Overview
- Group
- SmallGroup(1152,153957)
- Rank
- 3
- Schläfli Type
- {4,36}
- Vertices, edges, …
- 16, 288, 144
- Order of s0s1s2
- 36
- Order of s0s1s2s1
- 4
- Also known as
- if this polytope has a name.
Special Properties
- Compact Hyperbolic Quotient
- Locally Spherical
- Non-Orientable
Quotients maximal quotients in bold
2-fold
3-fold
4-fold
6-fold
8-fold
12-fold
16-fold
24-fold
48-fold
Covers minimal covers in bold
None in this atlas.
Irregular Quotients of which this is a minimal cover
Click an entry to reveal its facets and vertex figures.
P/N, where N=<(s0*s2*s1)^2*s0*(s1*s2)^2> of order 2
72 facets
- 72 of {4}*8
8 vertex figures
- 8 of {36}*72
P/N, where N=<s1*s2*s1*s0*(s2*s1)^3*s0*(s2*s1)^13*s2> of order 2
72 facets
- 72 of {4}*8
8 vertex figures
- 8 of {36}*72
P/N, where N=<(s0*s2*s1)^2*s0*(s1*s2)^2, s0*(s1*s2)^2*s1*s0*(s2*s1)^15*s2> of order 4
36 facets
- 36 of {4}*8
4 vertex figures
- 4 of {36}*72
P/N, where N=<(s0*s1)^2, (s0*s2*s1)^2*s0*(s1*s2)^2> of order 4
48 facets
4 vertex figures
- 4 of {36}*72
Representations
Permutation Representation (GAP)
s0 := ( 1, 9)( 2, 10)( 3, 11)( 4, 12)( 5, 13)( 6, 14)( 7, 15)( 8, 16)( 17, 25)( 18, 26)( 19, 27)( 20, 28)( 21, 29)( 22, 30)( 23, 31)( 24, 32)( 33, 41)( 34, 42)( 35, 43)( 36, 44)( 37, 45)( 38, 46)( 39, 47)( 40, 48)( 49, 57)( 50, 58)( 51, 59)( 52, 60)( 53, 61)( 54, 62)( 55, 63)( 56, 64)( 65, 73)( 66, 74)( 67, 75)( 68, 76)( 69, 77)( 70, 78)( 71, 79)( 72, 80)( 81, 89)( 82, 90)( 83, 91)( 84, 92)( 85, 93)( 86, 94)( 87, 95)( 88, 96)( 97,105)( 98,106)( 99,107)(100,108)(101,109)(102,110)(103,111)(104,112)(113,121)(114,122)(115,123)(116,124)(117,125)(118,126)(119,127)(120,128)(129,137)(130,138)(131,139)(132,140)(133,141)(134,142)(135,143)(136,144)(145,153)(146,154)(147,155)(148,156)(149,157)(150,158)(151,159)(152,160)(161,169)(162,170)(163,171)(164,172)(165,173)(166,174)(167,175)(168,176)(177,185)(178,186)(179,187)(180,188)(181,189)(182,190)(183,191)(184,192)(193,201)(194,202)(195,203)(196,204)(197,205)(198,206)(199,207)(200,208)(209,217)(210,218)(211,219)(212,220)(213,221)(214,222)(215,223)(216,224)(225,233)(226,234)(227,235)(228,236)(229,237)(230,238)(231,239)(232,240)(241,249)(242,250)(243,251)(244,252)(245,253)(246,254)(247,255)(248,256)(257,265)(258,266)(259,267)(260,268)(261,269)(262,270)(263,271)(264,272)(273,281)(274,282)(275,283)(276,284)(277,285)(278,286)(279,287)(280,288)(289,297)(290,298)(291,299)(292,300)(293,301)(294,302)(295,303)(296,304)(305,313)(306,314)(307,315)(308,316)(309,317)(310,318)(311,319)(312,320)(321,329)(322,330)(323,331)(324,332)(325,333)(326,334)(327,335)(328,336)(337,345)(338,346)(339,347)(340,348)(341,349)(342,350)(343,351)(344,352)(353,361)(354,362)(355,363)(356,364)(357,365)(358,366)(359,367)(360,368)(369,377)(370,378)(371,379)(372,380)(373,381)(374,382)(375,383)(376,384)(385,393)(386,394)(387,395)(388,396)(389,397)(390,398)(391,399)(392,400)(401,409)(402,410)(403,411