Polytope of Type {9,8}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {9,8}*1152
if this polytope has a name.
Group : SmallGroup(1152,153963)
Rank : 3
Schlafli Type : {9,8}
Number of vertices, edges, etc : 72, 288, 64
Order of s0s1s2 : 36
Order of s0s1s2s1 : 8
Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable
Related Polytopes :
Facet
Vertex Figure
Dual
Petrial
Facet Of :
None in this Atlas
Vertex Figure Of :
None in this Atlas
Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {9,8}*576
3-fold quotients : {3,8}*384
4-fold quotients : {9,8}*288
6-fold quotients : {3,8}*192
8-fold quotients : {9,4}*144
12-fold quotients : {3,8}*96
16-fold quotients : {9,4}*72
24-fold quotients : {3,4}*48
32-fold quotients : {9,2}*36
48-fold quotients : {3,4}*24
96-fold quotients : {3,2}*12
Covers (Minimal Covers in Boldface) :
None in this atlas.
Permutation Representation (GAP) :
s0 := ( 3, 4)( 5, 6)( 9, 16)( 10, 15)( 11, 13)( 12, 14)( 17, 26)( 18, 25)
( 19, 27)( 20, 28)( 21, 29)( 22, 30)( 23, 32)( 24, 31)( 33, 65)( 34, 66)
( 35, 68)( 36, 67)( 37, 70)( 38, 69)( 39, 71)( 40, 72)( 41, 80)( 42, 79)
( 43, 77)( 44, 78)( 45, 75)( 46, 76)( 47, 74)( 48, 73)( 49, 90)( 50, 89)
( 51, 91)( 52, 92)( 53, 93)( 54, 94)( 55, 96)( 56, 95)( 57, 82)( 58, 81)
( 59, 83)( 60, 84)( 61, 85)( 62, 86)( 63, 88)( 64, 87)( 97,257)( 98,258)
( 99,260)(100,259)(101,262)(102,261)(103,263)(104,264)(105,272)(106,271)
(107,269)(108,270)(109,267)(110,268)(111,266)(112,265)(113,282)(114,281)
(115,283)(116,284)(117,285)(118,286)(119,288)(120,287)(121,274)(122,273)
(123,275)(124,276)(125,277)(126,278)(127,280)(128,279)(129,225)(130,226)
(131,228)(132,227)(133,230)(134,229)(135,231)(136,232)(137,240)(138,239)
(139,237)(140,238)(141,235)(142,236)(143,234)(144,233)(145,250)(146,249)
(147,251)(148,252)(149,253)(150,254)(151,256)(152,255)(153,242)(154,241)
(155,243)(156,244)(157,245)(158,246)(159,248)(160,247)(161,193)(162,194)
(163,196)(164,195)(165,198)(166,197)(167,199)(168,200)(169,208)(170,207)
(171,205)(172,206)(173,203)(174,204)(175,202)(176,201)(177,218)(178,217)
(179,219)(180,220)(181,221)(182,222)(183,224)(184,223)(185,210)(186,209)
(187,211)(188,212)(189,213)(190,214)(191,216)(192,215)(289,295)(290,296)
(291,294)(292,293)(297,298)(303,304)(305,320)(306,319)(307,317)(308,318)
(309,315)(310,316)(311,314)(312,313)(321,359)(322,360)(323,358)(324,357)
(325,356)(326,355)(327,353)(328,354)(329,362)(330,361)(331,363)(332,364)
(333,365)(334,366)(335,368)(336,367)(337,384)(338,383)(339,381)(340,382)
(341,379)(342,380)(343,378)(344,377)(345,376)(346,375)(347,373)(348,374)
(349,371)(350,372)(351,370)(352,369)(385,551)(386,552)(387,550)(388,549)
(389,548)(390,547)(391,545)(392,546)(393,554)(394,553)(395,555)(396,556)
(397,557)(398,558)(399,560)(400,559)(401,576)(402,575)(403,573)(404,574)
(405,571)(406,572)(407,570)(408,569)(409,568)(410,567)(411,565)(412,566)
