Finite Group Databasebeta

← Group #88384

Character table — Group #88384

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222223333333333333333666666666666666666666666999999999999999999999999
order12448888361212242424243366121212122424242424242424999181818363636363636727272727272727272727272161616161616161648484848484848484848484848484848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ41111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ51111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ61111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ71111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ81111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ91111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32iiii−i−i−i−iζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28
χ101111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−i−i−i−iiiii−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28
χ111111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32iiii−i−i−i−iζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44
χ121111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−i−i−i−iiiii−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44
χ1311-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ1411-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ1511-1-1ii−i−i11-1-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ281−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ii−i−iζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ28ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ14ζ14ζ14ζ26ζ26−ζ26−ζ26−ζ46−ζ46ζ46ζ46ζ10ζ10−ζ10−ζ10
χ1611-1-1ii−i−i11-1-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ281−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ii−i−iζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ28−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14ζ14−ζ14−ζ14−ζ26−ζ26ζ26ζ26ζ46ζ46−ζ46−ζ46−ζ10−ζ10ζ10ζ10
χ1711-1-1ii−i−i11-1-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ441−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ii−i−iζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ44ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ46−ζ46ζ46ζ46ζ10ζ10−ζ10−ζ10−ζ14−ζ14ζ14ζ14ζ26ζ26−ζ26−ζ26
χ1811-1-1ii−i−i11-1-1ii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ441−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ii−i−iζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ44−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ46ζ46−ζ46−ζ46−ζ10−ζ10ζ10ζ10ζ14ζ14−ζ14−ζ14−ζ26−ζ26ζ26ζ26
χ1911-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ2011-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii111111-1-1-1-1-1-1−i−iii−i−iii−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ2111-1-1−i−iii11-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ281−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−i−iii−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ28−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ26ζ26−ζ26−ζ26−ζ14−ζ14ζ14ζ14ζ10ζ10−ζ10−ζ10−ζ46−ζ46ζ46ζ46
χ2211-1-1−i−iii11-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ281−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−i−iii−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ28ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ26−ζ26ζ26ζ26ζ14ζ14−ζ14−ζ14−ζ10−ζ10ζ10ζ10ζ46ζ46−ζ46−ζ46
χ2311-1-1−i−iii11-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ28−ζ28ζ28ζ28−ζ44−ζ44ζ44ζ441−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−i−iii−ζ28−ζ28ζ28ζ28−ζ44−ζ44ζ44ζ44−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10ζ10−ζ10−ζ10−ζ46−ζ46ζ46ζ46ζ26ζ26−ζ26−ζ26−ζ14−ζ14ζ14ζ14
χ2411-1-1−i−iii11-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ28−ζ28ζ28ζ28−ζ44−ζ44ζ44ζ441−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−i−iii−ζ28−ζ28ζ28ζ28−ζ44−ζ44ζ44ζ44ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ10ζ10ζ10ζ46ζ46−ζ46−ζ46−ζ26−ζ26ζ26ζ26ζ14ζ14−ζ14−ζ14
χ251-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ261-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ2611-1-1i−ii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26111-1-1-1i−ii−ii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41
χ261-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ261-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ2611-1-1i−ii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26111-1-1-1i−ii−ii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41
χ271-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ261-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−1−i32−1+i321+i321−i32ζ44−ζ44ζ28−ζ28−ζ14ζ14ζ26−ζ26−ζ46ζ46ζ10−ζ101−1−i32−1+i32-11+i321−i32i−iζ44−ζ44ζ28−ζ28ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14ζ14ζ26−ζ26−ζ46ζ46ζ10−ζ10ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41−ζ11ζ11ζ47−ζ47ζ29−ζ29ζ41−ζ41−ζ43ζ43ζ31−ζ31ζ13−ζ13ζ25−ζ25
