Polytope of Type {3,4,40} with group SmallGroup(1920,238620)

Overview

Group: SmallGroup(1920,238620)
Rank: 4
Schläfli Type: {3,4,40}
Vertices, edges, …: 6, 12, 160, 40
Order of s₀s₁s₂s₃: 120
Order of s₀s₁s₂s₃s₂s₁: 2
Also known as: {{3,4},{4,40|2}}. if this polytope has another name.

Special Properties

Universal
Orientable
Flat

Quotients maximal quotients in bold

2-fold

{3,4,20}*960

4-fold

5-fold

{3,4,8}*384

8-fold

{3,2,20}*240

10-fold

{3,4,4}*192b

16-fold

{3,2,10}*120

20-fold

32-fold

{3,2,5}*60

40-fold

80-fold

{3,2,2}*24

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*(s1*s0*s2)^2*s1> of order 2

40 facets

40 of 2-fold non-regular quotient of {3,4}*48

4 vertex figures

2 of {4,40}*320a
2 of {2,40}*160

Representations

Permutation Representation (GAP)

s0 := (  3,  4)(  7,  8)( 11, 12)( 15, 16)( 19, 20)( 21, 41)( 22, 42)( 23, 44)( 24, 43)( 25, 45)( 26, 46)( 27, 48)( 28, 47)( 29, 49)( 30, 50)( 31, 52)( 32, 51)( 33, 53)( 34, 54)( 35, 56)( 36, 55)( 37, 57)( 38, 58)( 39, 60)( 40, 59)( 63, 64)( 67, 68)( 71, 72)( 75, 76)( 79, 80)( 81,101)( 82,102)( 83,104)( 84,103)( 85,105)( 86,106)( 87,108)( 88,107)( 89,109)( 90,110)( 91,112)( 92,111)( 93,113)( 94,114)( 95,116)( 96,115)( 97,117)( 98,118)( 99,120)(100,119)(123,124)(127,128)(131,132)(135,136)(139,140)(141,161)(142,162)(143,164)(144,163)(145,165)(146,166)(147,168)(148,167)(149,169)(150,170)(151,172)(152,171)(153,173)(154,174)(155,176)(156,175)(157,177)(158,178)(159,180)(160,179)(183,184)(187,188)(191,192)(195,196)(199,200)(201,221)(202,222)(203,224)(204,223)(205,225)(206,226)(207,228)(208,227)(209,229)(210,230)(211,232)(212,231)(213,233)(214,234)(215,236)(216,235)(217,237)(218,238)(219,240)(220,239)(243,244)(247,248)(251,252)(255,256)(259,260)(261,281)(262,282)(263,284)(264,283)(265,285)(266,286)(267,288)(268,287)(269,289)(270,290)(271,292)(272,291)(273,293)(274,294)(275,296)(276,295)(277,297)(278,298)(279,300)(280,299)(303,304)(307,308)(311,312)(315,316)(319,320)(321,341)(322,342)(323,344)(324,343)(325,345)(326,346)(327,348)(328,347)(329,349)(330,350)(331,352)(332,351)(333,353)(334,354)(335,356)(336,355)(337,357)(338,358)(339,360)(340,359)(363,364)(367,368)(371,372)(375,376)(379,380)(381,401)(382,402)(383,404)(384,403)(385,405)(386,406)(387,408)(388,407)(389,409)(390,410)(391,412)(392,411)(393,413)(394,414)(395,416)(396,415)(397,417)(398,418)(399,420)(400,419)(423,424)(427,428)(431,432)(435,436)(439,440)(441,461)(442,462)(443,464)(444,463)(445,465)(446,466)(447,468)(448,467)(449,469)(450,470)(451,472)(452,471)(453,473)(454,474)(455,476)(456,475)(457,477)(458,478)(459,480)(460,479);;
