Polytope of Type {38,16}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {38,16}*1216
Also Known As : {38,16|2}. if this polytope has another name.
Group : SmallGroup(1216,968)
Rank : 3
Schlafli Type : {38,16}
Number of vertices, edges, etc : 38, 304, 16
Order of s0s1s2 : 304
Order of s0s1s2s1 : 2
Special Properties :
Compact Hyperbolic Quotient
Locally Spherical
Orientable
Flat
Related Polytopes :
Facet
Vertex Figure
Dual
Facet Of :
None in this Atlas
Vertex Figure Of :
None in this Atlas
Quotients (Maximal Quotients in Boldface) :
2-fold quotients : {38,8}*608
4-fold quotients : {38,4}*304
8-fold quotients : {38,2}*152
16-fold quotients : {19,2}*76
19-fold quotients : {2,16}*64
38-fold quotients : {2,8}*32
76-fold quotients : {2,4}*16
152-fold quotients : {2,2}*8
Covers (Minimal Covers in Boldface) :
None in this atlas.
Permutation Representation (GAP) :
s0 := ( 1,153)( 2,171)( 3,170)( 4,169)( 5,168)( 6,167)( 7,166)( 8,165)
( 9,164)( 10,163)( 11,162)( 12,161)( 13,160)( 14,159)( 15,158)( 16,157)
( 17,156)( 18,155)( 19,154)( 20,172)( 21,190)( 22,189)( 23,188)( 24,187)
( 25,186)( 26,185)( 27,184)( 28,183)( 29,182)( 30,181)( 31,180)( 32,179)
( 33,178)( 34,177)( 35,176)( 36,175)( 37,174)( 38,173)( 39,191)( 40,209)
( 41,208)( 42,207)( 43,206)( 44,205)( 45,204)( 46,203)( 47,202)( 48,201)
( 49,200)( 50,199)( 51,198)( 52,197)( 53,196)( 54,195)( 55,194)( 56,193)
( 57,192)( 58,210)( 59,228)( 60,227)( 61,226)( 62,225)( 63,224)( 64,223)
( 65,222)( 66,221)( 67,220)( 68,219)( 69,218)( 70,217)( 71,216)( 72,215)
( 73,214)( 74,213)( 75,212)( 76,211)( 77,229)( 78,247)( 79,246)( 80,245)
( 81,244)( 82,243)( 83,242)( 84,241)( 85,240)( 86,239)( 87,238)( 88,237)
( 89,236)( 90,235)( 91,234)( 92,233)( 93,232)( 94,231)( 95,230)( 96,248)
( 97,266)( 98,265)( 99,264)(100,263)(101,262)(102,261)(103,260)(104,259)
(105,258)(106,257)(107,256)(108,255)(109,254)(110,253)(111,252)(112,251)
(113,250)(114,249)(115,267)(116,285)(117,284)(118,283)(119,282)(120,281)
(121,280)(122,279)(123,278)(124,277)(125,276)(126,275)(127,274)(128,273)
(129,272)(130,271)(131,270)(132,269)(133,268)(134,286)(135,304)(136,303)
(137,302)(138,301)(139,300)(140,299)(141,298)(142,297)(143,296)(144,295)
(145,294)(146,293)(147,292)(148,291)(149,290)(150,289)(151,288)(152,287)
(305,457)(306,475)(307,474)(308,473)(309,472)(310,471)(311,470)(312,469)
(313,468)(314,467)(315,466)(316,465)(317,464)(318,463)(319,462)(320,461)
(321,460)(322,459)(323,458)(324,476)(325,494)(326,493)(327,492)(328,491)
(329,490)(330,489)(331,488)(332,487)(333,486)(334,485)(335,484)(336,483)
(337,482)(338,481)(339,480)(340,479)(341,478)(342,477)(343,495)(344,513)
(345,512)(346,511)(347,510)(348,509)(349,508)(350,507)(351,506)(352,505)
(353,504)(354,503)(355,502)(356,501)(357,500)(358,499)(359,498)(360,497)
(361,496)(362,514)(363,532)(364,531)(365,530)(366,529)(367,528)(368,527)
(369,526)(370,525)(371,524)(372,523)(373,522)(374,521)(375,520)(376,519)
(377,518)(378,517)(379,516)(380,515)(381,533)(382,551)(383,550)(384,549)
