Finite Group Databasebeta

← Group #13138725

Character table — Group #13138725

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size112222222222266661212121212121212121212121212181818181818181818181818727272727272112222222222266661212121212121212121212121212181818181818181818181818727272727272
order1234688121224242424336636121212122424242424242424161616164848484848484848441212121222646881212242424246666661212121224242424242424241616161648484848484848484412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ522222222222222-12-1-1-12-1-1-122-1-1-1-1-1-10000000000000200-1-122222222222222-12-1-1-12-1-1-122-1-1-1-1-1-10000000000000200-1-1
χ622222222222222-12-1-1-12-1-1-122-1-1-1-1-1-10000000000000-2001122222222222222-12-1-1-12-1-1-122-1-1-1-1-1-10000000000000-20011
χ72222222222222-12-12-1-1-12-1-1-1-122-1-1-1-100000000000020-1-1002222222222222-12-12-1-1-12-1-1-1-122-1-1-1-100000000000020-1-100
χ82222222222222-12-12-1-1-12-1-1-1-122-1-1-1-1000000000000-2011002222222222222-12-12-1-1-12-1-1-1-122-1-1-1-1000000000000-201100
χ922222-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-200000000000000000022222-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2000000000000000000
χ1022222-2-222-2-2-2-22-12-1-1-12-1-1-1-2-21111110000000000000000−i3i322222-2-222-2-2-2-22-12-1-1-12-1-1-1-2-21111110000000000000000−i3i3
χ1122222-2-222-2-2-2-22-12-1-1-12-1-1-1-2-21111110000000000000000i3−i322222-2-222-2-2-2-22-12-1-1-12-1-1-1-2-21111110000000000000000i3−i3
χ1222222-2-222-2-2-2-2-12-12-1-1-12-1-111-2-2111100000000000000−i3i30022222-2-222-2-2-2-2-12-12-1-1-12-1-111-2-2111100000000000000−i3i300
χ1322222-2-222-2-2-2-2-12-12-1-1-12-1-111-2-2111100000000000000i3−i30022222-2-222-2-2-2-2-12-12-1-1-12-1-111-2-2111100000000000000i3−i300
χ14222-2200-2-20000222222-2-2-2-20000000022−2−22222−2−2−2−2000000222-2200-2-20000222222-2-2-2-20000000022−2−22222−2−2−2−2000000
χ15222-2200-2-20000222222-2-2-2-200000000−2−222−2−2−2−22222000000222-2200-2-20000222222-2-2-2-200000000−2−222−2−2−2−22222000000
χ162-220-22−20022−2−222-2-22-200002−22−222−2−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ430000002-220-22−20022−2−222-2-22-200002−22−222−2−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43000000
χ172-220-22−20022−2−222-2-22-200002−22−222−2−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ430000002-220-22−20022−2−222-2-22-200002−22−222−2−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43000000
χ182-220-2−2200−2−22222-2-22-20000−22−22−2−222ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ470000002-220-2−2200−2−22222-2-22-20000−22−22−2−222ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47000000
χ192-220-2−2200−2−22222-2-22-20000−22−22−2−222−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ470000002-220-2−2200−2−22222-2-22-20000−22−22−2−222−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47000000
χ204444444444444-2-2-2-211-2-211-2-2-2-211110000000000000000004444444444444-2-2-2-211-2-211-2-2-2-21111000000000000000000
χ2144444-4-444-4-4-4-4-2-2-2-211-2-2112222-1-1-1-100000000000000000044444-4-444-4-4-4-4-2-2-2-211-2-2112222-1-1-1-1000000000000000000
χ22444-4400-4-400004-24-2-2-2-422200000000000000000000000000444-4400-4-400004-24-2-2-2-422200000000000000000000000000
χ23444-4400-4-40000-24-24-2-22-42200000000000000000000000000444-4400-4-40000-24-24-2-22-42200000000000000000000000000
χ24444-4400-4-40000-2-2-2-21122-1-100003i−3i3i−3i000000000000000000444-4400-4-40000-2-2-2-21122-1-100003i−3i3i−3i000000000000000000