s1 := (  1, 21)(  2, 24)(  3, 23)(  4, 22)(  5, 25)(  6, 28)(  7, 27)(  8, 26)(  9, 29)( 10, 32)( 11, 31)( 12, 30)( 13, 33)( 14, 36)( 15, 35)( 16, 34)( 17, 37)( 18, 40)( 19, 39)( 20, 38)( 42, 44)( 46, 48)( 50, 52)( 54, 56)( 58, 60)( 61, 81)( 62, 84)( 63, 83)( 64, 82)( 65, 85)( 66, 88)( 67, 87)( 68, 86)( 69, 89)( 70, 92)( 71, 91)( 72, 90)( 73, 93)( 74, 96)( 75, 95)( 76, 94)( 77, 97)( 78,100)( 79, 99)( 80, 98)(102,104)(106,108)(110,112)(114,116)(118,120)(121,141)(122,144)(123,143)(124,142)(125,145)(126,148)(127,147)(128,146)(129,149)(130,152)(131,151)(132,150)(133,153)(134,156)(135,155)(136,154)(137,157)(138,160)(139,159)(140,158)(162,164)(166,168)(170,172)(174,176)(178,180)(181,201)(182,204)(183,203)(184,202)(185,205)(186,208)(187,207)(188,206)(189,209)(190,212)(191,211)(192,210)(193,213)(194,216)(195,215)(196,214)(197,217)(198,220)(199,219)(200,218)(222,224)(226,228)(230,232)(234,236)(238,240)(241,261)(242,264)(243,263)(244,262)(245,265)(246,268)(247,267)(248,266)(249,269)(250,272)(251,271)(252,270)(253,273)(254,276)(255,275)(256,274)(257,277)(258,280)(259,279)(260,278)(282,284)(286,288)(290,292)(294,296)(298,300)(301,321)(302,324)(303,323)(304,322)(305,325)(306,328)(307,327)(308,326)(309,329)(310,332)(311,331)(312,330)(313,333)(314,336)(315,335)(316,334)(317,337)(318,340)(319,339)(320,338)(342,344)(346,348)(350,352)(354,356)(358,360)(361,381)(362,384)(363,383)(364,382)(365,385)(366,388)(367,387)(368,386)(369,389)(370,392)(371,391)(372,390)(373,393)(374,396)(375,395)(376,394)(377,397)(378,400)(379,399)(380,398)(402,404)(406,408)(410,412)(414,416)(418,420)(421,441)(422,444)(423,443)(424,442)(425,445)(426,448)(427,447)(428,446)(429,449)(430,452)(431,451)(432,450)(433,453)(434,456)(435,455)(436,454)(437,457)(438,460)(439,459)(440,458)(462,464)(466,468)(470,472)(474,476)(478,480);;
s2 := (  1,  2)(  3,  4)(  5, 18)(  6, 17)(  7, 20)(  8, 19)(  9, 14)( 10, 13)( 11, 16)( 12, 15)( 21, 22)( 23, 24)( 25, 38)( 26, 37)( 27, 40)( 28, 39)( 29, 34)( 30, 33)( 31, 36)( 32, 35)( 41, 42)( 43, 44)( 45, 58)( 46, 57)( 47, 60)( 48, 59)( 49, 54)( 50, 53)( 51, 56)( 52, 55)( 61, 62)( 63, 64)( 65, 78)( 66, 77)( 67, 80)( 68, 79)( 69, 74)( 70, 73)( 71, 76)( 72, 75)( 81, 82)( 83, 84)( 85, 98)( 86, 97)( 87,100)( 88, 99)( 89, 94)( 90, 93)( 91, 96)( 92, 95)(101,102)(103,104)(105,118)(106,117)(107,120)(108,119)(109,114)(110,113)(111,116)(112,115)(121,182)(122,181)(123,184)(124,183)(125,198)(126,197)(127,200)(128,199)(129,194)(130,193)(131,196)(132,195)(133,190)(134,189)(135,192)(136,191)(137,186)(138,185)(139,188)(140,187)(141,202)(142,201)(143,204)(144,203)(145,218)(146,217)(147,220)(148,219)(149,214)(150,213)(151,216)(152,215)(153,210)(154,209)(155,212)(156,211)(157,206)(158,205)(159,208)(160,207)(161,222)(162,221)(163,224)(164,223)(165,238)(166,237)(167,240)(168,239)(169,234)(170,233)(171,236)(172,235)(173,230)(174,229)(175,232)(176,231)(177,226)(178,225)(179,228)(180,227)(241,362)(242,361)(243,364)(244,363)(245,378)(246,377)(247,380)(248,379)(249,374)(250,373)(251,376)(252,375)(253,370)(254,369)(255,372)(256,371)(257,366)(258,365)(259,368)(260,367)(261,382)(262,381)(263,384)(264,383)(265,398)(266,397)(267,400)(268,399)(269,394)(270,393)(271,396)(272,395)(273,390)(274,389)(275,392)(276,391)(277,386)(278,385)(279,388)(280,387