Finite Group Databasebeta

← Group #11772052

Character table — Group #11772052

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444442424242424242424242424243636363636363636484848484848
order1222334444666666888812121212346668812121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242488882424242424242424161616161616161624661212
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
χ511111111-1-1111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1-111-1-1
χ611111111-1-1111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii-11-1-111
χ711111111-1-1111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i-11-1-111
χ811111111-1-1111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1-111-1-1
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
χ1022222222-2-22222222222-2-2-2-22-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000
χ11222222-2-222222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022−2−222−2−2000000
χ12222222-2-222222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2−222−2−222000000
χ13222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i2000000
χ14222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i2000000
χ1522222-12222222-1-1-122222222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-1
χ1622222-12222222-1-1-122222222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-21111
χ1722222-12222222-1-1-1-2-2-2-22222-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000−i3i3−i3i3
χ1822222-12222222-1-1-1-2-2-2-22222-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000i3−i3i3−i3
χ1922222-122-2-2222-1-1-12222-2-2-2-2-1-2-1-1-1-2-211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3
χ2022222-122-2-2222-1-1-12222-2-2-2-2-1-2-1-1-1-2-211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3
χ2122222-122-2-2222-1-1-1-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000002-2-1-111
χ2222222-122-2-2222-1-1-1-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000-2211-1-1
χ232222-122222-1-1-12222222-1-1-1-1-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ242222-122222-1-1-12222222-1-1-1-1-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ252222-122222-1-1-1222-2-2-2-2-1-1-1-1-12-1-1-1-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000−i3−i3i3i3−i3−i3i3i300000000000000
χ262222-122222-1-1-1222-2-2-2-2-1-1-1-1-12-1-1-1-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000i3i3−i3−i3i3i3−i3−i300000000000000
χ272222-1222-2-2-1-1-122222221111-1-2-1-1-1-2-2-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000033−3−3−3−33300000000000000
χ282222-1222-2-2-1-1-122222221111-1-2-1-1-1-2-2-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−3−33333−3−300000000000000
χ292222-1222-2-2-1-1-1222-2-2-2-21111-1-2-1-1-122-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i2i−2i−2i−i−i−i−iiiii00000000000000
χ302222-1222-2-2-1-1-1222-2-2-2-21111-1-2-1-1-122-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i−2i2i2iiiii−i−i−i−i00000000000000
χ3122-2-222002i−2i2-2-22-2-2−i2i2−i2i22i2i−2i−2i202-2-22−22i−2i00002i2i−2i−2i00000000000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43000000
χ3222-2-222002i−2i2-2-22-2-2−i2i2−i2i22i2i−2i−2i202-2-22−22i−2i00002i2i−2i−2i00000000000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43000000
χ3322-2-222002i−2i2-2-22-2-2i2−i2i2−i22i2i−2i−2i202-2-2−222i−2i00002i2i−2i−2i000000000000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47000000
χ3422-2-222002i−2i2-2-22-2-2i2−i2i2−i22i2i−2i−2i202-2-2−222i−2i00002i2i−2i−2i000000000000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47000000
χ3522-2-22200−2i2i2-2-22-2-2−i2i2−i2i2−2i−2i2i2i202-2-2−22−2i2i0000−2i−2i2i2i000000000000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43000000
χ3622-2-22200−2i2i2-2-22-2-2−i2i2−i2i2−2i−2i2i2i202-2-2−22−2i2i0000−2i−2i2i2i000000000000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43000000