)(404,412)(405,413)(406,414)(407,415)(408,416)(417,425)(418,426)(419,427)(420,428)(421,429)(422,430)(423,431)(424,432)(433,441)(434,442)(435,443)(436,444)(437,445)(438,446)(439,447)(440,448)(449,457)(450,458)(451,459)(452,460)(453,461)(454,462)(455,463)(456,464)(465,473)(466,474)(467,475)(468,476)(469,477)(470,478)(471,479)(472,480)(481,489)(482,490)(483,491)(484,492)(485,493)(486,494)(487,495)(488,496)(497,505)(498,506)(499,507)(500,508)(501,509)(502,510)(503,511)(504,512)(513,521)(514,522)(515,523)(516,524)(517,525)(518,526)(519,527)(520,528)(529,537)(530,538)(531,539)(532,540)(533,541)(534,542)(535,543)(536,544)(545,553)(546,554)(547,555)(548,556)(549,557)(550,558)(551,559)(552,560)(561,569)(562,570)(563,571)(564,572)(565,573)(566,574)(567,575)(568,576);; s1 := ( 1,289)( 2,290)( 3,292)( 4,291)( 5,294)( 6,293)( 7,295)( 8,296)( 9,304)( 10,303)( 11,301)( 12,302)( 13,299)( 14,300)( 15,298)( 16,297)( 17,321)( 18,322)( 19,324)( 20,323)( 21,326)( 22,325)( 23,327)( 24,328)( 25,336)( 26,335)( 27,333)( 28,334)( 29,331)( 30,332)( 31,330)( 32,329)( 33,305)( 34,306)( 35,308)( 36,307)( 37,310)( 38,309)( 39,311)( 40,312)( 41,320)( 42,319)( 43,317)( 44,318)( 45,315)( 46,316)( 47,314)( 48,313)( 49,417)( 50,418)( 51,420)( 52,419)( 53,422)( 54,421)( 55,423)( 56,424)( 57,432)( 58,431)( 59,429)( 60,430)( 61,427)( 62,428)( 63,426)( 64,425)( 65,401)( 66,402)( 67,404)( 68,403)( 69,406)( 70,405)( 71,407)( 72,408)( 73,416)( 74,415)( 75,413)( 76,414)( 77,411)( 78,412)( 79,410)( 80,409)( 81,385)( 82,386)( 83,388)( 84,387)( 85,390)( 86,389)( 87,391)( 88,392)( 89,400)( 90,399)( 91,397)( 92,398)( 93,395)( 94,396)( 95,394)( 96,393)( 97,369)( 98,370)( 99,372)(100,371)(101,374)(102,373)(103,375)(104,376)(105,384)(106,383)(107,381)(108,382)(109,379)(110,380)(111,378)(112,377)(113,353)(114,354)(115,356)(116,355)(117,358)(118,357)(119,359)(120,360)(121,368)(122,367)(123,365)(124,366)(125,363)(126,364)(127,362)(128,361)(129,337)(130,338)(131,340)(132,339)(133,342)(134,341)(135,343)(136,344)(137,352)(138,351)(139,349)(140,350)(141,347)(142,348)(143,346)(144,345)(145,433)(146,434)(147,436)(148,435)(149,438)(150,437)(151,439)(152,440)(153,448)(154,447)(155,445)(156,446)(157,443)(158,444)(159,442)(160,441)(161,465)(162,466)(163,468)(164,467)(165,470)(166,469)(167,471)(168,472)(169,480)(170,479)(171,477)(172,478)(173,475)(174,476)(175,474)(176,473)(177,449)(178,450)(179,452)(180,451)(181,454)(182,453)(183,455)(184,456)(185,464)(186,463)(187,461)(188,462)(189,459)(190,460)(191,458)(192,457)(193,561)(194,562)(195,564)(196,563)(197,566)(198,565)(199,567)(200,568)(201,576)(202,575)(203,573)(204,574)(205,571)(206,572)(207,570)(208,569)(209,545)(210,546)(211,548)(212,547)(213,550)(214,549)(215,551)(216,552)(217,560)(218,559)(219,557)(220,558)(221,555)(222,556)(223,554)(224,553)(225,529)(226,530)(227,532)(228,531)(229,534)(230,533)(231,535)(232,536)(233,544)(234,543)(235,541)(236,542)(237,539)(238