Questions?
See the FAQ
or other info.

Polytope of Type {6,10,16}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {6,10,16}*1920
Also Known As : {{6,10|2},{10,16|2}}. if this polytope has another name.
Group : SmallGroup(1920,203901)
Rank : 4
Schlafli Type : {6,10,16}
Number of vertices, edges, etc : 6, 30, 80, 16
Order of s0s1s2s3 : 240
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 : {6,10,8}*960
   3-fold quotients : {2,10,16}*640
   4-fold quotients : {6,10,4}*480
   5-fold quotients : {6,2,16}*384
   6-fold quotients : {2,10,8}*320
   8-fold quotients : {6,10,2}*240
   10-fold quotients : {3,2,16}*192, {6,2,8}*192
   12-fold quotients : {2,10,4}*160
   15-fold quotients : {2,2,16}*128
   20-fold quotients : {3,2,8}*96, {6,2,4}*96
   24-fold quotients : {2,10,2}*80
   30-fold quotients : {2,2,8}*64
   40-fold quotients : {3,2,4}*48, {6,2,2}*48
   48-fold quotients : {2,5,2}*40
   60-fold quotients : {2,2,4}*32
   80-fold quotients : {3,2,2}*24
   120-fold quotients : {2,2,2}*16
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Permutation Representation (GAP) :
s0 := (  1,241)(  2,242)(  3,243)(  4,244)(  5,245)(  6,251)(  7,252)(  8,253)
(  9,254)( 10,255)( 11,246)( 12,247)( 13,248)( 14,249)( 15,250)( 16,256)
( 17,257)( 18,258)( 19,259)( 20,260)( 21,266)( 22,267)( 23,268)( 24,269)
( 25,270)( 26,261)( 27,262)( 28,263)( 29,264)( 30,265)( 31,271)( 32,272)
( 33,273)( 34,274)( 35,275)( 36,281)( 37,282)( 38,283)( 39,284)( 40,285)
( 41,276)( 42,277)( 43,278)( 44,279)( 45,280)( 46,286)( 47,287)( 48,288)
( 49,289)( 50,290)( 51,296)( 52,297)( 53,298)( 54,299)( 55,300)( 56,291)
( 57,292)( 58,293)( 59,294)( 60,295)( 61,301)( 62,302)( 63,303)( 64,304)
( 65,305)( 66,311)( 67,312)( 68,313)( 69,314)( 70,315)( 71,306)( 72,307)
( 73,308)( 74,309)( 75,310)( 76,316)( 77,317)( 78,318)( 79,319)( 80,320)
( 81,326)( 82,327)( 83,328)( 84,329)( 85,330)( 86,321)( 87,322)( 88,323)
( 89,324)( 90,325)( 91,331)( 92,332)( 93,333)( 94,334)( 95,335)( 96,341)
( 97,342)( 98,343)( 99,344)(100,345)(101,336)(102,337)(103,338)(104,339)
(105,340)(106,346)(107,347)(108,348)(109,349)(110,350)(111,356)(112,357)
(113,358)(114,359)(115,360)(116,351)(117,352)(118,353)(119,354)(120,355)
(121,361)(122,362)(123,363)(124,364)(125,365)(126,371)(127,372)(128,373)
(129,374)(130,375)(131,366)(132,367)(133,368)(134,369)(135,370)(136,376)
(137,377)(138,378)(139,379)(140,380)(141,386)(142,387)(143,388)(144,389)
(145,390)(146,381)(147,382)(148,383)(149,384)(150,385)(151,391)(152,392)
(153,393)(154,394)(155,395)(156,401)(157,402)(158,403)(159,404)(160,405)
(161,396)(162,397)(163,398)(164,399)(165,400)(166,406)(167,407)(168,408)
(169,409)(170,410)(171,416)(172,417)(173,418)(174,419)(175,420)(176,411)
(177,412)(178,413)(179,414)(180,415)(181,421)(182,422)(183,423)(184,424)
(185,425)(186,431)(187,432)(188,433)(189,434)(190,435)(191,426)(192,427)
(193,428)(194,429)(195,430)(196,436)(197,437)(198,438)(199,439)(200,440)
(201,446)(202,447)(203,448)(204,449)(205,450)(206,441)(207,442)(208,443)
(209,444)(210,445)(211,451)(212,452)(213,453)(214,454)(215,455)(216,461)
(217,462)(218,463)(219,464)(220,465)(221,456)(222,457)(223,458)(224,459)
(225,460)(226,466)(227,467)(228,468)(229,469)(230,470)(231,476)(232,477)
(233,478)(234,479)(235,480)(236,471)(237,472)(238,473)(239,474)(240,475)
(481,721)(482,722)(483,723)(484,724)(485,725)(486,731)(487,732)(488,733)
(489,734)(490,735)(491,726)(492,727)(493,728)(494,729)(495,730)(496,736)
(497,737)(498,738)(499,739)(500,740)(501,746)(502,747)(503,748)(504,749)
(505,750)(506,741)(507,742)(508,743)(509,744)(510,745)(511,751)(512,752)
(513,753)(514,754)(515,755)(516,761)(517,762)(518,763)(519,764)(520,765)
(521,756)(522,757)(523,758)(524,759)(525,760)(526,766)(527,767)(528,768)
(529,769)(530,770)(531,776)(532,777)(533,778)(534,779)(535,780)(536,771)
(537,772)(538,773)(539,774)(540,775)(541,781)(542,782)(543,783)(544,784)
(545,785)(546,791)(547,792)(548,793)(549,794)(550,795)(551,786)(552,787)
(553,788)(554,789)(555,790)(556,796)(557,797)(558,798)(559,799)(560,800)
(561,806)(562,807)(563,808)(564,809)(565,810)(566,801)(567,802)(568,803)
(569,804)(570,805)(571,811)(572,812)(573,813)(574,814)(575,815)(576,821)
(577,822)(578,823)(579,824)(580,825)(581,816)(582,817)(583,818)(584,819)
(585,820)(586,826)(587,827)(588,828)(589,829)(590,830)(591,836)(592,837)
(593,838)(594,839)(595,840)(596,831)(597,832)(598,833)(599,834)(600,835)
(601,841)(602,842)(603,843)(604,844)(605,845)(606,851)(607,852)(608,853)
