C₂×D₁₂₇₉₃ #72288732

order	51172
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

dihedral	D₂₅₅₈₆
direct product	C₂×D₁₂₇₉₃

Splittings

Fitting, socle	C₂×C₁₁×C₁₁₆₃ ⋊ C₂
derived, Hall	C₁₁×C₁₁₆₃ ⋊ C₂²
Sylow	C₁₁₆₃ ⋊ C₂×D₁₁
Sylow	C₁₁ ⋊ C₂×D₁₁₆₃

Subgroups

	subgroup	G/H
center, hypercenter	C₂	D₁₂₇₉₃
commutator, cosocle, hypocenter	C₁₁×C₁₁₆₃	C₂²
Frattini	C₁	G
Fitting, socle	C₂×C₁₁×C₁₁₆₃	C₂
LCS	G ▷ C₁₁×C₁₁₆₃
UCS	C₁ ◁ C₂

20 conjugacy classes of subgroups.

Full subgroup data →

Presentation

minimal degree	μ(G) = 1176
transitive degree	μ_t(G) = 25586

A minimal faithful permutation representation — 2 generators on 1176 points:

(1,2)(3,4,5,6,7,8,9,10,11,12,13)(14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176);(4,13)(5,12)(6,11)(7,10)(8,9)(15,1176)(16,1175)(17,1174)(18,1173)(19,1172)(20,1171)(21,1170)(22,1169)(23,1168)(24,1167)(25,1166)(26,1165)(27,1164)(28,1163)(29,1162)(30,1161)(31,1160)(32,1159)(33,1158)(34,1157)(35,1156)(36,1155)(37,1154)(38,1153)(39,1152)(40,1151)(41,1150)(42,1149)(43,1148)(44,1147)(45,1146)(46,1145)(47,1144)(48,1143)(49,1142)(50,1141)(51,1140)(52,1139)(53,1138)(54,1137)(55,1136)(56,1135)(57,1134)(58,1133)(59,1132)(60,1131)(61,1130)(62,1129)(63,1128)(64,1127)(65,1126)(66,1125)(67,1124)(68,1123)(69,1122)(70,1121)(71,1120)(72,1119)(73,1118)(74,1117)(75,1116)(76,1115)(77,1114)(78,1113)(79,1112)(80,1111)(81,1110)(82,1109)(83,1108)(84,1107)(85,1106)(86,1105)(87,1104)(88,1103)(89,1102)(90,1101)(91,1100)(92,1099)(93,1098)(94,1097)(95,1096)(96,1095)(97,1094)(98,1093)(99,1092)(100,1091)(101,1090)(102,1089)(103,1088)(104,1087)(105,1086)(106,1085)(107,1084)(108,1083)(109,1082)(110,1081)(111,1080)(112,1079)(113,1078)(114,1077)(115,1076)(116,1075)(117,1074)(118,1073)(119,1072)(120,1071)(121,1070)(122,1069)(123,1068)(124,1067)(125,1066)(126,1065)(127,1064)(128,1063)(129,1062)(130,1061)(131,1060)(132,1059)(133,1058)(134,1057)(135,1056)(136,1055)(137,1054)(138,1053)(139,1052)(140,1051)(141,1050)(142,1049)(143,1048)(144,1047)(145,1046)(146,1045)(147,1044)(148,1043)(149,1042)(150,1041)(151,1040)(152,1039)(153,1038)(154,1037)(155,1036)(156,1035)(157,1034)(158,1033)(159,1032)(160,1031)(161,1030)(162,1029)(163,1028)(164,1027)(165,1026)(166,1025)(167,1024)(168,1023)(169,1022)(170,1021)(171,1020)(172,1019)(173,1018)(174,1017)(175,1016)(176,1015)(177,1014)(178,1013)(179,1012)(180,1011)(181,1010)(182,1009)(183,1008)(184,1007)(185,1006)(186,1005)(187,1004)(188,1003)(189,1002)(190,1001)(191,1000)(192,999)(193,998)(194,997)(195,996)(196,995)(197,994)(198,993)(199,992)(200,991)(201,990)(202,989)(203,988)(204,987)(205,986)(206,985)(207,984)(208,983)(209,982)(210,981)(211,980)(212,979)(213,978)(214,977)(215,976)(216,975)(217,974)(218,973)(219,972)(220,971)(221,970)(222,969)(223,968)(224,967)(225,966)(226,965)(227,964)(228,963)(229,962)(230,961)(231,960)(232,959)(233,958)(234,957)(235,956)(236,955)(237,954)(238,953)(239,952)(240,951)(241,950)(242,949)(243,948)(244,947)(245,946)(246,945)(247,944)(248,943)(249,942)(250,941)(251,940)(252,939)(253,938)(254,937)(255,936)(256,935)(257,934)(258,933)(259,932)(260,931)(261,930)(262,929)(263,928)(264