Finite Group Databasebeta

← Group #11799782

Character table — Group #11799782

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size1111222222222222222222222222222244444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121248484848484872727272
order12222233446666668888121212122424242424242424346666666666688121212121212121212121212121224242424242424242424242424242424242424242424242424242424161616161616161648484848484848484848484848484848246612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1
χ61111-1-1111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111
χ71111-1-1111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-1-111
χ81111-1-1111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1
χ92222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ1022222222-2-22222220000-2-2-2-2000000002-22222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022−2−222−2−22222−2−2−2−22222−2−2−2−20000000000
χ1122222222-2-22222220000-2-2-2-2000000002-22222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000−2−222−2−222−2−2−2−22222−2−2−2−222220000000000
χ122222222-12222-12-1-12222222222222222-1222-1-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-10000
χ132222222-12222-12-1-12222222222222222-1222-1-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-211110000
χ142222222-12222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111111100000000000000000000000000−i3i3−i3i30000
χ152222222-12222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111111100000000000000000000000000i3−i3i3−i30000
χ16222222-1222-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ17222222-1222-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000
χ18222222-1222-1-12-122-2-2-2-2-1-1-1-111111111-12-1-122-1-1-1-1-1-1-1-2-22-1-122-1-1-1-1-1-12-1-11111-2-2-2-211111111-2-2-2-2111111110000000033−3−333−3−333−3−333−3−30000000000
χ19222222-1222-1-12-122-2-2-2-2-1-1-1-111111111-12-1-122-1-1-1-1-1-1-1-2-22-1-122-1-1-1-1-1-12-1-11111-2-2-2-211111111-2-2-2-21111111100000000−3−333−3−333−3−333−3−3330000000000
χ20222222-12-2-2-1-12-122000011113333−3−3−3−3-1-2-1-122-1-1-1-1-1-1-100-211-2-2111111-21133−3−300003333−3−3−3−300003333−3−3−3−322−2−222−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ460000000000
χ21222222-12-2-2-1-12-122000011113333−3−3−3−3-1-2-1-122-1-1-1-1-1-1-100-211-2-2111111-21133−3−300003333−3−3−3−300003333−3−3−3−3−2−222−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ460000000000
χ22222222-12-2-2-1-12-12200001111−3−3−3−33333-1-2-1-122-1-1-1-1-1-1-100-211-2-2111111-211−3−3330000−3−3−3−333330000−3−3−3−3333322−2−222−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ140000000000
χ23222222-12-2-2-1-12-12200001111−3−3−3−33333-1-2-1-122-1-1-1-1-1-1-100-211-2-2111111-211−3−3330000−3−3−3−333330000−3−3−3−33333−2−222−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ140000000000
χ242222-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-22-2-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000
χ252222-2-222-2-22222220000-2-2-2-20000000022-2-2-2-222-2-2-2-2200-22222-2-22222-2-2-2000000000000000000000000000022−2−2−2−2222222−2−2−2−2−2−2−2−222220000000000
χ262222-2-222-2-22222220000-2-2-2-20000000022-2-2-2-222-2-2-2-2200-22222-2-22222-2-2-20000000000000000000000000000−2−22222−2−2−2−2−2−222222222−2−2−2−20000000000
χ272222-2-22-12222-12-1-12222222222222222-1-2-2-211-1-11111-1-2-2-1-2-211-1-11111-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-2-1-1110000
χ282222-2-22-12222-12-1-12222222222222222-1-2-2-211-1-11111-1-2-2-1-2-211-1-11111-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2211-1-10000
χ292222-2-22-12222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-2-211-1-11111-122-1-2-211-1-11111-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000−i3i3i3−i30000
χ302222-2-22-12222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-2-211-1-11111-122-1-2-211-1-11111-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000i3−i3−i3i30000
