Finite Group Databasebeta

← Group #11799029

Character table — Group #11799029

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444442424242424242424242424243636363636363636484848484848
order1222334444666666888812121212346668812121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444441212121212121212161616161616161624661212
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
χ1522222-122222-1-122-122222222-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-1
χ1622222-122222-1-122-122222222-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-21111
χ1722222-122222-1-122-1-2-2-2-22222-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000−i3i3−i3i3
χ1822222-122222-1-122-1-2-2-2-22222-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000i3−i3i3−i3
χ1922222-1-2-2222-1-122-12222-2-2-2-2-1-2-1-1-1-2-21111-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000002-2-1-111
χ2022222-1-2-2222-1-122-12222-2-2-2-2-1-2-1-1-1-2-21111-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000-2211-1-1
χ2122222-1-2-2222-1-122-1-2-2-2-2-2-2-2-2-1-2-1-1-1221111-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3
χ2222222-1-2-2222-1-122-1-2-2-2-2-2-2-2-2-1-2-1-1-1221111-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3
χ232222-122222-122-1-122222-1-1-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ242222-122222-122-1-122222-1-1-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ252222-122222-122-1-12-2-2-2-2-1-1-1-1-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000−i3−i3i3i3−i3−i3i3i300000000000000
χ262222-122222-122-1-12-2-2-2-2-1-1-1-1-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000i3i3−i3−i3i3i3−i3−i300000000000000
χ272222-12-2-222-122-1-1222221111-1-2-1-1-1-2-2-2-2-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122-2-2-1-1-1-1111100000000000000
χ282222-12-2-222-122-1-1222221111-1-2-1-1-1-2-2-2-2-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2221111-1-1-1-100000000000000
χ292222-12-2-222-122-1-12-2-2-2-21111-1-2-1-1-122-2-2-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−i3−i3i3i3i3i3−i3−i300000000000000
χ302222-12-2-222-122-1-12-2-2-2-21111-1-2-1-1-122-2-2-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000i3i3−i3−i3−i3−i3i3i300000000000000
χ312-22-2222i−2i00-22-22-2-22−22−22i2i−2i−2i202-2-2−i2i22i−2i00002i2i−2i−2i00000000000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000
χ322-22-2222i−2i00-22-22-2-22−22−22i2i−2i−2i202-2-2−i2i22i−2i00002i2i−2i−2i00000000000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
χ332-22-2222i−2i00-22-22-2-2−22−222i2i−2i−2i202-2-2i2−i22i−2i00002i2i−2i−2i000000000000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ342-22-2222i−2i00-22-22-2-2−22−222i2i−2i−2i202-2-2i2−i22i−2i00002i2i−2i−2i000000000000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ352-22-222−2i2i00-22-22-2-22−22−2−2i−2i2i2i202-2-2i2−i2−2i2i0000−2i−2i2i2i00000000000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
χ362-22-222−2i2i00-22-22-2-22−22−2−2i−2i2i2i202-2-2i2−i2−2i2i0000−2i−2i2i2i00000000000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000
χ372-22-222−2i2i00-22-22-2-2−22−22−2i−2i2i2i202-2-2−i2i2−2i2i0000−2i−2i2i2i000000000000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ382-22-222−2i2i00-22-22-2-2−22−22−2i−2i2i2i202-2-2−i2i2−2i2i0000−2i−2i2i2i000000000000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ392-2-2222002-2-2-2-2-22222-2-2000020-22-200000000000000002-22-222-2-22-22-22-22-222-2-222-2-200000000000000002i−2i002i−2i2i−2i000000000000000000