(413,563)(414,564)(415,562)(416,561)(417,519)(418,520)(419,518)(420,517)
(421,516)(422,515)(423,513)(424,514)(425,522)(426,521)(427,523)(428,524)
(429,525)(430,526)(431,528)(432,527)(433,544)(434,543)(435,541)(436,542)
(437,539)(438,540)(439,538)(440,537)(441,536)(442,535)(443,533)(444,534)
(445,531)(446,532)(447,530)(448,529)(449,487)(450,488)(451,486)(452,485)
(453,484)(454,483)(455,481)(456,482)(457,490)(458,489)(459,491)(460,492)
(461,493)(462,494)(463,496)(464,495)(465,512)(466,511)(467,509)(468,510)
(469,507)(470,508)(471,506)(472,505)(473,504)(474,503)(475,501)(476,502)
(477,499)(478,500)(479,498)(480,497);;
s1 := ( 1, 97)( 2,100)( 3, 99)( 4, 98)( 5,101)( 6,104)( 7,103)( 8,102)
( 9,124)( 10,121)( 11,122)( 12,123)( 13,128)( 14,125)( 15,126)( 16,127)
( 17,119)( 18,118)( 19,117)( 20,120)( 21,115)( 22,114)( 23,113)( 24,116)
( 25,106)( 26,107)( 27,108)( 28,105)( 29,110)( 30,111)( 31,112)( 32,109)
( 33,161)( 34,164)( 35,163)( 36,162)( 37,165)( 38,168)( 39,167)( 40,166)
( 41,188)( 42,185)( 43,186)( 44,187)( 45,192)( 46,189)( 47,190)( 48,191)
( 49,183)( 50,182)( 51,181)( 52,184)( 53,179)( 54,178)( 55,177)( 56,180)
( 57,170)( 58,171)( 59,172)( 60,169)( 61,174)( 62,175)( 63,176)( 64,173)
( 65,129)( 66,132)( 67,131)( 68,130)( 69,133)( 70,136)( 71,135)( 72,134)
( 73,156)( 74,153)( 75,154)( 76,155)( 77,160)( 78,157)( 79,158)( 80,159)
( 81,151)( 82,150)( 83,149)( 84,152)( 85,147)( 86,146)( 87,145)( 88,148)
( 89,138)( 90,139)( 91,140)( 92,137)( 93,142)( 94,143)( 95,144)( 96,141)
(193,257)(194,260)(195,259)(196,258)(197,261)(198,264)(199,263)(200,262)
(201,284)(202,281)(203,282)(204,283)(205,288)(206,285)(207,286)(208,287)
(209,279)(210,278)(211,277)(212,280)(213,275)(214,274)(215,273)(216,276)
(217,266)(218,267)(219,268)(220,265)(221,270)(222,271)(223,272)(224,269)
(226,228)(230,232)(233,252)(234,249)(235,250)(236,251)(237,256)(238,253)
(239,254)(240,255)(241,247)(242,246)(243,245)(244,248)(289,391)(290,390)
(291,389)(292,392)(293,387)(294,386)(295,385)(296,388)(297,414)(298,415)
(299,416)(300,413)(301,410)(302,411)(303,412)(304,409)(305,401)(306,404)
(307,403)(308,402)(309,405)(310,408)(311,407)(312,406)(313,400)(314,397)
(315,398)(316,399)(317,396)(318,393)(319,394)(320,395)(321,455)(322,454)
(323,453)(324,456)(325,451)(326,450)(327,449)(328,452)(329,478)(330,479)
(331,480)(332,477)(333,474)(334,475)(335,476)(336,473)(337,465)(338,468)
(339,467)(340,466)(341,469)(342,472)(343,471)(344,470)(345,464)(346,461)
(347,462)(348,463)(349,460)(350,457)(351,458)(352,459)(353,423)(354,422)
(355,421)(356,424)(357,419)(358,418)(359,417)(360,420)(361,446)(362,447)
(363,448)(364,445)(365,442)(366,443)(367,444)(368,441)(369,433)(370,436)
(371,435)(372,434)(373,437)(374,440)(375,439)(376,438)(377,432)(378,429)
(379,430)(380,431)(381,428)(382,425)(383,426)(384,427)(481,551)(482,550)
