Polytope of Type {20,6,8}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {20,6,8}*1920
Also Known As : {{20,6|2},{6,8|2}}. if this polytope has another name.
Group : SmallGroup(1920,182103)
Rank : 4
Schlafli Type : {20,6,8}
Number of vertices, edges, etc : 20, 60, 24, 8
Order of s0s1s2s3 : 120
Order of s0s1s2s3s2s1 : 2
Special Properties :
Universal
Orientable
Flat
Related Polytopes :
Facet
Vertex Figure
Dual
Facet Of :
None in this Atlas
Vertex Figure Of :
None in this Atlas
Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {20,6,4}*960a, {10,6,8}*960
3-fold quotients : {20,2,8}*640
4-fold quotients : {20,6,2}*480a, {10,6,4}*480a
5-fold quotients : {4,6,8}*384a
6-fold quotients : {20,2,4}*320, {10,2,8}*320
8-fold quotients : {10,6,2}*240
10-fold quotients : {4,6,4}*192a, {2,6,8}*192
12-fold quotients : {5,2,8}*160, {20,2,2}*160, {10,2,4}*160
15-fold quotients : {4,2,8}*128
20-fold quotients : {2,6,4}*96a, {4,6,2}*96a
24-fold quotients : {5,2,4}*80, {10,2,2}*80
30-fold quotients : {4,2,4}*64, {2,2,8}*64
40-fold quotients : {2,6,2}*48
48-fold quotients : {5,2,2}*40
60-fold quotients : {2,2,4}*32, {4,2,2}*32
80-fold quotients : {2,3,2}*24
120-fold quotients : {2,2,2}*16
Covers (Minimal Covers in Boldface) :
None in this atlas.
Permutation Representation (GAP) :
s0 := ( 1,241)( 2,245)( 3,244)( 4,243)( 5,242)( 6,246)( 7,250)( 8,249)
( 9,248)( 10,247)( 11,251)( 12,255)( 13,254)( 14,253)( 15,252)( 16,256)
( 17,260)( 18,259)( 19,258)( 20,257)( 21,261)( 22,265)( 23,264)( 24,263)
( 25,262)( 26,266)( 27,270)( 28,269)( 29,268)( 30,267)( 31,271)( 32,275)
( 33,274)( 34,273)( 35,272)( 36,276)( 37,280)( 38,279)( 39,278)( 40,277)
( 41,281)( 42,285)( 43,284)( 44,283)( 45,282)( 46,286)( 47,290)( 48,289)
( 49,288)( 50,287)( 51,291)( 52,295)( 53,294)( 54,293)( 55,292)( 56,296)
( 57,300)( 58,299)( 59,298)( 60,297)( 61,301)( 62,305)( 63,304)( 64,303)
( 65,302)( 66,306)( 67,310)( 68,309)( 69,308)( 70,307)( 71,311)( 72,315)
( 73,314)( 74,313)( 75,312)( 76,316)( 77,320)( 78,319)( 79,318)( 80,317)
( 81,321)( 82,325)( 83,324)( 84,323)( 85,322)( 86,326)( 87,330)( 88,329)
( 89,328)( 90,327)( 91,331)( 92,335)( 93,334)( 94,333)( 95,332)( 96,336)
( 97,340)( 98,339)( 99,338)(100,337)(101,341)(102,345)(103,344)(104,343)
(105,342)(106,346)(107,350)(108,349)(109,348)(110,347)(111,351)(112,355)
(113,354)(114,353)(115,352)(116,356)(117,360)(118,359)(119,358)(120,357)
(121,361)(122,365)(123,364)(124,363)(125,362)(126,366)(127,370)(128,369)
(129,368)(130,367)(131,371)(132,375)(133,374)(134,373)(135,372)(136,376)
(137,380)(138,379)(139,378)(140,377)(141,381)(142,385)(143,384)(144,383)
(145,382)(146,386)(147,390)(148,389)(149,388)(150,387)(151,391)(152,395)
(153,394)(154,393)(155,392)(156,396)(157,400)(158,399)(159,398)(160,397)
(161,401)(162,405)(163,404)(164,403)(165,402)(166,406)(167,410)(168,409)
(169,408)(170,407)(171,411)(172,415)(173,414)(174,413)(175,412)(176,416)
(177,420)(178,419)(179,418)(180,417)(181,421)(182,425)(183,424)(184,423)
(185,422)(186,426)(187,430)(188,429)(189,428)(190,427)(191,431)(192,435)
(193,434)(194,433)(195,432)(196,436)(197,440)(198,439)(199,438)(200,437)
(201,441)(202,445)(203,444)(204,443)(205,442)(206,446)(207,450)(208,449)
(209,448)(210,447)(211,451)(212,455)(213,454)(214,453)(215,452)(216,456)
(217,460)(218,459)(219,458)(220,457)(221,461)(222,465)(223,464)(224,463)
(225,462)(226,466)(227,470)(228,469)(229,468)(230,467)(231,471)(232,475)
(233,474)(234,473)(235,472)(236,476)(237,480)(238,479)(239,478)(240,477)
(481,721)(482,725)(483,724)(484,723)(485,722)(486,726)(487,730)(488,729)
(489,728)(490,727)(491,731)(492,735)(493,734)(494,733)(495,732)(496,736)
(497,740)(498,739)(499,738)(500,737)(501,741)(502,745)(503,744)(504,743)
(505,742)(506,746)(507,750)(508,749)(509,748)(510,747)(511,751)(512,755)
(513,754)(514,753)(515,752)(516,756)(517,760)(518,759)(519,758)(520,757)
(521,761)(522,765)(523,764)(524,763)(525,762)(526,766)(527,770)(528,769)
(529,768)(530,767)(531,771)(532,775)(533,774)(534,773)(535,772)(536,776)
(537,780)(538,779)(539,778)(540,777)(541,781)(542,785)(543,784)(544,783)
(545,782)(546,786)(547,790)(548,789)(549,788)(550,787)(551,791)(552,795)
(553,794)(554,793)(555,792)(556,796)(557,800)(558,799)(559,798)(560,797)
(561,801)(562,805)(563,804)(564,803)(565,802)(566,806)(567,810)(568,809)
(569,808)(570,807)(571,811)(572,815)(573,814)(574,813)(575,812)(576,816)
(577,820)(578,819)(579,818)(580,817)(581,821)(582,825)(583,824)(584,823)
(585,822)(586,826)(587,830)(588,829)(589,828)(590,827)(591,831)(592,835)
(593,834)(594,833)(595,832)(596,836)(597,840)(598,839)(599,838)(600,837)
(601,841)(602,845)(603,844)(604,843)(605,842)(606,846)(607,850)(608,849)
