Overview
- Group
- SmallGroup(1472,684)
- Rank
- 3
- Schläfli Type
- {92,8}
- Vertices, edges, …
- 92, 368, 8
- Order of s0s1s2
- 184
- Order of s0s1s2s1
- 2
- Also known as
- {92,8|2}. if this polytope has another name.
Special Properties
- Compact Hyperbolic Quotient
- Locally Spherical
- Orientable
- Flat
Quotients maximal quotients in bold
2-fold
4-fold
8-fold
16-fold
23-fold
46-fold
92-fold
184-fold
Covers minimal covers in bold
None in this atlas.
Irregular Quotients of which this is a minimal cover
None.
Representations
Permutation Representation (GAP)
s0 := ( 1,185)( 2,207)( 3,206)( 4,205)( 5,204)( 6,203)( 7,202)( 8,201)( 9,200)( 10,199)( 11,198)( 12,197)( 13,196)( 14,195)( 15,194)( 16,193)( 17,192)( 18,191)( 19,190)( 20,189)( 21,188)( 22,187)( 23,186)( 24,208)( 25,230)( 26,229)( 27,228)( 28,227)( 29,226)( 30,225)( 31,224)( 32,223)( 33,222)( 34,221)( 35,220)( 36,219)( 37,218)( 38,217)( 39,216)( 40,215)( 41,214)( 42,213)( 43,212)( 44,211)( 45,210)( 46,209)( 47,231)( 48,253)( 49,252)( 50,251)( 51,250)( 52,249)( 53,248)( 54,247)( 55,246)( 56,245)( 57,244)( 58,243)( 59,242)( 60,241)( 61,240)( 62,239)( 63,238)( 64,237)( 65,236)( 66,235)( 67,234)( 68,233)( 69,232)( 70,254)( 71,276)( 72,275)( 73,274)( 74,273)( 75,272)( 76,271)( 77,270)( 78,269)( 79,268)( 80,267)( 81,266)( 82,265)( 83,264)( 84,263)( 85,262)( 86,261)( 87,260)( 88,259)( 89,258)( 90,257)( 91,256)( 92,255)( 93,277)( 94,299)( 95,298)( 96,297)( 97,296)( 98,295)( 99,294)(100,293)(101,292)(102,291)(103,290)(104,289)(105,288)(106,287)(107,286)(108,285)(109,284)(110,283)(111,282)(112,281)(113,280)(114,279)(115,278)(116,300)(117,322)(118,321)(119,320)(120,319)(121,318)(122,317)(123,316)(124,315)(125,314)(126,313)(127,312)(128,311)(129,310)(130,309)(131,308)(132,307)(133,306)(134,305)(135,304)(136,303)(137,302)(138,301)(139,323)(140,345)(141,344)(142,343)(143,342)(144,341)(145,340)(146,339)(147,338)(148,337)(149,336)(150,335)(151,334)(152,333)(153,332)(154,331)(155,330)(156,329)(157,328)(158,327)(159,326)(160,325)(161,324)(162,346)(163,368)(164,367)(165,366)(166,365)(167,364)(168,363)(169,362)(170,361)(171,360)(172,359)(173,358)(174,357)(175,356)(176,355)(177,354)(178,353)(179,352)(180,351)(181,350)(182,349)(183,348)(184,347)(369,553)(370,575)(371,574)(372,573)(373,572)(374,571)(375,570)(376,569)(377,568)(378,567)(379,566)(380,565)(381,564)(382,563)(383,562)(384,561)(385,560)(386,559)(387,558)(388,557)(389,556)(390,555)(391,554)(392,576)(393,598)(394,597)(395,596)(396,595)(397,594)(398,593)(399,592)(400,591)(401,590)(402,589)(403,588)(404,587)(405,586)(406,585)(407,584)(408,583)(409,582)(410,581)(411,580)(412,579)(413,578)(414,577)(415,599)(416,621)(417,620)(418,619)(419,618)(420,617)(421,616)(422,615)(423,614)(424,613)(425,612)(426,611)(427,610)(428,609)(429,608)(430,607)(431,606)(432,605)(433,604)(434,603)(435,602)(436,601)(437,600)(438,622)(439,644)(440,643)(441,642)(442,641)(443,640)(444,639)(445,638)(446,637)(447,636)(448,635)(449,634)(450,633)(451,632)(452,631)(453,630)(454,629)(455,628)(456,627)(457,626)(458,625)(459,624)(460,623)(461,645)(462,667)