · 73-113T2  2: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
12: 6T3, 12T2
18: 6T5
36: 12T18
54: 9T11
108: 18T41
162: 9T20
324: 18T119
103t21n103120960 = 27 · 33 · 5 · 7-11  21T1032: 2T1
6: 3T2
104t21n104122472 = 23 · 37 · 7137T5 21T104168: 7T5
105t21n105122472 = 23 · 37 · 7117T1  7: 7T1
56: 8T25
106t21n106148176 = 24 · 33 · 73-113T2  2: 2T1, 2T1, 2T1
4: 4T2
6: 3T2, 3T2, 3T2, 3T2
12: 6T3, 6T3, 6T3, 6T3
18: 9T5
24: 4T5
36: 18T12
48: 6T11
54: 9T12
72: 12T44
108: 18T52
144: 18T66
216: 18T107
432: 18T156
107t21n107183708 = 22 · 38 · 7-117T4 21T1072: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
12: 6T3, 12T2
18: 6T5
36: 12T18
42: 7T4
84: 14T7
252: 21T15
61236: 21T92
108t21n108222264 = 23 · 34 · 73113T2  2: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
24: 4T5
54: 9T11
72: 12T45
162: 9T20
216: 18T97
648: 18T203
109t21n109222264 = 23 · 34 · 73-113T1  2: 2T1
3: 3T1, 3T1, 3T1, 3T1
6: 6T1, 6T1, 6T1, 6T1
9: 9T2
12: 4T4
18: 18T2
24: 6T6
27: 9T7
36: 12T20
54: 18T15
72: 18T25
81: 9T17
108: 18T48
162: 18T75
216: 18T91
324: 18T127
648: 18T188
110t21n110222264 = 23 · 34 · 73-113T2  2: 2T1
3: 3T1
6: 3T2, 6T1
18: 6T5
24: 4T5
54: 9T11
72: 12T45
162: 9T20
216: 18T97
648: 18T203
111t21n111244944 = 24 · 37 · 7-117T5 21T1112: 2T1
168: 7T5
336: 14T17
112t21n112244944 = 24 · 37 · 7-117T1  2: 2T1
7: 7T1
14: 14T1
56: 8T25
112: 14T9
113t21n113367416 = 23 · 38 · 7117T5 21T113, 21T113, 21T113, 21T113, 21T113168: 7T5
114t21n114367416 = 23 · 38 · 7117T3  3: 3T1
21: 7T3
168: 8T36
115t21n115367416 = 23 · 38 · 7137T5 21T115, 21T115, 21T1153: 3T1
168: 7T5
504: 21T22
122472: 21T104
116t21n116444528 = 24 · 34 · 73-113T2  2: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 3T2, 6T1, 6T1, 6T1
12: 6T3, 12T2
18: 6T5
24: 4T5
36: 12T18
48: 6T11
54: 9T11
72: 12T45
108: 18T41
144: 18T61
162: 9T20
216: 18T97
324: 18T119
432: 18T149
648: 18T203
1296: 18T284
117t21n117734832 = 24 · 38 · 7-117T3  2: 2T1
3: 3T1
6: 6T1
21: 7T3
42: 14T5
168: 8T36
336: 14T18
118t21n118734832 = 24 · 38 · 7-117T5 21T118, 21T118, 21T1182: 2T1
6: 3T2
168: 7T5
336: 14T17
1008: 21T27
244944: 21T111
119t21n119734832 = 24 · 38 · 7-117T5 21T1192: 2T1
168: 7T5
336: 14T17
120t21n120979776 = 26 · 37 · 7117T1  7: 7T1
56: 8T25, 8T25
448: 14T21
121t21n1211837080 = 23 · 38 · 5 · 7137T6  2520: 7T6
122t21n1221959552 = 27 · 37 · 7-117T2  2: 2T1
14: 7T2
896: 14T27
123t21n1231959552 = 27 · 37 · 7-117T1  2: 2T1
7: 7T1
14: 14T1
56: 8T25, 8T25
112: 14T9, 14T9
448: 14T21
896: 14T29
124t21n1241959552 = 27 · 37 · 7117T2  2: 2T1
14: 7T2
896: 14T27
125t21n1252939328 = 26 · 38 · 7117T5  168: 7T5
1344: 8T48
126t21n1262939328 = 26 · 38 · 7117T5  168: 7T5
1344: 14T33
127t21n1272939328 = 26 · 38 · 7117T3  3: 3T1
21: 7T3
168: 8T36, 8T36
1344: 14T35
128t21n1283674160 = 24 · 38 · 5 · 7-117T6  2: 2T1
2520: 7T6
5040: 14T47
129t21n1293674160 = 24 · 38 · 5 · 7117T7  2: 2T1
5040: 7T7
130t21n1303674160 = 24 · 38 · 5 · 7-137T7  2: 2T1
5040: 7T7
131t21n1313919104 = 28 · 37 · 7-117T2  2: 2T1, 2T1, 2T1
4: 4T2
