Finite Group Databasebeta

← Group #11772051

Character table — Group #11772051

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222222222222222224444444444444444444444444444444444444444444444444444444121212121212121212121212121212121212121212121212242424242424242424242424144144
order122233444466666688881212121212121212242424242424242434666881212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424241616161616161616484848484848484848484848484848488888242424242424242424
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
χ511111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iiiii−i−i−i−i1-1
χ611111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii-11
χ711111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−i-11
χ811111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiii1-1
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
χ1022222222-2-222222222222222-2-2-2-2222222222-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000
χ11222222-2-2222222220000-2-2-2-22222000000002-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022−2−222−2−22222−2−2−2−22222−2−2−2−200000000000000
χ12222222-2-2222222220000-2-2-2-22222000000002-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000−2−222−2−222−2−2−2−22222−2−2−2−2222200000000000000
χ13222222-2-2-2-22222220000-2-2-2-2-2-2-2-2000000002222200-2-22222-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200000000000000
χ14222222-2-2-2-22222220000-2-2-2-2-2-2-2-2000000002222200-2-22222-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000000000
χ1522222-12222222-1-1-122222222-1-1-1-122222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100
χ1622222-12222222-1-1-122222222-1-1-1-122222222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100
χ1722222-12222222-1-1-1-2-2-2-22222-1-1-1-1-2-2-2-2-2-2-2-2-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i300
χ1822222-12222222-1-1-1-2-2-2-22222-1-1-1-1-2-2-2-2-2-2-2-2-12-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i300
χ1922222-122-2-2222-1-1-122222222111122222222-1-2-1-1-1-2-2-2-2-2-21111111111-1-1-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000033−3−3−3−33300
χ2022222-122-2-2222-1-1-122222222111122222222-1-2-1-1-1-2-2-2-2-2-21111111111-1-1-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000−3−33333−3−300
χ2122222-122-2-2222-1-1-1-2-2-2-222221111-2-2-2-2-2-2-2-2-1-2-1-1-122-2-2-2-21111111111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002i2i−2i−2i−i−i−i−iiiii00
χ2222222-122-2-2222-1-1-1-2-2-2-222221111-2-2-2-2-2-2-2-2-1-2-1-1-122-2-2-2-21111111111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000−2i−2i2i2iiiii−i−i−i−i00
χ232222-122222-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ242222-122222-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000
χ252222-122222-1-1-1222-2-2-2-2-1-1-1-1222211111111-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-2111111110000000033−3−333−3−333−3−333−3−300000000000000
χ262222-122222-1-1-1222-2-2-2-2-1-1-1-1222211111111-12-1-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-21111111100000000−3−333−3−333−3−333−3−33300000000000000
χ272222-1222-2-2-1-1-12222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-1-1-1-2-21111-2-21111111122-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000
χ282222-1222-2-2-1-1-12222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-2-1-1-1-2-21111-2-21111111122-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000
χ292222-1222-2-2-1-1-1222-2-2-2-2-1-1-1-1-2-2-2-211111111-1-2-1-1-1221111-2-21111111122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00000000000000
χ302222-1222-2-2-1-1-1222-2-2-2-2-1-1-1-1-2-2-2-211111111-1-2-1-1-1221111-2-21111111122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00000000000000
χ312222-12-2-222-1-1-122200001111222233−3−333−3−3-1-2-1-1-100-1-111-2-2-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−322−2−222−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ4600000000000000
χ322222-12-2-222-1-1-122200001111222233−3−333−3−3-1-2-1-1-100-1-111-2-2-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−3−2−222−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ4600000000000000
χ332222-12-2-222-1-1-1222000011112222−3−333−3−333-1-2-1-1-100-1-111-2-2-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−3333322−2−222−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ1400000000000000
χ342222-12-2-222-1-1-1222000011112222−3−333−3−333-1-2-1-1-100-1-111-2-2-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−33333−2−222−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ1400000000000000
χ352222-12-2-2-2-2-1-1-122200001111-2-2-2-233−3−333−3−3-12-1-1-10011-1-1221111-1-1-1-1-2-21111−3−3330000−3−3−3−3333300003333−3−3−3−3−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+ζ4600000000000000
χ362222-12-2-2-2-2-1-1-122200001111-2-2-2-233−3−333−3−3-12-1-1-10011-1-1221111-1-1-1-1-2-21111−3−3330000−3−3−3−3333300003333−3−3−3−3i2i2−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−ζ4600000000000000
χ372222-12-2-2-2-2-1-1-122200001111-2-2-2-2−3−333−3−333-12-1-1-10011-1-1221111-1-1-1-1-2-2111133−3−300003333−3−3−3−30000−3−3−3−33333−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+ζ1400000000000000
χ382222-12-2-2-2-2-1-1-122200001111-2-2-2-2−3−333−3−333-12-1-1-10011-1-1221111-1-1-1-1-2-2111133−3−300003333−3−3−3−30000−3−3−3−33333i2i2−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−ζ1400000000000000
χ3922-2-222002i−2i2-2-22-2-2−i2i2−i2i200002i2i−2i−2i−i2i2−i2i2−i2i2−i2i2202-2-22−22i−2i00002i2i−2i−2i00000000002−22−222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2ζ11−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−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ4300000000000000
χ4022-2-222002i−2i2-2-22-2-2−i2i2−i2i200002i2i−2i−2i−i2i2−i2i2−i2i2−i2i2202-2-22−22i−2i00002i2i−2i−2i00000000002−22−222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−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+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ4300000000000000
χ4122-2-222002i−2i2-2-22-2-2i2−i2i2−i200002i2i−2i−2ii2−i2i2−i2i2−i2i2−i2202-2-2−222i−2i00002i2i−2i−2i0000000000−22−22−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−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+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ4700000000000000
χ4222-2-222002i−2i2-2-22-2-2i2−i2i2−i200002i2i−2i−2ii2−i2i2−i2i2−i2i2−i2202-2-2−222i−2i00002i2i−2i−2i0000000000−22−22−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2ζ13+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−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ4700000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.