/*
www-ATLAS of Group Representations.
2.M22 represented as 28 x 28 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000340100400",
"1000000000000000000320320201",
"0001000000000000000210200401",
"0010000000000000000230030100",
"0000001000000000000000430100",
"0000000010000000000230100203",
"0000100000000000000030100401",
"0000000000010000000330420200",
"0000010000000000000230100203",
"0000000000000100000330100402",
"0000000000000001000120140000",
"0000000100000000000330420200",
"0000000000000000001110010000",
"0000000001000000000340040004",
"0000000000000000000311330201",
"0000000000100000000120140000",
"0000000000000000000410001202",
"0000000000000000000310310010",
"0000000000001000000110010000",
"0000000000000000000410440102",
"0000000000000000000030110403",
"0000000000000010000320220303",
"0000000000000000000010340102",
"0000000000000000000000040000",
"0000000000000000100410000202",
"0000000000000000000030220201",
"0000000000000000010310310000",
"0000000000000000000030220300"]);

y:=CambridgeMatrix(1,F,28,[
"4100332203231143322230224224",
"4244430211211120310421224201",
"4121012343142243440332013243",
"1301211431321114324120420234",
"4442124031203330420141102440",
"3410244220413201442314132210",
"4444041223013042302402341321",
"2420323003210414224204044400",
"4113110042440441314133121321",
"3401311201430020213422421112",
"0031422224404324404124231214",
"4332142214042213313133102313",
"4301004024112303300002433423",
"2442433210120440433123142333",
"2023101204342012302432022134",
"2043440444341233324133222223",
"3444234322100302011330340311",
"4000032343441142314433323013",
"4013133140040423414311103101",
"4132313224032421113303232041",
"3244310114040231322200121202",
"4343023400411021234413221314",
"1413422200413003041244210020",
"3430111004004410113341032043",
"1021410314110024441133200402",
"2133034241010433131441442311",
"0104300011000043203100030121",
"2012124132143310001442032031"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is 2.M22 < GL(28,GF(5))";