Finite Group Databasebeta

← Group #4606

Character table — Group #4606

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222222222222888811112222222222222288881111222222222222228888
order12442488881616161616161616248836121261224242424484848484848484861224243612126122424242448484848484848486122424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1
χ31111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ41111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ511-1-1-1111-1-1iiii−i−i−i−i1-1i−i11-1-1-1111-1-1iiii−i−i−i−i1-1i−i11-1-1-1111-1-1iiii−i−i−i−i1-1i−i
χ611-1-1-1111-1-1iiii−i−i−i−i-11−ii11-1-1-1111-1-1iiii−i−i−i−i-11−ii11-1-1-1111-1-1iiii−i−i−i−i-11−ii
χ711-1-1-1111-1-1−i−i−i−iiiii1-1−ii11-1-1-1111-1-1−i−i−i−iiiii1-1−ii11-1-1-1111-1-1−i−i−i−iiiii1-1−ii
χ811-1-1-1111-1-1−i−i−i−iiiii-11i−i11-1-1-1111-1-1−i−i−i−iiiii-11i−i11-1-1-1111-1-1−i−i−i−iiiii-11i−i
χ9222222-2-2-2-2000000000000222222-2-2-2-2000000000000222222-2-2-2-2000000000000
χ102222-2-2000022−2−222−2−200002222-2-2000022−2−222−2−200002222-2-2000022−2−222−2−20000
χ112222-2-20000−2−222−2−22200002222-2-20000−2−222−2−22200002222-2-20000−2−222−2−2220000
χ1222-2-22-20000i2i2−i2−i2−i2−i2i2i2000022-2-22-20000i2i2−i2−i2−i2−i2i2i2000022-2-22-20000i2i2−i2−i2−i2−i2i2i20000
χ1322-2-22-20000−i2−i2i2i2i2i2−i2−i2000022-2-22-20000−i2−i2i2i2i2i2−i2−i2000022-2-22-20000−i2−i2i2i2i2i2−i2−i20000
χ1422-2-2-22-2-22200000000000022-2-2-22-2-22200000000000022-2-2-22-2-222000000000000
χ152-22i−2i002−2i2−i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ4300002-22i−2i002−2i2−i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ4300002-22i−2i002−2i2−i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ430000
χ162-22i−2i002−2i2−i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ4300002-22i−2i002−2i2−i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ4300002-22i−2i002−2i2−i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ430000
χ172-22i−2i00−22−i2i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ4700002-22i−2i00−22−i2i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ4700002-22i−2i00−22−i2i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ470000
χ182-22i−2i00−22−i2i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ4700002-22i−2i00−22−i2i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ4700002-22i−2i00−22−i2i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ470000
χ192-2−2i2i002−2−i2i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ4700002-2−2i2i002−2−i2i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ4700002-2−2i2i002−2−i2i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ470000
χ202-2−2i2i002−2−i2i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ4700002-2−2i2i002−2−i2i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ4700002-2−2i2i002−2−i2i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ470000
χ212-2−2i2i00−22i2−i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ4300002-2−2i2i00−22i2−i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ4300002-2−2i2i00−22i2−i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ430000
χ222-2−2i2i00−22i2−i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ4300002-2−2i2i00−22i2−i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ4300002-2−2i2i00−22i2−i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ430000