(609,848)(610,847)(611,851)(612,855)(613,854)(614,853)(615,852)(616,856)
(617,860)(618,859)(619,858)(620,857)(621,861)(622,865)(623,864)(624,863)
(625,862)(626,866)(627,870)(628,869)(629,868)(630,867)(631,871)(632,875)
(633,874)(634,873)(635,872)(636,876)(637,880)(638,879)(639,878)(640,877)
(641,881)(642,885)(643,884)(644,883)(645,882)(646,886)(647,890)(648,889)
(649,888)(650,887)(651,891)(652,895)(653,894)(654,893)(655,892)(656,896)
(657,900)(658,899)(659,898)(660,897)(661,901)(662,905)(663,904)(664,903)
(665,902)(666,906)(667,910)(668,909)(669,908)(670,907)(671,911)(672,915)
(673,914)(674,913)(675,912)(676,916)(677,920)(678,919)(679,918)(680,917)
(681,921)(682,925)(683,924)(684,923)(685,922)(686,926)(687,930)(688,929)
(689,928)(690,927)(691,931)(692,935)(693,934)(694,933)(695,932)(696,936)
(697,940)(698,939)(699,938)(700,937)(701,941)(702,945)(703,944)(704,943)
(705,942)(706,946)(707,950)(708,949)(709,948)(710,947)(711,951)(712,955)
(713,954)(714,953)(715,952)(716,956)(717,960)(718,959)(719,958)(720,957);;
s1 := ( 1,182)( 2,181)( 3,185)( 4,184)( 5,183)( 6,192)( 7,191)( 8,195)
( 9,194)( 10,193)( 11,187)( 12,186)( 13,190)( 14,189)( 15,188)( 16,197)
( 17,196)( 18,200)( 19,199)( 20,198)( 21,207)( 22,206)( 23,210)( 24,209)
( 25,208)( 26,202)( 27,201)( 28,205)( 29,204)( 30,203)( 31,212)( 32,211)
( 33,215)( 34,214)( 35,213)( 36,222)( 37,221)( 38,225)( 39,224)( 40,223)
( 41,217)( 42,216)( 43,220)( 44,219)( 45,218)( 46,227)( 47,226)( 48,230)
( 49,229)( 50,228)( 51,237)( 52,236)( 53,240)( 54,239)( 55,238)( 56,232)
( 57,231)( 58,235)( 59,234)( 60,233)( 61,137)( 62,136)( 63,140)( 64,139)
( 65,138)( 66,147)( 67,146)( 68,150)( 69,149)( 70,148)( 71,142)( 72,141)
( 73,145)( 74,144)( 75,143)( 76,122)( 77,121)( 78,125)( 79,124)( 80,123)
( 81,132)( 82,131)( 83,135)( 84,134)( 85,133)( 86,127)( 87,126)( 88,130)
( 89,129)( 90,128)( 91,167)( 92,166)( 93,170)( 94,169)( 95,168)( 96,177)
( 97,176)( 98,180)( 99,179)(100,178)(101,172)(102,171)(103,175)(104,174)
(105,173)(106,152)(107,151)(108,155)(109,154)(110,153)(111,162)(112,161)
(113,165)(114,164)(115,163)(116,157)(117,156)(118,160)(119,159)(120,158)
(241,452)(242,451)(243,455)(244,454)(245,453)(246,462)(247,461)(248,465)
(249,464)(250,463)(251,457)(252,456)(253,460)(254,459)(255,458)(256,467)
(257,466)(258,470)(259,469)(260,468)(261,477)(262,476)(263,480)(264,479)
(265,478)(266,472)(267,471)(268,475)(269,474)(270,473)(271,422)(272,421)
(273,425)(274,424)(275,423)(276,432)(277,431)(278,435)(279,434)(280,433)
(281,427)(282,426)(283,430)(284,429)(285,428)(286,437)(287,436)(288,440)
(289,439)(290,438)(291,447)(292,446)(293,450)(294,449)(295,448)(296,442)
(297,441)(298,445)(299,444)(300,443)(301,407)(302,406)(303,410)(304,409)
(305,408)(306,417)(307,416)(308,420)(309,419)(310,418)(311,412)(312,411)
(313,415)(314,414)(315,413)(316,392)(317,391)(318,395)(319,394)(320,393)
(321,402)(322,401)(323,405)(324,404)(325,403)(326,397)(327,396)(328,400)
(329,399)(330,398)(331,377)(332,376)(333,380)(334,379)(335,378)(336,387)
(337,386)(338,390)(339,389)(340,388)(341,382)(342,381)(343,385)(344,384)
(345,383)(346,362)(347,361)(348,365)(349,364)(350,363)(351,372)(352,371)
(353,375)(354,374)(355,373)(356,367)(357,366)(358,370)(359,369)(360,368)
(481,602)(482,601)(483,605)(484,604)(485,603)(486,612)(487,611)(488,615)
(489,614)(490,613)(491,607)(492,606)(493,610)(494,609)(495,608)(496,617)
(497,616)(498,620)(499,619)(500,618)(501,627)(502,626)(503,630)(504,629)
(505,628)(506,622)(507,621)(508,625)(509,624)(510,623)(511,632)(512,631)
(513,635)(514,634)(515,633)(516,642)(517,641)(518,645)(519,644)(520,643)
(521,637)(522,636)(523,640)(524,639)(525,638)(526,647)(527,646)(528,650)
(529,649)(530,648)(531,657)(532,656)(533,660)(534,659)(535,658)(536,652)
(537,651)(538,655)(539,654)(540,653)(541,662)(542,661)(543,665)(544,664)
(545,663)(546,672)(547,671)(548,675)(549,674)(550,673)(551,667)(552,666)
(553,670)(554,669)(555,668)(556,677)(557,676)(558,680)(559,679)(560,678)
(561,687)(562,686)(563,690)(564,689)(565,688)(566,682)(567,681)(568,685)
(569,684)(570,683)(571,692)(572,691)(573,695)(574,694)(575,693)(576,702)
(577,701)(578,705)(579,704)(580,703)(581,697)(582,696)(583,700)(584,699)
(585,698)(586,707)(587,706)(588,710)(589,709)(590,708)(591,717)(592,716)
(593,720)(594,719)(595,718)(596,712)(597,711)(598,715)(599,714)(600,713)
(721,872)(722,871)(723,875)(724,874)(725,873)(726,882)(727,881)(728,885)
(729,884)(730,883)(731,877)(732,876)(733,880)(734,879)(735,878)(736,887)
(737,886)(738,890)(739,889)(740,888)(741,897)(742,896)(743,900)(744,899)
(745,898)(746,892)(747,891)(748,895)(749,894)(750,893)(751,842)(752,841)
(753,845)(754,844)(755,843)(756,852)(757,851)(758,855)(759,854)(760,853)
