local z, r, result;

result := rec();

result.comment := "2.L2(223) as 224 x 224 monomial matrices over Z(z222)\n";

# Change the value of r to any number between 1 and 55
# to get the complete set of inequivalent faithful irreducible 224-dimensional
# representations of 2.L2(223)
r := 1;
z := E(222)^(2*r-1);

result.symmetricforms := [ ]; 
result.antisymmetricforms := [ ]; 
result.hermitianforms := [ IdentityMat(224) ];
result.centralizeralgebra := [ IdentityMat(224) ];

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

return result;