(609,854)(610,855)(611,846)(612,847)(613,848)(614,849)(615,850)(616,856)
(617,857)(618,858)(619,859)(620,860)(621,866)(622,867)(623,868)(624,869)
(625,870)(626,861)(627,862)(628,863)(629,864)(630,865)(631,871)(632,872)
(633,873)(634,874)(635,875)(636,881)(637,882)(638,883)(639,884)(640,885)
(641,876)(642,877)(643,878)(644,879)(645,880)(646,886)(647,887)(648,888)
(649,889)(650,890)(651,896)(652,897)(653,898)(654,899)(655,900)(656,891)
(657,892)(658,893)(659,894)(660,895)(661,901)(662,902)(663,903)(664,904)
(665,905)(666,911)(667,912)(668,913)(669,914)(670,915)(671,906)(672,907)
(673,908)(674,909)(675,910)(676,916)(677,917)(678,918)(679,919)(680,920)
(681,926)(682,927)(683,928)(684,929)(685,930)(686,921)(687,922)(688,923)
(689,924)(690,925)(691,931)(692,932)(693,933)(694,934)(695,935)(696,941)
(697,942)(698,943)(699,944)(700,945)(701,936)(702,937)(703,938)(704,939)
(705,940)(706,946)(707,947)(708,948)(709,949)(710,950)(711,956)(712,957)
(713,958)(714,959)(715,960)(716,951)(717,952)(718,953)(719,954)(720,955);;
s1 := (  1,366)(  2,370)(  3,369)(  4,368)(  5,367)(  6,361)(  7,365)(  8,364)
(  9,363)( 10,362)( 11,371)( 12,375)( 13,374)( 14,373)( 15,372)( 16,381)
( 17,385)( 18,384)( 19,383)( 20,382)( 21,376)( 22,380)( 23,379)( 24,378)
( 25,377)( 26,386)( 27,390)( 28,389)( 29,388)( 30,387)( 31,396)( 32,400)
( 33,399)( 34,398)( 35,397)( 36,391)( 37,395)( 38,394)( 39,393)( 40,392)
( 41,401)( 42,405)( 43,404)( 44,403)( 45,402)( 46,411)( 47,415)( 48,414)
( 49,413)( 50,412)( 51,406)( 52,410)( 53,409)( 54,408)( 55,407)( 56,416)
( 57,420)( 58,419)( 59,418)( 60,417)( 61,426)( 62,430)( 63,429)( 64,428)
( 65,427)( 66,421)( 67,425)( 68,424)( 69,423)( 70,422)( 71,431)( 72,435)
( 73,434)( 74,433)( 75,432)( 76,441)( 77,445)( 78,444)( 79,443)( 80,442)
( 81,436)( 82,440)( 83,439)( 84,438)( 85,437)( 86,446)( 87,450)( 88,449)
( 89,448)( 90,447)( 91,456)( 92,460)( 93,459)( 94,458)( 95,457)( 96,451)
( 97,455)( 98,454)( 99,453)(100,452)(101,461)(102,465)(103,464)(104,463)
(105,462)(106,471)(107,475)(108,474)(109,473)(110,472)(111,466)(112,470)
(113,469)(114,468)(115,467)(116,476)(117,480)(118,479)(119,478)(120,477)
(121,246)(122,250)(123,249)(124,248)(125,247)(126,241)(127,245)(128,244)
(129,243)(130,242)(131,251)(132,255)(133,254)(134,253)(135,252)(136,261)
(137,265)(138,264)(139,263)(140,262)(141,256)(142,260)(143,259)(144,258)
(145,257)(146,266)(147,270)(148,269)(149,268)(150,267)(151,276)(152,280)
(153,279)(154,278)(155,277)(156,271)(157,275)(158,274)(159,273)(160,272)
(161,281)(162,285)(163,284)(164,283)(165,282)(166,291)(167,295)(168,294)
(169,293)(170,292)(171,286)(172,290)(173,289)(174,288)(175,287)(176,296)
(177,300)(178,299)(179,298)(180,297)(181,306)(182,310)(183,309)(184,308)
(185,307)(186,301)(187,305)(188,304)(189,303)(190,302)(191,311)(192,315)
(193,314)(194,313)(195,312)(196,321)(197,325)(198,324)(199,323)(200,322)
(201,316)(202,320)(203,319)(204,318)(205,317)(206,326)(207,330)(208,329)
(209,328)(210,327)(211,336)(212,340)(213,339)(214,338)(215,337)(216,331)
(217,335)(218,334)(219,333)(220,332)(221,341)(222,345)(223,344)(224,343)
(225,342)(226,351)(227,355)(228,354)(229,353)(230,352)(231,346)(232,350)
(233,349)(234,348)(235,347)(236,356)(237,360)(238,359)(239,358)(240,357)
(481,846)(482,850)(483,849)(484,848)(485,847)(486,841)(487,845)(488,844)
(489,843)(490,842)(491,851)(492,855)(493,854)(494,853)(495,852)(496,861)
(497,865)(498,864)(499,863)(500,862)(501,856)(502,860)(503,859)(504,858)
(505,857)(506,866)(507,870)(508,869)(509,868)(510,867)(511,876)(512,880)
(513,879)(514,878)(515,877)(516,871)(517,875)(518,874)(519,873)(520,872)
(521,881)(522,885)(523,884)(524,883)(525,882)(526,891)(527,895)(528,894)
(529,893)(530,892)(531,886)(532,890)(533,889)(534,888)(535,887)(536,896)
(537,900)(538,899)(539,898)(540,897)(541,906)(542,910)(543,909)(544,908)
(545,907)(546,901)(547,905)(548,904)(549,903)(550,902)(551,911)(552,915)
(553,914)(554,913)(555,912)(556,921)(557,925)(558,924)(559,923)(560,922)
(561,916)(562,920)(563,919)(564,918)(565,917)(566,926)(567,930)(568,929)
(569,928)(570,927)(571,936)(572,940)(573,939)(574,938)(575,937)(576,931)
(577,935)(578,934)(579,933)(580,932)(581,941)(582,945)(583,944)(584,943)
(585,942)(586,951)(587,955)(588,954)(589,953)(590,952)(591,946)(592,950)
(593,949)(594,948)(595,947)(596,956)(597,960)(598,959)(599,958)(600,957)
(601,726)(602,730)(603,729)(604,728)(605,727)(606,721)(607,725)(608,724)
(609,723)(610,722)(611,731)(612,735)(613,734)(614,733)(615,732)(616,741)
(617,745)(618,744)(619,743)(620,742)(621,736)(622,740)(623,739)(624,738)