14: 7T2
28: 14T3
896: 14T27
1792: 14T38
132t21n1325511240 = 23 · 39 · 5 · 7137T6 21T1323: 3T1
2520: 7T6
7560: 21T44
1837080: 21T121
133t21n1335878656 = 27 · 38 · 7-117T4  2: 2T1
3: 3T1
6: 6T1
42: 7T4
2688: 14T40
134t21n1345878656 = 27 · 38 · 7117T4  2: 2T1
3: 3T1
6: 6T1
42: 7T4
2688: 14T40
135t21n1355878656 = 27 · 38 · 7-117T5  2: 2T1
168: 7T5
336: 14T17
1344: 14T33
2688: 14T42
136t21n1365878656 = 27 · 38 · 7-117T5  2: 2T1
168: 7T5
336: 14T17
1344: 8T48
2688: 14T43
137t21n1375878656 = 27 · 38 · 7-117T3  2: 2T1
3: 3T1
6: 6T1
21: 7T3
42: 14T5
168: 8T36, 8T36
336: 14T18, 14T18
1344: 14T35
2688: 14T44
138t21n1387348320 = 25 · 38 · 5 · 7-117T7  2: 2T1, 2T1, 2T1
4: 4T2
5040: 7T7
10080: 14T49
139t21n13911022480 = 24 · 39 · 5 · 7-137T7 21T1392: 2T1
3: 3T1
6: 6T1
5040: 7T7
15120: 21T56
3674160: 21T130
140t21n14011022480 = 24 · 39 · 5 · 7-117T6 21T1402: 2T1
6: 3T2
2520: 7T6
5040: 14T47
15120: 21T57
3674160: 21T128
141t21n14111022480 = 24 · 39 · 5 · 7117T7 21T1412: 2T1
6: 3T2
5040: 7T7
15120: 21T58
3674160: 21T129
142t21n14211757312 = 28 · 38 · 7-117T4  2: 2T1, 2T1, 2T1
3: 3T1
4: 4T2
6: 6T1, 6T1, 6T1
12: 12T2
42: 7T4
84: 14T7
2688: 14T40
5376: 14T48
143t21n14314224896 = 29 · 34 · 73113T1 21T1433: 3T1
144t21n14422044960 = 25 · 39 · 5 · 7-117T7 21T1442: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
5040: 7T7
10080: 14T49
30240: 21T74
7348320: 21T138
145t21n14523514624 = 29 · 38 · 7117T5  168: 7T5
1344: 8T48
10752: 14T50
146t21n14628449792 = 210 · 34 · 73-113T2 21T1462: 2T1
6: 3T2
147t21n14747029248 = 210 · 38 · 7-117T5  2: 2T1
168: 7T5
336: 14T17
1344: 8T48
2688: 14T43
10752: 14T50
21504: 14T51
148t21n148352719360 = 29 · 39 · 5 · 7117T6  2520: 7T6
161280: 14T53
149t21n149705438720 = 210 · 39 · 5 · 7-117T7  2: 2T1
5040: 7T7
322560: 14T54
150t21n150705438720 = 210 · 39 · 5 · 7117T7  2: 2T1
5040: 7T7
322560: 14T54
151t21n151705438720 = 210 · 39 · 5 · 7-117T6  2: 2T1
2520: 7T6
5040: 14T47
161280: 14T53
322560: 14T56
152t21n1521410877440 = 211 · 39 · 5 · 7-117T7  2: 2T1, 2T1, 2T1
4: 4T2
5040: 7T7
10080: 14T49
322560: 14T54
645120: 14T57
153t21n15348009024000 = 29 · 37 · 53 · 73113T1  3: 3T1
154t21n15496018048000 = 210 · 37 · 53 · 73-113T1  2: 2T1
3: 3T1
6: 6T1
155t21n15596018048000 = 210 · 37 · 53 · 73113T2  2: 2T1
6: 3T2
156t21n15696018048000 = 210 · 37 · 53 · 73-113T2  2: 2T1
6: 3T2
157t21n157192036096000 = 211 · 37 · 53 · 73-113T2  2: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
158t21n158192036096000 = 211 · 37 · 53 · 73113T1  3: 3T1
12: 4T4
159t21n159384072192000 = 212 · 37 · 53 · 73-113T1  2: 2T1
3: 3T1
6: 6T1
12: 4T4
24: 6T6
160t21n160384072192000 = 212 · 37 · 53 · 73-113T2  2: 2T1
6: 3T2
24: 4T5
161t21n161384072192000 = 212 · 37 · 53 · 73113T2  2: 2T1
6: 3T2
24: 4T5
162t21n162768144384000 = 213 · 37 · 53 · 73-113T2  2: 2T1, 2T1, 2T1
4: 4T2
6: 3T2
12: 6T3
24: 4T5
48: 6T11
163A2125545471085854720000 = 217 · 39 · 54 · 73 · 11 · 13 · 17 · 1911    
164S2151090942171709440000 = 218 · 39 · 54 · 73 · 11 · 13 · 17 · 19-11   2: 2T1