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