(761,847)(762,846)(763,850)(764,849)(765,848)(766,857)(767,856)(768,860)
(769,859)(770,858)(771,867)(772,866)(773,870)(774,869)(775,868)(776,862)
(777,861)(778,865)(779,864)(780,863)(781,932)(782,931)(783,935)(784,934)
(785,933)(786,942)(787,941)(788,945)(789,944)(790,943)(791,937)(792,936)
(793,940)(794,939)(795,938)(796,947)(797,946)(798,950)(799,949)(800,948)
(801,957)(802,956)(803,960)(804,959)(805,958)(806,952)(807,951)(808,955)
(809,954)(810,953)(811,902)(812,901)(813,905)(814,904)(815,903)(816,912)
(817,911)(818,915)(819,914)(820,913)(821,907)(822,906)(823,910)(824,909)
(825,908)(826,917)(827,916)(828,920)(829,919)(830,918)(831,927)(832,926)
(833,930)(834,929)(835,928)(836,922)(837,921)(838,925)(839,924)(840,923);;
s2 := ( 1,126)( 2,127)( 3,128)( 4,129)( 5,130)( 6,121)( 7,122)( 8,123)
( 9,124)( 10,125)( 11,131)( 12,132)( 13,133)( 14,134)( 15,135)( 16,141)
( 17,142)( 18,143)( 19,144)( 20,145)( 21,136)( 22,137)( 23,138)( 24,139)
( 25,140)( 26,146)( 27,147)( 28,148)( 29,149)( 30,150)( 31,156)( 32,157)
( 33,158)( 34,159)( 35,160)( 36,151)( 37,152)( 38,153)( 39,154)( 40,155)
( 41,161)( 42,162)( 43,163)( 44,164)( 45,165)( 46,171)( 47,172)( 48,173)
( 49,174)( 50,175)( 51,166)( 52,167)( 53,168)( 54,169)( 55,170)( 56,176)
( 57,177)( 58,178)( 59,179)( 60,180)( 61,201)( 62,202)( 63,203)( 64,204)
( 65,205)( 66,196)( 67,197)( 68,198)( 69,199)( 70,200)( 71,206)( 72,207)
( 73,208)( 74,209)( 75,210)( 76,186)( 77,187)( 78,188)( 79,189)( 80,190)
( 81,181)( 82,182)( 83,183)( 84,184)( 85,185)( 86,191)( 87,192)( 88,193)
( 89,194)( 90,195)( 91,231)( 92,232)( 93,233)( 94,234)( 95,235)( 96,226)
( 97,227)( 98,228)( 99,229)(100,230)(101,236)(102,237)(103,238)(104,239)
(105,240)(106,216)(107,217)(108,218)(109,219)(110,220)(111,211)(112,212)
(113,213)(114,214)(115,215)(116,221)(117,222)(118,223)(119,224)(120,225)
(241,366)(242,367)(243,368)(244,369)(245,370)(246,361)(247,362)(248,363)
(249,364)(250,365)(251,371)(252,372)(253,373)(254,374)(255,375)(256,381)
(257,382)(258,383)(259,384)(260,385)(261,376)(262,377)(263,378)(264,379)
(265,380)(266,386)(267,387)(268,388)(269,389)(270,390)(271,396)(272,397)
(273,398)(274,399)(275,400)(276,391)(277,392)(278,393)(279,394)(280,395)
(281,401)(282,402)(283,403)(284,404)(285,405)(286,411)(287,412)(288,413)
(289,414)(290,415)(291,406)(292,407)(293,408)(294,409)(295,410)(296,416)
(297,417)(298,418)(299,419)(300,420)(301,441)(302,442)(303,443)(304,444)
(305,445)(306,436)(307,437)(308,438)(309,439)(310,440)(311,446)(312,447)
(313,448)(314,449)(315,450)(316,426)(317,427)(318,428)(319,429)(320,430)
(321,421)(322,422)(323,423)(324,424)(325,425)(326,431)(327,432)(328,433)
(329,434)(330,435)(331,471)(332,472)(333,473)(334,474)(335,475)(336,466)
(337,467)(338,468)(339,469)(340,470)(341,476)(342,477)(343,478)(344,479)
(345,480)(346,456)(347,457)(348,458)(349,459)(350,460)(351,451)(352,452)
(353,453)(354,454)(355,455)(356,461)(357,462)(358,463)(359,464)(360,465)
(481,606)(482,607)(483,608)(484,609)(485,610)(486,601)(487,602)(488,603)
(489,604)(490,605)(491,611)(492,612)(493,613)(494,614)(495,615)(496,621)
(497,622)(498,623)(499,624)(500,625)(501,616)(502,617)(503,618)(504,619)
(505,620)(506,626)(507,627)(508,628)(509,629)(510,630)(511,636)(512,637)
(513,638)(514,639)(515,640)(516,631)(517,632)(518,633)(519,634)(520,635)
(521,641)(522,642)(523,643)(524,644)(525,645)(526,651)(527,652)(528,653)
(529,654)(530,655)(531,646)(532,647)(533,648)(534,649)(535,650)(536,656)
(537,657)(538,658)(539,659)(540,660)(541,681)(542,682)(543,683)(544,684)
(545,685)(546,676)(547,677)(548,678)(549,679)(550,680)(551,686)(552,687)
(553,688)(554,689)(555,690)(556,666)(557,667)(558,668)(559,669)(560,670)
(561,661)(562,662)(563,663)(564,664)(565,665)(566,671)(567,672)(568,673)
(569,674)(570,675)(571,711)(572,712)(573,713)(574,714)(575,715)(576,706)
(577,707)(578,708)(579,709)(580,710)(581,716)(582,717)(583,718)(584,719)
(585,720)(586,696)(587,697)(588,698)(589,699)(590,700)(591,691)(592,692)
(593,693)(594,694)(595,695)(596,701)(597,702)(598,703)(599,704)(600,705)
(721,846)(722,847)(723,848)(724,849)(725,850)(726,841)(727,842)(728,843)
(729,844)(730,845)(731,851)(732,852)(733,853)(734,854)(735,855)(736,861)
(737,862)(738,863)(739,864)(740,865)(741,856)(742,857)(743,858)(744,859)
(745,860)(746,866)(747,867)(748,868)(749,869)(750,870)(751,876)(752,877)
(753,878)(754,879)(755,880)(756,871)(757,872)(758,873)(759,874)(760,875)
(761,881)(762,882)(763,883)(764,884)(765,885)(766,891)(767,892)(768,893)
(769,894)(770,895)(771,886)(772,887)(773,888)(774,889)(775,890)(776,896)
(777,897)(778,898)(779,899)(780,900)(781,921)(782,922)(783,923)(784,924)
(785,925)(786,916)(787,917)(788,918)(789,919)(790,920)(791,926)(792,927)