(463,666)(464,665)(465,664)(466,663)(467,662)(468,661)(469,660)(470,659)(471,658)(472,657)(473,656)(474,655)(475,654)(476,653)(477,652)(478,651)(479,650)(480,649)(481,648)(482,647)(483,646)(484,668)(485,690)(486,689)(487,688)(488,687)(489,686)(490,685)(491,684)(492,683)(493,682)(494,681)(495,680)(496,679)(497,678)(498,677)(499,676)(500,675)(501,674)(502,673)(503,672)(504,671)(505,670)(506,669)(507,691)(508,713)(509,712)(510,711)(511,710)(512,709)(513,708)(514,707)(515,706)(516,705)(517,704)(518,703)(519,702)(520,701)(521,700)(522,699)(523,698)(524,697)(525,696)(526,695)(527,694)(528,693)(529,692)(530,714)(531,736)(532,735)(533,734)(534,733)(535,732)(536,731)(537,730)(538,729)(539,728)(540,727)(541,726)(542,725)(543,724)(544,723)(545,722)(546,721)(547,720)(548,719)(549,718)(550,717)(551,716)(552,715);; s1 := ( 1, 2)( 3, 23)( 4, 22)( 5, 21)( 6, 20)( 7, 19)( 8, 18)( 9, 17)( 10, 16)( 11, 15)( 12, 14)( 24, 25)( 26, 46)( 27, 45)( 28, 44)( 29, 43)( 30, 42)( 31, 41)( 32, 40)( 33, 39)( 34, 38)( 35, 37)( 47, 48)( 49, 69)( 50, 68)( 51, 67)( 52, 66)( 53, 65)( 54, 64)( 55, 63)( 56, 62)( 57, 61)( 58, 60)( 70, 71)( 72, 92)( 73, 91)( 74, 90)( 75, 89)( 76, 88)( 77, 87)( 78, 86)( 79, 85)( 80, 84)( 81, 83)( 93,117)( 94,116)( 95,138)( 96,137)( 97,136)( 98,135)( 99,134)(100,133)(101,132)(102,131)(103,130)(104,129)(105,128)(106,127)(107,126)(108,125)(109,124)(110,123)(111,122)(112,121)(113,120)(114,119)(115,118)(139,163)(140,162)(141,184)(142,183)(143,182)(144,181)(145,180)(146,179)(147,178)(148,177)(149,176)(150,175)(151,174)(152,173)(153,172)(154,171)(155,170)(156,169)(157,168)(158,167)(159,166)(160,165)(161,164)(185,232)(186,231)(187,253)(188,252)(189,251)(190,250)(191,249)(192,248)(193,247)(194,246)(195,245)(196,244)(197,243)(198,242)(199,241)(200,240)(201,239)(202,238)(203,237)(204,236)(205,235)(206,234)(207,233)(208,255)(209,254)(210,276)(211,275)(212,274)(213,273)(214,272)(215,271)(216,270)(217,269)(218,268)(219,267)(220,266)(221,265)(222,264)(223,263)(224,262)(225,261)(226,260)(227,259)(228,258)(229,257)(230,256)(277,347)(278,346)(279,368)(280,367)(281,366)(282,365)(283,364)(284,363)(285,362)(286,361)(287,360)(288,359)(289,358)(290,357)(291,356)(292,355)(293,354)(294,353)(295,352)(296,351)(297,350)(298,349)(299,348)(300,324)(301,323)(302,345)(303,344)(304,343)(305,342)(306,341)(307,340)(308,339)(309,338)(310,337)(311,336)(312,335)(313,334)(314,333)(315,332)(316,331)(317,330)(318,329)(319,328)(320,327)(321,326)(322,325)(369,462)(370,461)(371,483)(372,482)(373,481)(374,480)(375,479)(376,478)(377,477)(378,476)(379,475)(380,474)(381,473)(382,472)(383,471)(384,470)(385,469)(386,468)(387,467)(388,466)(389,465)(390,464)(391,463)(392,485)(393,484)(394,506)(395,505)(396,504)(397,503)(398,502)(399,501)(400,500)(401,499)(402,498)(403,497)(404,496)(405,495)(406,494)(407,493)(408,492)(409,491)(410,490)(411,489)(412,488)(413,487)(414,486)(415,508)(416,507)(417,529)(418,528)(419,527)(420,526)(421,525)(422,524)(423,523)(424,522)(425,521)(426,520)(427,519)(428,518)(429,517)(430,516)(431,515)(432,514)(433,513)(434,512)(435,511)(436,510)(437,509