,927)(265,926)(266,925)(267,924)(268,923)(269,922)(270,921)(271,920)(272,919)(273,918)(274,917)(275,916)(276,915)(277,914)(278,913)(279,912)(280,911)(281,910)(282,909)(283,908)(284,907)(285,906)(286,905)(287,904)(288,903)(289,902)(290,901)(291,900)(292,899)(293,898)(294,897)(295,896)(296,895)(297,894)(298,893)(299,892)(300,891)(301,890)(302,889)(303,888)(304,887)(305,886)(306,885)(307,884)(308,883)(309,882)(310,881)(311,880)(312,879)(313,878)(314,877)(315,876)(316,875)(317,874)(318,873)(319,872)(320,871)(321,870)(322,869)(323,868)(324,867)(325,866)(326,865)(327,864)(328,863)(329,862)(330,861)(331,860)(332,859)(333,858)(334,857)(335,856)(336,855)(337,854)(338,853)(339,852)(340,851)(341,850)(342,849)(343,848)(344,847)(345,846)(346,845)(347,844)(348,843)(349,842)(350,841)(351,840)(352,839)(353,838)(354,837)(355,836)(356,835)(357,834)(358,833)(359,832)(360,831)(361,830)(362,829)(363,828)(364,827)(365,826)(366,825)(367,824)(368,823)(369,822)(370,821)(371,820)(372,819)(373,818)(374,817)(375,816)(376,815)(377,814)(378,813)(379,812)(380,811)(381,810)(382,809)(383,808)(384,807)(385,806)(386,805)(387,804)(388,803)(389,802)(390,801)(391,800)(392,799)(393,798)(394,797)(395,796)(396,795)(397,794)(398,793)(399,792)(400,791)(401,790)(402,789)(403,788)(404,787)(405,786)(406,785)(407,784)(408,783)(409,782)(410,781)(411,780)(412,779)(413,778)(414,777)(415,776)(416,775)(417,774)(418,773)(419,772)(420,771)(421,770)(422,769)(423,768)(424,767)(425,766)(426,765)(427,764)(428,763)(429,762)(430,761)(431,760)(432,759)(433,758)(434,757)(435,756)(436,755)(437,754)(438,753)(439,752)(440,751)(441,750)(442,749)(443,748)(444,747)(445,746)(446,745)(447,744)(448,743)(449,742)(450,741)(451,740)(452,739)(453,738)(454,737)(455,736)(456,735)(457,734)(458,733)(459,732)(460,731)(461,730)(462,729)(463,728)(464,727)(465,726)(466,725)(467,724)(468,723)(469,722)(470,721)(471,720)(472,719)(473,718)(474,717)(475,716)(476,715)(477,714)(478,713)(479,712)(480,711)(481,710)(482,709)(483,708)(484,707)(485,706)(486,705)(487,704)(488,703)(489,702)(490,701)(491,700)(492,699)(493,698)(494,697)(495,696)(496,695)(497,694)(498,693)(499,692)(500,691)(501,690)(502,689)(503,688)(504,687)(505,686)(506,685)(507,684)(508,683)(509,682)(510,681)(511,680)(512,679)(513,678)(514,677)(515,676)(516,675)(517,674)(518,673)(519,672)(520,671)(521,670)(522,669)(523,668)(524,667)(525,666)(526,665)(527,664)(528,663)(529,662)(530,661)(531,660)(532,659)(533,658)(534,657)(535,656)(536,655)(537,654)(538,653)(539,652)(540,651)(541,650)(542,649)(543,648)(544,647)(545,646)(546,645)(547,644)(548,643)(549,642)(550,641)(551,640)(552,639)(553,638)(554,637)(555,636)(556,635)(557,634)(558,633)(559,632)(560,631)(561,630)(562,629)(563,628)(564,627)(565,626)(566,625)(567,624)(568,623)(569,622)(570,621)(571,620)(572,619)(573,618)(574,617)(575,616)(576,615)(577,614)(578,613)(579,612)(580,611)(581,610)(582,609)(583,608)(584,607)(585,606)(586,605)(587,604)(588,603)(589,602)(590,601)(591,600)(592,599)(593,598)(594,597)(595,596)

Conjugacy classes & character table

12796 conjugacy classes. The character table is too large to display.