(793,928)(794,929)(795,930)(796,906)(797,907)(798,908)(799,909)(800,910)
(801,901)(802,902)(803,903)(804,904)(805,905)(806,911)(807,912)(808,913)
(809,914)(810,915)(811,951)(812,952)(813,953)(814,954)(815,955)(816,946)
(817,947)(818,948)(819,949)(820,950)(821,956)(822,957)(823,958)(824,959)
(825,960)(826,936)(827,937)(828,938)(829,939)(830,940)(831,931)(832,932)
(833,933)(834,934)(835,935)(836,941)(837,942)(838,943)(839,944)(840,945);;
s3 := ( 1,481)( 2,482)( 3,483)( 4,484)( 5,485)( 6,486)( 7,487)( 8,488)
( 9,489)( 10,490)( 11,491)( 12,492)( 13,493)( 14,494)( 15,495)( 16,496)
( 17,497)( 18,498)( 19,499)( 20,500)( 21,501)( 22,502)( 23,503)( 24,504)
( 25,505)( 26,506)( 27,507)( 28,508)( 29,509)( 30,510)( 31,511)( 32,512)
( 33,513)( 34,514)( 35,515)( 36,516)( 37,517)( 38,518)( 39,519)( 40,520)
( 41,521)( 42,522)( 43,523)( 44,524)( 45,525)( 46,526)( 47,527)( 48,528)
( 49,529)( 50,530)( 51,531)( 52,532)( 53,533)( 54,534)( 55,535)( 56,536)
( 57,537)( 58,538)( 59,539)( 60,540)( 61,556)( 62,557)( 63,558)( 64,559)
( 65,560)( 66,561)( 67,562)( 68,563)( 69,564)( 70,565)( 71,566)( 72,567)
( 73,568)( 74,569)( 75,570)( 76,541)( 77,542)( 78,543)( 79,544)( 80,545)
( 81,546)( 82,547)( 83,548)( 84,549)( 85,550)( 86,551)( 87,552)( 88,553)
( 89,554)( 90,555)( 91,586)( 92,587)( 93,588)( 94,589)( 95,590)( 96,591)
( 97,592)( 98,593)( 99,594)(100,595)(101,596)(102,597)(103,598)(104,599)
(105,600)(106,571)(107,572)(108,573)(109,574)(110,575)(111,576)(112,577)
(113,578)(114,579)(115,580)(116,581)(117,582)(118,583)(119,584)(120,585)
(121,661)(122,662)(123,663)(124,664)(125,665)(126,666)(127,667)(128,668)
(129,669)(130,670)(131,671)(132,672)(133,673)(134,674)(135,675)(136,676)
(137,677)(138,678)(139,679)(140,680)(141,681)(142,682)(143,683)(144,684)
(145,685)(146,686)(147,687)(148,688)(149,689)(150,690)(151,691)(152,692)
(153,693)(154,694)(155,695)(156,696)(157,697)(158,698)(159,699)(160,700)
(161,701)(162,702)(163,703)(164,704)(165,705)(166,706)(167,707)(168,708)
(169,709)(170,710)(171,711)(172,712)(173,713)(174,714)(175,715)(176,716)
(177,717)(178,718)(179,719)(180,720)(181,601)(182,602)(183,603)(184,604)
(185,605)(186,606)(187,607)(188,608)(189,609)(190,610)(191,611)(192,612)
(193,613)(194,614)(195,615)(196,616)(197,617)(198,618)(199,619)(200,620)
(201,621)(202,622)(203,623)(204,624)(205,625)(206,626)(207,627)(208,628)
(209,629)(210,630)(211,631)(212,632)(213,633)(214,634)(215,635)(216,636)
(217,637)(218,638)(219,639)(220,640)(221,641)(222,642)(223,643)(224,644)
(225,645)(226,646)(227,647)(228,648)(229,649)(230,650)(231,651)(232,652)
(233,653)(234,654)(235,655)(236,656)(237,657)(238,658)(239,659)(240,660)
(241,721)(242,722)(243,723)(244,724)(245,725)(246,726)(247,727)(248,728)
(249,729)(250,730)(251,731)(252,732)(253,733)(254,734)(255,735)(256,736)
(257,737)(258,738)(259,739)(260,740)(261,741)(262,742)(263,743)(264,744)
(265,745)(266,746)(267,747)(268,748)(269,749)(270,750)(271,751)(272,752)
(273,753)(274,754)(275,755)(276,756)(277,757)(278,758)(279,759)(280,760)
(281,761)(282,762)(283,763)(284,764)(285,765)(286,766)(287,767)(288,768)
(289,769)(290,770)(291,771)(292,772)(293,773)(294,774)(295,775)(296,776)
(297,777)(298,778)(299,779)(300,780)(301,796)(302,797)(303,798)(304,799)
(305,800)(306,801)(307,802)(308,803)(309,804)(310,805)(311,806)(312,807)
(313,808)(314,809)(315,810)(316,781)(317,782)(318,783)(319,784)(320,785)
(321,786)(322,787)(323,788)(324,789)(325,790)(326,791)(327,792)(328,793)
(329,794)(330,795)(331,826)(332,827)(333,828)(334,829)(335,830)(336,831)
(337,832)(338,833)(339,834)(340,835)(341,836)(342,837)(343,838)(344,839)
(345,840)(346,811)(347,812)(348,813)(349,814)(350,815)(351,816)(352,817)
(353,818)(354,819)(355,820)(356,821)(357,822)(358,823)(359,824)(360,825)
(361,901)(362,902)(363,903)(364,904)(365,905)(366,906)(367,907)(368,908)
(369,909)(370,910)(371,911)(372,912)(373,913)(374,914)(375,915)(376,916)
(377,917)(378,918)(379,919)(380,920)(381,921)(382,922)(383,923)(384,924)
(385,925)(386,926)(387,927)(388,928)(389,929)(390,930)(391,931)(392,932)
(393,933)(394,934)(395,935)(396,936)(397,937)(398,938)(399,939)(400,940)
(401,941)(402,942)(403,943)(404,944)(405,945)(406,946)(407,947)(408,948)
(409,949)(410,950)(411,951)(412,952)(413,953)(414,954)(415,955)(416,956)
(417,957)(418,958)(419,959)(420,960)(421,841)(422,842)(423,843)(424,844)
(425,845)(426,846)(427,847)(428,848)(429,849)(430,850)(431,851)(432,852)
(433,853)(434,854)(435,855)(436,856)(437,857)(438,858)(439,859)(440,860)
(441,861)(442,862)(443,863)(444,864)(445,865)(446,866)(447,867)(448,868)
(449,869)(450,870)(451,871)(452,872)(453,873)(454,874)(455,875)(456,876)
(457,877)(458,878)(459,879)(460,880)(461,881)(462,882)(463,883)(464,884)
