Finite Group Databasebeta

← Group #11798885

Character table — Group #11798885

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444442424242424242424242424243636363636363636484848484848
order12223344446666668888121212123466688121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444412121212121212121616161616161616226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-1
χ6111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111
χ7111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-111
χ8111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-1
χ92222222222222222-2-2-2-2222222222-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ1022222222-2-2222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022−2−222−2−2000000
χ1122222222-2-2222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2−222−2−222000000
χ12222222-2-222222222-2-2-2-2-2-2-2-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000
χ13222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022−2−2−2−222000000
χ14222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2−22222−2−2000000
χ1522222-122222-1-1-12222222222-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-1
χ1622222-122222-1-1-12222222222-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-21111
χ1722222-122222-1-1-122-2-2-2-22222-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000−i3i3−i3i3
χ1822222-122222-1-1-122-2-2-2-22222-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000i3−i3i3−i3
χ1922222-1-2-2222-1-1-1222222-2-2-2-2-1-2-1-1-1-2-21111-2-211111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000002-2-1-111
χ2022222-1-2-2222-1-1-1222222-2-2-2-2-1-2-1-1-1-2-21111-2-211111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000-2211-1-1
χ2122222-1-2-2222-1-1-122-2-2-2-2-2-2-2-2-1-2-1-1-1221111-2-211111111-1-122-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3
χ2222222-1-2-2222-1-1-122-2-2-2-2-2-2-2-2-1-2-1-1-1221111-2-211111111-1-122-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3
χ232222-122222-1222-1-12222-1-1-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ242222-122222-1222-1-12222-1-1-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ252222-122222-1222-1-1-2-2-2-2-1-1-1-1-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000−i3−i3i3i3−i3−i3i3i300000000000000
χ262222-122222-1222-1-1-2-2-2-2-1-1-1-1-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000i3i3−i3−i3i3i3−i3−i300000000000000
χ272222-12-2-222-1222-1-122221111-1-2-1-1-1-2-2-2-2-2-2111111111122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122-2-2-1-1-1-1111100000000000000
χ282222-12-2-222-1222-1-122221111-1-2-1-1-1-2-2-2-2-2-2111111111122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2221111-1-1-1-100000000000000
χ292222-12-2-222-1222-1-1-2-2-2-21111-1-2-1-1-122-2-2-2-2111111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−i3−i3i3i3i3i3−i3−i300000000000000
χ302222-12-2-222-1222-1-1-2-2-2-21111-1-2-1-1-122-2-2-2-2111111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000i3i3−i3−i3−i3−i3i3i300000000000000
χ3122-2-2222-20022-2-2-2-22−22−222-2-2202-2-22−22-2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2000000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ3222-2-2222-20022-2-2-2-22−22−222-2-2202-2-22−22-2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2000000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ3322-2-2222-20022-2-2-2-2−22−2222-2-2202-2-2−222-2000022-2-2000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222000000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
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χ3522-2-222-220022-2-2-2-22−22−2-2-222202-2-2−22-220000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−22222000000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ3622-2-222-220022-2-2-2-22−22−2-2-222202-2-2−22-220000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−22222000000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ3722-2-222-220022-2-2-2-2−22−22-2-222202-2-22−2-220000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−2000000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000
χ3822-2-222-220022-2-2-2-2−22−22-2-222202-2-22−2-220000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−2000000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