,540)(239,538)(240,537)(241,513)(242,514)(243,516)(244,515)(245,518)(246,517)(247,519)(248,520)(249,528)(250,527)(251,525)(252,526)(253,523)(254,524)(255,522)(256,521)(257,497)(258,498)(259,500)(260,499)(261,502)(262,501)(263,503)(264,504)(265,512)(266,511)(267,509)(268,510)(269,507)(270,508)(271,506)(272,505)(273,481)(274,482)(275,484)(276,483)(277,486)(278,485)(279,487)(280,488)(281,496)(282,495)(283,493)(284,494)(285,491)(286,492)(287,490)(288,489);; s2 := ( 1, 49)( 2, 52)( 3, 51)( 4, 50)( 5, 61)( 6, 64)( 7, 63)( 8, 62)( 9, 57)( 10, 60)( 11, 59)( 12, 58)( 13, 53)( 14, 56)( 15, 55)( 16, 54)( 17, 81)( 18, 84)( 19, 83)( 20, 82)( 21, 93)( 22, 96)( 23, 95)( 24, 94)( 25, 89)( 26, 92)( 27, 91)( 28, 90)( 29, 85)( 30, 88)( 31, 87)( 32, 86)( 33, 65)( 34, 68)( 35, 67)( 36, 66)( 37, 77)( 38, 80)( 39, 79)( 40, 78)( 41, 73)( 42, 76)( 43, 75)( 44, 74)( 45, 69)( 46, 72)( 47, 71)( 48, 70)( 97,129)( 98,132)( 99,131)(100,130)(101,141)(102,144)(103,143)(104,142)(105,137)(106,140)(107,139)(108,138)(109,133)(110,136)(111,135)(112,134)(114,116)(117,125)(118,128)(119,127)(120,126)(122,124)(145,193)(146,196)(147,195)(148,194)(149,205)(150,208)(151,207)(152,206)(153,201)(154,204)(155,203)(156,202)(157,197)(158,200)(159,199)(160,198)(161,225)(162,228)(163,227)(164,226)(165,237)(166,240)(167,239)(168,238)(169,233)(170,236)(171,235)(172,234)(173,229)(174,232)(175,231)(176,230)(177,209)(178,212)(179,211)(180,210)(181,221)(182,224)(183,223)(184,222)(185,217)(186,220)(187,219)(188,218)(189,213)(190,216)(191,215)(192,214)(241,273)(242,276)(243,275)(244,274)(245,285)(246,288)(247,287)(248,286)(249,281)(250,284)(251,283)(252,282)(253,277)(254,280)(255,279)(256,278)(258,260)(261,269)(262,272)(263,271)(264,270)(266,268)(289,481)(290,484)(291,483)(292,482)(293,493)(294,496)(295,495)(296,494)(297,489)(298,492)(299,491)(300,490)(301,485)(302,488)(303,487)(304,486)(305,513)(306,516)(307,515)(308,514)(309,525)(310,528)(311,527)(312,526)(313,521)(314,524)(315,523)(316,522)(317,517)(318,520)(319,519)(320,518)(321,497)(322,500)(323,499)(324,498)(325,509)(326,512)(327,511)(328,510)(329,505)(330,508)(331,507)(332,506)(333,501)(334,504)(335,503)(336,502)(337,433)(338,436)(339,435)(340,434)(341,445)(342,448)(343,447)(344,446)(345,441)(346,444)(347,443)(348,442)(349,437)(350,440)(351,439)(352,438)(353,465)(354,468)(355,467)(356,466)(357,477)(358,480)(359,479)(360,478)(361,473)(362,476)(363,475)(364,474)(365,469)(366,472)(367,471)(368,470)(369,449)(370,452)(371,451)(372,450)(373,461)(374,464)(375,463)(376,462)(377,457)(378,460)(379,459)(380,458)(381,453)(382,456)(383,455)(384,454)(385,561)(386,564)(387,563)(388,562)(389,573)(390,576)(391,575)(392,574)(393,569)(394,572)(395,571)(396,570)(397,565)(398,568)(399,567)(400,566)(401,545)(402,548)(403,547)(404,546)(405,557)(406,560)(407,559)(408,558)(409,553)(410,556)(411,555)(412,554)(413,549)(414,552)(415,551)(416,550)(417,529)(418,532)(419,531)(420,530)(421,541)(422,544)(423,543)(424,542)(425,537)(426,540)(427,539)(428,538)(429,533)(430,536)(431,535)(432,534);; 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*s0*s1*s0*s1*s0*s1,