)(438,531)(439,530)(440,552)(441,551)(442,550)(443,549)(444,548)(445,547)(446,546)(447,545)(448,544)(449,543)(450,542)(451,541)(452,540)(453,539)(454,538)(455,537)(456,536)(457,535)(458,534)(459,533)(460,532)(553,692)(554,691)(555,713)(556,712)(557,711)(558,710)(559,709)(560,708)(561,707)(562,706)(563,705)(564,704)(565,703)(566,702)(567,701)(568,700)(569,699)(570,698)(571,697)(572,696)(573,695)(574,694)(575,693)(576,715)(577,714)(578,736)(579,735)(580,734)(581,733)(582,732)(583,731)(584,730)(585,729)(586,728)(587,727)(588,726)(589,725)(590,724)(591,723)(592,722)(593,721)(594,720)(595,719)(596,718)(597,717)(598,716)(599,646)(600,645)(601,667)(602,666)(603,665)(604,664)(605,663)(606,662)(607,661)(608,660)(609,659)(610,658)(611,657)(612,656)(613,655)(614,654)(615,653)(616,652)(617,651)(618,650)(619,649)(620,648)(621,647)(622,669)(623,668)(624,690)(625,689)(626,688)(627,687)(628,686)(629,685)(630,684)(631,683)(632,682)(633,681)(634,680)(635,679)(636,678)(637,677)(638,676)(639,675)(640,674)(641,673)(642,672)(643,671)(644,670);; s2 := ( 1,369)( 2,370)( 3,371)( 4,372)( 5,373)( 6,374)( 7,375)( 8,376)( 9,377)( 10,378)( 11,379)( 12,380)( 13,381)( 14,382)( 15,383)( 16,384)( 17,385)( 18,386)( 19,387)( 20,388)( 21,389)( 22,390)( 23,391)( 24,392)( 25,393)( 26,394)( 27,395)( 28,396)( 29,397)( 30,398)( 31,399)( 32,400)( 33,401)( 34,402)( 35,403)( 36,404)( 37,405)( 38,406)( 39,407)( 40,408)( 41,409)( 42,410)( 43,411)( 44,412)( 45,413)( 46,414)( 47,415)( 48,416)( 49,417)( 50,418)( 51,419)( 52,420)( 53,421)( 54,422)( 55,423)( 56,424)( 57,425)( 58,426)( 59,427)( 60,428)( 61,429)( 62,430)( 63,431)( 64,432)( 65,433)( 66,434)( 67,435)( 68,436)( 69,437)( 70,438)( 71,439)( 72,440)( 73,441)( 74,442)( 75,443)( 76,444)( 77,445)( 78,446)( 79,447)( 80,448)( 81,449)( 82,450)( 83,451)( 84,452)( 85,453)( 86,454)( 87,455)( 88,456)( 89,457)( 90,458)( 91,459)( 92,460)( 93,484)( 94,485)( 95,486)( 96,487)( 97,488)( 98,489)( 99,490)(100,491)(101,492)(102,493)(103,494)(104,495)(105,496)(106,497)(107,498)(108,499)(109,500)(110,501)(111,502)(112,503)(113,504)(114,505)(115,506)(116,461)(117,462)(118,463)(119,464)(120,465)(121,466)(122,467)(123,468)(124,469)(125,470)(126,471)(127,472)(128,473)(129,474)(130,475)(131,476)(132,477)(133,478)(134,479)(135,480)(136,481)(137,482)(138,483)(139,530)(140,531)(141,532)(142,533)(143,534)(144,535)(145,536)(146,537)(147,538)(148,539)(149,540)(150,541)(151,542)(152,543)(153,544)(154,545)(155,546)(156,547)(157,548)(158,549)(159,550)(160,551)(161,552)(162,507)(163,508)(164,509)(165,510)(166,511)(167,512)(168,513)(169,514)(170,515)(171,516)(172,517)(173,518)(174,519)(175,520)(176,521)(177,522)(178,523)(179,524)(180,525)(181,526)(182,527)(183,528)(184,529)(185,553)(186,554)(187,555)(188,556)(189,557)(190,558)(191,559)(192,560)(193,561)(194,562)(195,563)(196,564)(197,565)(198,566)(199,567)(200,568)(201,569)(202,570)(203,571)(204,572)(205,573)(206,574)(207,575)(208,576)(209,577)(210,578)(211,579)(212,580)(213,581)(214,582)(215,583)(216,584)(217,585)(218,586)(219,587)(220,588)(221,589)(222,590)(223,591)(224,592)(225,593)(226