(625,737)(626,746)(627,750)(628,749)(629,748)(630,747)(631,756)(632,760)
(633,759)(634,758)(635,757)(636,751)(637,755)(638,754)(639,753)(640,752)
(641,761)(642,765)(643,764)(644,763)(645,762)(646,771)(647,775)(648,774)
(649,773)(650,772)(651,766)(652,770)(653,769)(654,768)(655,767)(656,776)
(657,780)(658,779)(659,778)(660,777)(661,786)(662,790)(663,789)(664,788)
(665,787)(666,781)(667,785)(668,784)(669,783)(670,782)(671,791)(672,795)
(673,794)(674,793)(675,792)(676,801)(677,805)(678,804)(679,803)(680,802)
(681,796)(682,800)(683,799)(684,798)(685,797)(686,806)(687,810)(688,809)
(689,808)(690,807)(691,816)(692,820)(693,819)(694,818)(695,817)(696,811)
(697,815)(698,814)(699,813)(700,812)(701,821)(702,825)(703,824)(704,823)
(705,822)(706,831)(707,835)(708,834)(709,833)(710,832)(711,826)(712,830)
(713,829)(714,828)(715,827)(716,836)(717,840)(718,839)(719,838)(720,837);;
s2 := (  1,122)(  2,121)(  3,125)(  4,124)(  5,123)(  6,127)(  7,126)(  8,130)
(  9,129)( 10,128)( 11,132)( 12,131)( 13,135)( 14,134)( 15,133)( 16,137)
( 17,136)( 18,140)( 19,139)( 20,138)( 21,142)( 22,141)( 23,145)( 24,144)
( 25,143)( 26,147)( 27,146)( 28,150)( 29,149)( 30,148)( 31,167)( 32,166)
( 33,170)( 34,169)( 35,168)( 36,172)( 37,171)( 38,175)( 39,174)( 40,173)
( 41,177)( 42,176)( 43,180)( 44,179)( 45,178)( 46,152)( 47,151)( 48,155)
( 49,154)( 50,153)( 51,157)( 52,156)( 53,160)( 54,159)( 55,158)( 56,162)
( 57,161)( 58,165)( 59,164)( 60,163)( 61,212)( 62,211)( 63,215)( 64,214)
( 65,213)( 66,217)( 67,216)( 68,220)( 69,219)( 70,218)( 71,222)( 72,221)
( 73,225)( 74,224)( 75,223)( 76,227)( 77,226)( 78,230)( 79,229)( 80,228)
( 81,232)( 82,231)( 83,235)( 84,234)( 85,233)( 86,237)( 87,236)( 88,240)
( 89,239)( 90,238)( 91,182)( 92,181)( 93,185)( 94,184)( 95,183)( 96,187)
( 97,186)( 98,190)( 99,189)(100,188)(101,192)(102,191)(103,195)(104,194)
(105,193)(106,197)(107,196)(108,200)(109,199)(110,198)(111,202)(112,201)
(113,205)(114,204)(115,203)(116,207)(117,206)(118,210)(119,209)(120,208)
(241,362)(242,361)(243,365)(244,364)(245,363)(246,367)(247,366)(248,370)
(249,369)(250,368)(251,372)(252,371)(253,375)(254,374)(255,373)(256,377)
(257,376)(258,380)(259,379)(260,378)(261,382)(262,381)(263,385)(264,384)
(265,383)(266,387)(267,386)(268,390)(269,389)(270,388)(271,407)(272,406)
(273,410)(274,409)(275,408)(276,412)(277,411)(278,415)(279,414)(280,413)
(281,417)(282,416)(283,420)(284,419)(285,418)(286,392)(287,391)(288,395)
(289,394)(290,393)(291,397)(292,396)(293,400)(294,399)(295,398)(296,402)
(297,401)(298,405)(299,404)(300,403)(301,452)(302,451)(303,455)(304,454)
(305,453)(306,457)(307,456)(308,460)(309,459)(310,458)(311,462)(312,461)
(313,465)(314,464)(315,463)(316,467)(317,466)(318,470)(319,469)(320,468)
(321,472)(322,471)(323,475)(324,474)(325,473)(326,477)(327,476)(328,480)
(329,479)(330,478)(331,422)(332,421)(333,425)(334,424)(335,423)(336,427)
(337,426)(338,430)(339,429)(340,428)(341,432)(342,431)(343,435)(344,434)
(345,433)(346,437)(347,436)(348,440)(349,439)(350,438)(351,442)(352,441)
(353,445)(354,444)(355,443)(356,447)(357,446)(358,450)(359,449)(360,448)
(481,662)(482,661)(483,665)(484,664)(485,663)(486,667)(487,666)(488,670)
(489,669)(490,668)(491,672)(492,671)(493,675)(494,674)(495,673)(496,677)
(497,676)(498,680)(499,679)(500,678)(501,682)(502,681)(503,685)(504,684)
(505,683)(506,687)(507,686)(508,690)(509,689)(510,688)(511,707)(512,706)
(513,710)(514,709)(515,708)(516,712)(517,711)(518,715)(519,714)(520,713)
(521,717)(522,716)(523,720)(524,719)(525,718)(526,692)(527,691)(528,695)
(529,694)(530,693)(531,697)(532,696)(533,700)(534,699)(535,698)(536,702)
(537,701)(538,705)(539,704)(540,703)(541,602)(542,601)(543,605)(544,604)
(545,603)(546,607)(547,606)(548,610)(549,609)(550,608)(551,612)(552,611)
(553,615)(554,614)(555,613)(556,617)(557,616)(558,620)(559,619)(560,618)
(561,622)(562,621)(563,625)(564,624)(565,623)(566,627)(567,626)(568,630)
(569,629)(570,628)(571,647)(572,646)(573,650)(574,649)(575,648)(576,652)
(577,651)(578,655)(579,654)(580,653)(581,657)(582,656)(583,660)(584,659)
(585,658)(586,632)(587,631)(588,635)(589,634)(590,633)(591,637)(592,636)
(593,640)(594,639)(595,638)(596,642)(597,641)(598,645)(599,644)(600,643)
(721,902)(722,901)(723,905)(724,904)(725,903)(726,907)(727,906)(728,910)
(729,909)(730,908)(731,912)(732,911)(733,915)(734,914)(735,913)(736,917)
(737,916)(738,920)(739,919)(740,918)(741,922)(742,921)(743,925)(744,924)
(745,923)(746,927)(747,926)(748,930)(749,929)(750,928)(751,947)(752,946)