)(281,402)(282,401)(283,404)(284,403)(285,418)(286,417)(287,420)(288,419)(289,414)(290,413)(291,416)(292,415)(293,410)(294,409)(295,412)(296,411)(297,406)(298,405)(299,408)(300,407)(301,422)(302,421)(303,424)(304,423)(305,438)(306,437)(307,440)(308,439)(309,434)(310,433)(311,436)(312,435)(313,430)(314,429)(315,432)(316,431)(317,426)(318,425)(319,428)(320,427)(321,442)(322,441)(323,444)(324,443)(325,458)(326,457)(327,460)(328,459)(329,454)(330,453)(331,456)(332,455)(333,450)(334,449)(335,452)(336,451)(337,446)(338,445)(339,448)(340,447)(341,462)(342,461)(343,464)(344,463)(345,478)(346,477)(347,480)(348,479)(349,474)(350,473)(351,476)(352,475)(353,470)(354,469)(355,472)(356,471)(357,466)(358,465)(359,468)(360,467);;
s3 := (  1,245)(  2,246)(  3,247)(  4,248)(  5,241)(  6,242)(  7,243)(  8,244)(  9,257)( 10,258)( 11,259)( 12,260)( 13,253)( 14,254)( 15,255)( 16,256)( 17,249)( 18,250)( 19,251)( 20,252)( 21,265)( 22,266)( 23,267)( 24,268)( 25,261)( 26,262)( 27,263)( 28,264)( 29,277)( 30,278)( 31,279)( 32,280)( 33,273)( 34,274)( 35,275)( 36,276)( 37,269)( 38,270)( 39,271)( 40,272)( 41,285)( 42,286)( 43,287)( 44,288)( 45,281)( 46,282)( 47,283)( 48,284)( 49,297)( 50,298)( 51,299)( 52,300)( 53,293)( 54,294)( 55,295)( 56,296)( 57,289)( 58,290)( 59,291)( 60,292)( 61,305)( 62,306)( 63,307)( 64,308)( 65,301)( 66,302)( 67,303)( 68,304)( 69,317)( 70,318)( 71,319)( 72,320)( 73,313)( 74,314)( 75,315)( 76,316)( 77,309)( 78,310)( 79,311)( 80,312)( 81,325)( 82,326)( 83,327)( 84,328)( 85,321)( 86,322)( 87,323)( 88,324)( 89,337)( 90,338)( 91,339)( 92,340)( 93,333)( 94,334)( 95,335)( 96,336)( 97,329)( 98,330)( 99,331)(100,332)(101,345)(102,346)(103,347)(104,348)(105,341)(106,342)(107,343)(108,344)(109,357)(110,358)(111,359)(112,360)(113,353)(114,354)(115,355)(116,356)(117,349)(118,350)(119,351)(120,352)(121,425)(122,426)(123,427)(124,428)(125,421)(126,422)(127,423)(128,424)(129,437)(130,438)(131,439)(132,440)(133,433)(134,434)(135,435)(136,436)(137,429)(138,430)(139,431)(140,432)(141,445)(142,446)(143,447)(144,448)(145,441)(146,442)(147,443)(148,444)(149,457)(150,458)(151,459)(152,460)(153,453)(154,454)(155,455)(156,456)(157,449)(158,450)(159,451)(160,452)(161,465)(162,466)(163,467)(164,468)(165,461)(166,462)(167,463)(168,464)(169,477)(170,478)(171,479)(172,480)(173,473)(174,474)(175,475)(176,476)(177,469)(178,470)(179,471)(180,472)(181,365)(182,366)(183,367)(184,368)(185,361)(186,362)(187,363)(188,364)(189,377)(190,378)(191,379)(192,380)(193,373)(194,374)(195,375)(196,376)(197,369)(198,370)(199,371)(200,372)(201,385)(202,386)(203,387)(204,388)(205,381)(206,382)(207,383)(208,384)(209,397)(210,398)(211,399)(212,400)(213,393)(214,394)(215,395)(216,396)(217,389)(218,390)(219,391)(220,392)(221,405)(222,406)(223,407)(224,408)(225,401)(226,402)(227,403)(228,404)(229,417)(230,418)(231,419)(232,420)(233,413)(234,414)(235,415)(236,416)(237,409)(238,410)(239,411)(240,412);;
poly := Group([s0,s1,s2,s3]);;