s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1,
s2*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s0*s1*s2*s1*s0*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*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*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 ];;
poly := F / rels;;
Permutation Representation (Magma)
s0 := Sym(576)!( 1, 9)( 2, 10)( 3, 11)( 4, 12)( 5, 13)( 6, 14)( 7, 15)( 8, 16)( 17, 25)( 18, 26)( 19, 27)( 20, 28)( 21, 29)( 22, 30)( 23, 31)( 24, 32)( 33, 41)( 34, 42)( 35, 43)( 36, 44)( 37, 45)( 38, 46)( 39, 47)( 40, 48)( 49, 57)( 50, 58)( 51, 59)( 52, 60)( 53, 61)( 54, 62)( 55, 63)( 56, 64)( 65, 73)( 66, 74)( 67, 75)( 68, 76)( 69, 77)( 70, 78)( 71, 79)( 72, 80)( 81, 89)( 82, 90)( 83, 91)( 84, 92)( 85, 93)( 86, 94)( 87, 95)( 88, 96)( 97,105)( 98,106)( 99,107)(100,108)(101,109)(102,110)(103,111)(104,112)(113,121)(114,122)(115,123)(116,124)(117,125)(118,126)(119,127)(120,128)(129,137)(130,138)(131,139)(132,140)(133,141)(134,142)(135,143)(136,144)(145,153)(146,154)(147,155)(148,156)(149,157)(150,158)(151,159)(152,160)(161,169)(162,170)(163,171)(164,172)(165,173)(166,174)(167,175)(168,176)(177,185)(178,186)(179,187)(180,188)(181,189)(182,190)(183,191)(184,192)(193,201)(194,202)(195,203)(196,204)(197,205)(198,206)(199,207)(200,208)(209,217)(210,218)(211,219)(212,220)(213,221)(214,222)(215,223)(216,224)(225,233)(226,234)(227,235)(228,236)(229,237)(230,238)(231,239)(232,240)(241,249)(242,250)(243,251)(244,252)(245,253)(246,254)(247,255)(248,256)(257,265)(258,266)(259,267)(260,268)(261,269)(262,270)(263,271)(264,272)(273,281)(274,282)(275,283)(276,284)(277,285)(278,286)(279,287)(280,288)(289,297)(290,298)(291,299)(292,300)(293,301)(294,302)(295,303)(296,304)(305,313)(306,314)(307,315)(308,316)(309,317)(310,318)(311,319)(312,320)(321,329)(322,330)(323,331)(324,332)(325,333)(326,334)(327,335)(328,336)(337,345)(338,346)(339,347)(340,348)(341,349)(342,350)(343,351)(344,352)(353,361)(354,362)(355,363)(356,364)(357,365)(358,366)(359,367)(360,368)(369,377)(370,378)(371,379)(372,380)(373,381)(374,382)(375,383)(376,384)(385,393)(386,394)(387,395)(388,396)(389,397)(390,398)(391,399)(392,400)(401,409)(402,410)(403,411)(404,412)(405,413)(406,414)(407,415)(408,416)(417,425)(418,426)(419,427)(420,428)(421,429)(422,430)(423,431)(424,432)(433,441)(434,442)(435,443)(436,444)(437,445)(438,446)(439,447)(440,448)(449,457)(450,458)(451,459)(452,460)(453,461)(454,462)(455,463)(456,464)(465,473)(466,474)(467,475)(468,476)(469,477)(470,478)(471,479)(472,480)(481,489)(482,490)(483,491)(484,492)(485,493)(486,494)(487,495)(488,496)(497,505)(498,506)(499,507)(500,508)(501,509)(502,510)(503,511)(504,512)(513,521)(514,522)(515,523)(516,524)(517,525)(518,526)(519,527)(520,528)(529,537)(530,538)(531,539)(532,540)(533,541)(534,542)(535,543)(536,544)(545,553)(546,554)(547,555)(548,556)(549,557)(550,558)(551,559)(552,560)(561,569)(562,570)(563,571)(564,572)(565,573)(566,574)(567,575)(568,576); s1 := Sym(576)!