(753,950)(754,949)(755,948)(756,952)(757,951)(758,955)(759,954)(760,953)
(761,957)(762,956)(763,960)(764,959)(765,958)(766,932)(767,931)(768,935)
(769,934)(770,933)(771,937)(772,936)(773,940)(774,939)(775,938)(776,942)
(777,941)(778,945)(779,944)(780,943)(781,842)(782,841)(783,845)(784,844)
(785,843)(786,847)(787,846)(788,850)(789,849)(790,848)(791,852)(792,851)
(793,855)(794,854)(795,853)(796,857)(797,856)(798,860)(799,859)(800,858)
(801,862)(802,861)(803,865)(804,864)(805,863)(806,867)(807,866)(808,870)
(809,869)(810,868)(811,887)(812,886)(813,890)(814,889)(815,888)(816,892)
(817,891)(818,895)(819,894)(820,893)(821,897)(822,896)(823,900)(824,899)
(825,898)(826,872)(827,871)(828,875)(829,874)(830,873)(831,877)(832,876)
(833,880)(834,879)(835,878)(836,882)(837,881)(838,885)(839,884)(840,883);;
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)( 31,526)( 32,527)
( 33,528)( 34,529)( 35,530)( 36,531)( 37,532)( 38,533)( 39,534)( 40,535)
( 41,536)( 42,537)( 43,538)( 44,539)( 45,540)( 46,511)( 47,512)( 48,513)
( 49,514)( 50,515)( 51,516)( 52,517)( 53,518)( 54,519)( 55,520)( 56,521)
( 57,522)( 58,523)( 59,524)( 60,525)( 61,571)( 62,572)( 63,573)( 64,574)
( 65,575)( 66,576)( 67,577)( 68,578)( 69,579)( 70,580)( 71,581)( 72,582)
( 73,583)( 74,584)( 75,585)( 76,586)( 77,587)( 78,588)( 79,589)( 80,590)
( 81,591)( 82,592)( 83,593)( 84,594)( 85,595)( 86,596)( 87,597)( 88,598)
( 89,599)( 90,600)( 91,541)( 92,542)( 93,543)( 94,544)( 95,545)( 96,546)
( 97,547)( 98,548)( 99,549)(100,550)(101,551)(102,552)(103,553)(104,554)
(105,555)(106,556)(107,557)(108,558)(109,559)(110,560)(111,561)(112,562)
(113,563)(114,564)(115,565)(116,566)(117,567)(118,568)(119,569)(120,570)
(121,601)(122,602)(123,603)(124,604)(125,605)(126,606)(127,607)(128,608)
(129,609)(130,610)(131,611)(132,612)(133,613)(134,614)(135,615)(136,616)
(137,617)(138,618)(139,619)(140,620)(141,621)(142,622)(143,623)(144,624)
(145,625)(146,626)(147,627)(148,628)(149,629)(150,630)(151,646)(152,647)
(153,648)(154,649)(155,650)(156,651)(157,652)(158,653)(159,654)(160,655)
(161,656)(162,657)(163,658)(164,659)(165,660)(166,631)(167,632)(168,633)
(169,634)(170,635)(171,636)(172,637)(173,638)(174,639)(175,640)(176,641)
(177,642)(178,643)(179,644)(180,645)(181,691)(182,692)(183,693)(184,694)
(185,695)(186,696)(187,697)(188,698)(189,699)(190,700)(191,701)(192,702)
(193,703)(194,704)(195,705)(196,706)(197,707)(198,708)(199,709)(200,710)
(201,711)(202,712)(203,713)(204,714)(205,715)(206,716)(207,717)(208,718)
(209,719)(210,720)(211,661)(212,662)(213,663)(214,664)(215,665)(216,666)
(217,667)(218,668)(219,669)(220,670)(221,671)(222,672)(223,673)(224,674)
(225,675)(226,676)(227,677)(228,678)(229,679)(230,680)(231,681)(232,682)
(233,683)(234,684)(235,685)(236,686)(237,687)(238,688)(239,689)(240,690)
(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)(271,766)(272,767)
(273,768)(274,769)(275,770)(276,771)(277,772)(278,773)(279,774)(280,775)
(281,776)(282,777)(283,778)(284,779)(285,780)(286,751)(287,752)(288,753)
(289,754)(290,755)(291,756)(292,757)(293,758)(294,759)(295,760)(296,761)
(297,762)(298,763)(299,764)(300,765)(301,811)(302,812)(303,813)(304,814)
(305,815)(306,816)(307,817)(308,818)(309,819)(310,820)(311,821)(312,822)
(313,823)(314,824)(315,825)(316,826)(317,827)(318,828)(319,829)(320,830)
(321,831)(322,832)(323,833)(324,834)(325,835)(326,836)(327,837)(328,838)
(329,839)(330,840)(331,781)(332,782)(333,783)(334,784)(335,785)(336,786)
(337,787)(338,788)(339,789)(340,790)(341,791)(342,792)(343,793)(344,794)
(345,795)(346,796)(347,797)(348,798)(349,799)(350,800)(351,801)(352,802)
(353,803)(354,804)(355,805)(356,806)(357,807)(358,808)(359,809)(360,810)
(361,841)(362,842)(363,843)(364,844)(365,845)(366,846)(367,847)(368,848)
(369,849)(370,850)(371,851)(372,852)(373,853)(374,854)(375,855)(376,856)
(377,857)(378,858)(379,859)(380,860)(381,861)(382,862)(383,863)(384,864)
(385,865)(386,866)(387,867)(388,868)(389,869)(390,870)(391,886)(392,887)
(393,888)(394,889)(395,890)(396,891)(397,892)(398,893)(399,894)(400,895)
(401,896)(402,897)(403,898)(404,899)(405,900)(406,871)(407,872)(408,873)
(409,874)(410,875)(411,876)(412,877)(413,878)(414,879)(415,880)(416,881)
(417,882)(418,883)(419,884)(420,885)(421,931)(422,932)(423,933)(424,934)
(425,935)(426,936)(427,937)(428,938)(429,939)(430,940)(431,941)(432,942)
(433,943)(434,944)(435,945)(436,946)(437,947)(438,948)(439,949)(440,950)
(441,951)(442,952)(443,953)(444,954)(445,955)(446,956)(447,957)(448,958)
(449,959)(450,960)(451,901)(452,902)(453,903)(454,904)(455,905)(456,906)