(465,885)(466,886)(467,887)(468,888)(469,889)(470,890)(471,891)(472,892)
(473,893)(474,894)(475,895)(476,896)(477,897)(478,898)(479,899)(480,900);;
poly := Group([s0,s1,s2,s3]);;
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0","s1","s2","s3");;
s0 := F.1;; s1 := F.2;; s2 := F.3;; s3 := F.4;;
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s0*s2*s0*s2,
s0*s3*s0*s3, s1*s3*s1*s3, s0*s1*s2*s1*s0*s1*s2*s1,
s1*s2*s3*s2*s1*s2*s3*s2, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2,
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3,
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(960)!( 1,241)( 2,245)( 3,244)( 4,243)( 5,242)( 6,246)( 7,250)
( 8,249)( 9,248)( 10,247)( 11,251)( 12,255)( 13,254)( 14,253)( 15,252)
( 16,256)( 17,260)( 18,259)( 19,258)( 20,257)( 21,261)( 22,265)( 23,264)
( 24,263)( 25,262)( 26,266)( 27,270)( 28,269)( 29,268)( 30,267)( 31,271)
( 32,275)( 33,274)( 34,273)( 35,272)( 36,276)( 37,280)( 38,279)( 39,278)
( 40,277)( 41,281)( 42,285)( 43,284)( 44,283)( 45,282)( 46,286)( 47,290)
( 48,289)( 49,288)( 50,287)( 51,291)( 52,295)( 53,294)( 54,293)( 55,292)
( 56,296)( 57,300)( 58,299)( 59,298)( 60,297)( 61,301)( 62,305)( 63,304)
( 64,303)( 65,302)( 66,306)( 67,310)( 68,309)( 69,308)( 70,307)( 71,311)
( 72,315)( 73,314)( 74,313)( 75,312)( 76,316)( 77,320)( 78,319)( 79,318)
( 80,317)( 81,321)( 82,325)( 83,324)( 84,323)( 85,322)( 86,326)( 87,330)
( 88,329)( 89,328)( 90,327)( 91,331)( 92,335)( 93,334)( 94,333)( 95,332)
( 96,336)( 97,340)( 98,339)( 99,338)(100,337)(101,341)(102,345)(103,344)
(104,343)(105,342)(106,346)(107,350)(108,349)(109,348)(110,347)(111,351)
(112,355)(113,354)(114,353)(115,352)(116,356)(117,360)(118,359)(119,358)
(120,357)(121,361)(122,365)(123,364)(124,363)(125,362)(126,366)(127,370)
(128,369)(129,368)(130,367)(131,371)(132,375)(133,374)(134,373)(135,372)
(136,376)(137,380)(138,379)(139,378)(140,377)(141,381)(142,385)(143,384)
(144,383)(145,382)(146,386)(147,390)(148,389)(149,388)(150,387)(151,391)
(152,395)(153,394)(154,393)(155,392)(156,396)(157,400)(158,399)(159,398)
(160,397)(161,401)(162,405)(163,404)(164,403)(165,402)(166,406)(167,410)
(168,409)(169,408)(170,407)(171,411)(172,415)(173,414)(174,413)(175,412)
(176,416)(177,420)(178,419)(179,418)(180,417)(181,421)(182,425)(183,424)
(184,423)(185,422)(186,426)(187,430)(188,429)(189,428)(190,427)(191,431)
(192,435)(193,434)(194,433)(195,432)(196,436)(197,440)(198,439)(199,438)
(200,437)(201,441)(202,445)(203,444)(204,443)(205,442)(206,446)(207,450)
(208,449)(209,448)(210,447)(211,451)(212,455)(213,454)(214,453)(215,452)
(216,456)(217,460)(218,459)(219,458)(220,457)(221,461)(222,465)(223,464)
(224,463)(225,462)(226,466)(227,470)(228,469)(229,468)(230,467)(231,471)
(232,475)(233,474)(234,473)(235,472)(236,476)(237,480)(238,479)(239,478)
(240,477)(481,721)(482,725)(483,724)(484,723)(485,722)(486,726)(487,730)
(488,729)(489,728)(490,727)(491,731)(492,735)(493,734)(494,733)(495,732)
(496,736)(497,740)(498,739)(499,738)(500,737)(501,741)(502,745)(503,744)
(504,743)(505,742)(506,746)(507,750)(508,749)(509,748)(510,747)(511,751)
(512,755)(513,754)(514,753)(515,752)(516,756)(517,760)(518,759)(519,758)
(520,757)(521,761)(522,765)(523,764)(524,763)(525,762)(526,766)(527,770)
(528,769)(529,768)(530,767)(531,771)(532,775)(533,774)(534,773)(535,772)
(536,776)(537,780)(538,779)(539,778)(540,777)(541,781)(542,785)(543,784)
(544,783)(545,782)(546,786)(547,790)(548,789)(549,788)(550,787)(551,791)
(552,795)(553,794)(554,793)(555,792)(556,796)(557,800)(558,799)(559,798)
(560,797)(561,801)(562,805)(563,804)(564,803)(565,802)(566,806)(567,810)
(568,809)(569,808)(570,807)(571,811)(572,815)(573,814)(574,813)(575,812)
(576,816)(577,820)(578,819)(579,818)(580,817)(581,821)(582,825)(583,824)
(584,823)(585,822)(586,826)(587,830)(588,829)(589,828)(590,827)(591,831)
(592,835)(593,834)(594,833)(595,832)(596,836)(597,840)(598,839)(599,838)
(600,837)(601,841)(602,845)(603,844)(604,843)(605,842)(606,846)(607,850)
(608,849)(609,848)(610,847)(611,851)(612,855)(613,854)(614,853)(615,852)
(616,856)(617,860)(618,859)(619,858)(620,857)(621,861)(622,865)(623,864)
(624,863)(625,862)(626,866)(627,870)(628,869)(629,868)(630,867)(631,871)
(632,875)(633,874)(634,873)(635,872)(636,876)(637,880)(638,879)(639,878)
(640,877)(641,881)(642,885)(643,884)(644,883)(645,882)(646,886)(647,890)
(648,889)(649,888)(650,887)(651,891)(652,895)(653,894)(654,893)(655,892)
(656,896)(657,900)(658,899)(659,898)(660,897)(661,901)(662,905)(663,904)
(664,903)(665,902)(666,906)(667,910)(668,909)(669,908)(670,907)(671,911)
(672,915)(673,914)(674,913)(675,912)(676,916)(677,920)(678,919)(679,918)