Finitely Presented Group Representation (GAP)

F := FreeGroup("s0","s1","s2","s3");;
s0 := F.1;;  s1 := F.2;;  s2 := F.3;;  s3 := F.4;;  
rels := [ s0*s0, s1*s1, s2*s2, s3*s3, s0*s2*s0*s2, 
s0*s3*s0*s3, s1*s3*s1*s3, s0*s1*s0*s1*s0*s1, 
s1*s2*s1*s2*s1*s2*s1*s2, s1*s2*s3*s2*s1*s2*s3*s2, 
s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 ];;
poly := F / rels;;

Permutation Representation (Magma)

s0 := Sym(480)!(  3,  4)(  7,  8)( 11, 12)( 15, 16)( 19, 20)( 21, 41)( 22, 42)( 23, 44)( 24, 43)( 25, 45)( 26, 46)( 27, 48)( 28, 47)( 29, 49)( 30, 50)( 31, 52)( 32, 51)( 33, 53)( 34, 54)( 35, 56)( 36, 55)( 37, 57)( 38, 58)( 39, 60)( 40, 59)( 63, 64)( 67, 68)( 71, 72)( 75, 76)( 79, 80)( 81,101)( 82,102)( 83,104)( 84,103)( 85,105)( 86,106)( 87,108)( 88,107)( 89,109)( 90,110)( 91,112)( 92,111)( 93,113)( 94,114)( 95,116)( 96,115)( 97,117)( 98,118)( 99,120)(100,119)(123,124)(127,128)(131,132)(135,136)(139,140)(141,161)(142,162)(143,164)(144,163)(145,165)(146,166)(147,168)(148,167)(149,169)(150,170)(151,172)(152,171)(153,173)(154,174)(155,176)(156,175)(157,177)(158,178)(159,180)(160,179)(183,184)(187,188)(191,192)(195,196)(199,200)(201,221)(202,222)(203,224)(204,223)(205,225)(206,226)(207,228)(208,227)(209,229)(210,230)(211,232)(212,231)(213,233)(214,234)(215,236)(216,235)(217,237)(218,238)(219,240)(220,239)(243,244)(247,248)(251,252)(255,256)(259,260)(261,281)(262,282)(263,284)(264,283)(265,285)(266,286)(267,288)(268,287)(269,289)(270,290)(271,292)(272,291)(273,293)(274,294)(275,296)(276,295)(277,297)(278,298)(279,300)(280,299)(303,304)(307,308)(311,312)(315,316)(319,320)(321,341)(322,342)(323,344)(324,343)(325,345)(326,346)(327,348)(328,347)(329,349)(330,350)(331,352)(332,351)(333,353)(334,354)(335,356)(336,355)(337,357)(338,358)(339,360)(340,359)(363,364)(367,368)(371,372)(375,376)(379,380)(381,401)(382,402)(383,404)(384,403)(385,405)(386,406)(387,408)(388,407)(389,409)(390,410)(391,412)(392,411)(393,413)(394,414)(395,416)(396,415)(397,417)(398,418)(399,420)(400,419)(423,424)(427,428)(431,432)(435,436)(439,440)(441,461)(442,462)(443,464)(444,463)(445,465)(446,466)(447,468)(448,467)(449,469)(450,470)(451,472)(452,471)(453,473)(454,474)(455,476)(456,475)(457,477)(458,478)(459,480)(460,479);
s1 := Sym(480)!(  1, 21)(  2, 24)(  3, 23)(  4, 22)(  5, 25)(  6, 28)(  7, 27)(  8, 26)(  9, 29)( 10, 32)( 11, 31)( 12, 30)( 13, 33)( 14, 36)( 15, 35)( 16, 34)( 17, 37)( 18, 40)( 19, 39)( 20, 38)( 42, 44)( 46, 48)( 50, 52)( 54, 56)( 58, 60)( 61, 81)( 62, 84)( 63, 83)( 64, 82)( 65, 85)( 66, 88)( 67, 87)( 68, 86)( 69, 89)( 70, 92)( 71, 91)( 72, 90)( 73, 93)( 74, 96)( 75, 95)( 76, 94)( 77, 97)( 78,100)( 79, 99)( 80, 