χ25444-4400-4-40000-2-2-2-21122-1-10000−3i3i−3i3i000000000000000000444-4400-4-40000-2-2-2-21122-1-10000−3i3i−3i3i000000000000000000
χ264-440-422−22002222−22−224-2-42-22000022−22−22−2−2220000000000000000004-440-422−22002222−22−224-2-42-22000022−22−22−2−222000000000000000000
χ274-440-422−22002222−22−22-242-4-220000−2222−22−2−2220000000000000000004-440-422−22002222−22−22-242-4-220000−2222−22−2−222000000000000000000
χ284-440-422−22002222−22−22-2-2221-1003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ460000000000000000004-440-422−22002222−22−22-2-2221-1003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46000000000000000000
χ294-440-422−22002222−22−22-2-2221-100−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ460000000000000000004-440-422−22002222−22−22-2-2221-100−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46000000000000000000
χ304-440-4−222200−22−2222224-2-42-220000−22222−222−2−20000000000000000004-440-4−222200−22−2222224-2-42-220000−22222−222−2−2000000000000000000
χ314-440-4−222200−22−222222-242-4-2200002−2−222222−2−20000000000000000004-440-4−222200−22−222222-242-4-2200002−2−222222−2−2000000000000000000
χ324-440-4−222200−22−222222-2-2221-1003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460000000000000000004-440-4−222200−22−222222-2-2221-1003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46000000000000000000
χ334-440-4−222200−22−222222-2-2221-100−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460000000000000000004-440-4−222200−22−222222-2-2221-100−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46000000000000000000
χ3466-36-366-3-3-3-3-3-30000000000000000002222-1-1-1-1-1-1-1-100000066-36-366-3-3-3-3-3-30000000000000000002222-1-1-1-1-1-1-1-1000000
χ3566-36-366-3-3-3-3-3-3000000000000000000-2-2-2-21111111100000066-36-366-3-3-3-3-3-3000000000000000000-2-2-2-211111111000000
χ3666-36-3-6-6-3-3333300000000000000000000003−33−33−33−300000066-36-3-6-6-3-3333300000000000000000000003−33−33−33−3000000
χ3766-36-3-6-6-3-333330000000000000000000000−33−33−33−3300000066-36-3-6-6-3-333330000000000000000000000−33−33−33−33000000
χ3866-3-6-3003333−3333−3300000000000000000022−2−2ζ10−ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ4600000066-3-6-3003333−3333−3300000000000000000022−2−2ζ10−ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46000000
χ3966-3-6-3003333−3333−33000000000000000000−2−222−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ4600000066-3-6-3003333−3333−33000000000000000000−2−222−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46000000
χ4066-3-6-30033−3333−333300000000000000000022−2−2ζ26−ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ1400000066-3-6-30033−3333−333300000000000000000022−2−2ζ26−ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14000000
χ4166-3-6-30033−3333−3333000000000000000000−2−222−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ1400000066-3-6-30033−3333−3333000000000000000000−2−222−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14000000
χ426-6-30332−3233−333ζ10−3ζ143ζ26−3ζ46−3ζ10+3ζ14−3ζ26+3ζ46000000000000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ47−ζ31+ζ41−ζ25+ζ47ζ31−ζ41−ζ11+ζ13ζ29−ζ43ζ11−ζ13−ζ29+ζ430000006-6-30332−3233−333ζ10−3ζ143ζ26−3ζ46−3ζ10+3ζ14−3ζ26+3ζ46000000000000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ47−ζ31+ζ41−ζ25+ζ47ζ31−ζ41−ζ11+ζ13ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ436-6-30332−3233−333ζ10−3ζ143ζ26−3ζ46−3ζ10+3ζ14−3ζ26+3ζ46000000000000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ47ζ31−ζ41ζ25−ζ47−ζ31+ζ41ζ11−ζ13−ζ29+ζ43−ζ11+ζ13ζ29−ζ430000006-6-30332−3233−333ζ10−3ζ143ζ26−3ζ46−3ζ10+3ζ14−3ζ26+3ζ46000000000000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ47ζ31−ζ41ζ25−ζ47−ζ31+ζ41ζ11−ζ13−ζ29+ζ43−ζ11+ζ13ζ29−ζ43000000