(385,548)(386,547)(387,546)(388,545)(389,544)(390,543)(391,542)(392,541)
(393,540)(394,539)(395,538)(396,537)(397,536)(398,535)(399,534)(400,552)
(401,570)(402,569)(403,568)(404,567)(405,566)(406,565)(407,564)(408,563)
(409,562)(410,561)(411,560)(412,559)(413,558)(414,557)(415,556)(416,555)
(417,554)(418,553)(419,571)(420,589)(421,588)(422,587)(423,586)(424,585)
(425,584)(426,583)(427,582)(428,581)(429,580)(430,579)(431,578)(432,577)
(433,576)(434,575)(435,574)(436,573)(437,572)(438,590)(439,608)(440,607)
(441,606)(442,605)(443,604)(444,603)(445,602)(446,601)(447,600)(448,599)
(449,598)(450,597)(451,596)(452,595)(453,594)(454,593)(455,592)(456,591);;
s1 := ( 1,154)( 2,153)( 3,171)( 4,170)( 5,169)( 6,168)( 7,167)( 8,166)
( 9,165)( 10,164)( 11,163)( 12,162)( 13,161)( 14,160)( 15,159)( 16,158)
( 17,157)( 18,156)( 19,155)( 20,173)( 21,172)( 22,190)( 23,189)( 24,188)
( 25,187)( 26,186)( 27,185)( 28,184)( 29,183)( 30,182)( 31,181)( 32,180)
( 33,179)( 34,178)( 35,177)( 36,176)( 37,175)( 38,174)( 39,211)( 40,210)
( 41,228)( 42,227)( 43,226)( 44,225)( 45,224)( 46,223)( 47,222)( 48,221)
( 49,220)( 50,219)( 51,218)( 52,217)( 53,216)( 54,215)( 55,214)( 56,213)
( 57,212)( 58,192)( 59,191)( 60,209)( 61,208)( 62,207)( 63,206)( 64,205)
( 65,204)( 66,203)( 67,202)( 68,201)( 69,200)( 70,199)( 71,198)( 72,197)
( 73,196)( 74,195)( 75,194)( 76,193)( 77,268)( 78,267)( 79,285)( 80,284)
( 81,283)( 82,282)( 83,281)( 84,280)( 85,279)( 86,278)( 87,277)( 88,276)
( 89,275)( 90,274)( 91,273)( 92,272)( 93,271)( 94,270)( 95,269)( 96,287)
( 97,286)( 98,304)( 99,303)(100,302)(101,301)(102,300)(103,299)(104,298)
(105,297)(106,296)(107,295)(108,294)(109,293)(110,292)(111,291)(112,290)
(113,289)(114,288)(115,230)(116,229)(117,247)(118,246)(119,245)(120,244)
(121,243)(122,242)(123,241)(124,240)(125,239)(126,238)(127,237)(128,236)
(129,235)(130,234)(131,233)(132,232)(133,231)(134,249)(135,248)(136,266)
(137,265)(138,264)(139,263)(140,262)(141,261)(142,260)(143,259)(144,258)
(145,257)(146,256)(147,255)(148,254)(149,253)(150,252)(151,251)(152,250)
(305,534)(306,533)(307,551)(308,550)(309,549)(310,548)(311,547)(312,546)
(313,545)(314,544)(315,543)(316,542)(317,541)(318,540)(319,539)(320,538)
(321,537)(322,536)(323,535)(324,553)(325,552)(326,570)(327,569)(328,568)
(329,567)(330,566)(331,565)(332,564)(333,563)(334,562)(335,561)(336,560)
(337,559)(338,558)(339,557)(340,556)(341,555)(342,554)(343,591)(344,590)
(345,608)(346,607)(347,606)(348,605)(349,604)(350,603)(351,602)(352,601)
(353,600)(354,599)(355,598)(356,597)(357,596)(358,595)(359,594)(360,593)
(361,592)(362,572)(363,571)(364,589)(365,588)(366,587)(367,586)(368,585)
(369,584)(370,583)(371,582)(372,581)(373,580)(374,579)(375,578)(376,577)
(377,576)(378,575)(379,574)(380,573)(381,458)(382,457)(383,475)(384,474)
(385,473)(386,472)(387,471)(388,470)(389,469)(390,468)(391,467)(392,466)
(393,465)(394,464)(395,463)(396,462)(397,461)(398,460)(399,459)(400,477)
(401,476)(402,494)(403,493)(404,492)(405,491)(406,490)(407,489)(408,488)