χ231111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ24111111111111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ251111111111-1-1-1-1-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ261111111111-1-1-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ2711-1-1-1111-1-1iiii−i−i−i−i1-1i−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28−1+i321−i32ζ28−ζ28−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44−1−i321+i32ζ44−ζ44
χ2811-1-1-1111-1-1iiii−i−i−i−i-11−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ281−i32−1+i32−ζ28ζ28−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ441+i32−1−i32−ζ44ζ44
χ2911-1-1-1111-1-1−i−i−i−iiiii1-1−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−1+i321−i32−ζ28ζ28−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−1−i321+i32−ζ44ζ44
χ3011-1-1-1111-1-1−i−i−i−iiiii-11i−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ281−i32−1+i32ζ28−ζ28−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ441+i32−1−i32ζ44−ζ44
χ31222222-2-2-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000
χ322222-2-2000022−2−222−2−20000−1+i3−1+i3−1+i3−1+i31−i31−i30000ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ460000−1−i3−1−i3−1−i3−1−i31+i31+i30000−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ260000
χ332222-2-20000−2−222−2−2220000−1+i3−1+i3−1+i3−1+i31−i31−i30000−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ460000−1−i3−1−i3−1−i3−1−i31+i31+i30000ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ260000
χ3422-2-22-20000i2i2−i2−i2−i2−i2i2i20000−1+i3−1+i31−i31−i3−1+i31−i30000−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ46ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ460000−1−i3−1−i31+i31+i3−1−i31+i30000−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ260000
χ3522-2-22-20000−i2−i2i2i2i2i2−i2−i20000−1+i3−1+i31−i31−i3−1+i31−i30000ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ46−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ460000−1−i3−1−i31+i31+i3−1−i31+i30000ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ260000
χ3622-2-2-22-2-222000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000
χ372-22i−2i002−2i2−i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ430000−1+i31−i32ζ28−2ζ2800ζ10−ζ46−ζ10+ζ46−ζ10−ζ46ζ10+ζ46ζ25−ζ43−ζ25+ζ43ζ13+ζ31−ζ13−ζ31−ζ13+ζ31ζ13−ζ31−ζ25−ζ43ζ25+ζ430000−1−i31+i32ζ44−2ζ4400−ζ14+ζ26ζ14−ζ26−ζ14−ζ26ζ14+ζ26−ζ11+ζ41ζ11−ζ41ζ29+ζ47−ζ29−ζ47−ζ29+ζ47ζ29−ζ47−ζ11−ζ41ζ11+ζ410000
χ382-22i−2i002−2i2−i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ430000−1+i31−i32ζ28−2ζ2800ζ10−ζ46−ζ10+ζ46−ζ10−ζ46ζ10+ζ46−ζ25+ζ43ζ25−ζ43−ζ13−ζ31ζ13+ζ31ζ13−ζ31−ζ13+ζ31ζ25+ζ43−ζ25−ζ430000−1−i31+i32ζ44−2ζ4400−ζ14+ζ26ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ11−ζ41−ζ11+ζ41−ζ29−ζ47ζ29+ζ47ζ29−ζ47−ζ29+ζ47ζ11+ζ41−ζ11−ζ410000
χ392-22i−2i00−22−i2i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ470000−1+i31−i32ζ28−2ζ2800−ζ10+ζ46ζ10−ζ46ζ10+ζ46−ζ10−ζ46ζ13+ζ31−ζ13−ζ31−ζ25+ζ43ζ25−ζ43ζ25+ζ43−ζ25−ζ43−ζ13+ζ31ζ13−ζ310000−1−i31+i32ζ44−2ζ4400ζ14−ζ26−ζ14+ζ26ζ14+ζ26−ζ14−ζ26ζ29+ζ47−ζ29−ζ47ζ11−ζ41−ζ11+ζ41ζ11+ζ41−ζ11−ζ41−ζ29+ζ47ζ29−ζ470000
