/*
www-ATLAS of Group Representations.
12b.L3(4):2a represented as 24 x 24 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,24,[
"600000000000000000000000",
"001000000000000000000000",
"010000000000000000000000",
"000010000000000000000000",
"000100000000000000000000",
"000000010000000000000000",
"000000000100000000000000",
"000001000000000000000000",
"000000000000100000000000",
"000000100000000000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000001000000000000000",
"000000000000000000010000",
"000000000010000000000000",
"000000000000000000000010",
"000000000001000000000000",
"501241434205030020603013",
"636350223462364322033310",
"000000000000010000000000",
"506053261521432124051433",
"354435160062213133104302",
"000000000000000100000000",
"133233560206564244020424"]);

y:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"600000000000000000000000",
"000100000000000000000000",
"000001000000000000000000",
"000000100000000000000000",
"000000001000000000000000",
"000000000010000000000000",
"000000000001000000000000",
"001000000000000000000000",
"000000000000010000000000",
"000000000000000100000000",
"000000000000000001000000",
"000000000000000000100000",
"000000000000000000001000",
"000000000000000000000100",
"000010000000000000000000",
"000000000000000000000001",
"125340326660351550550416",
"422330211656602664154365",
"000000000000200000000000",
"003564433541514641100130",
"665521446253303300342111",
"162025206553365113000324",
"163525460145656032665213"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is 12b.L3(4):2a < GL(24,GF(7))";