(483,549)(484,552)(485,547)(486,546)(487,545)(488,548)(489,574)(490,575)
(491,576)(492,573)(493,570)(494,571)(495,572)(496,569)(497,561)(498,564)
(499,563)(500,562)(501,565)(502,568)(503,567)(504,566)(505,560)(506,557)
(507,558)(508,559)(509,556)(510,553)(511,554)(512,555)(513,519)(514,518)
(515,517)(516,520)(521,542)(522,543)(523,544)(524,541)(525,538)(526,539)
(527,540)(528,537)(530,532)(534,536);;
s2 := ( 1,301)( 2,302)( 3,303)( 4,304)( 5,297)( 6,298)( 7,299)( 8,300)
( 9,291)( 10,292)( 11,289)( 12,290)( 13,295)( 14,296)( 15,293)( 16,294)
( 17,319)( 18,320)( 19,317)( 20,318)( 21,315)( 22,316)( 23,313)( 24,314)
( 25,305)( 26,306)( 27,307)( 28,308)( 29,309)( 30,310)( 31,311)( 32,312)
( 33,333)( 34,334)( 35,335)( 36,336)( 37,329)( 38,330)( 39,331)( 40,332)
( 41,323)( 42,324)( 43,321)( 44,322)( 45,327)( 46,328)( 47,325)( 48,326)
( 49,351)( 50,352)( 51,349)( 52,350)( 53,347)( 54,348)( 55,345)( 56,346)
( 57,337)( 58,338)( 59,339)( 60,340)( 61,341)( 62,342)( 63,343)( 64,344)
( 65,365)( 66,366)( 67,367)( 68,368)( 69,361)( 70,362)( 71,363)( 72,364)
( 73,355)( 74,356)( 75,353)( 76,354)( 77,359)( 78,360)( 79,357)( 80,358)
( 81,383)( 82,384)( 83,381)( 84,382)( 85,379)( 86,380)( 87,377)( 88,378)
( 89,369)( 90,370)( 91,371)( 92,372)( 93,373)( 94,374)( 95,375)( 96,376)
( 97,397)( 98,398)( 99,399)(100,400)(101,393)(102,394)(103,395)(104,396)
(105,387)(106,388)(107,385)(108,386)(109,391)(110,392)(111,389)(112,390)
(113,415)(114,416)(115,413)(116,414)(117,411)(118,412)(119,409)(120,410)
(121,401)(122,402)(123,403)(124,404)(125,405)(126,406)(127,407)(128,408)
(129,429)(130,430)(131,431)(132,432)(133,425)(134,426)(135,427)(136,428)
(137,419)(138,420)(139,417)(140,418)(141,423)(142,424)(143,421)(144,422)
(145,447)(146,448)(147,445)(148,446)(149,443)(150,444)(151,441)(152,442)
(153,433)(154,434)(155,435)(156,436)(157,437)(158,438)(159,439)(160,440)
(161,461)(162,462)(163,463)(164,464)(165,457)(166,458)(167,459)(168,460)
(169,451)(170,452)(171,449)(172,450)(173,455)(174,456)(175,453)(176,454)
(177,479)(178,480)(179,477)(180,478)(181,475)(182,476)(183,473)(184,474)
(185,465)(186,466)(187,467)(188,468)(189,469)(190,470)(191,471)(192,472)
(193,493)(194,494)(195,495)(196,496)(197,489)(198,490)(199,491)(200,492)
(201,483)(202,484)(203,481)(204,482)(205,487)(206,488)(207,485)(208,486)
(209,511)(210,512)(211,509)(212,510)(213,507)(214,508)(215,505)(216,506)
(217,497)(218,498)(219,499)(220,500)(221,501)(222,502)(223,503)(224,504)
(225,525)(226,526)(227,527)(228,528)(229,521)(230,522)(231,523)(232,524)
(233,515)(234,516)(235,513)(236,514)(237,519)(238,520)(239,517)(240,518)
(241,543)(242,544)(243,541)(244,542)(245,539)(246,540)(247,537)(248,538)
(249,529)(250,530)(251,531)(252,532)(253,533)(254,534)(255,535)(256,536)
(257,557)(258,558)(259,559)(260,560)(261,553)(262,554)(263,555)(264,556)