χ312222-2-2-1222-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-1-11111-1-2-2211-2-2-1-111112-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000
χ322222-2-2-1222-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-1-11111-1-2-2211-2-2-1-111112-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000
χ332222-2-2-1222-1-12-122-2-2-2-2-1-1-1-111111111-1-211-2-2-1-11111-122211-2-2-1-111112-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000
χ342222-2-2-1222-1-12-122-2-2-2-2-1-1-1-111111111-1-211-2-2-1-11111-122211-2-2-1-111112-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000
χ352222-2-2-12-2-2-1-12-122000011113333−3−3−3−3-1211-2-2-1-11111-100-2-1-12211-1-1-1-1-211−3−33300003333−3−3−3−30000−3−3−3−3333322−2−2−2−222ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ460000000000
χ362222-2-2-12-2-2-1-12-122000011113333−3−3−3−3-1211-2-2-1-11111-100-2-1-12211-1-1-1-1-211−3−33300003333−3−3−3−30000−3−3−3−33333−2−22222−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ460000000000
χ372222-2-2-12-2-2-1-12-12200001111−3−3−3−33333-1211-2-2-1-11111-100-2-1-12211-1-1-1-1-21133−3−30000−3−3−3−3333300003333−3−3−3−322−2−2−2−222ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ140000000000
χ382222-2-2-12-2-2-1-12-12200001111−3−3−3−33333-1211-2-2-1-11111-100-2-1-12211-1-1-1-1-21133−3−30000−3−3−3−3333300003333−3−3−3−3−2−22222−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ140000000000
χ392-22-20022-22-2-2-222-222-2-2-2-22222-2-222-2-2200000-2-20000200-20000-2-20000222000022-2-222-2-222-2-2000000000000000000000000000000000000000000002i−2i
χ402-22-20022-22-2-2-222-222-2-2-2-22222-2-222-2-2200000-2-20000200-20000-2-20000222000022-2-222-2-222-2-200000000000000000000000000000000000000000000−2i2i
χ412-22-20022-22-2-2-222-2-2-222-2-222-2-222-2-222200000-2-20000200-20000-2-200002220000-2-222-2-222-2-2220000000000000000000000000000000000000000002i−2i00
χ422-22-20022-22-2-2-222-2-2-222-2-222-2-222-2-222200000-2-20000200-20000-2-200002220000-2-222-2-222-2-222000000000000000000000000000000000000000000−2i2i00
χ432-2-222-222002-2-2-2-222−22−200002−22−22−22−2202-22-22-222-2-2-22−2000000000000002−22−22−22−22−22−22−22−222−2−222−2−222−2−2−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−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−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−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000000000
χ442-2-222-222002-2-2-2-222−22−200002−22−22−22−2202-22-22-222-2-2-22−2000000000000002−22−22−22−22−22−22−22−222−2−222−2−222−2−2ζ25−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+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−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+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000000000
χ452-2-222-222002-2-2-2-22−22−220000−22−22−22−22202-22-22-222-2-2-2−2200000000000000−22−22−22−22−22−22−22−22−2−222−2−222−2−222ζ11−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+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−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−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000000
χ462-2-222-222002-2-2-2-22−22−220000−22−22−22−22202-22-22-222-2-2-2−2200000000000000−22−22−22−22−22−22−22−22−2−222−2−222−2−222−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−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+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000000
χ472-2-222-2-1200-11-21-222−22−23−33−3ζ10−ζ14−ζ10+ζ14ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ26−ζ46−ζ26+ζ46-10-112-2-11-1-11112−203−3003−333−3−303−3ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ462−22−2ζ10−ζ14−ζ10+ζ14ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ26−ζ46−ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46−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−ζ43ζ25−ζ47−ζ25+ζ47−ζ31+ζ41ζ31−ζ41−ζ11+ζ13ζ11−ζ13ζ29−ζ43−ζ29+ζ43ζ25−ζ47−ζ25+ζ47−ζ31+ζ41ζ31−ζ41−ζ11+ζ13ζ11−ζ13ζ29−ζ43−ζ29+ζ430000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.