GAP

Past the SmallGroups library coverage — no SmallGroups id. Construct it from a minimal faithful permutation representation:

gap> G := Group((1,2)(3,4,5,6,7,8,9,10,11,12,13)(14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176), (4,13)(5,12)(6,11)(7,10)(8,9)(15,1176)(16,1175)(17,1174)(18,1173)(19,1172)(20,1171)(21,1170)(22,1169)(23,1168)(24,1167)(25,1166)(26,1165)(27,1164)(28,1163)(29,1162)(30,1161)(31,1160)(32,1159)(33,1158)(34,1157)(35,1156)(36,1155)(37,1154)(38,1153)(39,1152)(40,1151)(41,1150)(42,1149)(43,1148)(44,1147)(45,1146)(46,1145)(47,1144)(48,1143)(49,1142)(50,1141)(51,1140)(52,1139)(53,1138)(54,1137)(55,1136)(56,1135)(57,1134)(58,1133)(59,1132)(60,1131)(61,1130)(62,1129)(63,1128)(64,1127)(65,1126)(66,1125)(67,1124)(68,1123)(69,1122)(70,1121)(71,1120)(72,1119)(73,1118)(74,1117)(75,1116)(76,1115)(77,1114)(78,1113)(79,1112)(80,1111)(81,1110)(82,1109)(83,1108)(84,1107)(85,1106)(86,1105)(87,1104)(88,1103)(89,1102)(90,1101)(91,1100)(92,1099)(93,1098)(94,1097)(95,1096)(96,1095)(97,1094)(98,1093)(99,1092)(100,1091)(101,1090)(102,1089)(103,1088)(104,1087)(105,1086)(106,1085)(107,1084)(108,1083)(109,1082)(110,1081)(111,1080)(112,1079)(113,1078)(114,1077)(115,1076)(116,1075)(117,1074)(118,1073)(119,1072)(120,1071)(121,1070)(122,1069)(123,1068)(124,1067)(125,1066)(126,1065)(127,1064)(128,1063)(129,1062)(130,1061)(131,1060)(132,1059)(133,1058)(134,1057)(135,1056)(136,1055)(137,1054)(138,1053)(139,1052)(140,1051)(141,1050)(142,1049)(143,1048)(144,1047)(145,1046)(146,1045)(147,1044)(148,1043)(149,1042)(150,1041)(151,1040)(152,1039)(153,1038)(154,1037)(155,1036)(156,1035)(157,1034)(158,1033)(159,1032)(160,1031)(161,1030)(162,1029)(163,1028)(164,1027)(165,1026)(166,1025)(167,1024)(168,1023)(169,1022)(170,1021)(171,1020)(172,1019)(173,1018)(174,1017)(175,1016)(176,1015)(177,1014)(178,1013)(179,1012)(180,1011)(181,1010)(182,1009)(183,1008)(184,1007)(185,1006)(186,1005)(187,1004)(188,1003)(189,1002)(190,1001)(191,1000)(192,999)(193,998)(194,997)(195,996)(196,995)(197,994)(198,993)(199,992)(200,991)(201,990)(202,989)(203,988)(204,987)(205,986)(206,985)(207,984)(208,983)(209,982)(210,981)(211,980)(212,979)(213,978)(214,977)(215,976)(216,975)(217,974)(218,973)(219,972)(220,971)(221,970)(222,969)(223,968)(224,967)(225,966)(226,965)(227,964)(228,963)(229,962)(230,961)(231,960)(232,959)(233,958)(234,957)(235,956)(236,955)(237,954)(238,953)(239,952)(240,951)(241,950)(242,949)(243,948)(244,947)(245,946)(246,945)(247,944)(248,943)(249,942)(250,941)(251,940)(252,939)(253,938)(254,937)(255,936)(256,935)(257,934)(258,933)(259,932)(260,931)(261,930)(262,929)(263,928)(264,927)(265,926)(266,925)(267,924)(268,923)(269,922)(270,921)(271,920)(272,919)(273,918)(274,917)(275,916)(276,915)(277,914)(278,913)(279,912)(280,911)(281,910)(282,909)(283,908)(284,907)(285,906)(286,905