(265,547)(266,548)(267,545)(268,546)(269,551)(270,552)(271,549)(272,550)
(273,575)(274,576)(275,573)(276,574)(277,571)(278,572)(279,569)(280,570)
(281,561)(282,562)(283,563)(284,564)(285,565)(286,566)(287,567)(288,568);;
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*s0*s1*s2*s1*s0*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,
s2*s0*s1*s2*s1*s2*s1*s2*s0*s1*s2*s1*s2*s0*s1*s2*s1*s2*s1*s2*s0*s1*s2*s1 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(576)!( 3, 4)( 5, 6)( 9, 16)( 10, 15)( 11, 13)( 12, 14)( 17, 26)
( 18, 25)( 19, 27)( 20, 28)( 21, 29)( 22, 30)( 23, 32)( 24, 31)( 33, 65)
( 34, 66)( 35, 68)( 36, 67)( 37, 70)( 38, 69)( 39, 71)( 40, 72)( 41, 80)
( 42, 79)( 43, 77)( 44, 78)( 45, 75)( 46, 76)( 47, 74)( 48, 73)( 49, 90)
( 50, 89)( 51, 91)( 52, 92)( 53, 93)( 54, 94)( 55, 96)( 56, 95)( 57, 82)
( 58, 81)( 59, 83)( 60, 84)( 61, 85)( 62, 86)( 63, 88)( 64, 87)( 97,257)
( 98,258)( 99,260)(100,259)(101,262)(102,261)(103,263)(104,264)(105,272)
(106,271)(107,269)(108,270)(109,267)(110,268)(111,266)(112,265)(113,282)
(114,281)(115,283)(116,284)(117,285)(118,286)(119,288)(120,287)(121,274)
(122,273)(123,275)(124,276)(125,277)(126,278)(127,280)(128,279)(129,225)
(130,226)(131,228)(132,227)(133,230)(134,229)(135,231)(136,232)(137,240)
(138,239)(139,237)(140,238)(141,235)(142,236)(143,234)(144,233)(145,250)
(146,249)(147,251)(148,252)(149,253)(150,254)(151,256)(152,255)(153,242)
(154,241)(155,243)(156,244)(157,245)(158,246)(159,248)(160,247)(161,193)
(162,194)(163,196)(164,195)(165,198)(166,197)(167,199)(168,200)(169,208)
(170,207)(171,205)(172,206)(173,203)(174,204)(175,202)(176,201)(177,218)
(178,217)(179,219)(180,220)(181,221)(182,222)(183,224)(184,223)(185,210)
(186,209)(187,211)(188,212)(189,213)(190,214)(191,216)(192,215)(289,295)
(290,296)(291,294)(292,293)(297,298)(303,304)(305,320)(306,319)(307,317)
(308,318)(309,315)(310,316)(311,314)(312,313)(321,359)(322,360)(323,358)
(324,357)(325,356)(326,355)(327,353)(328,354)(329,362)(330,361)(331,363)
(332,364)(333,365)(334,366)(335,368)(336,367)(337,384)(338,383)(339,381)
(340,382)(341,379)(342,380)(343,378)(344,377)(345,376)(346,375)(347,373)
(348,374)(349,371)(350,372)(351,370)(352,369)(385,551)(386,552)(387,550)
(388,549)(389,548)(390,547)(391,545)(392,546)(393,554)(394,553)(395,555)
(396,556)(397,557)(398,558)(399,560)(400,559)(401,576)(402,575)(403,573)
(404,574)(405,571)(406,572)(407,570)(408,569)(409,568)(410,567)(411,565)
(412,566)(413,563)(414,564)(415,562)(416,561)(417,519)(418,520)(419,518)
(420,517)(421,516)(422,515)(423,513)(424,514)(425,522)(426,521)(427,523)
(428,524)(429,525)(430,526)(431,528)(432,527)(433,544)(434,543)(435,541)
(436,542)(437,539)(438,540)(439,538)(440,537)(441,536)(442,535)(443,533)
(444,534)(445,531)(446,532)(447,530)(448,529)(449,487)(450,488)(451,486)
(452,485)(453,484)(454,483)(455,481)(456,482)(457,490)(458,489)(459,491)
