/*
www-ATLAS of Group Representations.
2.A8 represented as 48 x 48 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,48,[
"010000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000001000000000000",
"000000100000000000000000000000000000000000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000010",
"000000001000000000000000000000000000000000000000",
"300022024333104004004034343123430334104141211324",
"201324444301022341123223100314434210202432232141",
"013241024001004400042414202310020404214321222210",
"341132424122410240220240301343302234204320042024",
"340330203122013134001224322234003231300303330320",
"100104003032133201101301000222133210242230442314",
"000000000010000000000000000000000000000000000000",
"332303203233404240121332021024111141403441103100",
"214443414234343412204221103124331442241221333244",
"014001410013014012044423144402344232043234011303",
"303014201422242024314242122334431143320444440433",
"432220003112044123440132121103000320341330114310",
"324234123410321132341411222231304030442300222313",
"000000000000100000000000000000000000000000000000",
"032123103132000304011003304421231113340030000033",
"203414120334404041141430334104324242211001304042",
"003422010410022044024302230241401041102132324223",
"000000000000010000000000000000000000000000000000",
"103123140132030133400134121213034314231111430022",
"404101411404210221410034021022313020410400210000",
"211040120042212004400400301043013034011134304001"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"044000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000000000000000000000000000001000000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000001",
"040411124323032022134334422204443402112412104100",
"110313001223414334211122444410320104041424434032",
"332334322333214410222341300111441342214432304021",
"144322134443124021422311202230020412300130022411",
"334442321410241214344204011302121201113320042301",
"043240413242234314130142341142302323240434143204",
"444443414331022113014221414104024202120320330444",
"411142322123144414411332024232023344331112033411",
"233202430241222114040444233143012113112041442411",
"403220400043004104033431311040243103404341424313",
"121004000010000000040000000000000000100000000000",
"030241400224331034312400102304243143142220012144",
"232104104310432423201210324304331014101134002024",
"123400201211410012213214422210010312334414334340",
"013120111221202402032424323302024204124000344311",
"240340244304403244002122232131111242104144104130",
"312003333203144201442301442121304431112413114113",
"240103232013211402412234214033024211113201434303",
"230402013232414303411320211013342241312323322230",
"312031421003143034211432320233101012302402303344",
"034010014233421042411243240410443033423144203344",
"411213200222122001132200240001433111003023130334"]);

G<x,y>:=MatrixGroup<48,F|x,y>;
print "Group G is 2.A8 < GL(48,GF(5))";