local z, r, result;

result := rec();

result.comment := "2.L2(227) as 228 x 228 monomial matrices over Z(z226)\n";

# Change the value of r to any number between 1 and 56
# to get the complete set of inequivalent faithful irreducible 228-dimensional
# representations of 2.L2(227)
r := 1;
z := E(226)^(2*r-1);

result.symmetricforms := [ ]; 
result.antisymmetricforms := [ ]; 
result.hermitianforms := [ IdentityMat(228) ];
result.centralizeralgebra := [ IdentityMat(228) ];

result.generators := [
DiagonalMat([z^192,z^141,z^211,z^9,z^177,z^204,z^88,z^29,z^119,z^187,
  z^172,z^159,z^163,z^42,z^82,z^70,z^152,z^76,z^206,z^140,z^83,z^216,
  z^20,z^23,z^75,z^5,z^176,z^156,z^49,z^111,z^142,z^3,z^126,z^123,
  z^97,z^103,z^183,z^147,z^191,z^146,z^181,z^100,z^93,z^118,z^120,
  z^222,z^134,z^102,z^39,z^145,z^164,z^218,z^61,z^8,z^4,z^199,z^65,
  z^121,z^186,z^55,z^130,z^47,z^58,z^17,z^137,z^132,z^144,z^158,z^89,
  z^224,z^56,z^171,z^143,z^200,z^175,z^104,z^195,z^35,z^69,z^32,z^18,
  z^167,z^40,z^182,z^190,z^38,z^131,z^170,z^110,z^6,z^205,z^225,z^161,
  z^16,z^94,z^188,z^221,z^95,z^136,z^37,z^54,z^24,z^207,z^212,z^2,
  z^11,z^12,z^125,z^114,z^64,z^117,z^28,z^92,z^63,z^86,z^13,z^124,
  z^197,z^26,z^48,z^169,z^72,z^21,z^208,z^128,z^66,z^174,z^96,z^133,
  z^165,z^180,z^14,z^115,z^122,z^173,z^220,z^15,z^99,z^27,z^112,z^201,
  z^157,z^203,z^44,z^62,z^178,1,z^139,z^41,z^148,z^193,z^110,z^79,
  z^33,z^151,z^22,z^108,z^59,z^168,z^149,z^81,z^34,z^77,z^213,z^127,
  z^198,-1,z^91,z^43,z^217,z^209,z^107,z^46,z^30,z^223,z^185,z^36,
  z^153,z^214,z^67,z^105,z^155,z^25,z^129,z^106,z^50,z^202,z^90,z^162,
  z^138,z^166,z^101,z^189,z^135,z^184,z^194,z^80,z^78,z^68,z^51,z^45,
  z^87,z^116,z^98,z^196,z^154,z^53,z^19,z^150,z^71,z^215,z^52,z^31,
  z^57,z^160,z^219,z^179,z^85,z^10,z,z^84,z^210,z^60,z^73,z^109,z^74,
  z^7,z^3]) *
PermutationMat(
(  1, 38)(  2,166)(  3,125)(  4, 76)(  5,189)(  6,194)(  7,183)(  8,221)
(  9,136)( 10, 17)( 11, 82)( 12,131)( 13, 27)( 14,210)( 15,213)( 16,169)
( 18,100)( 19,129)( 20, 56)( 21,174)( 22, 34)( 23, 43)( 24,188)( 25, 86)
( 26,157)( 28, 37)( 29,110)( 30,105)( 31,118)( 32, 89)( 33,164)( 35, 94)
( 36,219)( 39,150)( 40,151)( 41, 68)( 42,116)( 44, 97)( 45,216)( 46,111)
( 47, 91)( 48,106)( 49,226)( 50,196)( 51, 75)( 52, 58)( 53,212)( 54,181)
( 55,225)( 57,120)( 59,178)( 60, 63)( 61,171)( 62,126)( 64,128)( 65,187)
( 66,103)( 67, 77)( 69,102)( 70,133)( 71,214)( 72,159)( 73,205)( 74,148)
( 78,198)( 79,144)( 80,161)( 81, 98)( 83,224)( 84,142)( 85,160)( 87,124)
( 88,121)( 90,172)( 92,109)( 93,146)( 95,208)( 96,155)( 99,143)(101,158)
(104,165)(107,192)(108,179)(112,218)(113,123)(114,186)(115,139)(117,211)