(460,492)(461,493)(462,494)(463,496)(464,495)(465,512)(466,511)(467,509)
(468,510)(469,507)(470,508)(471,506)(472,505)(473,504)(474,503)(475,501)
(476,502)(477,499)(478,500)(479,498)(480,497);
s1 := Sym(576)!( 1, 97)( 2,100)( 3, 99)( 4, 98)( 5,101)( 6,104)( 7,103)
( 8,102)( 9,124)( 10,121)( 11,122)( 12,123)( 13,128)( 14,125)( 15,126)
( 16,127)( 17,119)( 18,118)( 19,117)( 20,120)( 21,115)( 22,114)( 23,113)
( 24,116)( 25,106)( 26,107)( 27,108)( 28,105)( 29,110)( 30,111)( 31,112)
( 32,109)( 33,161)( 34,164)( 35,163)( 36,162)( 37,165)( 38,168)( 39,167)
( 40,166)( 41,188)( 42,185)( 43,186)( 44,187)( 45,192)( 46,189)( 47,190)
( 48,191)( 49,183)( 50,182)( 51,181)( 52,184)( 53,179)( 54,178)( 55,177)
( 56,180)( 57,170)( 58,171)( 59,172)( 60,169)( 61,174)( 62,175)( 63,176)
( 64,173)( 65,129)( 66,132)( 67,131)( 68,130)( 69,133)( 70,136)( 71,135)
( 72,134)( 73,156)( 74,153)( 75,154)( 76,155)( 77,160)( 78,157)( 79,158)
( 80,159)( 81,151)( 82,150)( 83,149)( 84,152)( 85,147)( 86,146)( 87,145)
( 88,148)( 89,138)( 90,139)( 91,140)( 92,137)( 93,142)( 94,143)( 95,144)
( 96,141)(193,257)(194,260)(195,259)(196,258)(197,261)(198,264)(199,263)
(200,262)(201,284)(202,281)(203,282)(204,283)(205,288)(206,285)(207,286)
(208,287)(209,279)(210,278)(211,277)(212,280)(213,275)(214,274)(215,273)
(216,276)(217,266)(218,267)(219,268)(220,265)(221,270)(222,271)(223,272)
(224,269)(226,228)(230,232)(233,252)(234,249)(235,250)(236,251)(237,256)
(238,253)(239,254)(240,255)(241,247)(242,246)(243,245)(244,248)(289,391)
(290,390)(291,389)(292,392)(293,387)(294,386)(295,385)(296,388)(297,414)
(298,415)(299,416)(300,413)(301,410)(302,411)(303,412)(304,409)(305,401)
(306,404)(307,403)(308,402)(309,405)(310,408)(311,407)(312,406)(313,400)
(314,397)(315,398)(316,399)(317,396)(318,393)(319,394)(320,395)(321,455)
(322,454)(323,453)(324,456)(325,451)(326,450)(327,449)(328,452)(329,478)
(330,479)(331,480)(332,477)(333,474)(334,475)(335,476)(336,473)(337,465)
(338,468)(339,467)(340,466)(341,469)(342,472)(343,471)(344,470)(345,464)
(346,461)(347,462)(348,463)(349,460)(350,457)(351,458)(352,459)(353,423)
(354,422)(355,421)(356,424)(357,419)(358,418)(359,417)(360,420)(361,446)
(362,447)(363,448)(364,445)(365,442)(366,443)(367,444)(368,441)(369,433)
(370,436)(371,435)(372,434)(373,437)(374,440)(375,439)(376,438)(377,432)
(378,429)(379,430)(380,431)(381,428)(382,425)(383,426)(384,427)(481,551)
(482,550)(483,549)(484,552)(485,547)(486,546)(487,545)(488,548)(489,574)
(490,575)(491,576)(492,573)(493,570)(494,571)(495,572)(496,569)(497,561)
(498,564)(499,563)(500,562)(501,565)(502,568)(503,567)(504,566)(505,560)
(506,557)(507,558)(508,559)(509,556)(510,553)(511,554)(512,555)(513,519)
(514,518)(515,517)(516,520)(521,542)(522,543)(523,544)(524,541)(525,538)
(526,539)(527,540)(528,537)(530,532)(534,536);
s2 := Sym(576)!( 1,301)( 2,302)( 3,303)( 4,304)( 5,297)( 6,298)( 7,299)
