/*
www-ATLAS of Group Representations.
6.A7 represented as 24 x 24 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"000100000000000000000000",
"000001000000000000000000",
"100000000000000000000000",
"000000001000000000000000",
"000000000010000000000000",
"000000000000100000000000",
"000000000000001000000000",
"000000000000000010000000",
"000000000000000000100000",
"001000000000000000000000",
"000000000000000000001000",
"000000000000000000000100",
"046130622060405032134230",
"000000000000000000000001",
"455443226333426204620003",
"000010000000000000000000",
"146006606024644524060233",
"601163465256614562460665",
"442536125660645033236515",
"462022254300453646454514",
"000000100000000000000000",
"141616042205244550544345",
"000000010000000000000000"]);

y:=CambridgeMatrix(1,F,24,[
"001000000000000000000000",
"000010000000000000000000",
"000000100000000000000000",
"000000010000000000000000",
"000000000100000000000000",
"000000000001000000000000",
"000000000000010000000000",
"000000000000000100000000",
"000000000000000001000000",
"566005500106060000000000",
"000000000000000000010000",
"060006600006000000000000",
"000000000000000000000010",
"606000600000060000000000",
"612360524012465400563532",
"013414406416503626600022",
"024452246243564231260066",
"160526635503626403246362",
"122001104603625563303205",
"645044466033165560141320",
"526262553316301051403135",
"635453311411651216635212",
"243320536324366343665125",
"140513000326555011135214"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is 6.A7 < GL(24,GF(7))";