(680,917)(681,921)(682,925)(683,924)(684,923)(685,922)(686,926)(687,930)
(688,929)(689,928)(690,927)(691,931)(692,935)(693,934)(694,933)(695,932)
(696,936)(697,940)(698,939)(699,938)(700,937)(701,941)(702,945)(703,944)
(704,943)(705,942)(706,946)(707,950)(708,949)(709,948)(710,947)(711,951)
(712,955)(713,954)(714,953)(715,952)(716,956)(717,960)(718,959)(719,958)
(720,957);
s1 := Sym(960)!( 1,182)( 2,181)( 3,185)( 4,184)( 5,183)( 6,192)( 7,191)
( 8,195)( 9,194)( 10,193)( 11,187)( 12,186)( 13,190)( 14,189)( 15,188)
( 16,197)( 17,196)( 18,200)( 19,199)( 20,198)( 21,207)( 22,206)( 23,210)
( 24,209)( 25,208)( 26,202)( 27,201)( 28,205)( 29,204)( 30,203)( 31,212)
( 32,211)( 33,215)( 34,214)( 35,213)( 36,222)( 37,221)( 38,225)( 39,224)
( 40,223)( 41,217)( 42,216)( 43,220)( 44,219)( 45,218)( 46,227)( 47,226)
( 48,230)( 49,229)( 50,228)( 51,237)( 52,236)( 53,240)( 54,239)( 55,238)
( 56,232)( 57,231)( 58,235)( 59,234)( 60,233)( 61,137)( 62,136)( 63,140)
( 64,139)( 65,138)( 66,147)( 67,146)( 68,150)( 69,149)( 70,148)( 71,142)
( 72,141)( 73,145)( 74,144)( 75,143)( 76,122)( 77,121)( 78,125)( 79,124)
( 80,123)( 81,132)( 82,131)( 83,135)( 84,134)( 85,133)( 86,127)( 87,126)
( 88,130)( 89,129)( 90,128)( 91,167)( 92,166)( 93,170)( 94,169)( 95,168)
( 96,177)( 97,176)( 98,180)( 99,179)(100,178)(101,172)(102,171)(103,175)
(104,174)(105,173)(106,152)(107,151)(108,155)(109,154)(110,153)(111,162)
(112,161)(113,165)(114,164)(115,163)(116,157)(117,156)(118,160)(119,159)
(120,158)(241,452)(242,451)(243,455)(244,454)(245,453)(246,462)(247,461)
(248,465)(249,464)(250,463)(251,457)(252,456)(253,460)(254,459)(255,458)
(256,467)(257,466)(258,470)(259,469)(260,468)(261,477)(262,476)(263,480)
(264,479)(265,478)(266,472)(267,471)(268,475)(269,474)(270,473)(271,422)
(272,421)(273,425)(274,424)(275,423)(276,432)(277,431)(278,435)(279,434)
(280,433)(281,427)(282,426)(283,430)(284,429)(285,428)(286,437)(287,436)
(288,440)(289,439)(290,438)(291,447)(292,446)(293,450)(294,449)(295,448)
(296,442)(297,441)(298,445)(299,444)(300,443)(301,407)(302,406)(303,410)
(304,409)(305,408)(306,417)(307,416)(308,420)(309,419)(310,418)(311,412)
(312,411)(313,415)(314,414)(315,413)(316,392)(317,391)(318,395)(319,394)
(320,393)(321,402)(322,401)(323,405)(324,404)(325,403)(326,397)(327,396)
(328,400)(329,399)(330,398)(331,377)(332,376)(333,380)(334,379)(335,378)
(336,387)(337,386)(338,390)(339,389)(340,388)(341,382)(342,381)(343,385)
(344,384)(345,383)(346,362)(347,361)(348,365)(349,364)(350,363)(351,372)
(352,371)(353,375)(354,374)(355,373)(356,367)(357,366)(358,370)(359,369)
(360,368)(481,602)(482,601)(483,605)(484,604)(485,603)(486,612)(487,611)
(488,615)(489,614)(490,613)(491,607)(492,606)(493,610)(494,609)(495,608)
(496,617)(497,616)(498,620)(499,619)(500,618)(501,627)(502,626)(503,630)
(504,629)(505,628)(506,622)(507,621)(508,625)(509,624)(510,623)(511,632)
(512,631)(513,635)(514,634)(515,633)(516,642)(517,641)(518,645)(519,644)
(520,643)(521,637)(522,636)(523,640)(524,639)(525,638)(526,647)(527,646)
(528,650)(529,649)(530,648)(531,657)(532,656)(533,660)(534,659)(535,658)
(536,652)(537,651)(538,655)(539,654)(540,653)(541,662)(542,661)(543,665)
(544,664)(545,663)(546,672)(547,671)(548,675)(549,674)(550,673)(551,667)
(552,666)(553,670)(554,669)(555,668)(556,677)(557,676)(558,680)(559,679)
(560,678)(561,687)(562,686)(563,690)(564,689)(565,688)(566,682)(567,681)
(568,685)(569,684)(570,683)(571,692)(572,691)(573,695)(574,694)(575,693)
(576,702)(577,701)(578,705)(579,704)(580,703)(581,697)(582,696)(583,700)
(584,699)(585,698)(586,707)(587,706)(588,710)(589,709)(590,708)(591,717)
(592,716)(593,720)(594,719)(595,718)(596,712)(597,711)(598,715)(599,714)
(600,713)(721,872)(722,871)(723,875)(724,874)(725,873)(726,882)(727,881)
(728,885)(729,884)(730,883)(731,877)(732,876)(733,880)(734,879)(735,878)
(736,887)(737,886)(738,890)(739,889)(740,888)(741,897)(742,896)(743,900)
(744,899)(745,898)(746,892)(747,891)(748,895)(749,894)(750,893)(751,842)
(752,841)(753,845)(754,844)(755,843)(756,852)(757,851)(758,855)(759,854)
(760,853)(761,847)(762,846)(763,850)(764,849)(765,848)(766,857)(767,856)
(768,860)(769,859)(770,858)(771,867)(772,866)(773,870)(774,869)(775,868)
(776,862)(777,861)(778,865)(779,864)(780,863)(781,932)(782,931)(783,935)
(784,934)(785,933)(786,942)(787,941)(788,945)(789,944)(790,943)(791,937)
(792,936)(793,940)(794,939)(795,938)(796,947)(797,946)(798,950)(799,949)
(800,948)(801,957)(802,956)(803,960)(804,959)(805,958)(806,952)(807,951)
(808,955)(809,954)(810,953)(811,902)(812,901)(813,905)(814,904)(815,903)
(816,912)(817,911)(818,915)(819,914)(820,913)(821,907)(822,906)(823,910)
(824,909)(825,908)(826,917)(827,916)(828,920)(829,919)(830,918)(831,927)