( 1,289)( 2,290)( 3,292)( 4,291)( 5,294)( 6,293)( 7,295)( 8,296)( 9,304)( 10,303)( 11,301)( 12,302)( 13,299)( 14,300)( 15,298)( 16,297)( 17,321)( 18,322)( 19,324)( 20,323)( 21,326)( 22,325)( 23,327)( 24,328)( 25,336)( 26,335)( 27,333)( 28,334)( 29,331)( 30,332)( 31,330)( 32,329)( 33,305)( 34,306)( 35,308)( 36,307)( 37,310)( 38,309)( 39,311)( 40,312)( 41,320)( 42,319)( 43,317)( 44,318)( 45,315)( 46,316)( 47,314)( 48,313)( 49,417)( 50,418)( 51,420)( 52,419)( 53,422)( 54,421)( 55,423)( 56,424)( 57,432)( 58,431)( 59,429)( 60,430)( 61,427)( 62,428)( 63,426)( 64,425)( 65,401)( 66,402)( 67,404)( 68,403)( 69,406)( 70,405)( 71,407)( 72,408)( 73,416)( 74,415)( 75,413)( 76,414)( 77,411)( 78,412)( 79,410)( 80,409)( 81,385)( 82,386)( 83,388)( 84,387)( 85,390)( 86,389)( 87,391)( 88,392)( 89,400)( 90,399)( 91,397)( 92,398)( 93,395)( 94,396)( 95,394)( 96,393)( 97,369)( 98,370)( 99,372)(100,371)(101,374)(102,373)(103,375)(104,376)(105,384)(106,383)(107,381)(108,382)(109,379)(110,380)(111,378)(112,377)(113,353)(114,354)(115,356)(116,355)(117,358)(118,357)(119,359)(120,360)(121,368)(122,367)(123,365)(124,366)(125,363)(126,364)(127,362)(128,361)(129,337)(130,338)(131,340)(132,339)(133,342)(134,341)(135,343)(136,344)(137,352)(138,351)(139,349)(140,350)(141,347)(142,348)(143,346)(144,345)(145,433)(146,434)(147,436)(148,435)(149,438)(150,437)(151,439)(152,440)(153,448)(154,447)(155,445)(156,446)(157,443)(158,444)(159,442)(160,441)(161,465)(162,466)(163,468)(164,467)(165,470)(166,469)(167,471)(168,472)(169,480)(170,479)(171,477)(172,478)(173,475)(174,476)(175,474)(176,473)(177,449)(178,450)(179,452)(180,451)(181,454)(182,453)(183,455)(184,456)(185,464)(186,463)(187,461)(188,462)(189,459)(190,460)(191,458)(192,457)(193,561)(194,562)(195,564)(196,563)(197,566)(198,565)(199,567)(200,568)(201,576)(202,575)(203,573)(204,574)(205,571)(206,572)(207,570)(208,569)(209,545)(210,546)(211,548)(212,547)(213,550)(214,549)(215,551)(216,552)(217,560)(218,559)(219,557)(220,558)(221,555)(222,556)(223,554)(224,553)(225,529)(226,530)(227,532)(228,531)(229,534)(230,533)(231,535)(232,536)(233,544)(234,543)(235,541)(236,542)(237,539)(238,540)(239,538)(240,537)(241,513)(242,514)(243,516)(244,515)(245,518)(246,517)(247,519)(248,520)(249,528)(250,527)(251,525)(252,526)(253,523)(254,524)(255,522)(256,521)(257,497)(258,498)(259,500)(260,499)(261,502)(262,501)(263,503)(264,504)(265,512)(266,511)(267,509)(268,510)(269,507)(270,508)(271,506)(272,505)(273,481)(274,482)(275,484)(276,483)(277,486)(278,485)(279,487)(280,488)(281,496)(282,495)(283,493)(284,494)(285,491)(286,492)(287,490)(288,489); s2 := Sym(576)!