(457,907)(458,908)(459,909)(460,910)(461,911)(462,912)(463,913)(464,914)
(465,915)(466,916)(467,917)(468,918)(469,919)(470,920)(471,921)(472,922)
(473,923)(474,924)(475,925)(476,926)(477,927)(478,928)(479,929)(480,930);;
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, s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, 
s1*s2*s1*s2*s1*s2*s1*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*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 ];;
poly := F / rels;;
 
Permutation Representation (Magma) :
s0 := Sym(960)!(  1,241)(  2,242)(  3,243)(  4,244)(  5,245)(  6,251)(  7,252)
(  8,253)(  9,254)( 10,255)( 11,246)( 12,247)( 13,248)( 14,249)( 15,250)
( 16,256)( 17,257)( 18,258)( 19,259)( 20,260)( 21,266)( 22,267)( 23,268)
( 24,269)( 25,270)( 26,261)( 27,262)( 28,263)( 29,264)( 30,265)( 31,271)
( 32,272)( 33,273)( 34,274)( 35,275)( 36,281)( 37,282)( 38,283)( 39,284)
( 40,285)( 41,276)( 42,277)( 43,278)( 44,279)( 45,280)( 46,286)( 47,287)
( 48,288)( 49,289)( 50,290)( 51,296)( 52,297)( 53,298)( 54,299)( 55,300)
( 56,291)( 57,292)( 58,293)( 59,294)( 60,295)( 61,301)( 62,302)( 63,303)
( 64,304)( 65,305)( 66,311)( 67,312)( 68,313)( 69,314)( 70,315)( 71,306)
( 72,307)( 73,308)( 74,309)( 75,310)( 76,316)( 77,317)( 78,318)( 79,319)
( 80,320)( 81,326)( 82,327)( 83,328)( 84,329)( 85,330)( 86,321)( 87,322)
( 88,323)( 89,324)( 90,325)( 91,331)( 92,332)( 93,333)( 94,334)( 95,335)
( 96,341)( 97,342)( 98,343)( 99,344)(100,345)(101,336)(102,337)(103,338)
(104,339)(105,340)(106,346)(107,347)(108,348)(109,349)(110,350)(111,356)
(112,357)(113,358)(114,359)(115,360)(116,351)(117,352)(118,353)(119,354)
(120,355)(121,361)(122,362)(123,363)(124,364)(125,365)(126,371)(127,372)
(128,373)(129,374)(130,375)(131,366)(132,367)(133,368)(134,369)(135,370)
(136,376)(137,377)(138,378)(139,379)(140,380)(141,386)(142,387)(143,388)
(144,389)(145,390)(146,381)(147,382)(148,383)(149,384)(150,385)(151,391)
(152,392)(153,393)(154,394)(155,395)(156,401)(157,402)(158,403)(159,404)
(160,405)(161,396)(162,397)(163,398)(164,399)(165,400)(166,406)(167,407)
(168,408)(169,409)(170,410)(171,416)(172,417)(173,418)(174,419)(175,420)
(176,411)(177,412)(178,413)(179,414)(180,415)(181,421)(182,422)(183,423)
(184,424)(185,425)(186,431)(187,432)(188,433)(189,434)(190,435)(191,426)
(192,427)(193,428)(194,429)(195,430)(196,436)(197,437)(198,438)(199,439)
(200,440)(201,446)(202,447)(203,448)(204,449)(205,450)(206,441)(207,442)
(208,443)(209,444)(210,445)(211,451)(212,452)(213,453)(214,454)(215,455)
(216,461)(217,462)(218,463)(219,464)(220,465)(221,456)(222,457)(223,458)
(224,459)(225,460)(226,466)(227,467)(228,468)(229,469)(230,470)(231,476)
(232,477)(233,478)(234,479)(235,480)(236,471)(237,472)(238,473)(239,474)
(240,475)(481,721)(482,722)(483,723)(484,724)(485,725)(486,731)(487,732)
(488,733)(489,734)(490,735)(491,726)(492,727)(493,728)(494,729)(495,730)
(496,736)(497,737)(498,738)(499,739)(500,740)(501,746)(502,747)(503,748)
(504,749)(505,750)(506,741)(507,742)(508,743)(509,744)(510,745)(511,751)
(512,752)(513,753)(514,754)(515,755)(516,761)(517,762)(518,763)(519,764)
(520,765)(521,756)(522,757)(523,758)(524,759)(525,760)(526,766)(527,767)
(528,768)(529,769)(530,770)(531,776)(532,777)(533,778)(534,779)(535,780)
(536,771)(537,772)(538,773)(539,774)(540,775)(541,781)(542,782)(543,783)
(544,784)(545,785)(546,791)(547,792)(548,793)(549,794)(550,795)(551,786)
(552,787)(553,788)(554,789)(555,790)(556,796)(557,797)(558,798)(559,799)
(560,800)(561,806)(562,807)(563,808)(564,809)(565,810)(566,801)(567,802)
(568,803)(569,804)(570,805)(571,811)(572,812)(573,813)(574,814)(575,815)
(576,821)(577,822)(578,823)(579,824)(580,825)(581,816)(582,817)(583,818)
(584,819)(585,820)(586,826)(587,827)(588,828)(589,829)(590,830)(591,836)
(592,837)(593,838)(594,839)(595,840)(596,831)(597,832)(598,833)(599,834)
(600,835)(601,841)(602,842)(603,843)(604,844)(605,845)(606,851)(607,852)
(608,853)(609,854)(610,855)(611,846)(612,847)(613,848)(614,849)(615,850)
(616,856)(617,857)(618,858)(619,859)(620,860)(621,866)(622,867)(623,868)
(624,869)(625,870)(626,861)(627,862)(628,863)(629,864)(630,865)(631,871)
(632,872)(633,873)(634,874)(635,875)(636,881)(637,882)(638,883)(639,884)
(640,885)(641,876)(642,877)(643,878)(644,879)(645,880)(646,886)(647,887)
(648,888)(649,889)(650,890)(651,896)(652,897)(653,898)(654,899)(655,900)
(656,891)(657,892)(658,893)(659,894)(660,895)(661,901)(662,902)(663,903)
(664,904)(665,905)(666,911)(667,912)(668,913)(669,914)(670,915)(671,906)