(832,926)(833,930)(834,929)(835,928)(836,922)(837,921)(838,925)(839,924)
(840,923);
s2 := Sym(960)!( 1,126)( 2,127)( 3,128)( 4,129)( 5,130)( 6,121)( 7,122)
( 8,123)( 9,124)( 10,125)( 11,131)( 12,132)( 13,133)( 14,134)( 15,135)
( 16,141)( 17,142)( 18,143)( 19,144)( 20,145)( 21,136)( 22,137)( 23,138)
( 24,139)( 25,140)( 26,146)( 27,147)( 28,148)( 29,149)( 30,150)( 31,156)
( 32,157)( 33,158)( 34,159)( 35,160)( 36,151)( 37,152)( 38,153)( 39,154)
( 40,155)( 41,161)( 42,162)( 43,163)( 44,164)( 45,165)( 46,171)( 47,172)
( 48,173)( 49,174)( 50,175)( 51,166)( 52,167)( 53,168)( 54,169)( 55,170)
( 56,176)( 57,177)( 58,178)( 59,179)( 60,180)( 61,201)( 62,202)( 63,203)
( 64,204)( 65,205)( 66,196)( 67,197)( 68,198)( 69,199)( 70,200)( 71,206)
( 72,207)( 73,208)( 74,209)( 75,210)( 76,186)( 77,187)( 78,188)( 79,189)
( 80,190)( 81,181)( 82,182)( 83,183)( 84,184)( 85,185)( 86,191)( 87,192)
( 88,193)( 89,194)( 90,195)( 91,231)( 92,232)( 93,233)( 94,234)( 95,235)
( 96,226)( 97,227)( 98,228)( 99,229)(100,230)(101,236)(102,237)(103,238)
(104,239)(105,240)(106,216)(107,217)(108,218)(109,219)(110,220)(111,211)
(112,212)(113,213)(114,214)(115,215)(116,221)(117,222)(118,223)(119,224)
(120,225)(241,366)(242,367)(243,368)(244,369)(245,370)(246,361)(247,362)
(248,363)(249,364)(250,365)(251,371)(252,372)(253,373)(254,374)(255,375)
(256,381)(257,382)(258,383)(259,384)(260,385)(261,376)(262,377)(263,378)
(264,379)(265,380)(266,386)(267,387)(268,388)(269,389)(270,390)(271,396)
(272,397)(273,398)(274,399)(275,400)(276,391)(277,392)(278,393)(279,394)
(280,395)(281,401)(282,402)(283,403)(284,404)(285,405)(286,411)(287,412)
(288,413)(289,414)(290,415)(291,406)(292,407)(293,408)(294,409)(295,410)
(296,416)(297,417)(298,418)(299,419)(300,420)(301,441)(302,442)(303,443)
(304,444)(305,445)(306,436)(307,437)(308,438)(309,439)(310,440)(311,446)
(312,447)(313,448)(314,449)(315,450)(316,426)(317,427)(318,428)(319,429)
(320,430)(321,421)(322,422)(323,423)(324,424)(325,425)(326,431)(327,432)
(328,433)(329,434)(330,435)(331,471)(332,472)(333,473)(334,474)(335,475)
(336,466)(337,467)(338,468)(339,469)(340,470)(341,476)(342,477)(343,478)
(344,479)(345,480)(346,456)(347,457)(348,458)(349,459)(350,460)(351,451)
(352,452)(353,453)(354,454)(355,455)(356,461)(357,462)(358,463)(359,464)
(360,465)(481,606)(482,607)(483,608)(484,609)(485,610)(486,601)(487,602)
(488,603)(489,604)(490,605)(491,611)(492,612)(493,613)(494,614)(495,615)
(496,621)(497,622)(498,623)(499,624)(500,625)(501,616)(502,617)(503,618)
(504,619)(505,620)(506,626)(507,627)(508,628)(509,629)(510,630)(511,636)
(512,637)(513,638)(514,639)(515,640)(516,631)(517,632)(518,633)(519,634)
(520,635)(521,641)(522,642)(523,643)(524,644)(525,645)(526,651)(527,652)
(528,653)(529,654)(530,655)(531,646)(532,647)(533,648)(534,649)(535,650)
(536,656)(537,657)(538,658)(539,659)(540,660)(541,681)(542,682)(543,683)
(544,684)(545,685)(546,676)(547,677)(548,678)(549,679)(550,680)(551,686)
(552,687)(553,688)(554,689)(555,690)(556,666)(557,667)(558,668)(559,669)
(560,670)(561,661)(562,662)(563,663)(564,664)(565,665)(566,671)(567,672)
(568,673)(569,674)(570,675)(571,711)(572,712)(573,713)(574,714)(575,715)
(576,706)(577,707)(578,708)(579,709)(580,710)(581,716)(582,717)(583,718)
(584,719)(585,720)(586,696)(587,697)(588,698)(589,699)(590,700)(591,691)
(592,692)(593,693)(594,694)(595,695)(596,701)(597,702)(598,703)(599,704)
(600,705)(721,846)(722,847)(723,848)(724,849)(725,850)(726,841)(727,842)
(728,843)(729,844)(730,845)(731,851)(732,852)(733,853)(734,854)(735,855)
(736,861)(737,862)(738,863)(739,864)(740,865)(741,856)(742,857)(743,858)
(744,859)(745,860)(746,866)(747,867)(748,868)(749,869)(750,870)(751,876)
(752,877)(753,878)(754,879)(755,880)(756,871)(757,872)(758,873)(759,874)
(760,875)(761,881)(762,882)(763,883)(764,884)(765,885)(766,891)(767,892)
(768,893)(769,894)(770,895)(771,886)(772,887)(773,888)(774,889)(775,890)
(776,896)(777,897)(778,898)(779,899)(780,900)(781,921)(782,922)(783,923)
(784,924)(785,925)(786,916)(787,917)(788,918)(789,919)(790,920)(791,926)
(792,927)(793,928)(794,929)(795,930)(796,906)(797,907)(798,908)(799,909)
(800,910)(801,901)(802,902)(803,903)(804,904)(805,905)(806,911)(807,912)
(808,913)(809,914)(810,915)(811,951)(812,952)(813,953)(814,954)(815,955)
(816,946)(817,947)(818,948)(819,949)(820,950)(821,956)(822,957)(823,958)
(824,959)(825,960)(826,936)(827,937)(828,938)(829,939)(830,940)(831,931)
(832,932)(833,933)(834,934)(835,935)(836,941)(837,942)(838,943)(839,944)
(840,945);
s3 := Sym(960)!( 1,481)( 2,482)( 3,483)( 4,484)( 5,485)( 6,486)( 7,487)
( 8,488)( 9,489)( 10,490)( 11,491)( 12,492)( 13,493)( 14,494)( 15,495)
( 16,496)( 17,497)( 18,498)( 19,499)( 20,500)( 21,501)( 22,502)( 23,503)
