/*
www-ATLAS of Group Representations.
3.L3(4) represented as 24 x 24 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"100000000000000000000000",
"000100000000000000000000",
"001000000000000000000000",
"000000100000000000000000",
"000000010000000000000000",
"000010000000000000000000",
"000001000000000000000000",
"000000000001000000000000",
"000000000000010000000000",
"000000000000000100000000",
"000000001000000000000000",
"000000000000000000100000",
"000000000100000000000000",
"000000000000000000001000",
"000000000010000000000000",
"000012101012203030211100",
"212012123311333111332220",
"000000000000100000000000",
"302020221000303130330320",
"000000000000001000000000",
"302001000030000000000020",
"020100030000000200000300",
"300032203302111113021101"]);

y:=CambridgeMatrix(1,F,24,[
"001000000000000000000000",
"201000000000000000000000",
"000010000000000000000000",
"000001000000000000000000",
"330000000000000000000000",
"000000001000000000000000",
"000000000100000000000000",
"000000000010000000000000",
"000000000000100000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000000000000001000000",
"000100000000000000000000",
"000000000000000000010000",
"000000000000000000000100",
"000000000000000000000010",
"000000000000000000000001",
"000000000001000000000000",
"101212301211103213132200",
"111103002011202221103013",
"331123203132332132110300",
"000000100000000000000000",
"211322331130213102131310",
"000000010000000000000000"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is 3.L3(4) < GL(24,GF(4))";