(409,487)(410,486)(411,485)(412,484)(413,483)(414,482)(415,481)(416,480)
(417,479)(418,478)(419,515)(420,514)(421,532)(422,531)(423,530)(424,529)
(425,528)(426,527)(427,526)(428,525)(429,524)(430,523)(431,522)(432,521)
(433,520)(434,519)(435,518)(436,517)(437,516)(438,496)(439,495)(440,513)
(441,512)(442,511)(443,510)(444,509)(445,508)(446,507)(447,506)(448,505)
(449,504)(450,503)(451,502)(452,501)(453,500)(454,499)(455,498)(456,497);;
s2 := ( 1,305)( 2,306)( 3,307)( 4,308)( 5,309)( 6,310)( 7,311)( 8,312)
( 9,313)( 10,314)( 11,315)( 12,316)( 13,317)( 14,318)( 15,319)( 16,320)
( 17,321)( 18,322)( 19,323)( 20,324)( 21,325)( 22,326)( 23,327)( 24,328)
( 25,329)( 26,330)( 27,331)( 28,332)( 29,333)( 30,334)( 31,335)( 32,336)
( 33,337)( 34,338)( 35,339)( 36,340)( 37,341)( 38,342)( 39,362)( 40,363)
( 41,364)( 42,365)( 43,366)( 44,367)( 45,368)( 46,369)( 47,370)( 48,371)
( 49,372)( 50,373)( 51,374)( 52,375)( 53,376)( 54,377)( 55,378)( 56,379)
( 57,380)( 58,343)( 59,344)( 60,345)( 61,346)( 62,347)( 63,348)( 64,349)
( 65,350)( 66,351)( 67,352)( 68,353)( 69,354)( 70,355)( 71,356)( 72,357)
( 73,358)( 74,359)( 75,360)( 76,361)( 77,419)( 78,420)( 79,421)( 80,422)
( 81,423)( 82,424)( 83,425)( 84,426)( 85,427)( 86,428)( 87,429)( 88,430)
( 89,431)( 90,432)( 91,433)( 92,434)( 93,435)( 94,436)( 95,437)( 96,438)
( 97,439)( 98,440)( 99,441)(100,442)(101,443)(102,444)(103,445)(104,446)
(105,447)(106,448)(107,449)(108,450)(109,451)(110,452)(111,453)(112,454)
(113,455)(114,456)(115,381)(116,382)(117,383)(118,384)(119,385)(120,386)
(121,387)(122,388)(123,389)(124,390)(125,391)(126,392)(127,393)(128,394)
(129,395)(130,396)(131,397)(132,398)(133,399)(134,400)(135,401)(136,402)
(137,403)(138,404)(139,405)(140,406)(141,407)(142,408)(143,409)(144,410)
(145,411)(146,412)(147,413)(148,414)(149,415)(150,416)(151,417)(152,418)
(153,457)(154,458)(155,459)(156,460)(157,461)(158,462)(159,463)(160,464)
(161,465)(162,466)(163,467)(164,468)(165,469)(166,470)(167,471)(168,472)
(169,473)(170,474)(171,475)(172,476)(173,477)(174,478)(175,479)(176,480)
(177,481)(178,482)(179,483)(180,484)(181,485)(182,486)(183,487)(184,488)
(185,489)(186,490)(187,491)(188,492)(189,493)(190,494)(191,514)(192,515)
(193,516)(194,517)(195,518)(196,519)(197,520)(198,521)(199,522)(200,523)
(201,524)(202,525)(203,526)(204,527)(205,528)(206,529)(207,530)(208,531)
(209,532)(210,495)(211,496)(212,497)(213,498)(214,499)(215,500)(216,501)
(217,502)(218,503)(219,504)(220,505)(221,506)(222,507)(223,508)(224,509)
(225,510)(226,511)(227,512)(228,513)(229,571)(230,572)(231,573)(232,574)
(233,575)(234,576)(235,577)(236,578)(237,579)(238,580)(239,581)(240,582)
(241,583)(242,584)(243,585)(244,586)(245,587)(246,588)(247,589)(248,590)
(249,591)(250,592)(251,593)(252,594)(253,595)(254,596)(255,597)(256,598)
(257,599)(258,600)(259,601)(260,602)(261,603)(262,604)(263,605)(264,606)
(265,607)(266,608)(267,533)(268,534)(269,535)(270,536)(271,537)(272,538)