98)(102,104)(106,108)(110,112)(114,116)(118,120)(121,141)(122,144)(123,143)(124,142)(125,145)(126,148)(127,147)(128,146)(129,149)(130,152)(131,151)(132,150)(133,153)(134,156)(135,155)(136,154)(137,157)(138,160)(139,159)(140,158)(162,164)(166,168)(170,172)(174,176)(178,180)(181,201)(182,204)(183,203)(184,202)(185,205)(186,208)(187,207)(188,206)(189,209)(190,212)(191,211)(192,210)(193,213)(194,216)(195,215)(196,214)(197,217)(198,220)(199,219)(200,218)(222,224)(226,228)(230,232)(234,236)(238,240)(241,261)(242,264)(243,263)(244,262)(245,265)(246,268)(247,267)(248,266)(249,269)(250,272)(251,271)(252,270)(253,273)(254,276)(255,275)(256,274)(257,277)(258,280)(259,279)(260,278)(282,284)(286,288)(290,292)(294,296)(298,300)(301,321)(302,324)(303,323)(304,322)(305,325)(306,328)(307,327)(308,326)(309,329)(310,332)(311,331)(312,330)(313,333)(314,336)(315,335)(316,334)(317,337)(318,340)(319,339)(320,338)(342,344)(346,348)(350,352)(354,356)(358,360)(361,381)(362,384)(363,383)(364,382)(365,385)(366,388)(367,387)(368,386)(369,389)(370,392)(371,391)(372,390)(373,393)(374,396)(375,395)(376,394)(377,397)(378,400)(379,399)(380,398)(402,404)(406,408)(410,412)(414,416)(418,420)(421,441)(422,444)(423,443)(424,442)(425,445)(426,448)(427,447)(428,446)(429,449)(430,452)(431,451)(432,450)(433,453)(434,456)(435,455)(436,454)(437,457)(438,460)(439,459)(440,458)(462,464)(466,468)(470,472)(474,476)(478,480);
s2 := Sym(480)!(  1,  2)(  3,  4)(  5, 18)(  6, 17)(  7, 20)(  8, 19)(  9, 14)( 10, 13)( 11, 16)( 12, 15)( 21, 22)( 23, 24)( 25, 38)( 26, 37)( 27, 40)( 28, 39)( 29, 34)( 30, 33)( 31, 36)( 32, 35)( 41, 42)( 43, 44)( 45, 58)( 46, 57)( 47, 60)( 48, 59)( 49, 54)( 50, 53)( 51, 56)( 52, 55)( 61, 62)( 63, 64)( 65, 78)( 66, 77)( 67, 80)( 68, 79)( 69, 74)( 70, 73)( 71, 76)( 72, 75)( 81, 82)( 83, 84)( 85, 98)( 86, 97)( 87,100)( 88, 99)( 89, 94)( 90, 93)( 91, 96)( 92, 95)(101,102)(103,104)(105,118)(106,117)(107,120)(108,119)(109,114)(110,113)(111,116)(112,115)(121,182)(122,181)(123,184)(124,183)(125,198)(126,197)(127,200)(128,199)(129,194)(130,193)(131,196)(132,195)(133,190)(134,189)(135,192)(136,191)(137,186)(138,185)(139,188)(140,187)(141,202)(142,201)(143,204)(144,203)(145,218)(146,217)(147,220)(148,219)(149,214)(150,213)(151,216)(152,215)(153,210)(154,209)(155,212)(156,211)(157,206)(158,205)(159,208)(160,207)(161,222)(162,221)(163,224)(164,223)(165,238)(166,237)(167,240)(168,239)(169,234)(170,233)(171,236)(172,235)(173,230)(174,229)(175,232)(176,231)(177,226)(178,225)(179,228)(180,227)(241,362)(242,361)(243,364)(244,363)(245,378)(246,377)(247,380)(248,379)(249,374)(250,373)(251,376)(252,375)(253,370)(254,369)(255,372)(256,371)(257,366)(258,365)(259,368)(260,367)(261,382)(262,381)(263,384)(264,383)(265,398)(266,397)(267,400)(268,399)(269,394)(270,393)(271,396)(272,395)(273,390)(274,389)(275,392)(276,391)(277,386)(278,385)(279,388)(280,387)(281,402)(282,401)(283,404)(284,403)(285,418)(286,417)(287,420)(288,419)(289,414)(290,413)(291,416)(292,415)(293,410)(294,409)(295,412)(296,411)(297,406)(298,405)(299,408)(300,407)(301,422)(302,421)(303,424)(304,423)(305,438)(306,437)(307,440)(308,439)(309,434)(310,433)(311,436)(312,435)(313,430)(314,429)(315,432)(316,431)(317,426)(318,425)(319,428)(320,427)(321,442)(322,441)(323,444)(324,443)(325,458)(326,457)(327,460)(328,459)(329,454)(330,453)(331,456)(332,455)(333,450)(334,449)(335,452)(336,451)(337,446)(338,445)(339,448)(340,447)(341,462)(342,461)(343,464)(344,463)(345,478)(346,477)(347,480)(348,479)(349,474)(350,473)(351,476)(352,475)(353,470)(354,469)(355,472)(356,471)(357,466)(358,465)(359,468)(360,467);
