Finite Group Databasebeta

← Group #11799632

Character table — Group #11799632

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444442424242424242424242424243636363636363636484848484848
order12223344446666668888121212123466688121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424224466661212121216161616161616164412121212
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
χ1022222222-2-2222222000022222-222200-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022−2−222−2−2000000
χ1122222222-2-2222222000022222-222200-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2−222−2−222000000
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
χ13222222-2-2-2-22222220000-2-2-2-2222220022-2-222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022−2−2−2−222000000
χ14222222-2-2-2-22222220000-2-2-2-2222220022-2-222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2−22222−2−2000000
χ1522222-122222-1-122-12222-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ1622222-122222-1-122-12222-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ1722222-122222-1-122-1-2-2-2-2-1-1-1-1-12-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000−i3−i3i3i3−i3−i3i3i300000000000000
χ1822222-122222-1-122-1-2-2-2-2-1-1-1-1-12-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000i3i3−i3−i3i3i3−i3−i300000000000000
χ1922222-1-2-2222-1-122-122221111-1-2-1-1-1-2-211-2-2-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2-1-1-1-1111100000000000000
χ2022222-1-2-2222-1-122-122221111-1-2-1-1-1-2-211-2-2-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2221111-1-1-1-100000000000000
χ2122222-1-2-2222-1-122-1-2-2-2-21111-1-2-1-1-12211-2-2-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000−i3−i3i3i3i3i3−i3−i300000000000000
χ2222222-1-2-2222-1-122-1-2-2-2-21111-1-2-1-1-12211-2-2-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000i3i3−i3−i3−i3−i3i3i300000000000000
χ232222-122222-122-1-1222222222-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-1
χ242222-122222-122-1-1222222222-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000-2-21111
χ252222-122222-122-1-12-2-2-2-22222-12-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000000000−i3i3−i3i3
χ262222-122222-122-1-12-2-2-2-22222-12-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000000000i3−i3i3−i3
χ272222-12-2-222-122-1-122222-2-2-2-2-1-2-1-1-1-2-2-2-2111111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000002-2-1-111
χ282222-12-2-222-122-1-122222-2-2-2-2-1-2-1-1-1-2-2-2-2111111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000000000-2211-1-1
χ292222-12-2-222-122-1-12-2-2-2-2-2-2-2-2-1-2-1-1-122-2-2111111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3
χ302222-12-2-222-122-1-12-2-2-2-2-2-2-2-2-1-2-1-1-122-2-2111111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3
χ3122-2-222002-222-2-2-2-222-2-20000202-2-200000000000000002-22-222-2-222-2-222-2-22222-2-2-2-200000000000000002-2002-22-2000000000000000000
χ3222-2-222002-222-2-2-2-222-2-20000202-2-200000000000000002-22-222-2-222-2-222-2-22222-2-2-2-20000000000000000-2200-22-22000000000000000000
χ3322-2-222002-222-2-2-2-2-2-2220000202-2-200000000000000002-22-222-2-2-2-222-2-222-2-2-2-222220000000000000000002i−2i00002i−2i2i−2i00000000000000
χ3422-2-222002-222-2-2-2-2-2-2220000202-2-200000000000000002-22-222-2-2-2-222-2-222-2-2-2-22222000000000000000000−2i2i0000−2i2i−2i2i00000000000000
χ3522-2-22-1002-22-11-2-2122-2-233−3−3-10-111003−3000033−3−333−3−32-2-11-1-11122-2-2-1-111-1-1-1-11111000033−3−33333−3−3−3−32-200-11-113−3−3300000000000000
χ3622-2-22-1002-22-11-2-2122-2-233−3−3-10-111003−3000033−3−333−3−32-2-11-1-11122-2-2-1-111-1-1-1-11111000033−3−33333−3−3−3−3-22001-11-1−333−300000000000000
χ3722-2-22-1002-22-11-2-2122-2-2−3−333-10-11100−330000−3−333−3−3332-2-11-1-11122-2-2-1-111-1-1-1-111110000−3−333−3−3−3−333332-200-11-11−333−300000000000000
χ3822-2-22-1002-22-11-2-2122-2-2−3−333-10-11100−330000−3−333−3−3332-2-11-1-11122-2-2-1-111-1-1-1-111110000−3−333−3−3−3−33333-22001-11-13−3−3300000000000000
χ3922-2-22-1002-22-11-2-21-2-22233−3−3-10-111003−3000033−3−333−3−32-2-11-1-111-2-22211-1-11111-1-1-1-10000−3−333−3−3−3−33333002i−2i−i3i3i3−i3−ii−ii00000000000000
χ4022-2-22-1002-22-11-2-21-2-22233−3−3-10-111003−3000033−3−333−3−32-2-11-1-111-2-22211-1-11111-1-1-1-10000−3−333−3−3−3−3333300−2i2ii3−i3−i3i3i−ii−i00000000000000
χ4122-2-22-1002-22-11-2-21-2-222−3−333-10-11100−330000−3−333−3−3332-2-11-1-111-2-22211-1-11111-1-1-1-1000033−3−33333−3−3−3−3002i−2ii3−i3−i3i3−ii−ii00000000000000
