Finite Group Databasebeta

← Group #11798945

Character table — Group #11798945

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222222222222222224444444444444444444444444444444444444444444444444444444121212121212121212121212121212121212121212121212242424242424242424242424144144
order122233444466666688881212121212121212242424242424242434666881212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424241616161616161616484848484848484848484848484848484444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111-1-1111111111111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ6111111-1-1111111111111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ7111111-1-1111111111111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11
χ8111111-1-1111111111111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-1
χ92222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222222-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000
χ1022222222-2-222222200002222-2-2-2-2000000002-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022−2−222−2−22222−2−2−2−22222−2−2−2−200000000000000
χ1122222222-2-222222200002222-2-2-2-2000000002-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000−2−222−2−222−2−2−2−22222−2−2−2−2222200000000000000
χ12222222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000
χ13222222-2-2-2-22222220000-2-2-2-2-2-2-2-2000000002222200-2-22222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000022−2−2−2−2222222−2−2−2−2−2−2−2−2222200000000000000
χ14222222-2-2-2-22222220000-2-2-2-2-2-2-2-2000000002222200-2-22222-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000−2−22222−2−2−2−2−2−222222222−2−2−2−200000000000000
χ1522222-12222222-1-1-12222-1-1-1-1222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100
χ1622222-12222222-1-1-12222-1-1-1-1222222222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100
χ1722222-12222222-1-1-1-2-2-2-2-1-1-1-12222-2-2-2-2-2-2-2-2-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i300
χ1822222-12222222-1-1-1-2-2-2-2-1-1-1-12222-2-2-2-2-2-2-2-2-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i300
χ1922222-1-2-222222-1-1-122221111222222222222-1-2-1-1-1-2-2-2-2-2-21111111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000022-2-2-1-1-1-1111100
χ2022222-1-2-222222-1-1-122221111222222222222-1-2-1-1-1-2-2-2-2-2-21111111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2221111-1-1-1-100
χ2122222-1-2-222222-1-1-1-2-2-2-211112222-2-2-2-2-2-2-2-2-1-2-1-1-122-2-2-2-21111111111-1-1-1-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i300
χ2222222-1-2-222222-1-1-1-2-2-2-211112222-2-2-2-2-2-2-2-2-1-2-1-1-122-2-2-2-21111111111-1-1-1-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i300
χ232222-122222-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ242222-122222-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000
χ252222-122222-1-1-1222-2-2-2-22222-1-1-1-111111111-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-2111111110000000033−3−333−3−333−3−333−3−300000000000000
χ262222-122222-1-1-1222-2-2-2-22222-1-1-1-111111111-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-21111111100000000−3−333−3−333−3−333−3−33300000000000000
χ272222-1222-2-2-1-1-122200002222111133−3−333−3−3-1-2-1-1-100-1-111-2-2-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−322−2−222−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4600000000000000
χ282222-1222-2-2-1-1-122200002222111133−3−333−3−3-1-2-1-1-100-1-111-2-2-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−3−2−222−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ4600000000000000
χ292222-1222-2-2-1-1-1222000022221111−3−333−3−333-1-2-1-1-100-1-111-2-2-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−3333322−2−222−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1400000000000000
χ302222-1222-2-2-1-1-1222000022221111−3−333−3−333-1-2-1-1-100-1-111-2-2-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−33333−2−222−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ1400000000000000
χ312222-12-2-222-1-1-12222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-2-1-1-1-2-21111-2-21111111122-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000
χ322222-12-2-222-1-1-12222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-2-1-1-1-2-21111-2-21111111122-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000
χ332222-12-2-222-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-2-1-1-1221111-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000033−3−333−3−3−3−333−3−33300000000000000
χ342222-12-2-222-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-2-1-1-1221111-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000−3−333−3−33333−3−333−3−300000000000000
χ352222-12-2-2-2-2-1-1-12220000-2-2-2-2111133−3−333−3−3-12-1-1-10011-1-1221111-1-1-1-1-2-21111−3−33300003333−3−3−3−30000−3−3−3−3333322−2−2−2−222ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ4600000000000000
χ362222-12-2-2-2-2-1-1-12220000-2-2-2-2111133−3−333−3−3-12-1-1-10011-1-1221111-1-1-1-1-2-21111−3−33300003333−3−3−3−30000−3−3−3−33333−2−22222−2−2−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4600000000000000
χ372222-12-2-2-2-2-1-1-12220000-2-2-2-21111−3−333−3−333-12-1-1-10011-1-1221111-1-1-1-1-2-2111133−3−30000−3−3−3−3333300003333−3−3−3−322−2−2−2−222ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ1400000000000000
χ382222-12-2-2-2-2-1-1-12220000-2-2-2-21111−3−333−3−333-12-1-1-10011-1-1221111-1-1-1-1-2-2111133−3−30000−3−3−3−3333300003333−3−3−3−3−2−22222−2−2−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1400000000000000
χ3922-2-2222-2002-2-22-2-22−22−222-2-200002−22−22−22−2202-2-22−22-2000022-2-200000000002−22−222−2−222−2−222−2−222−2−222−2−222−2−2−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−ζ4300000000000000
χ4022-2-2222-2002-2-22-2-22−22−222-2-200002−22−22−22−2202-2-22−22-2000022-2-200000000002−22−222−2−222−2−222−2−222−2−222−2−222−2−2ζ25−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+ζ4300000000000000
χ4122-2-2222-2002-2-22-2-2−22−2222-2-20000−22−22−22−22202-2-2−222-2000022-2-20000000000−22−22−2−222−2−222−2−222−2−222−2−222−2−222ζ11−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+ζ4700000000000000
χ4222-2-2222-2002-2-22-2-2−22−2222-2-20000−22−22−22−22202-2-2−222-2000022-2-20000000000−22−22−2−222−2−222−2−222−2−222−2−222−2−222−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−ζ4700000000000000
χ4322-2-222-22002-2-22-2-22−22−2-2-22200002−22−22−22−2202-2-2−22-220000-2-2220000000000−22−2222−2−222−2−222−2−2−2−222−2−222−2−222−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+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−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+ζ4300000000000000
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χ1284-4-44-2-200-442-222-220000−2323−23232-22-22323−23−23−23−23232310-11-100000023−233−33−3−33−332-2-11-1100000000−33−333−33−30000-33-333-33-300000000000000000000000000000000000000
χ1294-4-44-2-200-442-222-220000−2323−23232-22-2−23−2323232323−23−2310-11-100000023−233−33−3−33−332-2-11-11000000003−33−3−33−3300003-33-3-33-3300000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.