/*
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",
"303211220200112200300200",
"000000000000000000000001",
"000000000000100000000000",
"102221123321111122310021",
"000000000000001000000000",
"021211330310210030301000",
"033233001321001012203212",
"000000000000000001000000"]);

y:=CambridgeMatrix(1,F,24,[
"220000000000000000000000",
"001000000000000000000000",
"000010000000000000000000",
"000001000000000000000000",
"213020000000000000000000",
"000000001000000000000000",
"000000000100000000000000",
"000000000010000000000000",
"000000000000100000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000000000000001000000",
"000100000000000000000000",
"000000000000000000010000",
"000000000000000000000100",
"302230020210130020303000",
"000000000000000000000010",
"332010003000002000003000",
"032231301220120301321320",
"212211001231031233210112",
"320012031221210101302130",
"000000100000000000000000",
"000000010000000000000000",
"033303200220020312033210"]);

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