Part of the Atlas of Small Regular Polytopes

Polytope of Type {4,12,20}

Atlas Canonical Name {4,12,20}*1920b

Overview

Group
SmallGroup(1920,238871)
Rank
4
Schläfli Type
{4,12,20}
Vertices, edges, …
4, 24, 120, 20
Order of s0s1s2s3
60
Order of s0s1s2s3s2s1
2
Also known as
if this polytope has a name.

Special Properties

  • Universal
  • Non-Orientable
  • Flat

Quotients maximal quotients in bold

2-fold

4-fold

5-fold

10-fold

20-fold

40-fold

Covers minimal covers in bold

None in this atlas.

Irregular Quotients of which this is a minimal cover

None.

Representations

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