(273,539)(274,540)(275,541)(276,542)(277,543)(278,544)(279,545)(280,546)
(281,547)(282,548)(283,549)(284,550)(285,551)(286,552)(287,553)(288,554)
(289,555)(290,556)(291,557)(292,558)(293,559)(294,560)(295,561)(296,562)
(297,563)(298,564)(299,565)(300,566)(301,567)(302,568)(303,569)(304,570);;
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*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 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(608)!( 1,153)( 2,171)( 3,170)( 4,169)( 5,168)( 6,167)( 7,166)
( 8,165)( 9,164)( 10,163)( 11,162)( 12,161)( 13,160)( 14,159)( 15,158)
( 16,157)( 17,156)( 18,155)( 19,154)( 20,172)( 21,190)( 22,189)( 23,188)
( 24,187)( 25,186)( 26,185)( 27,184)( 28,183)( 29,182)( 30,181)( 31,180)
( 32,179)( 33,178)( 34,177)( 35,176)( 36,175)( 37,174)( 38,173)( 39,191)
( 40,209)( 41,208)( 42,207)( 43,206)( 44,205)( 45,204)( 46,203)( 47,202)
( 48,201)( 49,200)( 50,199)( 51,198)( 52,197)( 53,196)( 54,195)( 55,194)
( 56,193)( 57,192)( 58,210)( 59,228)( 60,227)( 61,226)( 62,225)( 63,224)
( 64,223)( 65,222)( 66,221)( 67,220)( 68,219)( 69,218)( 70,217)( 71,216)
( 72,215)( 73,214)( 74,213)( 75,212)( 76,211)( 77,229)( 78,247)( 79,246)
( 80,245)( 81,244)( 82,243)( 83,242)( 84,241)( 85,240)( 86,239)( 87,238)
( 88,237)( 89,236)( 90,235)( 91,234)( 92,233)( 93,232)( 94,231)( 95,230)
( 96,248)( 97,266)( 98,265)( 99,264)(100,263)(101,262)(102,261)(103,260)
(104,259)(105,258)(106,257)(107,256)(108,255)(109,254)(110,253)(111,252)
(112,251)(113,250)(114,249)(115,267)(116,285)(117,284)(118,283)(119,282)
(120,281)(121,280)(122,279)(123,278)(124,277)(125,276)(126,275)(127,274)
(128,273)(129,272)(130,271)(131,270)(132,269)(133,268)(134,286)(135,304)
(136,303)(137,302)(138,301)(139,300)(140,299)(141,298)(142,297)(143,296)
(144,295)(145,294)(146,293)(147,292)(148,291)(149,290)(150,289)(151,288)
(152,287)(305,457)(306,475)(307,474)(308,473)(309,472)(310,471)(311,470)
(312,469)(313,468)(314,467)(315,466)(316,465)(317,464)(318,463)(319,462)
(320,461)(321,460)(322,459)(323,458)(324,476)(325,494)(326,493)(327,492)
(328,491)(329,490)(330,489)(331,488)(332,487)(333,486)(334,485)(335,484)
(336,483)(337,482)(338,481)(339,480)(340,479)(341,478)(342,477)(343,495)
(344,513)(345,512)(346,511)(347,510)(348,509)(349,508)(350,507)(351,506)
(352,505)(353,504)(354,503)(355,502)(356,501)(357,500)(358,499)(359,498)
(360,497)(361,496)(362,514)(363,532)(364,531)(365,530)(366,529)(367,528)
(368,527)(369,526)(370,525)(371,524)(372,523)(373,522)(374,521)(375,520)
(376,519)(377,518)(378,517)(379,516)(380,515)(381,533)(382,551)(383,550)
(384,549)(385,548)(386,547)(387,546)(388,545)(389,544)(390,543)(391,542)
(392,541)(393,540)(394,539)(395,538)(396,537)(397,536)(398,535)(399,534)
(400,552)(401,570)(402,569)(403,568)(404,567)(405,566)(406,565)(407,564)
(408,563)(409,562)(410,561)(411,560)(412,559)(413,558)(414,557)(415,556)
(416,555)(417,554)(418,553)(419,571)(420,589)(421,588)(422,587)(423,586)
(424,585)(425,584)(426,583)(427,582)(428,581)(429,580)(430,579)(431,578)