)(287,904)(288,903)(289,902)(290,901)(291,900)(292,899)(293,898)(294,897)(295,896)(296,895)(297,894)(298,893)(299,892)(300,891)(301,890)(302,889)(303,888)(304,887)(305,886)(306,885)(307,884)(308,883)(309,882)(310,881)(311,880)(312,879)(313,878)(314,877)(315,876)(316,875)(317,874)(318,873)(319,872)(320,871)(321,870)(322,869)(323,868)(324,867)(325,866)(326,865)(327,864)(328,863)(329,862)(330,861)(331,860)(332,859)(333,858)(334,857)(335,856)(336,855)(337,854)(338,853)(339,852)(340,851)(341,850)(342,849)(343,848)(344,847)(345,846)(346,845)(347,844)(348,843)(349,842)(350,841)(351,840)(352,839)(353,838)(354,837)(355,836)(356,835)(357,834)(358,833)(359,832)(360,831)(361,830)(362,829)(363,828)(364,827)(365,826)(366,825)(367,824)(368,823)(369,822)(370,821)(371,820)(372,819)(373,818)(374,817)(375,816)(376,815)(377,814)(378,813)(379,812)(380,811)(381,810)(382,809)(383,808)(384,807)(385,806)(386,805)(387,804)(388,803)(389,802)(390,801)(391,800)(392,799)(393,798)(394,797)(395,796)(396,795)(397,794)(398,793)(399,792)(400,791)(401,790)(402,789)(403,788)(404,787)(405,786)(406,785)(407,784)(408,783)(409,782)(410,781)(411,780)(412,779)(413,778)(414,777)(415,776)(416,775)(417,774)(418,773)(419,772)(420,771)(421,770)(422,769)(423,768)(424,767)(425,766)(426,765)(427,764)(428,763)(429,762)(430,761)(431,760)(432,759)(433,758)(434,757)(435,756)(436,755)(437,754)(438,753)(439,752)(440,751)(441,750)(442,749)(443,748)(444,747)(445,746)(446,745)(447,744)(448,743)(449,742)(450,741)(451,740)(452,739)(453,738)(454,737)(455,736)(456,735)(457,734)(458,733)(459,732)(460,731)(461,730)(462,729)(463,728)(464,727)(465,726)(466,725)(467,724)(468,723)(469,722)(470,721)(471,720)(472,719)(473,718)(474,717)(475,716)(476,715)(477,714)(478,713)(479,712)(480,711)(481,710)(482,709)(483,708)(484,707)(485,706)(486,705)(487,704)(488,703)(489,702)(490,701)(491,700)(492,699)(493,698)(494,697)(495,696)(496,695)(497,694)(498,693)(499,692)(500,691)(501,690)(502,689)(503,688)(504,687)(505,686)(506,685)(507,684)(508,683)(509,682)(510,681)(511,680)(512,679)(513,678)(514,677)(515,676)(516,675)(517,674)(518,673)(519,672)(520,671)(521,670)(522,669)(523,668)(524,667)(525,666)(526,665)(527,664)(528,663)(529,662)(530,661)(531,660)(532,659)(533,658)(534,657)(535,656)(536,655)(537,654)(538,653)(539,652)(540,651)(541,650)(542,649)(543,648)(544,647)(545,646)(546,645)(547,644)(548,643)(549,642)(550,641)(551,640)(552,639)(553,638)(554,637)(555,636)(556,635)(557,634)(558,633)(559,632)(560,631)(561,630)(562,629)(563,628)(564,627)(565,626)(566,625)(567,624)(568,623)(569,622)(570,621)(571,620)(572,619)(573,618)(574,617)(575,616)(576,615)(577,614)(578,613)(579,612)(580,611)(581,610)(582,609)(583,608)(584,607)(585,606)(586,605)(587,604)(588,603)(589,602)(590,601)(591,600)(592,599)(593,598)(594,597)(595,596));

C2×D12793 #72288732