,594)(227,595)(228,596)(229,597)(230,598)(231,599)(232,600)(233,601)(234,602)(235,603)(236,604)(237,605)(238,606)(239,607)(240,608)(241,609)(242,610)(243,611)(244,612)(245,613)(246,614)(247,615)(248,616)(249,617)(250,618)(251,619)(252,620)(253,621)(254,622)(255,623)(256,624)(257,625)(258,626)(259,627)(260,628)(261,629)(262,630)(263,631)(264,632)(265,633)(266,634)(267,635)(268,636)(269,637)(270,638)(271,639)(272,640)(273,641)(274,642)(275,643)(276,644)(277,668)(278,669)(279,670)(280,671)(281,672)(282,673)(283,674)(284,675)(285,676)(286,677)(287,678)(288,679)(289,680)(290,681)(291,682)(292,683)(293,684)(294,685)(295,686)(296,687)(297,688)(298,689)(299,690)(300,645)(301,646)(302,647)(303,648)(304,649)(305,650)(306,651)(307,652)(308,653)(309,654)(310,655)(311,656)(312,657)(313,658)(314,659)(315,660)(316,661)(317,662)(318,663)(319,664)(320,665)(321,666)(322,667)(323,714)(324,715)(325,716)(326,717)(327,718)(328,719)(329,720)(330,721)(331,722)(332,723)(333,724)(334,725)(335,726)(336,727)(337,728)(338,729)(339,730)(340,731)(341,732)(342,733)(343,734)(344,735)(345,736)(346,691)(347,692)(348,693)(349,694)(350,695)(351,696)(352,697)(353,698)(354,699)(355,700)(356,701)(357,702)(358,703)(359,704)(360,705)(361,706)(362,707)(363,708)(364,709)(365,710)(366,711)(367,712)(368,713);; poly := Group([s0,s1,s2]);;
Finitely Presented Group Representation (GAP)
F := FreeGroup("s0","s1","s2");;
s0 := F.1;; s1 := F.2;; s2 := F.3;;
rels := [ s0*s0, s1*s1, s2*s2, s0*s2*s0*s2, s0*s1*s2*s1*s0*s1*s2*s1,
s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2,
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*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*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*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*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(736)!( 1,185)( 2,207)( 3,206)( 4,205)( 5,204)( 6,203)( 7,202)( 8,201)( 9,200)( 10,199)( 11,198)( 12,197)( 13,196)( 14,195)( 15,194)( 16,193)( 17,192)( 18,191)( 19,190)( 20,189)( 21,188)( 22,187)( 23,186)( 24,208)( 25,230)( 26,229)( 27,228)( 28,227)( 29,226)( 30,225)( 31,224)( 32,223)( 33,222)( 34,221)( 35,220)( 36,219)( 37,218)( 38,217)( 39,216)( 40,215)( 41,214)( 42,213)( 43,212)( 44,211)( 45,210)( 46,209)( 47,231)( 48,253)( 49,252)( 50,251)( 51,250)( 52,249)( 53,248)( 54,247)( 55,246)( 56,245)( 57,244)( 58,243)( 59,242)( 60,241)( 61,240)( 62,239)( 63,238)( 64,237)( 65,236)( 66,235)( 67,234)( 68,233)( 69,232)( 70,254)( 71,276)( 72,275)( 73,274)( 74,273)( 75,272)( 76,271)( 77,270)( 78,269)( 79,268)( 80,267)( 81,266)( 82,265)( 83,264)( 84,263)( 85,262)( 86,261)( 87,260)( 88,259)( 89,258)( 90,257)( 91,256)( 92,255)( 93,277)( 94,299)( 95,298)( 96,297)( 97,296)( 98,295)( 