χ446-6-30332−32−33333ζ26−3ζ463ζ10−3ζ14−3ζ26+3ζ46−3ζ10+3ζ14000000000000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ31+ζ41ζ25−ζ47ζ31−ζ41−ζ25+ζ47ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ130000006-6-30332−32−33333ζ26−3ζ463ζ10−3ζ14−3ζ26+3ζ46−3ζ10+3ζ14000000000000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ31+ζ41ζ25−ζ47ζ31−ζ41−ζ25+ζ47ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13000000
χ456-6-30332−32−33333ζ26−3ζ463ζ10−3ζ14−3ζ26+3ζ46−3ζ10+3ζ14000000000000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ31−ζ41−ζ25+ζ47−ζ31+ζ41ζ25−ζ47−ζ29+ζ43ζ11−ζ13ζ29−ζ43−ζ11+ζ130000006-6-30332−32−33333ζ26−3ζ463ζ10−3ζ14−3ζ26+3ζ46−3ζ10+3ζ14000000000000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ31−ζ41−ζ25+ζ47−ζ31+ζ41ζ25−ζ47−ζ29+ζ43ζ11−ζ13ζ29−ζ43−ζ11+ζ13000000
χ466-6-303−323233−33−3ζ10+3ζ14−3ζ26+3ζ463ζ10−3ζ143ζ26−3ζ46000000000000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ47ζ31−ζ41ζ25−ζ47−ζ31+ζ410000006-6-303−323233−33−3ζ10+3ζ14−3ζ26+3ζ463ζ10−3ζ143ζ26−3ζ46000000000000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ47ζ31−ζ41ζ25−ζ47−ζ31+ζ41000000
χ476-6-303−323233−33−3ζ10+3ζ14−3ζ26+3ζ463ζ10−3ζ143ζ26−3ζ46000000000000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13ζ29−ζ43ζ25−ζ47−ζ31+ζ41−ζ25+ζ47ζ31−ζ410000006-6-303−323233−33−3ζ10+3ζ14−3ζ26+3ζ463ζ10−3ζ143ζ26−3ζ46000000000000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13ζ29−ζ43ζ25−ζ47−ζ31+ζ41−ζ25+ζ47ζ31−ζ41000000
χ486-6-303−3232−3333−3ζ26+3ζ46−3ζ10+3ζ143ζ26−3ζ463ζ10−3ζ14000000000000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13ζ31−ζ41−ζ25+ζ47−ζ31+ζ41ζ25−ζ470000006-6-303−3232−3333−3ζ26+3ζ46−3ζ10+3ζ143ζ26−3ζ463ζ10−3ζ14000000000000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13ζ31−ζ41−ζ25+ζ47−ζ31+ζ41ζ25−ζ47000000
χ496-6-303−3232−3333−3ζ26+3ζ46−3ζ10+3ζ143ζ26−3ζ463ζ10−3ζ14000000000000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ29+ζ43ζ11−ζ13ζ29−ζ43−ζ11+ζ13−ζ31+ζ41ζ25−ζ47ζ31−ζ41−ζ25+ζ470000006-6-303−3232−3333−3ζ26+3ζ46−3ζ10+3ζ143ζ26−3ζ463ζ10−3ζ14000000000000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ29+ζ43ζ11−ζ13ζ29−ζ43−ζ11+ζ13−ζ31+ζ41ζ25−ζ47ζ31−ζ41−ζ25+ζ47000000
χ501111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ521111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-111
χ531111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1
χ5422222222222222-12-1-1-12-1-1-122-1-1-1-1-1-10000000000000200-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2111-2111-2-21111110000000000000-20011
χ5522222222222222-12-1-1-12-1-1-122-1-1-1-1-1-10000000000000-20011-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2111-2111-2-21111110000000000000200-1-1
χ562222222222222-12-12-1-1-12-1-1-1-122-1-1-1-100000000000020-1-100-2-2-2-2-2-2-2-2-2-2-2-2-21-21-2111-21111-2-21111000000000000-201100
χ572222222222222-12-12-1-1-12-1-1-1-122-1-1-1-1000000000000-201100-2-2-2-2-2-2-2-2-2-2-2-2-21-21-2111-21111-2-2111100000000000020-1-100
χ5822222-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-222222222000000000000000000
χ5922222-2-222-2-2-2-22-12-1-1-12-1-1-1-2-21111110000000000000000−i3i3-2-2-2-2-222-2-22222-21-2111-211122-1-1-1-1-1-10000000000000000i3−i3
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.