( 24,504)( 25,505)( 26,506)( 27,507)( 28,508)( 29,509)( 30,510)( 31,511)
( 32,512)( 33,513)( 34,514)( 35,515)( 36,516)( 37,517)( 38,518)( 39,519)
( 40,520)( 41,521)( 42,522)( 43,523)( 44,524)( 45,525)( 46,526)( 47,527)
( 48,528)( 49,529)( 50,530)( 51,531)( 52,532)( 53,533)( 54,534)( 55,535)
( 56,536)( 57,537)( 58,538)( 59,539)( 60,540)( 61,556)( 62,557)( 63,558)
( 64,559)( 65,560)( 66,561)( 67,562)( 68,563)( 69,564)( 70,565)( 71,566)
( 72,567)( 73,568)( 74,569)( 75,570)( 76,541)( 77,542)( 78,543)( 79,544)
( 80,545)( 81,546)( 82,547)( 83,548)( 84,549)( 85,550)( 86,551)( 87,552)
( 88,553)( 89,554)( 90,555)( 91,586)( 92,587)( 93,588)( 94,589)( 95,590)
( 96,591)( 97,592)( 98,593)( 99,594)(100,595)(101,596)(102,597)(103,598)
(104,599)(105,600)(106,571)(107,572)(108,573)(109,574)(110,575)(111,576)
(112,577)(113,578)(114,579)(115,580)(116,581)(117,582)(118,583)(119,584)
(120,585)(121,661)(122,662)(123,663)(124,664)(125,665)(126,666)(127,667)
(128,668)(129,669)(130,670)(131,671)(132,672)(133,673)(134,674)(135,675)
(136,676)(137,677)(138,678)(139,679)(140,680)(141,681)(142,682)(143,683)
(144,684)(145,685)(146,686)(147,687)(148,688)(149,689)(150,690)(151,691)
(152,692)(153,693)(154,694)(155,695)(156,696)(157,697)(158,698)(159,699)
(160,700)(161,701)(162,702)(163,703)(164,704)(165,705)(166,706)(167,707)
(168,708)(169,709)(170,710)(171,711)(172,712)(173,713)(174,714)(175,715)
(176,716)(177,717)(178,718)(179,719)(180,720)(181,601)(182,602)(183,603)
(184,604)(185,605)(186,606)(187,607)(188,608)(189,609)(190,610)(191,611)
(192,612)(193,613)(194,614)(195,615)(196,616)(197,617)(198,618)(199,619)
(200,620)(201,621)(202,622)(203,623)(204,624)(205,625)(206,626)(207,627)
(208,628)(209,629)(210,630)(211,631)(212,632)(213,633)(214,634)(215,635)
(216,636)(217,637)(218,638)(219,639)(220,640)(221,641)(222,642)(223,643)
(224,644)(225,645)(226,646)(227,647)(228,648)(229,649)(230,650)(231,651)
(232,652)(233,653)(234,654)(235,655)(236,656)(237,657)(238,658)(239,659)
(240,660)(241,721)(242,722)(243,723)(244,724)(245,725)(246,726)(247,727)
(248,728)(249,729)(250,730)(251,731)(252,732)(253,733)(254,734)(255,735)
(256,736)(257,737)(258,738)(259,739)(260,740)(261,741)(262,742)(263,743)
(264,744)(265,745)(266,746)(267,747)(268,748)(269,749)(270,750)(271,751)
(272,752)(273,753)(274,754)(275,755)(276,756)(277,757)(278,758)(279,759)
(280,760)(281,761)(282,762)(283,763)(284,764)(285,765)(286,766)(287,767)
(288,768)(289,769)(290,770)(291,771)(292,772)(293,773)(294,774)(295,775)
(296,776)(297,777)(298,778)(299,779)(300,780)(301,796)(302,797)(303,798)
(304,799)(305,800)(306,801)(307,802)(308,803)(309,804)(310,805)(311,806)
(312,807)(313,808)(314,809)(315,810)(316,781)(317,782)(318,783)(319,784)
(320,785)(321,786)(322,787)(323,788)(324,789)(325,790)(326,791)(327,792)
(328,793)(329,794)(330,795)(331,826)(332,827)(333,828)(334,829)(335,830)
(336,831)(337,832)(338,833)(339,834)(340,835)(341,836)(342,837)(343,838)
(344,839)(345,840)(346,811)(347,812)(348,813)(349,814)(350,815)(351,816)
(352,817)(353,818)(354,819)(355,820)(356,821)(357,822)(358,823)(359,824)
(360,825)(361,901)(362,902)(363,903)(364,904)(365,905)(366,906)(367,907)
(368,908)(369,909)(370,910)(371,911)(372,912)(373,913)(374,914)(375,915)
(376,916)(377,917)(378,918)(379,919)(380,920)(381,921)(382,922)(383,923)
(384,924)(385,925)(386,926)(387,927)(388,928)(389,929)(390,930)(391,931)
(392,932)(393,933)(394,934)(395,935)(396,936)(397,937)(398,938)(399,939)
(400,940)(401,941)(402,942)(403,943)(404,944)(405,945)(406,946)(407,947)
(408,948)(409,949)(410,950)(411,951)(412,952)(413,953)(414,954)(415,955)
(416,956)(417,957)(418,958)(419,959)(420,960)(421,841)(422,842)(423,843)
(424,844)(425,845)(426,846)(427,847)(428,848)(429,849)(430,850)(431,851)
(432,852)(433,853)(434,854)(435,855)(436,856)(437,857)(438,858)(439,859)
(440,860)(441,861)(442,862)(443,863)(444,864)(445,865)(446,866)(447,867)
(448,868)(449,869)(450,870)(451,871)(452,872)(453,873)(454,874)(455,875)
(456,876)(457,877)(458,878)(459,879)(460,880)(461,881)(462,882)(463,883)
(464,884)(465,885)(466,886)(467,887)(468,888)(469,889)(470,890)(471,891)
(472,892)(473,893)(474,894)(475,895)(476,896)(477,897)(478,898)(479,899)
(480,900);
poly := sub<Sym(960)|s0,s1,s2,s3>;
Finitely Presented Group Representation (Magma) :
poly<s0,s1,s2,s3> := Group< s0,s1,s2,s3 | s0*s0, s1*s1, s2*s2,
s3*s3, s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3,
s0*s1*s2*s1*s0*s1*s2*s1, s1*s2*s3*s2*s1*s2*s3*s2,
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2,
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3,
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1 >;
References : None.
to this polytope