(119,202)(122,149)(127,130)(132,138)(134,170)(135,191)(137,204)(140,220)
(141,190)(145,200)(147,167)(152,228)(153,162)(154,197)(156,168)(163,177)
(173,180)(175,203)(176,206)(182,195)(184,222)(185,227)(193,209)(199,201)
(207,223)(215,217), 228)
,
DiagonalMat([z^102,z^48,z^76,z^11,z^99,z^45,z^94,z^104,z^216,z^214,
  z^204,z^187,z^181,z^223,z^26,z^8,z^106,z^64,z^189,z^155,z^60,z^207,
  z^125,z^188,z^167,z^193,z^70,z^129,z^89,z^221,z^146,z^137,z^220,
  z^120,z^196,z^209,z^19,z^210,z^143,z^51,z^121,z^145,z^87,z^114,z^224,
  z^165,z^29,z^97,z^82,z^69,z^73,z^178,z^218,z^206,z^62,z^212,z^116,
  z^50,z^219,z^126,z^156,z^159,z^211,z^141,z^86,z^66,z^185,z^21,z^52,
  z^139,z^36,z^33,z^7,z^13,z^93,z^57,z^101,z^56,z^91,z^10,z^3,z^28,
  z^30,z^132,z^44,z^12,z^175,z^55,z^74,z^128,z^197,z^144,z^140,z^109,
  z^201,z^31,z^96,z^191,z^40,z^183,z^194,z^153,z^47,z^42,z^54,z^68,
  z^225,z^134,z^192,z^81,z^53,z^110,z^85,z^14,z^105,z^171,z^205,z^168,
  z^154,z^77,z^176,z^92,z^100,z^174,z^41,z^80,z^20,z^142,z^115,z^135,
  z^71,z^152,z^4,z^98,z^131,z^5,z^46,z^173,z^190,z^160,z^117,z^122,
  z^138,z^147,z^148,z^35,z^24,z^200,z^27,z^164,z^2,z^199,z^222,z^149,
  z^34,z^107,z^162,z^184,z^79,z^208,z^157,z^118,z^38,z^202,z^84,z^6,
  z^43,z^75,z^90,z^150,z^25,z^32,z^83,z^130,z^151,z^9,z^163,z^22,z^111,
  z^67,-1,z^180,z^198,z^88,z^136,z^49,z^177,z^58,z^103,z^162,z^215,
  z^169,z^61,z^158,z^18,z^195,z^78,z^59,z^217,z^170,z^213,z^123,z^37,
  z^108,z^23,z,z^179,z^127,z^119,z^17,z^182,z^166,z^133,z^95,z^172,
  z^63,z^124,z^203,z^15,z^65,z^161,z^39,z^16,z^186,z^112,1,z^72,z^177
  ]) *
PermutationMat(
(  1,142,151)(  2, 69, 60)(  3, 73, 39)(  4, 66,154)(  5,127,156)(  6,189,197)
(  7, 71, 97)(  8,217, 45)(  9, 35, 99)( 10, 48, 64)( 11, 51, 87)( 12, 30, 85)
( 13,145,202)( 14,147,117)( 15,188,128)( 16, 88,177)( 17, 36, 32)( 18, 90,155)
( 19, 55, 95)( 20, 78,219)( 21, 76, 94)( 22,193,158)( 23,108, 26)( 24,119,112)
( 25,168, 38)( 27,146, 41)( 28, 86,113)( 29,210, 34)( 31,149,111)( 33,103, 67)
( 37,104, 46)( 40,102,178)( 42, 58, 96)( 43,201,132)( 44,226,225)( 47,159,162)
( 49,169,105)( 50,137,179)( 52,123,124)( 53,216,116)( 54,208,209)( 56,153,195)
( 57,227,163)( 59,170,173)( 61,115, 98)( 62,107,106)( 63,200,131)( 65,186, 79)
( 68,164, 81)( 70, 89, 74)( 72,122, 77)( 75,221,183)( 80,224, 83)( 82,220,213)
( 84,174,139)( 91,204,144)( 92,215,185)( 93,130,187)(100,135,143)(101,176,205)
(109,134,157)(110,196,121)(114,160,133)(118,148,165)(120,140,191)(125,207,166)
(126,138,152)(129,182,161)(136,222,211)(141,192,212)(150,203,171)(167,184,214)
(172,218,199)(175,198,223)(180,194,206)(181,190,228), 228)];

return result;