Finite Group Databasebeta

← Group #11771858

Character table — Group #11771858

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
χ51111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1ii−i−i
χ61111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-111−i−iii
χ71111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−i−iii
χ81111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-1-111ii−i−i
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
χ242222-2-2222222222222222222222222222-2-2-2-2-222-2-2-2-22-2-22-2-2-2-222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000
χ252222-2-222-2-22222220000-2-2-2-20000000022-2-2-2-222-2-2-2-2200-22222-2-22222-2-2-20000000000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000
χ262222-2-222-2-22222220000-2-2-2-20000000022-2-2-2-222-2-2-2-2200-22222-2-22222-2-2-20000000000000000000000000000i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000
χ272222-2-22-12222-12-1-12222222222222222-1-2-2-211-1-11111-1-2-2-1-2-211-1-11111-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000−i3i3i3−i30000
χ282222-2-22-12222-12-1-12222222222222222-1-2-2-211-1-11111-1-2-2-1-2-211-1-11111-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000i3−i3−i3i30000
χ292222-2-22-12222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-2-211-1-11111-122-1-2-211-1-11111-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-2-1-1110000
χ302222-2-22-12222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-2-211-1-11111-122-1-2-211-1-11111-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2211-1-10000
χ312222-2-2-1222-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-1-11111-1-2-2211-2-2-1-111112-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000
χ322222-2-2-1222-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-1-11111-1-2-2211-2-2-1-111112-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000
χ332222-2-2-1222-1-12-122-2-2-2-2-1-1-1-111111111-1-211-2-2-1-11111-122211-2-2-1-111112-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000000000
χ342222-2-2-1222-1-12-122-2-2-2-2-1-1-1-111111111-1-211-2-2-1-11111-122211-2-2-1-111112-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000000000
χ352222-2-2-12-2-2-1-12-122000011113333−3−3−3−3-1211-2-2-1-11111-100-2-1-12211-1-1-1-1-211−3−3330000−3−3−3−3333300003333−3−3−3−3−i2−i2i2i2i2i2−i2−i2ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ460000000000
χ362222-2-2-12-2-2-1-12-122000011113333−3−3−3−3-1211-2-2-1-11111-100-2-1-12211-1-1-1-1-211−3−3330000−3−3−3−3333300003333−3−3−3−3i2i2−i2−i2−i2−i2i2i2−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ460000000000
χ372222-2-2-12-2-2-1-12-12200001111−3−3−3−33333-1211-2-2-1-11111-100-2-1-12211-1-1-1-1-21133−3−300003333−3−3−3−30000−3−3−3−33333−i2−i2i2i2i2i2−i2−i2ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ140000000000
χ382222-2-2-12-2-2-1-12-12200001111−3−3−3−33333-1211-2-2-1-11111-100-2-1-12211-1-1-1-1-21133−3−300003333−3−3−3−30000−3−3−3−33333i2i2−i2−i2−i2−i2i2i2−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ140000000000
χ392-22-200222-2-2-2-222-22i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i200000-2-2000020020000220000-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000001+i−1−i1−i−1+i
χ402-22-200222-2-2-2-222-22i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i200000-2-2000020020000220000-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000−1−i1+i−1+i1−i
χ412-22-200222-2-2-2-222-2−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i200000-2-2000020020000220000-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000001−i−1+i1+i−1−i
χ422-22-200222-2-2-2-222-2−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i200000-2-2000020020000220000-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−1+i1−i−1−i1+i
χ432-2-222-222002-2-2-2-222−22−200002−22−22−22−2202-22-22-222-2-2-22−2000000000000002−22−222−2−222−2−222−2−22−22−22−22−22−22−2−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
χ442-2-222-222002-2-2-2-222−22−200002−22−22−22−2202-22-22-222-2-2-22−2000000000000002−22−222−2−222−2−222−2−22−22−22−22−22−22−2ζ25+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
χ452-2-222-222002-2-2-2-22−22−220000−22−22−22−22202-22-22-222-2-2-2−2200000000000000−22−22−2−222−2−222−2−222−22−22−22−22−22−22ζ11+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
χ462-2-222-222002-2-2-2-22−22−220000−22−22−22−22202-22-22-222-2-2-2−2200000000000000−22−22−2−222−2−222−2−222−22−22−22−22−22−22−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
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χ1224-4-44-44-2-200-22222-2−2222−222223−2323−23−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46102-22-21-1-1-111-122−220−232300−3333−3−30−332ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ462−22−2ζ10−ζ14−ζ10+ζ14ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46ζ26−ζ46−ζ26+ζ460000000000000000000000000000000000
χ1234-4-44-44-2-200-22222-2−2222−2222−2323−2323−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14102-22-21-1-1-111-122−22023−23003−3−3−33303−32ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ142−22−2ζ26−ζ46−ζ26+ζ46ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14ζ10−ζ14−ζ10+ζ140000000000000000000000000000000000

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