χ3722-2-22200−2i2i2-2-22-2-2i2−i2i2−i2−2i−2i2i2i202-2-22−2−2i2i0000−2i−2i2i2i00000000000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47000000
χ3822-2-22200−2i2i2-2-22-2-2i2−i2i2−i2−2i−2i2i2i202-2-22−2−2i2i0000−2i−2i2i2i00000000000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47000000
χ392-2-22222-200-22-2-2-2222-2-2000020-22-200000000000000002-22-222-2-200000000000000002-22-22-22-222-2-222-2-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000
χ402-2-22222-200-22-2-2-2222-2-2000020-22-200000000000000002-22-222-2-200000000000000002-22-22-22-222-2-222-2-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000
χ412-2-22222-200-22-2-2-22-2-222000020-22-200000000000000002-22-222-2-20000000000000000-22-22-22-22-2-222-2-2222−2−222−22−2−22−2200000000000000
χ422-2-22222-200-22-2-2-22-2-222000020-22-200000000000000002-22-222-2-20000000000000000-22-22-22-22-2-222-2-222−222−2−22−222−22−200000000000000
χ432-2-22-122-2001-11-2-2222-2-23−33−3-101-1100003−3003−33−333−3−3-112-2-1-1113−33−3000033−3−333−3−3-11-112-22-2-1-111-1-111−i2i2−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ1400000000000000
χ442-2-22-122-2001-11-2-2222-2-23−33−3-101-1100003−3003−33−333−3−3-112-2-1-1113−33−3000033−3−333−3−3-11-112-22-2-1-111-1-111i2−i2i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ1400000000000000
χ452-2-22-122-2001-11-2-2222-2-2−33−33-101-110000−3300−33−33−3−333-112-2-1-111−33−330000−3−333−3−333-11-112-22-2-1-111-1-111−i2i2−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ4600000000000000
χ462-2-22-122-2001-11-2-2222-2-2−33−33-101-110000−3300−33−33−3−333-112-2-1-111−33−330000−3−333−3−333-11-112-22-2-1-111-1-111i2−i2i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ4600000000000000
χ472-2-22-122-2001-11-2-22-2-2223−33−3-101-1100003−3003−33−333−3−3-112-2-1-111−33−330000−3−333−3−3331-11-1-22-2211-1-111-1-12−2−22ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ1400000000000000
χ482-2-22-122-2001-11-2-22-2-2223−33−3-101-1100003−3003−33−333−3−3-112-2-1-111−33−330000−3−333−3−3331-11-1-22-2211-1-111-1-1−222−2−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ1400000000000000
χ492-2-22-122-2001-11-2-22-2-222−33−33-101-110000−3300−33−33−3−333-112-2-1-1113−33−3000033−3−333−3−31-11-1-22-2211-1-111-1-12−2−22ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ4600000000000000
χ502-2-22-122-2001-11-2-22-2-222−33−33-101-110000−3300−33−33−3−333-112-2-1-1113−33−3000033−3−333−3−31-11-1-22-2211-1-111-1-1−222−2−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ4600000000000000
χ5144444-2-4-444444-2-2-200004444-2-4-2-2-200-2-2-4-422-2-2-2-22222-4-42222220000000000000000000000000000000000000000000000000000000000
χ5244444-2-4-4-4-4444-2-2-20000-4-4-4-4-24-2-2-2002244-2-22222-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000
χ534444-24-4-444-2-2-24440000-2-2-2-2-2-4-2-2-2004422-4-4-2-2-2-2222222-4-422220000000000000000000000000000000000000000000000000000000000
χ544444-24-4-4-4-4-2-2-244400002222-24-2-2-200-4-4-2-2442222-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000
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
χ574444-2-244-4-4-2-2-2-2-2-2444422221-4111-4-4222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-2-4-4-4-422221-411144222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-20000-2-2-2-21-411100-2-222221111-1-1-1-12222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-20000-2-2-2-21-411100-2-222221111-1-1-1-12222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
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
χ6344-4-44-2004i−4i4-4-4-222−2i22i2−2i22i24i4i−4i−4i-20-22222−22−2i2i0000−2i−2i2i2i0000000000002222−22−22−2−222−2−2−2−22222−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ6444-4-44-2004i−4i4-4-4-2222i2−2i22i2−2i24i4i−4i−4i-20-222−2222−2i2i0000−2i−2i2i2i000000000000−22−22222222−2−22222−2−2−2−22i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.