(672,907)(673,908)(674,909)(675,910)(676,916)(677,917)(678,918)(679,919)
(680,920)(681,926)(682,927)(683,928)(684,929)(685,930)(686,921)(687,922)
(688,923)(689,924)(690,925)(691,931)(692,932)(693,933)(694,934)(695,935)
(696,941)(697,942)(698,943)(699,944)(700,945)(701,936)(702,937)(703,938)
(704,939)(705,940)(706,946)(707,947)(708,948)(709,949)(710,950)(711,956)
(712,957)(713,958)(714,959)(715,960)(716,951)(717,952)(718,953)(719,954)
(720,955);
s1 := Sym(960)!(  1,366)(  2,370)(  3,369)(  4,368)(  5,367)(  6,361)(  7,365)
(  8,364)(  9,363)( 10,362)( 11,371)( 12,375)( 13,374)( 14,373)( 15,372)
( 16,381)( 17,385)( 18,384)( 19,383)( 20,382)( 21,376)( 22,380)( 23,379)
( 24,378)( 25,377)( 26,386)( 27,390)( 28,389)( 29,388)( 30,387)( 31,396)
( 32,400)( 33,399)( 34,398)( 35,397)( 36,391)( 37,395)( 38,394)( 39,393)
( 40,392)( 41,401)( 42,405)( 43,404)( 44,403)( 45,402)( 46,411)( 47,415)
( 48,414)( 49,413)( 50,412)( 51,406)( 52,410)( 53,409)( 54,408)( 55,407)
( 56,416)( 57,420)( 58,419)( 59,418)( 60,417)( 61,426)( 62,430)( 63,429)
( 64,428)( 65,427)( 66,421)( 67,425)( 68,424)( 69,423)( 70,422)( 71,431)
( 72,435)( 73,434)( 74,433)( 75,432)( 76,441)( 77,445)( 78,444)( 79,443)
( 80,442)( 81,436)( 82,440)( 83,439)( 84,438)( 85,437)( 86,446)( 87,450)
( 88,449)( 89,448)( 90,447)( 91,456)( 92,460)( 93,459)( 94,458)( 95,457)
( 96,451)( 97,455)( 98,454)( 99,453)(100,452)(101,461)(102,465)(103,464)
(104,463)(105,462)(106,471)(107,475)(108,474)(109,473)(110,472)(111,466)
(112,470)(113,469)(114,468)(115,467)(116,476)(117,480)(118,479)(119,478)
(120,477)(121,246)(122,250)(123,249)(124,248)(125,247)(126,241)(127,245)
(128,244)(129,243)(130,242)(131,251)(132,255)(133,254)(134,253)(135,252)
(136,261)(137,265)(138,264)(139,263)(140,262)(141,256)(142,260)(143,259)
(144,258)(145,257)(146,266)(147,270)(148,269)(149,268)(150,267)(151,276)
(152,280)(153,279)(154,278)(155,277)(156,271)(157,275)(158,274)(159,273)
(160,272)(161,281)(162,285)(163,284)(164,283)(165,282)(166,291)(167,295)
(168,294)(169,293)(170,292)(171,286)(172,290)(173,289)(174,288)(175,287)
(176,296)(177,300)(178,299)(179,298)(180,297)(181,306)(182,310)(183,309)
(184,308)(185,307)(186,301)(187,305)(188,304)(189,303)(190,302)(191,311)
(192,315)(193,314)(194,313)(195,312)(196,321)(197,325)(198,324)(199,323)
(200,322)(201,316)(202,320)(203,319)(204,318)(205,317)(206,326)(207,330)
(208,329)(209,328)(210,327)(211,336)(212,340)(213,339)(214,338)(215,337)
(216,331)(217,335)(218,334)(219,333)(220,332)(221,341)(222,345)(223,344)
(224,343)(225,342)(226,351)(227,355)(228,354)(229,353)(230,352)(231,346)
(232,350)(233,349)(234,348)(235,347)(236,356)(237,360)(238,359)(239,358)
(240,357)(481,846)(482,850)(483,849)(484,848)(485,847)(486,841)(487,845)
(488,844)(489,843)(490,842)(491,851)(492,855)(493,854)(494,853)(495,852)
(496,861)(497,865)(498,864)(499,863)(500,862)(501,856)(502,860)(503,859)
(504,858)(505,857)(506,866)(507,870)(508,869)(509,868)(510,867)(511,876)
(512,880)(513,879)(514,878)(515,877)(516,871)(517,875)(518,874)(519,873)
(520,872)(521,881)(522,885)(523,884)(524,883)(525,882)(526,891)(527,895)
(528,894)(529,893)(530,892)(531,886)(532,890)(533,889)(534,888)(535,887)
(536,896)(537,900)(538,899)(539,898)(540,897)(541,906)(542,910)(543,909)
(544,908)(545,907)(546,901)(547,905)(548,904)(549,903)(550,902)(551,911)
(552,915)(553,914)(554,913)(555,912)(556,921)(557,925)(558,924)(559,923)
(560,922)(561,916)(562,920)(563,919)(564,918)(565,917)(566,926)(567,930)
(568,929)(569,928)(570,927)(571,936)(572,940)(573,939)(574,938)(575,937)
(576,931)(577,935)(578,934)(579,933)(580,932)(581,941)(582,945)(583,944)
(584,943)(585,942)(586,951)(587,955)(588,954)(589,953)(590,952)(591,946)
(592,950)(593,949)(594,948)(595,947)(596,956)(597,960)(598,959)(599,958)
(600,957)(601,726)(602,730)(603,729)(604,728)(605,727)(606,721)(607,725)
(608,724)(609,723)(610,722)(611,731)(612,735)(613,734)(614,733)(615,732)
(616,741)(617,745)(618,744)(619,743)(620,742)(621,736)(622,740)(623,739)
(624,738)(625,737)(626,746)(627,750)(628,749)(629,748)(630,747)(631,756)
(632,760)(633,759)(634,758)(635,757)(636,751)(637,755)(638,754)(639,753)
(640,752)(641,761)(642,765)(643,764)(644,763)(645,762)(646,771)(647,775)
(648,774)(649,773)(650,772)(651,766)(652,770)(653,769)(654,768)(655,767)
(656,776)(657,780)(658,779)(659,778)(660,777)(661,786)(662,790)(663,789)
(664,788)(665,787)(666,781)(667,785)(668,784)(669,783)(670,782)(671,791)
(672,795)(673,794)(674,793)(675,792)(676,801)(677,805)(678,804)(679,803)