99,294)(100,293)(101,292)(102,291)(103,290)(104,289)(105,288)(106,287)(107,286)(108,285)(109,284)(110,283)(111,282)(112,281)(113,280)(114,279)(115,278)(116,300)(117,322)(118,321)(119,320)(120,319)(121,318)(122,317)(123,316)(124,315)(125,314)(126,313)(127,312)(128,311)(129,310)(130,309)(131,308)(132,307)(133,306)(134,305)(135,304)(136,303)(137,302)(138,301)(139,323)(140,345)(141,344)(142,343)(143,342)(144,341)(145,340)(146,339)(147,338)(148,337)(149,336)(150,335)(151,334)(152,333)(153,332)(154,331)(155,330)(156,329)(157,328)(158,327)(159,326)(160,325)(161,324)(162,346)(163,368)(164,367)(165,366)(166,365)(167,364)(168,363)(169,362)(170,361)(171,360)(172,359)(173,358)(174,357)(175,356)(176,355)(177,354)(178,353)(179,352)(180,351)(181,350)(182,349)(183,348)(184,347)(369,553)(370,575)(371,574)(372,573)(373,572)(374,571)(375,570)(376,569)(377,568)(378,567)(379,566)(380,565)(381,564)(382,563)(383,562)(384,561)(385,560)(386,559)(387,558)(388,557)(389,556)(390,555)(391,554)(392,576)(393,598)(394,597)(395,596)(396,595)(397,594)(398,593)(399,592)(400,591)(401,590)(402,589)(403,588)(404,587)(405,586)(406,585)(407,584)(408,583)(409,582)(410,581)(411,580)(412,579)(413,578)(414,577)(415,599)(416,621)(417,620)(418,619)(419,618)(420,617)(421,616)(422,615)(423,614)(424,613)(425,612)(426,611)(427,610)(428,609)(429,608)(430,607)(431,606)(432,605)(433,604)(434,603)(435,602)(436,601)(437,600)(438,622)(439,644)(440,643)(441,642)(442,641)(443,640)(444,639)(445,638)(446,637)(447,636)(448,635)(449,634)(450,633)(451,632)(452,631)(453,630)(454,629)(455,628)(456,627)(457,626)(458,625)(459,624)(460,623)(461,645)(462,667)(463,666)(464,665)(465,664)(466,663)(467,662)(468,661)(469,660)(470,659)(471,658)(472,657)(473,656)(474,655)(475,654)(476,653)(477,652)(478,651)(479,650)(480,649)(481,648)(482,647)(483,646)(484,668)(485,690)(486,689)(487,688)(488,687)(489,686)(490,685)(491,684)(492,683)(493,682)(494,681)(495,680)(496,679)(497,678)(498,677)(499,676)(500,675)(501,674)(502,673)(503,672)(504,671)(505,670)(506,669)(507,691)(508,713)(509,712)(510,711)(511,710)(512,709)(513,708)(514,707)(515,706)(516,705)(517,704)(518,703)(519,702)(520,701)(521,700)(522,699)(523,698)(524,697)(525,696)(526,695)(527,694)(528,693)(529,692)(530,714)(531,736)(532,735)(533,734)(534,733)(535,732)(536,731)(537,730)(538,729)(539,728)(540,727)(541,726)(542,725)(543,724)(544,723)(545,722)(546,721)(547,720)(548,719)(549,718)(550,717)(551,716)(552,715); s1 := Sym(736)!( 1, 2)( 3, 23)( 4, 22)( 5, 21)( 6, 20)( 7, 19)( 8, 18)( 9, 17)( 10, 16)( 11, 15)( 12, 14)( 24, 25)( 26, 46)( 27, 45)( 28, 44)( 29, 43)( 30, 42)( 31, 41)( 32, 40)( 33, 39)( 34, 38)( 35, 37)( 47, 48)( 49, 69)( 50, 68)( 51, 67)( 52, 66)( 53, 65)( 54, 64)( 55, 63)( 56, 62)( 57, 61)( 58, 60)( 70, 71)( 72, 92)( 73, 91)( 74, 90)( 75, 89)( 76, 88)( 77, 87)( 78, 86)( 79, 85)( 80, 84)( 81, 83)( 93,117)( 94,116)( 95,138)( 96,137)( 97,136)( 98,135)( 99,134)(100,133)(101,132)(102,131)(103,130)(104,129)(105,128)(106,127)(107,126)(108,125)(109,124)(110,123)(111,122)(112,121)(113,120)(114,119)(115,118)(139,163)(140,162)(141,184)(142,183)(143,182)(144,181)(145,180)(146,179)(147,178)(148,177)(149,176)(150,175)(151,174)(152,173)(153,172)(154,171)(155,170)(156,169)(157,168)(158,167)(159,166)(160,165)(161,164)(185,232)(186,231)(187,253)(188,252)(189,251)(190,250)(191,249)(192,248)(193,247)(194,246)(195,245)(196,244)(197,243)(198,242)(199,241)(200,240)(201,239)(202,238)(203,237)(204,236