/* www-ATLAS of Group Representations. Sz(8) represented as 64 x 64 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000001", "0000000000000000000000000000000000000001000000000000000000000000", "4001566513121223662002604546420520643015261435003436403634505061", "2412210410005663632623631430533666554255543064114645452235266503", "0000000000000000000000000000000000000000010000000000000000000000", "5064002632614566423520146061146516264143565114210323125565332511", "0135412341362254235411504616254043401663221016352101511154525344", "1632311002406164644240455531142243133565635564521535355243254666", "0000000000000000000000000000000000000000000010000000000000000000", "3413616220340602203342035131051356126355323111341603131016230613", "0000000000000000000000000000000000000000000000100000000000000000", "2402636164006360002266455622553461462212130253643502223001305041", "0000000000000000000000000000000000000000000000001000000000000000", "5063443501043515220146102662415553640304641054466155615144351613", "0000000000000000000000000000000000000000000000000100000000000000"]); y:=CambridgeMatrix(1,F,64,[ "2600000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "1630500000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "4065016000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "4461300600050000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "2012400500030000000001000050000006000000000000000000000000000000", "0100002000500001060000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "3210200030000600000200000000000040000000006000000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000010", "2014160655300613215333402611216424606653651546424526023301103405", "0221634236664301523601365501064454403043146215356650346656620226", "3255316232644620210453335110112364012466013350102466201554463332", "2354530245532553252040440214415264346360664151620400023053602451", "0000000000000000000000000000000000000000100000000000000000000000", "1026006046262061121234511332406301453006616155053216634152403603", "6203006000200000040000000600000000000000000000000000000000000000", "2135641451502416452451266346550322066336110132220152224645136625", "4266203262662412435255464426642116645433625435244031334055523354", "3230611215132243451510356424451203453032253146552245524350034224", "1152136532662514416040054223310216530011346135226222551115334036", "0000000000000000000000000000000000000000000000010000000000000000", "0646413201106506530304326610602322121240316443224665510221062220", "0000000000000000000000000001000000000000000000000000000000000000", "0502630321640241224600644464464303213062002100162450555222500541"]); G:=MatrixGroup<64,F|x,y>; print "Group G is Sz(8) < GL(64,GF(7))";