/*
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",
"024000000000000000000000000000000000000000000000",
"443000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000001000000000000",
"000000100000000000000000000000000000000000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000001000",
"421141342133344200303030040200000300000030000000",
"000000000000000000000000000000000000000000000001",
"000000001000000000000000000000000000000000000000",
"013111000044010024330443431143212210242341441341",
"002102344023442404242104034331114041203233124410",
"311423103413400043114002324042012000030422431041",
"131400340333342013342144034432104141203223124410",
"241132034120430440004430432013411442441240001131",
"000000000010000000000000000000000000000000000000",
"030010212110333443023313122102341424133001142214",
"131011302423202214232134034132114040203213124410",
"332041140302423134033440332212142301202044201134",
"132110124224322410211003021343404201133021244313",
"342202300203100000003410000000000000004010000000",
"330134441313224241020004111410324144404314434441",
"000000000000100000000000000000000000000000000000",
"304332231320113303221043222301211222221140121410",
"001432002130301232322311042441332223104104212230",
"033042042444422120213244223214321321321402140134",
"211120430214033041110441421123441314302312430140",
"332404330010444440034202404011140204441044311241",
"222000322221214242003142010242014322013304113420",
"343321442004041232021332041441332423104124312234"]);

y:=CambridgeMatrix(1,F,48,[
"001000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000000000000000000000000000001000000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000010",
"431300300221120302044203032211323220334202102143",
"300411140300420110432443133204233432421401240320",
"121443004442213204414114302134232144322341001042",
"013411423341001422134132113242132022413334140102",
"110231420001413021142430222242334024324331404404",
"333033442424024223402044242320303021433333121223",
"432011220344444131202104324331233333101100002344",
"444422204103014030000120311313422233411220001031",
"203131202124200113143132331331223240044120044413",
"433332211020224422030440124410410200303114013131",
"332010221102213120030424141033120322031402110243",
"011342404214130002101003401330113231313413024343",
"433303401042422122023434342132024024003110340304",
"410032134402020331310401302033013322324400003122",
"103330240212000232402232410330032213203340243332",
"340211014304102034430004032302343414333102140143",
"304333031441112334422323111130404314033444141344",
"041430232400221220201144232400000440440044413443",
"212444101310021013044312004003441033314214213132",
"333430402412241312240004401130432233140302411043",
"213301103123032100334311342434123014242224003324",
"033203121031414300241301023012422214022413322242"]);

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