)(205,235)(206,234)(207,233)(208,255)(209,254)(210,276)(211,275)(212,274)(213,273)(214,272)(215,271)(216,270)(217,269)(218,268)(219,267)(220,266)(221,265)(222,264)(223,263)(224,262)(225,261)(226,260)(227,259)(228,258)(229,257)(230,256)(277,347)(278,346)(279,368)(280,367)(281,366)(282,365)(283,364)(284,363)(285,362)(286,361)(287,360)(288,359)(289,358)(290,357)(291,356)(292,355)(293,354)(294,353)(295,352)(296,351)(297,350)(298,349)(299,348)(300,324)(301,323)(302,345)(303,344)(304,343)(305,342)(306,341)(307,340)(308,339)(309,338)(310,337)(311,336)(312,335)(313,334)(314,333)(315,332)(316,331)(317,330)(318,329)(319,328)(320,327)(321,326)(322,325)(369,462)(370,461)(371,483)(372,482)(373,481)(374,480)(375,479)(376,478)(377,477)(378,476)(379,475)(380,474)(381,473)(382,472)(383,471)(384,470)(385,469)(386,468)(387,467)(388,466)(389,465)(390,464)(391,463)(392,485)(393,484)(394,506)(395,505)(396,504)(397,503)(398,502)(399,501)(400,500)(401,499)(402,498)(403,497)(404,496)(405,495)(406,494)(407,493)(408,492)(409,491)(410,490)(411,489)(412,488)(413,487)(414,486)(415,508)(416,507)(417,529)(418,528)(419,527)(420,526)(421,525)(422,524)(423,523)(424,522)(425,521)(426,520)(427,519)(428,518)(429,517)(430,516)(431,515)(432,514)(433,513)(434,512)(435,511)(436,510)(437,509)(438,531)(439,530)(440,552)(441,551)(442,550)(443,549)(444,548)(445,547)(446,546)(447,545)(448,544)(449,543)(450,542)(451,541)(452,540)(453,539)(454,538)(455,537)(456,536)(457,535)(458,534)(459,533)(460,532)(553,692)(554,691)(555,713)(556,712)(557,711)(558,710)(559,709)(560,708)(561,707)(562,706)(563,705)(564,704)(565,703)(566,702)(567,701)(568,700)(569,699)(570,698)(571,697)(572,696)(573,695)(574,694)(575,693)(576,715)(577,714)(578,736)(579,735)(580,734)(581,733)(582,732)(583,731)(584,730)(585,729)(586,728)(587,727)(588,726)(589,725)(590,724)(591,723)(592,722)(593,721)(594,720)(595,719)(596,718)(597,717)(598,716)(599,646)(600,645)(601,667)(602,666)(603,665)(604,664)(605,663)(606,662)(607,661)(608,660)(609,659)(610,658)(611,657)(612,656)(613,655)(614,654)(615,653)(616,652)(617,651)(618,650)(619,649)(620,648)(621,647)(622,669)(623,668)(624,690)(625,689)(626,688)(627,687)(628,686)(629,685)(630,684)(631,683)(632,682)(633,681)(634,680)(635,679)(636,678)(637,677)(638,676)(639,675)(640,674)(641,673)(642,672)(643,671)(644,670); s2 := Sym(736)!( 1,369)( 2,370)( 3,371)( 4,372)( 5,373)( 6,374)( 7,375)( 8,376)( 9,377)( 10,378)( 11,379)( 12,380)( 13,381)( 14,382)( 15,383)( 16,384)( 17,385)( 18,386)( 19,387)( 20,388)( 21,389)( 22,390)( 23,391)( 24,392)( 25,393)( 26,394)( 27,395)( 28,396)( 29,397)( 30,398)( 31,399)( 32,400)( 33,401)( 34,402)( 35,403)( 36,404)( 37,405)( 38,406)( 39,407)( 40,408)( 41,409)( 42,410)( 43,411)( 44,412)( 45,413)( 46,414)( 47,415)( 48,416)( 49,417)( 50,418)( 51,419)( 52,420)( 53,421)( 54,422)( 55,423)( 56,424)( 57,425)( 58,426)( 59,427)( 60,428)( 61,429)( 62,430)( 63,431)( 64,432)( 65,433)( 66,434)( 67,435)( 68,436)( 69,437)( 70,438)( 71,439)( 72,440)( 73,441)( 74,442)( 75,443)( 76,444)( 77,445)( 78,446)( 79,447)( 80,448)( 81,449)( 82,450)( 83,451)( 