(680,802)(681,796)(682,800)(683,799)(684,798)(685,797)(686,806)(687,810)
(688,809)(689,808)(690,807)(691,816)(692,820)(693,819)(694,818)(695,817)
(696,811)(697,815)(698,814)(699,813)(700,812)(701,821)(702,825)(703,824)
(704,823)(705,822)(706,831)(707,835)(708,834)(709,833)(710,832)(711,826)
(712,830)(713,829)(714,828)(715,827)(716,836)(717,840)(718,839)(719,838)
(720,837);
s2 := Sym(960)!(  1,122)(  2,121)(  3,125)(  4,124)(  5,123)(  6,127)(  7,126)
(  8,130)(  9,129)( 10,128)( 11,132)( 12,131)( 13,135)( 14,134)( 15,133)
( 16,137)( 17,136)( 18,140)( 19,139)( 20,138)( 21,142)( 22,141)( 23,145)
( 24,144)( 25,143)( 26,147)( 27,146)( 28,150)( 29,149)( 30,148)( 31,167)
( 32,166)( 33,170)( 34,169)( 35,168)( 36,172)( 37,171)( 38,175)( 39,174)
( 40,173)( 41,177)( 42,176)( 43,180)( 44,179)( 45,178)( 46,152)( 47,151)
( 48,155)( 49,154)( 50,153)( 51,157)( 52,156)( 53,160)( 54,159)( 55,158)
( 56,162)( 57,161)( 58,165)( 59,164)( 60,163)( 61,212)( 62,211)( 63,215)
( 64,214)( 65,213)( 66,217)( 67,216)( 68,220)( 69,219)( 70,218)( 71,222)
( 72,221)( 73,225)( 74,224)( 75,223)( 76,227)( 77,226)( 78,230)( 79,229)
( 80,228)( 81,232)( 82,231)( 83,235)( 84,234)( 85,233)( 86,237)( 87,236)
( 88,240)( 89,239)( 90,238)( 91,182)( 92,181)( 93,185)( 94,184)( 95,183)
( 96,187)( 97,186)( 98,190)( 99,189)(100,188)(101,192)(102,191)(103,195)
(104,194)(105,193)(106,197)(107,196)(108,200)(109,199)(110,198)(111,202)
(112,201)(113,205)(114,204)(115,203)(116,207)(117,206)(118,210)(119,209)
(120,208)(241,362)(242,361)(243,365)(244,364)(245,363)(246,367)(247,366)
(248,370)(249,369)(250,368)(251,372)(252,371)(253,375)(254,374)(255,373)
(256,377)(257,376)(258,380)(259,379)(260,378)(261,382)(262,381)(263,385)
(264,384)(265,383)(266,387)(267,386)(268,390)(269,389)(270,388)(271,407)
(272,406)(273,410)(274,409)(275,408)(276,412)(277,411)(278,415)(279,414)
(280,413)(281,417)(282,416)(283,420)(284,419)(285,418)(286,392)(287,391)
(288,395)(289,394)(290,393)(291,397)(292,396)(293,400)(294,399)(295,398)
(296,402)(297,401)(298,405)(299,404)(300,403)(301,452)(302,451)(303,455)
(304,454)(305,453)(306,457)(307,456)(308,460)(309,459)(310,458)(311,462)
(312,461)(313,465)(314,464)(315,463)(316,467)(317,466)(318,470)(319,469)
(320,468)(321,472)(322,471)(323,475)(324,474)(325,473)(326,477)(327,476)
(328,480)(329,479)(330,478)(331,422)(332,421)(333,425)(334,424)(335,423)
(336,427)(337,426)(338,430)(339,429)(340,428)(341,432)(342,431)(343,435)
(344,434)(345,433)(346,437)(347,436)(348,440)(349,439)(350,438)(351,442)
(352,441)(353,445)(354,444)(355,443)(356,447)(357,446)(358,450)(359,449)
(360,448)(481,662)(482,661)(483,665)(484,664)(485,663)(486,667)(487,666)
(488,670)(489,669)(490,668)(491,672)(492,671)(493,675)(494,674)(495,673)
(496,677)(497,676)(498,680)(499,679)(500,678)(501,682)(502,681)(503,685)
(504,684)(505,683)(506,687)(507,686)(508,690)(509,689)(510,688)(511,707)
(512,706)(513,710)(514,709)(515,708)(516,712)(517,711)(518,715)(519,714)
(520,713)(521,717)(522,716)(523,720)(524,719)(525,718)(526,692)(527,691)
(528,695)(529,694)(530,693)(531,697)(532,696)(533,700)(534,699)(535,698)
(536,702)(537,701)(538,705)(539,704)(540,703)(541,602)(542,601)(543,605)
(544,604)(545,603)(546,607)(547,606)(548,610)(549,609)(550,608)(551,612)
(552,611)(553,615)(554,614)(555,613)(556,617)(557,616)(558,620)(559,619)
(560,618)(561,622)(562,621)(563,625)(564,624)(565,623)(566,627)(567,626)
(568,630)(569,629)(570,628)(571,647)(572,646)(573,650)(574,649)(575,648)
(576,652)(577,651)(578,655)(579,654)(580,653)(581,657)(582,656)(583,660)
(584,659)(585,658)(586,632)(587,631)(588,635)(589,634)(590,633)(591,637)
(592,636)(593,640)(594,639)(595,638)(596,642)(597,641)(598,645)(599,644)
(600,643)(721,902)(722,901)(723,905)(724,904)(725,903)(726,907)(727,906)
(728,910)(729,909)(730,908)(731,912)(732,911)(733,915)(734,914)(735,913)
(736,917)(737,916)(738,920)(739,919)(740,918)(741,922)(742,921)(743,925)
(744,924)(745,923)(746,927)(747,926)(748,930)(749,929)(750,928)(751,947)
(752,946)(753,950)(754,949)(755,948)(756,952)(757,951)(758,955)(759,954)
(760,953)(761,957)(762,956)(763,960)(764,959)(765,958)(766,932)(767,931)
(768,935)(769,934)(770,933)(771,937)(772,936)(773,940)(774,939)(775,938)
(776,942)(777,941)(778,945)(779,944)(780,943)(781,842)(782,841)(783,845)
(784,844)(785,843)(786,847)(787,846)(788,850)(789,849)(790,848)(791,852)
(792,851)(793,855)(794,854)(795,853)(796,857)(797,856)(798,860)(799,859)
(800,858)(801,862)(802,861)(803,865)(804,864)(805,863)(806,867)(807,866)