( 1, 49)( 2, 52)( 3, 51)( 4, 50)( 5, 61)( 6, 64)( 7, 63)( 8, 62)( 9, 57)( 10, 60)( 11, 59)( 12, 58)( 13, 53)( 14, 56)( 15, 55)( 16, 54)( 17, 81)( 18, 84)( 19, 83)( 20, 82)( 21, 93)( 22, 96)( 23, 95)( 24, 94)( 25, 89)( 26, 92)( 27, 91)( 28, 90)( 29, 85)( 30, 88)( 31, 87)( 32, 86)( 33, 65)( 34, 68)( 35, 67)( 36, 66)( 37, 77)( 38, 80)( 39, 79)( 40, 78)( 41, 73)( 42, 76)( 43, 75)( 44, 74)( 45, 69)( 46, 72)( 47, 71)( 48, 70)( 97,129)( 98,132)( 99,131)(100,130)(101,141)(102,144)(103,143)(104,142)(105,137)(106,140)(107,139)(108,138)(109,133)(110,136)(111,135)(112,134)(114,116)(117,125)(118,128)(119,127)(120,126)(122,124)(145,193)(146,196)(147,195)(148,194)(149,205)(150,208)(151,207)(152,206)(153,201)(154,204)(155,203)(156,202)(157,197)(158,200)(159,199)(160,198)(161,225)(162,228)(163,227)(164,226)(165,237)(166,240)(167,239)(168,238)(169,233)(170,236)(171,235)(172,234)(173,229)(174,232)(175,231)(176,230)(177,209)(178,212)(179,211)(180,210)(181,221)(182,224)(183,223)(184,222)(185,217)(186,220)(187,219)(188,218)(189,213)(190,216)(191,215)(192,214)(241,273)(242,276)(243,275)(244,274)(245,285)(246,288)(247,287)(248,286)(249,281)(250,284)(251,283)(252,282)(253,277)(254,280)(255,279)(256,278)(258,260)(261,269)(262,272)(263,271)(264,270)(266,268)(289,481)(290,484)(291,483)(292,482)(293,493)(294,496)(295,495)(296,494)(297,489)(298,492)(299,491)(300,490)(301,485)(302,488)(303,487)(304,486)(305,513)(306,516)(307,515)(308,514)(309,525)(310,528)(311,527)(312,526)(313,521)(314,524)(315,523)(316,522)(317,517)(318,520)(319,519)(320,518)(321,497)(322,500)(323,499)(324,498)(325,509)(326,512)(327,511)(328,510)(329,505)(330,508)(331,507)(332,506)(333,501)(334,504)(335,503)(336,502)(337,433)(338,436)(339,435)(340,434)(341,445)(342,448)(343,447)(344,446)(345,441)(346,444)(347,443)(348,442)(349,437)(350,440)(351,439)(352,438)(353,465)(354,468)(355,467)(356,466)(357,477)(358,480)(359,479)(360,478)(361,473)(362,476)(363,475)(364,474)(365,469)(366,472)(367,471)(368,470)(369,449)(370,452)(371,451)(372,450)(373,461)(374,464)(375,463)(376,462)(377,457)(378,460)(379,459)(380,458)(381,453)(382,456)(383,455)(384,454)(385,561)(386,564)(387,563)(388,562)(389,573)(390,576)(391,575)(392,574)(393,569)(394,572)(395,571)(396,570)(397,565)(398,568)(399,567)(400,566)(401,545)(402,548)(403,547)(404,546)(405,557)(406,560)(407,559)(408,558)(409,553)(410,556)(411,555)(412,554)(413,549)(414,552)(415,551)(416,550)(417,529)(418,532)(419,531)(420,530)(421,541)(422,544)(423,543)(424,542)(425,537)(426,540)(427,539)(428,538)(429,533)(430,536)(431,535)(432,534); poly := sub<Sym(576)|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*s0*s1*s0*s1*s0*s1, s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1*s0*s1*s2*s1, s2*s1*s2*s1*s2*s1*s0*s1*s2*s1*s2*s0*s1*s2*s1*s0*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*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*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2*s1*s2 >;
References
None.
to this polytope.