χ402-22i−2i00−22−i2i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ470000−1+i31−i32ζ28−2ζ2800−ζ10+ζ46ζ10−ζ46ζ10+ζ46−ζ10−ζ46−ζ13−ζ31ζ13+ζ31ζ25−ζ43−ζ25+ζ43−ζ25−ζ43ζ25+ζ43ζ13−ζ31−ζ13+ζ310000−1−i31+i32ζ44−2ζ4400ζ14−ζ26−ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ29−ζ47ζ29+ζ47−ζ11+ζ41ζ11−ζ41−ζ11−ζ41ζ11+ζ41ζ29−ζ47−ζ29+ζ470000
χ412-2−2i2i002−2−i2i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ470000−1+i31−i3−2ζ282ζ2800ζ10−ζ46−ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ13+ζ31ζ13−ζ31ζ25+ζ43−ζ25−ζ43ζ25−ζ43−ζ25+ζ43−ζ13−ζ31ζ13+ζ310000−1−i31+i3−2ζ442ζ4400−ζ14+ζ26ζ14−ζ26ζ14+ζ26−ζ14−ζ26−ζ29+ζ47ζ29−ζ47ζ11+ζ41−ζ11−ζ41−ζ11+ζ41ζ11−ζ41−ζ29−ζ47ζ29+ζ470000
χ422-2−2i2i002−2−i2i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ470000−1+i31−i3−2ζ282ζ2800ζ10−ζ46−ζ10+ζ46ζ10+ζ46−ζ10−ζ46ζ13−ζ31−ζ13+ζ31−ζ25−ζ43ζ25+ζ43−ζ25+ζ43ζ25−ζ43ζ13+ζ31−ζ13−ζ310000−1−i31+i3−2ζ442ζ4400−ζ14+ζ26ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ29−ζ47−ζ29+ζ47−ζ11−ζ41ζ11+ζ41ζ11−ζ41−ζ11+ζ41ζ29+ζ47−ζ29−ζ470000
χ432-2−2i2i00−22i2−i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ430000−1+i31−i3−2ζ282ζ2800−ζ10+ζ46ζ10−ζ46−ζ10−ζ46ζ10+ζ46−ζ25−ζ43ζ25+ζ43−ζ13+ζ31ζ13−ζ31−ζ13−ζ31ζ13+ζ31−ζ25+ζ43ζ25−ζ430000−1−i31+i3−2ζ442ζ4400ζ14−ζ26−ζ14+ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ41ζ11+ζ41−ζ29+ζ47ζ29−ζ47−ζ29−ζ47ζ29+ζ47ζ11−ζ41−ζ11+ζ410000
χ442-2−2i2i00−22i2−i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ430000−1+i31−i3−2ζ282ζ2800−ζ10+ζ46ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ25+ζ43−ζ25−ζ43ζ13−ζ31−ζ13+ζ31ζ13+ζ31−ζ13−ζ31ζ25−ζ43−ζ25+ζ430000−1−i31+i3−2ζ442ζ4400ζ14−ζ26−ζ14+ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ41−ζ11−ζ41ζ29−ζ47−ζ29+ζ47ζ29+ζ47−ζ29−ζ47−ζ11+ζ41ζ11−ζ410000
χ451111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ46111111111111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ471111111111-1-1-1-1-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ481111111111-1-1-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ4911-1-1-1111-1-1iiii−i−i−i−i1-1i−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44−1−i321+i32ζ44−ζ44−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28−1+i321−i32ζ28−ζ28
χ5011-1-1-1111-1-1iiii−i−i−i−i-11−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ441+i32−1−i32−ζ44ζ44−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ281−i32−1+i32−ζ28ζ28
χ5111-1-1-1111-1-1−i−i−i−iiiii1-1−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−1−i321+i32−ζ44ζ44−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−1+i321−i32−ζ28ζ28
χ5211-1-1-1111-1-1−i−i−i−iiiii-11i−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ441+i32−1−i32ζ44−ζ44−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ281−i32−1+i32ζ28−ζ28
χ53222222-2-2-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000
χ542222-2-2000022−2−222−2−20000−1−i3−1−i3−1−i3−1−i31+i31+i30000−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ260000−1+i3−1+i3−1+i3−1+i31−i31−i30000ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ460000
χ552222-2-20000−2−222−2−2220000−1−i3−1−i3−1−i3−1−i31+i31+i30000ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ260000−1+i3−1+i3−1+i3−1+i31−i31−i30000−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ460000