(808,870)(809,869)(810,868)(811,887)(812,886)(813,890)(814,889)(815,888)
(816,892)(817,891)(818,895)(819,894)(820,893)(821,897)(822,896)(823,900)
(824,899)(825,898)(826,872)(827,871)(828,875)(829,874)(830,873)(831,877)
(832,876)(833,880)(834,879)(835,878)(836,882)(837,881)(838,885)(839,884)
(840,883);
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)( 31,526)
( 32,527)( 33,528)( 34,529)( 35,530)( 36,531)( 37,532)( 38,533)( 39,534)
( 40,535)( 41,536)( 42,537)( 43,538)( 44,539)( 45,540)( 46,511)( 47,512)
( 48,513)( 49,514)( 50,515)( 51,516)( 52,517)( 53,518)( 54,519)( 55,520)
( 56,521)( 57,522)( 58,523)( 59,524)( 60,525)( 61,571)( 62,572)( 63,573)
( 64,574)( 65,575)( 66,576)( 67,577)( 68,578)( 69,579)( 70,580)( 71,581)
( 72,582)( 73,583)( 74,584)( 75,585)( 76,586)( 77,587)( 78,588)( 79,589)
( 80,590)( 81,591)( 82,592)( 83,593)( 84,594)( 85,595)( 86,596)( 87,597)
( 88,598)( 89,599)( 90,600)( 91,541)( 92,542)( 93,543)( 94,544)( 95,545)
( 96,546)( 97,547)( 98,548)( 99,549)(100,550)(101,551)(102,552)(103,553)
(104,554)(105,555)(106,556)(107,557)(108,558)(109,559)(110,560)(111,561)
(112,562)(113,563)(114,564)(115,565)(116,566)(117,567)(118,568)(119,569)
(120,570)(121,601)(122,602)(123,603)(124,604)(125,605)(126,606)(127,607)
(128,608)(129,609)(130,610)(131,611)(132,612)(133,613)(134,614)(135,615)
(136,616)(137,617)(138,618)(139,619)(140,620)(141,621)(142,622)(143,623)
(144,624)(145,625)(146,626)(147,627)(148,628)(149,629)(150,630)(151,646)
(152,647)(153,648)(154,649)(155,650)(156,651)(157,652)(158,653)(159,654)
(160,655)(161,656)(162,657)(163,658)(164,659)(165,660)(166,631)(167,632)
(168,633)(169,634)(170,635)(171,636)(172,637)(173,638)(174,639)(175,640)
(176,641)(177,642)(178,643)(179,644)(180,645)(181,691)(182,692)(183,693)
(184,694)(185,695)(186,696)(187,697)(188,698)(189,699)(190,700)(191,701)
(192,702)(193,703)(194,704)(195,705)(196,706)(197,707)(198,708)(199,709)
(200,710)(201,711)(202,712)(203,713)(204,714)(205,715)(206,716)(207,717)
(208,718)(209,719)(210,720)(211,661)(212,662)(213,663)(214,664)(215,665)
(216,666)(217,667)(218,668)(219,669)(220,670)(221,671)(222,672)(223,673)
(224,674)(225,675)(226,676)(227,677)(228,678)(229,679)(230,680)(231,681)
(232,682)(233,683)(234,684)(235,685)(236,686)(237,687)(238,688)(239,689)
(240,690)(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)(271,766)
(272,767)(273,768)(274,769)(275,770)(276,771)(277,772)(278,773)(279,774)
(280,775)(281,776)(282,777)(283,778)(284,779)(285,780)(286,751)(287,752)
(288,753)(289,754)(290,755)(291,756)(292,757)(293,758)(294,759)(295,760)
(296,761)(297,762)(298,763)(299,764)(300,765)(301,811)(302,812)(303,813)
(304,814)(305,815)(306,816)(307,817)(308,818)(309,819)(310,820)(311,821)
(312,822)(313,823)(314,824)(315,825)(316,826)(317,827)(318,828)(319,829)
(320,830)(321,831)(322,832)(323,833)(324,834)(325,835)(326,836)(327,837)
(328,838)(329,839)(330,840)(331,781)(332,782)(333,783)(334,784)(335,785)
(336,786)(337,787)(338,788)(339,789)(340,790)(341,791)(342,792)(343,793)
(344,794)(345,795)(346,796)(347,797)(348,798)(349,799)(350,800)(351,801)
(352,802)(353,803)(354,804)(355,805)(356,806)(357,807)(358,808)(359,809)
(360,810)(361,841)(362,842)(363,843)(364,844)(365,845)(366,846)(367,847)
(368,848)(369,849)(370,850)(371,851)(372,852)(373,853)(374,854)(375,855)
(376,856)(377,857)(378,858)(379,859)(380,860)(381,861)(382,862)(383,863)
(384,864)(385,865)(386,866)(387,867)(388,868)(389,869)(390,870)(391,886)
(392,887)(393,888)(394,889)(395,890)(396,891)(397,892)(398,893)(399,894)
(400,895)(401,896)(402,897)(403,898)(404,899)(405,900)(406,871)(407,872)
(408,873)(409,874)(410,875)(411,876)(412,877)(413,878)(414,879)(415,880)
(416,881)(417,882)(418,883)(419,884)(420,885)(421,931)(422,932)(423,933)
(424,934)(425,935)(426,936)(427,937)(428,938)(429,939)(430,940)(431,941)
(432,942)(433,943)(434,944)(435,945)(436,946)(437,947)(438,948)(439,949)
(440,950)(441,951)(442,952)(443,953)(444,954)(445,955)(446,956)(447,957)
(448,958)(449,959)(450,960)(451,901)(452,902)(453,903)(454,904)(455,905)
(456,906)(457,907)(458,908)(459,909)(460,910)(461,911)(462,912)(463,913)
(464,914)(465,915)(466,916)(467,917)(468,918)(469,919)(470,920)(471,921)
(472,922)(473,923)(474,924)(475,925)(476,926)(477,927)(478,928)(479,929)
(480,930);
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, 
s0*s1*s0*s1*s0*s1*s0*s1*s0*s1*s0*s1, 
s1*s2*s1*s2*s1*s2*s1*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*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 >; 
 
References : None.
to this polytope