s3 := Sym(480)!(  1,245)(  2,246)(  3,247)(  4,248)(  5,241)(  6,242)(  7,243)(  8,244)(  9,257)( 10,258)( 11,259)( 12,260)( 13,253)( 14,254)( 15,255)( 16,256)( 17,249)( 18,250)( 19,251)( 20,252)( 21,265)( 22,266)( 23,267)( 24,268)( 25,261)( 26,262)( 27,263)( 28,264)( 29,277)( 30,278)( 31,279)( 32,280)( 33,273)( 34,274)( 35,275)( 36,276)( 37,269)( 38,270)( 39,271)( 40,272)( 41,285)( 42,286)( 43,287)( 44,288)( 45,281)( 46,282)( 47,283)( 48,284)( 49,297)( 50,298)( 51,299)( 52,300)( 53,293)( 54,294)( 55,295)( 56,296)( 57,289)( 58,290)( 59,291)( 60,292)( 61,305)( 62,306)( 63,307)( 64,308)( 65,301)( 66,302)( 67,303)( 68,304)( 69,317)( 70,318)( 71,319)( 72,320)( 73,313)( 74,314)( 75,315)( 76,316)( 77,309)( 78,310)( 79,311)( 80,312)( 81,325)( 82,326)( 83,327)( 84,328)( 85,321)( 86,322)( 87,323)( 88,324)( 89,337)( 90,338)( 91,339)( 92,340)( 93,333)( 94,334)( 95,335)( 96,336)( 97,329)( 98,330)( 99,331)(100,332)(101,345)(102,346)(103,347)(104,348)(105,341)(106,342)(107,343)(108,344)(109,357)(110,358)(111,359)(112,360)(113,353)(114,354)(115,355)(116,356)(117,349)(118,350)(119,351)(120,352)(121,425)(122,426)(123,427)(124,428)(125,421)(126,422)(127,423)(128,424)(129,437)(130,438)(131,439)(132,440)(133,433)(134,434)(135,435)(136,436)(137,429)(138,430)(139,431)(140,432)(141,445)(142,446)(143,447)(144,448)(145,441)(146,442)(147,443)(148,444)(149,457)(150,458)(151,459)(152,460)(153,453)(154,454)(155,455)(156,456)(157,449)(158,450)(159,451)(160,452)(161,465)(162,466)(163,467)(164,468)(165,461)(166,462)(167,463)(168,464)(169,477)(170,478)(171,479)(172,480)(173,473)(174,474)(175,475)(176,476)(177,469)(178,470)(179,471)(180,472)(181,365)(182,366)(183,367)(184,368)(185,361)(186,362)(187,363)(188,364)(189,377)(190,378)(191,379)(192,380)(193,373)(194,374)(195,375)(196,376)(197,369)(198,370)(199,371)(200,372)(201,385)(202,386)(203,387)(204,388)(205,381)(206,382)(207,383)(208,384)(209,397)(210,398)(211,399)(212,400)(213,393)(214,394)(215,395)(216,396)(217,389)(218,390)(219,391)(220,392)(221,405)(222,406)(223,407)(224,408)(225,401)(226,402)(227,403)(228,404)(229,417)(230,418)(231,419)(232,420)(233,413)(234,414)(235,415)(236,416)(237,409)(238,410)(239,411)(240,412);
poly := sub<Sym(480)|s0,s1,s2,s3>;

Finitely Presented Group Representation (Magma)

poly<s0,s1,s2,s3> := Group< s0,s1,s2,s3 | s0*s0, s1*s1, s2*s2, 
s3*s3, s0*s2*s0*s2, s0*s3*s0*s3, s1*s3*s1*s3, 
s0*s1*s0*s1*s0*s1, s1*s2*s1*s2*s1*s2*s1*s2, 
s1*s2*s3*s2*s1*s2*s3*s2, s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3*s2*s3 >;

References

None.

to this polytope.