χ392-22-222002-2-2-22-22-222-2-2000020-22-200000000000000002-22-222-2-22-22-22-22-222-2-222-2-20000000000000000002i−2i00002i−2i2i−2i00000000000000
χ402-22-222002-2-2-22-22-222-2-2000020-22-200000000000000002-22-222-2-22-22-22-22-222-2-222-2-2000000000000000000−2i2i0000−2i2i−2i2i00000000000000
χ412-22-222002-2-2-22-22-2-2-222000020-22-200000000000000002-22-222-2-2-22-22-22-22-2-222-2-22200000000000000002-2002-22-2000000000000000000
χ422-22-222002-2-2-22-22-2-2-222000020-22-200000000000000002-22-222-2-2-22-22-22-22-2-222-2-2220000000000000000-2200-22-22000000000000000000
χ432-22-2-12002-21-22-2-1122-2-23−33−3-101-110000003−33−33−333−3−32-2-11-1-111-11-112-22-2-1-111-1-1113−33−3000033−3−333−3−3002i−2i−i3i3i3−i3−ii−ii00000000000000
χ442-22-2-12002-21-22-2-1122-2-23−33−3-101-110000003−33−33−333−3−32-2-11-1-111-11-112-22-2-1-111-1-1113−33−3000033−3−333−3−300−2i2ii3−i3−i3i3i−ii−i00000000000000
χ452-22-2-12002-21-22-2-1122-2-2−33−33-101-11000000−33−33−33−3−3332-2-11-1-111-11-112-22-2-1-111-1-111−33−330000−3−333−3−333002i−2ii3−i3−i3i3−ii−ii00000000000000
χ462-22-2-12002-21-22-2-1122-2-2−33−33-101-11000000−33−33−33−3−3332-2-11-1-111-11-112-22-2-1-111-1-111−33−330000−3−333−3−33300−2i2i−i3i3i3−i3i−ii−i00000000000000
χ472-22-2-12002-21-22-2-11-2-2223−33−3-101-110000003−33−33−333−3−32-2-11-1-1111-11-1-22-2211-1-111-1-1−33−330000−3−333−3−3332-200-11-113−3−3300000000000000
χ482-22-2-12002-21-22-2-11-2-2223−33−3-101-110000003−33−33−333−3−32-2-11-1-1111-11-1-22-2211-1-111-1-1−33−330000−3−333−3−333-22001-11-1−333−300000000000000
χ492-22-2-12002-21-22-2-11-2-222−33−33-101-11000000−33−33−33−3−3332-2-11-1-1111-11-1-22-2211-1-111-1-13−33−3000033−3−333−3−32-200-11-11−333−300000000000000
χ502-22-2-12002-21-22-2-11-2-222−33−33-101-11000000−33−33−33−3−3332-2-11-1-1111-11-1-22-2211-1-111-1-13−33−3000033−3−333−3−3-22001-11-13−3−3300000000000000
χ5144444-244-4-44-2-2-24400004444-2-4-2-2-200-2-222-4-4-2-2-2-2222222-4-422220000000000000000000000000000000000000000000000000000000000
χ5244444-2-4-4-4-44-2-2-2440000-4-4-4-4-24-2-2-20022-2-2442222-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000
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χ564444-2-24444-2-2-2-2-2-2-4-4-4-4-2-2-2-214111-4-4-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-20000-2-2-2-21-411100-2-222221111-1-1-1-12222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-20000-2-2-2-21-411100-2-222221111-1-1-1-12222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-2444422221-4111-4-4222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-2-4-4-4-422221-411144222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
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χ624444-2-2-4-4-4-4-2-2-2-2-2-200002222141110022-2-2-2-2-1-1-1-111112222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ6344-4-44-24-4004-222-4-422−2222−2244-4-4-20-22222−22-220000-2-2220000000000002222−22−22−2−222−2−2−2−222222222−22−22−2−222−2−2−2−2222200000000000000000000000000
χ6444-4-44-24-4004-222-4-4−2222−222244-4-4-20-222−2222-220000-2-222000000000000−22−22222222−2−22222−2−2−2−2−22−22222222−2−22222−2−2−2−200000000000000000000000000
χ6544-4-44-2-44004-222-4-422−2222−22-4-444-20-222−22222-2000022-2-20000000000002222−22−22−2−222−2−2−2−22222−22−22222222−2−22222−2−2−2−200000000000000000000000000
χ6644-4-44-2-44004-222-4-4−2222−2222-4-444-20-22222−222-2000022-2-2000000000000−22−22222222−2−22222−2−2−2−22222−22−22−2−222−2−2−2−2222200000000000000000000000000
χ6744-4-4-244-400-24-4-42222−2222−22-2-222-20-22222−224-40000-2-222000000000000−2−2222222−22−22−2−2−2−22222−2−2222222−22−22−2−2−2−2222200000000000000000000000000
χ6844-4-4-244-400-24-4-422−2222−2222-2-222-20-222−22224-40000-2-22200000000000022−2−2−22−2222222222−2−2−2−222−2−2−22−2222222222−2−2−2−200000000000000000000000000
χ6944-4-4-24-4400-24-4-42222−2222−2222-2-2-20-222−2222-44000022-2-2000000000000−2−2222222−22−22−2−2−2−2222222−2−2−22−2222222222−2−2−2−200000000000000000000000000
χ7044-4-4-24-4400-24-4-422−2222−222222-2-2-20-22222−22-44000022-2-200000000000022−2−2−22−2222222222−2−2−2−2−2−2222222−22−22−2−2−2−2222200000000000000000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.