(432,577)(433,576)(434,575)(435,574)(436,573)(437,572)(438,590)(439,608)
(440,607)(441,606)(442,605)(443,604)(444,603)(445,602)(446,601)(447,600)
(448,599)(449,598)(450,597)(451,596)(452,595)(453,594)(454,593)(455,592)
(456,591);
s1 := Sym(608)!( 1,154)( 2,153)( 3,171)( 4,170)( 5,169)( 6,168)( 7,167)
( 8,166)( 9,165)( 10,164)( 11,163)( 12,162)( 13,161)( 14,160)( 15,159)
( 16,158)( 17,157)( 18,156)( 19,155)( 20,173)( 21,172)( 22,190)( 23,189)
( 24,188)( 25,187)( 26,186)( 27,185)( 28,184)( 29,183)( 30,182)( 31,181)
( 32,180)( 33,179)( 34,178)( 35,177)( 36,176)( 37,175)( 38,174)( 39,211)
( 40,210)( 41,228)( 42,227)( 43,226)( 44,225)( 45,224)( 46,223)( 47,222)
( 48,221)( 49,220)( 50,219)( 51,218)( 52,217)( 53,216)( 54,215)( 55,214)
( 56,213)( 57,212)( 58,192)( 59,191)( 60,209)( 61,208)( 62,207)( 63,206)
( 64,205)( 65,204)( 66,203)( 67,202)( 68,201)( 69,200)( 70,199)( 71,198)
( 72,197)( 73,196)( 74,195)( 75,194)( 76,193)( 77,268)( 78,267)( 79,285)
( 80,284)( 81,283)( 82,282)( 83,281)( 84,280)( 85,279)( 86,278)( 87,277)
( 88,276)( 89,275)( 90,274)( 91,273)( 92,272)( 93,271)( 94,270)( 95,269)
( 96,287)( 97,286)( 98,304)( 99,303)(100,302)(101,301)(102,300)(103,299)
(104,298)(105,297)(106,296)(107,295)(108,294)(109,293)(110,292)(111,291)
(112,290)(113,289)(114,288)(115,230)(116,229)(117,247)(118,246)(119,245)
(120,244)(121,243)(122,242)(123,241)(124,240)(125,239)(126,238)(127,237)
(128,236)(129,235)(130,234)(131,233)(132,232)(133,231)(134,249)(135,248)
(136,266)(137,265)(138,264)(139,263)(140,262)(141,261)(142,260)(143,259)
(144,258)(145,257)(146,256)(147,255)(148,254)(149,253)(150,252)(151,251)
(152,250)(305,534)(306,533)(307,551)(308,550)(309,549)(310,548)(311,547)
(312,546)(313,545)(314,544)(315,543)(316,542)(317,541)(318,540)(319,539)
(320,538)(321,537)(322,536)(323,535)(324,553)(325,552)(326,570)(327,569)
(328,568)(329,567)(330,566)(331,565)(332,564)(333,563)(334,562)(335,561)
(336,560)(337,559)(338,558)(339,557)(340,556)(341,555)(342,554)(343,591)
(344,590)(345,608)(346,607)(347,606)(348,605)(349,604)(350,603)(351,602)
(352,601)(353,600)(354,599)(355,598)(356,597)(357,596)(358,595)(359,594)
(360,593)(361,592)(362,572)(363,571)(364,589)(365,588)(366,587)(367,586)
(368,585)(369,584)(370,583)(371,582)(372,581)(373,580)(374,579)(375,578)
(376,577)(377,576)(378,575)(379,574)(380,573)(381,458)(382,457)(383,475)
(384,474)(385,473)(386,472)(387,471)(388,470)(389,469)(390,468)(391,467)
(392,466)(393,465)(394,464)(395,463)(396,462)(397,461)(398,460)(399,459)
(400,477)(401,476)(402,494)(403,493)(404,492)(405,491)(406,490)(407,489)
(408,488)(409,487)(410,486)(411,485)(412,484)(413,483)(414,482)(415,481)
(416,480)(417,479)(418,478)(419,515)(420,514)(421,532)(422,531)(423,530)
(424,529)(425,528)(426,527)(427,526)(428,525)(429,524)(430,523)(431,522)
(432,521)(433,520)(434,519)(435,518)(436,517)(437,516)(438,496)(439,495)
(440,513)(441,512)(442,511)(443,510)(444,509)(445,508)(446,507)(447,506)
(448,505)(449,504)(450,503)(451,502)(452,501)(453,500)(454,499)(455,498)
