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