84,452)( 85,453)( 86,454)( 87,455)( 88,456)( 89,457)( 90,458)( 91,459)( 92,460)( 93,484)( 94,485)( 95,486)( 96,487)( 97,488)( 98,489)( 99,490)(100,491)(101,492)(102,493)(103,494)(104,495)(105,496)(106,497)(107,498)(108,499)(109,500)(110,501)(111,502)(112,503)(113,504)(114,505)(115,506)(116,461)(117,462)(118,463)(119,464)(120,465)(121,466)(122,467)(123,468)(124,469)(125,470)(126,471)(127,472)(128,473)(129,474)(130,475)(131,476)(132,477)(133,478)(134,479)(135,480)(136,481)(137,482)(138,483)(139,530)(140,531)(141,532)(142,533)(143,534)(144,535)(145,536)(146,537)(147,538)(148,539)(149,540)(150,541)(151,542)(152,543)(153,544)(154,545)(155,546)(156,547)(157,548)(158,549)(159,550)(160,551)(161,552)(162,507)(163,508)(164,509)(165,510)(166,511)(167,512)(168,513)(169,514)(170,515)(171,516)(172,517)(173,518)(174,519)(175,520)(176,521)(177,522)(178,523)(179,524)(180,525)(181,526)(182,527)(183,528)(184,529)(185,553)(186,554)(187,555)(188,556)(189,557)(190,558)(191,559)(192,560)(193,561)(194,562)(195,563)(196,564)(197,565)(198,566)(199,567)(200,568)(201,569)(202,570)(203,571)(204,572)(205,573)(206,574)(207,575)(208,576)(209,577)(210,578)(211,579)(212,580)(213,581)(214,582)(215,583)(216,584)(217,585)(218,586)(219,587)(220,588)(221,589)(222,590)(223,591)(224,592)(225,593)(226,594)(227,595)(228,596)(229,597)(230,598)(231,599)(232,600)(233,601)(234,602)(235,603)(236,604)(237,605)(238,606)(239,607)(240,608)(241,609)(242,610)(243,611)(244,612)(245,613)(246,614)(247,615)(248,616)(249,617)(250,618)(251,619)(252,620)(253,621)(254,622)(255,623)(256,624)(257,625)(258,626)(259,627)(260,628)(261,629)(262,630)(263,631)(264,632)(265,633)(266,634)(267,635)(268,636)(269,637)(270,638)(271,639)(272,640)(273,641)(274,642)(275,643)(276,644)(277,668)(278,669)(279,670)(280,671)(281,672)(282,673)(283,674)(284,675)(285,676)(286,677)(287,678)(288,679)(289,680)(290,681)(291,682)(292,683)(293,684)(294,685)(295,686)(296,687)(297,688)(298,689)(299,690)(300,645)(301,646)(302,647)(303,648)(304,649)(305,650)(306,651)(307,652)(308,653)(309,654)(310,655)(311,656)(312,657)(313,658)(314,659)(315,660)(316,661)(317,662)(318,663)(319,664)(320,665)(321,666)(322,667)(323,714)(324,715)(325,716)(326,717)(327,718)(328,719)(329,720)(330,721)(331,722)(332,723)(333,724)(334,725)(335,726)(336,727)(337,728)(338,729)(339,730)(340,731)(341,732)(342,733)(343,734)(344,735)(345,736)(346,691)(347,692)(348,693)(349,694)(350,695)(351,696)(352,697)(353,698)(354,699)(355,700)(356,701)(357,702)(358,703)(359,704)(360,705)(361,706)(362,707)(363,708)(364,709)(365,710)(366,711)(367,712)(368,713); poly := sub<Sym(736)|s0,s1,s2>;
Finitely Presented Group Representation (Magma)
poly<s0,s1,s2> := Group< s0,s1,s2 | s0*s0, s1*s1, s2*s2, s0*s2*s0*s2, s0*s1*s2*s1*s0*s1*s2*s1, s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2, 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*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*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*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*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.