(456,497);
s2 := Sym(608)!( 1,305)( 2,306)( 3,307)( 4,308)( 5,309)( 6,310)( 7,311)
( 8,312)( 9,313)( 10,314)( 11,315)( 12,316)( 13,317)( 14,318)( 15,319)
( 16,320)( 17,321)( 18,322)( 19,323)( 20,324)( 21,325)( 22,326)( 23,327)
( 24,328)( 25,329)( 26,330)( 27,331)( 28,332)( 29,333)( 30,334)( 31,335)
( 32,336)( 33,337)( 34,338)( 35,339)( 36,340)( 37,341)( 38,342)( 39,362)
( 40,363)( 41,364)( 42,365)( 43,366)( 44,367)( 45,368)( 46,369)( 47,370)
( 48,371)( 49,372)( 50,373)( 51,374)( 52,375)( 53,376)( 54,377)( 55,378)
( 56,379)( 57,380)( 58,343)( 59,344)( 60,345)( 61,346)( 62,347)( 63,348)
( 64,349)( 65,350)( 66,351)( 67,352)( 68,353)( 69,354)( 70,355)( 71,356)
( 72,357)( 73,358)( 74,359)( 75,360)( 76,361)( 77,419)( 78,420)( 79,421)
( 80,422)( 81,423)( 82,424)( 83,425)( 84,426)( 85,427)( 86,428)( 87,429)
( 88,430)( 89,431)( 90,432)( 91,433)( 92,434)( 93,435)( 94,436)( 95,437)
( 96,438)( 97,439)( 98,440)( 99,441)(100,442)(101,443)(102,444)(103,445)
(104,446)(105,447)(106,448)(107,449)(108,450)(109,451)(110,452)(111,453)
(112,454)(113,455)(114,456)(115,381)(116,382)(117,383)(118,384)(119,385)
(120,386)(121,387)(122,388)(123,389)(124,390)(125,391)(126,392)(127,393)
(128,394)(129,395)(130,396)(131,397)(132,398)(133,399)(134,400)(135,401)
(136,402)(137,403)(138,404)(139,405)(140,406)(141,407)(142,408)(143,409)
(144,410)(145,411)(146,412)(147,413)(148,414)(149,415)(150,416)(151,417)
(152,418)(153,457)(154,458)(155,459)(156,460)(157,461)(158,462)(159,463)
(160,464)(161,465)(162,466)(163,467)(164,468)(165,469)(166,470)(167,471)
(168,472)(169,473)(170,474)(171,475)(172,476)(173,477)(174,478)(175,479)
(176,480)(177,481)(178,482)(179,483)(180,484)(181,485)(182,486)(183,487)
(184,488)(185,489)(186,490)(187,491)(188,492)(189,493)(190,494)(191,514)
(192,515)(193,516)(194,517)(195,518)(196,519)(197,520)(198,521)(199,522)
(200,523)(201,524)(202,525)(203,526)(204,527)(205,528)(206,529)(207,530)
(208,531)(209,532)(210,495)(211,496)(212,497)(213,498)(214,499)(215,500)
(216,501)(217,502)(218,503)(219,504)(220,505)(221,506)(222,507)(223,508)
(224,509)(225,510)(226,511)(227,512)(228,513)(229,571)(230,572)(231,573)
(232,574)(233,575)(234,576)(235,577)(236,578)(237,579)(238,580)(239,581)
(240,582)(241,583)(242,584)(243,585)(244,586)(245,587)(246,588)(247,589)
(248,590)(249,591)(250,592)(251,593)(252,594)(253,595)(254,596)(255,597)
(256,598)(257,599)(258,600)(259,601)(260,602)(261,603)(262,604)(263,605)
(264,606)(265,607)(266,608)(267,533)(268,534)(269,535)(270,536)(271,537)
(272,538)(273,539)(274,540)(275,541)(276,542)(277,543)(278,544)(279,545)
(280,546)(281,547)(282,548)(283,549)(284,550)(285,551)(286,552)(287,553)
(288,554)(289,555)(290,556)(291,557)(292,558)(293,559)(294,560)(295,561)
(296,562)(297,563)(298,564)(299,565)(300,566)(301,567)(302,568)(303,569)
(304,570);
poly := sub<Sym(608)|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*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 >;
References : None.
to this polytope