( 8,300)( 9,291)( 10,292)( 11,289)( 12,290)( 13,295)( 14,296)( 15,293)
( 16,294)( 17,319)( 18,320)( 19,317)( 20,318)( 21,315)( 22,316)( 23,313)
( 24,314)( 25,305)( 26,306)( 27,307)( 28,308)( 29,309)( 30,310)( 31,311)
( 32,312)( 33,333)( 34,334)( 35,335)( 36,336)( 37,329)( 38,330)( 39,331)
( 40,332)( 41,323)( 42,324)( 43,321)( 44,322)( 45,327)( 46,328)( 47,325)
( 48,326)( 49,351)( 50,352)( 51,349)( 52,350)( 53,347)( 54,348)( 55,345)
( 56,346)( 57,337)( 58,338)( 59,339)( 60,340)( 61,341)( 62,342)( 63,343)
( 64,344)( 65,365)( 66,366)( 67,367)( 68,368)( 69,361)( 70,362)( 71,363)
( 72,364)( 73,355)( 74,356)( 75,353)( 76,354)( 77,359)( 78,360)( 79,357)
( 80,358)( 81,383)( 82,384)( 83,381)( 84,382)( 85,379)( 86,380)( 87,377)
( 88,378)( 89,369)( 90,370)( 91,371)( 92,372)( 93,373)( 94,374)( 95,375)
( 96,376)( 97,397)( 98,398)( 99,399)(100,400)(101,393)(102,394)(103,395)
(104,396)(105,387)(106,388)(107,385)(108,386)(109,391)(110,392)(111,389)
(112,390)(113,415)(114,416)(115,413)(116,414)(117,411)(118,412)(119,409)
(120,410)(121,401)(122,402)(123,403)(124,404)(125,405)(126,406)(127,407)
(128,408)(129,429)(130,430)(131,431)(132,432)(133,425)(134,426)(135,427)
(136,428)(137,419)(138,420)(139,417)(140,418)(141,423)(142,424)(143,421)
(144,422)(145,447)(146,448)(147,445)(148,446)(149,443)(150,444)(151,441)
(152,442)(153,433)(154,434)(155,435)(156,436)(157,437)(158,438)(159,439)
(160,440)(161,461)(162,462)(163,463)(164,464)(165,457)(166,458)(167,459)
(168,460)(169,451)(170,452)(171,449)(172,450)(173,455)(174,456)(175,453)
(176,454)(177,479)(178,480)(179,477)(180,478)(181,475)(182,476)(183,473)
(184,474)(185,465)(186,466)(187,467)(188,468)(189,469)(190,470)(191,471)
(192,472)(193,493)(194,494)(195,495)(196,496)(197,489)(198,490)(199,491)
(200,492)(201,483)(202,484)(203,481)(204,482)(205,487)(206,488)(207,485)
(208,486)(209,511)(210,512)(211,509)(212,510)(213,507)(214,508)(215,505)
(216,506)(217,497)(218,498)(219,499)(220,500)(221,501)(222,502)(223,503)
(224,504)(225,525)(226,526)(227,527)(228,528)(229,521)(230,522)(231,523)
(232,524)(233,515)(234,516)(235,513)(236,514)(237,519)(238,520)(239,517)
(240,518)(241,543)(242,544)(243,541)(244,542)(245,539)(246,540)(247,537)
(248,538)(249,529)(250,530)(251,531)(252,532)(253,533)(254,534)(255,535)
(256,536)(257,557)(258,558)(259,559)(260,560)(261,553)(262,554)(263,555)
(264,556)(265,547)(266,548)(267,545)(268,546)(269,551)(270,552)(271,549)
(272,550)(273,575)(274,576)(275,573)(276,574)(277,571)(278,572)(279,569)
(280,570)(281,561)(282,562)(283,563)(284,564)(285,565)(286,566)(287,567)
(288,568);
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*s2*s1*s0*s1*s0*s1*s2*s1*s0*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,
s2*s0*s1*s2*s1*s2*s1*s2*s0*s1*s2*s1*s2*s0*s1*s2*s1*s2*s1*s2*s0*s1*s2*s1 >;
References : None.
to this polytope