χ402-2-2222002-2-2-2-2-22222-2-2000020-22-200000000000000002-22-222-2-22-22-22-22-222-2-222-2-20000000000000000−2i2i00−2i2i−2i2i000000000000000000
χ412-2-2222002-2-2-2-2-222-2-222000020-22-200000000000000002-22-222-2-2-22-22-22-22-2-222-2-2220000000000000000002-200002-22-200000000000000
χ422-2-2222002-2-2-2-2-222-2-222000020-22-200000000000000002-22-222-2-2-22-22-22-22-2-222-2-222000000000000000000-220000-22-2200000000000000
χ432-2-22-12002-21-2-21-1222-2-23−33−3-101-110000003−33−33−333−3−3-112-2-1-111-11-112-22-2-1-111-1-1113−33−3000033−3−333−3−32i−2i00−ii−ii−i3i3i3−i300000000000000
χ442-2-22-12002-21-2-21-1222-2-23−33−3-101-110000003−33−33−333−3−3-112-2-1-111-11-112-22-2-1-111-1-1113−33−3000033−3−333−3−3−2i2i00i−ii−ii3−i3−i3i300000000000000
χ452-2-22-12002-21-2-21-1222-2-2−33−33-101-11000000−33−33−33−3−333-112-2-1-111-11-112-22-2-1-111-1-111−33−330000−3−333−3−3332i−2i00−ii−iii3−i3−i3i300000000000000
χ462-2-22-12002-21-2-21-1222-2-2−33−33-101-11000000−33−33−33−3−333-112-2-1-111-11-112-22-2-1-111-1-111−33−330000−3−333−3−333−2i2i00i−ii−i−i3i3i3−i300000000000000
χ472-2-22-12002-21-2-21-12-2-2223−33−3-101-110000003−33−33−333−3−3-112-2-1-1111-11-1-22-2211-1-111-1-1−33−330000−3−333−3−333002-23−3−33-11-1100000000000000
χ482-2-22-12002-21-2-21-12-2-2223−33−3-101-110000003−33−33−333−3−3-112-2-1-1111-11-1-22-2211-1-111-1-1−33−330000−3−333−3−33300-22−333−31-11-100000000000000
χ492-2-22-12002-21-2-21-12-2-222−33−33-101-11000000−33−33−33−3−333-112-2-1-1111-11-1-22-2211-1-111-1-13−33−3000033−3−333−3−3002-2−333−3-11-1100000000000000
χ502-2-22-12002-21-2-21-12-2-222−33−33-101-11000000−33−33−33−3−333-112-2-1-1111-11-1-22-2211-1-111-1-13−33−3000033−3−333−3−300-223−3−331-11-100000000000000
χ5144444-244-4-44-2-244-200004444-2-4-2-2-200-2-222-4-4-2-2-2-22222-4-42222220000000000000000000000000000000000000000000000000000000000
χ5244444-2-4-4-4-44-2-244-20000-4-4-4-4-24-2-2-20022-2-2442222-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000
χ534444-2444-4-4-244-2-240000-2-2-2-2-2-4-2-2-20044-4-422-2-2-2-2222222-4-422220000000000000000000000000000000000000000000000000000000000
χ544444-24-4-4-4-4-244-2-2400002222-24-2-2-200-4-444-2-22222-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-24444-2-2-2-21411144-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
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
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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
χ614444-2-2-4-4-4-4-2-2-2-2-2-200002222141110022-2-2-2-2-1-1-1-111112222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
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
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χ6644-4-44-2000042-2-4-4222−22−22220000-2022-20000−2323000000−2323−23230000000022−22−2222−222−2−2−22222−2−20000−66−66−666−66−6−6600000000000000000000000000
χ6744-4-44-2000042-2-4-42−222222−220000-2022-2000023−2300000023−2323−2300000000−222222−222−2−2222−2−2−2−2220000−66−66−666−66−6−6600000000000000000000000000
χ6844-4-44-2000042-2-4-42−222222−220000-2022-20000−2323000000−2323−232300000000−222222−222−2−2222−2−2−2−22200006−66−66−6−66−666−600000000000000000000000000
χ6944-4-4-240000-2-4422-422−22−2222−2i32i32i3−2i3-2022-200000000−2i32i32i3−2i3000000000000−222−222−22−2222−2−22222−2−2i6−i6−i6i60000i6i6−i6−i6−i6−i6i6i600000000000000000000000000
χ7044-4-4-240000-2-4422-422−22−22222i3−2i3−2i32i3-2022-2000000002i3−2i3−2i32i3000000000000−222−222−22−2222−2−22222−2−2−i6i6i6−i60000−i6−i6i6i6i6i6−i6−i600000000000000000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.