χ5622-2-22-20000i2i2−i2−i2−i2−i2i2i20000−1−i3−1−i31+i31+i3−1−i31+i30000−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ26ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ260000−1+i3−1+i31−i31−i3−1+i31−i30000−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ46ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ460000
χ5722-2-22-20000−i2−i2i2i2i2i2−i2−i20000−1−i3−1−i31+i31+i3−1−i31+i30000ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ14+ζ260000−1+i3−1+i31−i31−i3−1+i31−i30000ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ10−ζ46−ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ10+ζ460000
χ5822-2-2-22-2-222000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3000000000000
χ592-22i−2i002−2i2−i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ430000−1−i31+i32ζ44−2ζ4400−ζ14+ζ26ζ14−ζ26−ζ14−ζ26ζ14+ζ26−ζ11+ζ41ζ11−ζ41ζ29+ζ47−ζ29−ζ47−ζ29+ζ47ζ29−ζ47−ζ11−ζ41ζ11+ζ410000−1+i31−i32ζ28−2ζ2800ζ10−ζ46−ζ10+ζ46−ζ10−ζ46ζ10+ζ46ζ25−ζ43−ζ25+ζ43ζ13+ζ31−ζ13−ζ31−ζ13+ζ31ζ13−ζ31−ζ25−ζ43ζ25+ζ430000
χ602-22i−2i002−2i2−i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ430000−1−i31+i32ζ44−2ζ4400−ζ14+ζ26ζ14−ζ26−ζ14−ζ26ζ14+ζ26ζ11−ζ41−ζ11+ζ41−ζ29−ζ47ζ29+ζ47ζ29−ζ47−ζ29+ζ47ζ11+ζ41−ζ11−ζ410000−1+i31−i32ζ28−2ζ2800ζ10−ζ46−ζ10+ζ46−ζ10−ζ46ζ10+ζ46−ζ25+ζ43ζ25−ζ43−ζ13−ζ31ζ13+ζ31ζ13−ζ31−ζ13+ζ31ζ25+ζ43−ζ25−ζ430000
χ612-22i−2i00−22−i2i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ470000−1−i31+i32ζ44−2ζ4400ζ14−ζ26−ζ14+ζ26ζ14+ζ26−ζ14−ζ26ζ29+ζ47−ζ29−ζ47ζ11−ζ41−ζ11+ζ41ζ11+ζ41−ζ11−ζ41−ζ29+ζ47ζ29−ζ470000−1+i31−i32ζ28−2ζ2800−ζ10+ζ46ζ10−ζ46ζ10+ζ46−ζ10−ζ46ζ13+ζ31−ζ13−ζ31−ζ25+ζ43ζ25−ζ43ζ25+ζ43−ζ25−ζ43−ζ13+ζ31ζ13−ζ310000
χ622-22i−2i00−22−i2i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ470000−1−i31+i32ζ44−2ζ4400ζ14−ζ26−ζ14+ζ26ζ14+ζ26−ζ14−ζ26−ζ29−ζ47ζ29+ζ47−ζ11+ζ41ζ11−ζ41−ζ11−ζ41ζ11+ζ41ζ29−ζ47−ζ29+ζ470000−1+i31−i32ζ28−2ζ2800−ζ10+ζ46ζ10−ζ46ζ10+ζ46−ζ10−ζ46−ζ13−ζ31ζ13+ζ31ζ25−ζ43−ζ25+ζ43−ζ25−ζ43ζ25+ζ43ζ13−ζ31−ζ13+ζ310000
χ632-2−2i2i002−2−i2i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ470000−1−i31+i3−2ζ442ζ4400−ζ14+ζ26ζ14−ζ26ζ14+ζ26−ζ14−ζ26−ζ29+ζ47ζ29−ζ47ζ11+ζ41−ζ11−ζ41−ζ11+ζ41ζ11−ζ41−ζ29−ζ47ζ29+ζ470000−1+i31−i3−2ζ282ζ2800ζ10−ζ46−ζ10+ζ46ζ10+ζ46−ζ10−ζ46−ζ13+ζ31ζ13−ζ31ζ25+ζ43−ζ25−ζ43ζ25−ζ43−ζ25+ζ43−ζ13−ζ31ζ13+ζ310000
χ642-2−2i2i002−2−i2i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ470000−1−i31+i3−2ζ442ζ4400−ζ14+ζ26ζ14−ζ26ζ14+ζ26−ζ14−ζ26ζ29−ζ47−ζ29+ζ47−ζ11−ζ41ζ11+ζ41ζ11−ζ41−ζ11+ζ41ζ29+ζ47−ζ29−ζ470000−1+i31−i3−2ζ282ζ2800ζ10−ζ46−ζ10+ζ46ζ10+ζ46−ζ10−ζ46ζ13−ζ31−ζ13+ζ31−ζ25−ζ43ζ25+ζ43−ζ25+ζ43ζ25−ζ43ζ13+ζ31−ζ13−ζ310000
χ652-2−2i2i00−22i2−i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ430000−1−i31+i3−2ζ442ζ4400ζ14−ζ26−ζ14+ζ26−ζ14−ζ26ζ14+ζ26−ζ11−ζ41ζ11+ζ41−ζ29+ζ47ζ29−ζ47−ζ29−ζ47ζ29+ζ47ζ11−ζ41−ζ11+ζ410000−1+i31−i3−2ζ282ζ2800−ζ10+ζ46ζ10−ζ46−ζ10−ζ46ζ10+ζ46−ζ25−ζ43ζ25+ζ43−ζ13+ζ31ζ13−ζ31−ζ13−ζ31ζ13+ζ31−ζ25+ζ43ζ25−ζ430000
χ662-2−2i2i00−22i2−i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ430000−1−i31+i3−2ζ442ζ4400ζ14−ζ26−ζ14+ζ26−ζ14−ζ26ζ14+ζ26ζ11+ζ41−ζ11−ζ41ζ29−ζ47−ζ29+ζ47ζ29+ζ47−ζ29−ζ47−ζ11+ζ41ζ11−ζ410000−1+i31−i3−2ζ282ζ2800−ζ10+ζ46ζ10−ζ46−ζ10−ζ46ζ10+ζ46ζ25+ζ43−ζ25−ζ43ζ13−ζ31−ζ13+ζ31ζ13+ζ31−ζ13−ζ31ζ25−ζ43−ζ25+ζ430000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.