χ4222-2-22-1002-22-11-2-21-2-222−3−333-10-11100−330000−3−333−3−3332-2-11-1-111-2-22211-1-11111-1-1-1-1000033−3−33333−3−3−3−300−2i2i−i3i3i3−i3i−ii−i00000000000000
χ432-22-2222i−2i00-2-222-2-22−22−22i−2i2i−2i20-22-2−i2i2002i−2i002i−2i2i−2i0000000000002−22−22−22−222−2−222−2−2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000−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
χ442-22-2222i−2i00-2-222-2-22−22−22i−2i2i−2i20-22-2−i2i2002i−2i002i−2i2i−2i0000000000002−22−22−22−222−2−222−2−2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000ζ25−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
χ452-22-2222i−2i00-2-222-2-2−22−222i−2i2i−2i20-22-2i2−i2002i−2i002i−2i2i−2i000000000000−22−22−22−22−2−222−2−222i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−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
χ462-22-2222i−2i00-2-222-2-2−22−222i−2i2i−2i20-22-2i2−i2002i−2i002i−2i2i−2i000000000000−22−22−22−22−2−222−2−222i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−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
χ472-22-222−2i2i00-2-222-2-22−22−2−2i2i−2i2i20-22-2i2−i200−2i2i00−2i2i−2i2i0000000000002−22−22−22−222−2−222−2−2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−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
χ482-22-222−2i2i00-2-222-2-22−22−2−2i2i−2i2i20-22-2i2−i200−2i2i00−2i2i−2i2i0000000000002−22−22−22−222−2−222−2−2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−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
χ492-22-222−2i2i00-2-222-2-2−22−22−2i2i−2i2i20-22-2−i2i200−2i2i00−2i2i−2i2i000000000000−22−22−22−22−2−222−2−222−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000ζ11−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
χ502-22-222−2i2i00-2-222-2-2−22−22−2i2i−2i2i20-22-2−i2i200−2i2i00−2i2i−2i2i000000000000−22−22−22−22−2−222−2−222−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000−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
χ5144444-244-4-44-2-244-20000-2-2-2-2-2-4-2-2-2002244-4-4-2-2-2-22222-4-42222220000000000000000000000000000000000000000000000000000000000
χ5244444-2-4-4-4-44-2-244-200002222-24-2-2-200-2-2-4-4442222-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000
χ534444-2444-4-4-244-2-2400004444-2-4-2-2-200-4-4-2-222-2-2-2-2222222-4-422220000000000000000000000000000000000000000000000000000000000
χ544444-24-4-4-4-4-244-2-240000-4-4-4-4-24-2-2-2004422-2-22222-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000
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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χ584444-2-244-4-4-2-2-2-2-2-20000-2-2-2-21-41110022-2-2221111-1-1-1-12222-1-1-1-100000000−3i3i−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
χ614444-2-2-4-4-4-4-2-2-2-2-2-2000022221411100-2-222-2-2-1-1-1-111112222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2000022221411100-2-222-2-2-1-1-1-111112222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ6344-4-44400-4444-4-4-4-400000000404-4-40000000000000000-44-44-4-4440000000000000000000000000000000000000000000000000000000000
χ6444-4-44-200-444-22-4-4200002323−23−23-20-22200−232300002323−23−23−23−232323-442-222-2-20000000000000000000000000000000000000000000000000000000000
χ6544-4-44-200-444-22-4-420000−23−232323-20-2220023−230000−23−2323232323−23−23-442-222-2-20000000000000000000000000000000000000000000000000000000000
χ6644-4-4-24004-4-24-422-444-4-40000-20-2220000000000000000-224-4-2-222-2-22244-4-4-2-2-2-22222000000000000000000000000000000000000000000
χ6744-4-4-24004-4-24-422-4-4-4440000-20-2220000000000000000-224-4-2-22222-2-2-4-4442222-2-2-2-2000000000000000000000000000000000000000000
χ6844-4-4-2400-44-24-422-400000000-20-22200000000000000002-2-4422-2-20000000000000000−2i32i3−2i32i30000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000
χ6944-4-4-2400-44-24-422-400000000-20-22200000000000000002-2-4422-2-200000000000000002i3−2i32i3−2i300002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000
χ7044-4-4-2-2004-4-2-2222244-4-42323−23−23101-1-10023−230000−3−333−3−333-22-2211-1-1-2-222-2-2221111-1-1-1-100002323−23−23−3−3−3−3333300000000000000000000000000
χ7144-4-4-2-2004-4-2-2222244-4-4−23−232323101-1-100−2323000033−3−333−3−3-22-2211-1-1-2-222-2-2221111-1-1-1-10000−23−2323233333−3−3−3−300000000000000000000000000
χ7244-4-4-2-2004-4-2-22222-4-4442323−23−23101-1-10023−230000−3−333−3−333-22-2211-1-122-2-222-2-2-1-1-1-111110000−23−2323233333−3−3−3−300000000000000000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.