Polytope of Type {4,60,4}

This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {4,60,4}*1920h
if this polytope has a name.
Group : SmallGroup(1920,240320)
Rank : 4
Schlafli Type : {4,60,4}
Number of vertices, edges, etc : 4, 120, 120, 4
Order of s0s1s2s3 : 60
Order of s0s1s2s3s2s1 : 2
Special Properties :
   Universal
   Non-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 : {4,30,4}*960d
   4-fold quotients : {4,15,4}*480
   5-fold quotients : {4,12,4}*384h
   10-fold quotients : {4,6,4}*192d
   20-fold quotients : {4,3,4}*96
Covers (Minimal Covers in Boldface) :
   None in this atlas.
Irregular Quotients (of which this is a minimal cover):
   None.

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