χ281-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ261-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−1−i32−1+i321+i321−i32ζ44−ζ44ζ28−ζ28−ζ14ζ14ζ26−ζ26−ζ46ζ46ζ10−ζ101−1−i32−1+i32-11+i321−i32i−iζ44−ζ44ζ28−ζ28ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14ζ14ζ26−ζ26−ζ46ζ46ζ10−ζ10−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41ζ11−ζ11−ζ47ζ47−ζ29ζ29−ζ41ζ41ζ43−ζ43−ζ31ζ31−ζ13ζ13−ζ25ζ25
χ291-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ261-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−1+i32−1−i321−i321+i32ζ28−ζ28ζ44−ζ44−ζ46ζ46ζ10−ζ10−ζ14ζ14ζ26−ζ261−1+i32−1−i32-11−i321+i32i−iζ28−ζ28ζ44−ζ44ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ46ζ46ζ10−ζ10−ζ14ζ14ζ26−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41−ζ43ζ43ζ31−ζ31ζ13−ζ13ζ25−ζ25−ζ11ζ11ζ47−ζ47ζ29−ζ29ζ41−ζ41
χ301-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ261-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−1+i32−1−i321−i321+i32ζ28−ζ28ζ44−ζ44−ζ46ζ46ζ10−ζ10−ζ14ζ14ζ26−ζ261−1+i32−1−i32-11−i321+i32i−iζ28−ζ28ζ44−ζ44ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ46ζ46ζ10−ζ10−ζ14ζ14ζ26−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41ζ43−ζ43−ζ31ζ31−ζ13ζ13−ζ25ζ25ζ11−ζ11−ζ47ζ47−ζ29ζ29−ζ41ζ41
χ311-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ261-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ2611-1-1i−ii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26111-1-1-1i−ii−ii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29
χ321-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ261-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ2611-1-1i−ii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26111-1-1-1i−ii−ii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29
χ331-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ261-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−1−i32−1+i321+i321−i32ζ44−ζ44ζ28−ζ28ζ14−ζ14−ζ26ζ26ζ46−ζ46−ζ10ζ101−1−i32−1+i32-11+i321−i32i−iζ44−ζ44ζ28−ζ28−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14−ζ14−ζ26ζ26ζ46−ζ46−ζ10ζ10−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29ζ47−ζ47ζ11−ζ11−ζ41ζ41ζ29−ζ29ζ31−ζ31ζ43−ζ43−ζ25ζ25ζ13−ζ13
χ341-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ261-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−1−i32−1+i321+i321−i32ζ44−ζ44ζ28−ζ28ζ14−ζ14−ζ26ζ26ζ46−ζ46−ζ10ζ101−1−i32−1+i32-11+i321−i32i−iζ44−ζ44ζ28−ζ28−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14−ζ14−ζ26ζ26ζ46−ζ46−ζ10ζ10ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29−ζ47ζ47−ζ11ζ11ζ41−ζ41−ζ29ζ29−ζ31ζ31−ζ43ζ43ζ25−ζ25−ζ13ζ13
χ351-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ261-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−1+i32−1−i321−i321+i32ζ28−ζ28ζ44−ζ44ζ46−ζ46−ζ10ζ10ζ14−ζ14−ζ26ζ261−1+i32−1−i32-11−i321+i32i−iζ28−ζ28ζ44−ζ44−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ46−ζ46−ζ10ζ10ζ14−ζ14−ζ26ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29ζ31−ζ31ζ43−ζ43−ζ25ζ25ζ13−ζ13ζ47−ζ47ζ11−ζ11−ζ41ζ41ζ29−ζ29
χ361-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ261-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−1+i32−1−i321−i321+i32ζ28−ζ28ζ44−ζ44ζ46−ζ46−ζ10ζ10ζ14−ζ14−ζ26ζ261−1+i32−1−i32-11−i321+i32i−iζ28−ζ28ζ44−ζ44−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ46−ζ46−ζ10ζ10ζ14−ζ14−ζ26ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29−ζ31ζ31−ζ43ζ43ζ25−ζ25−ζ13ζ13−ζ47ζ47−ζ11ζ11ζ41−ζ41−ζ29ζ29
χ371-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ461-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ4611-1-1−ii−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46111-1-1-1−ii−ii−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47
χ381-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ461-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ4611-1-1−ii−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46111-1-1-1−ii−ii−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47
χ391-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ461-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−1−i32−1+i321+i321−i32−ζ44ζ44−ζ28ζ28ζ26−ζ26−ζ14ζ14ζ10−ζ10−ζ46ζ461−1−i32−1+i32-11+i321−i32−ii−ζ44ζ44−ζ28ζ28−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ26−ζ26−ζ14ζ14ζ10−ζ10−ζ46ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47ζ29−ζ29−ζ41ζ41−ζ11ζ11−ζ47ζ47ζ13−ζ13−ζ25ζ25−ζ43ζ43−ζ31ζ31
χ401-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ461-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−1−i32−1+i321+i321−i32−ζ44ζ44−ζ28ζ28ζ26−ζ26−ζ14ζ14ζ10−ζ10−ζ46ζ461−1−i32−1+i32-11+i321−i32−ii−ζ44ζ44−ζ28ζ28−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ26−ζ26−ζ14ζ14ζ10−ζ10−ζ46ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47−ζ29ζ29ζ41−ζ41ζ11−ζ11ζ47−ζ47−ζ13ζ13ζ25−ζ25ζ43−ζ43ζ31−ζ31
χ411-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ461-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−1+i32−1−i321−i321+i32−ζ28ζ28−ζ44ζ44ζ10−ζ10−ζ46ζ46ζ26−ζ26−ζ14ζ141−1+i32−1−i32-11−i321+i32−ii−ζ28ζ28−ζ44ζ44−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10−ζ10−ζ46ζ46ζ26−ζ26−ζ14ζ14−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47ζ13−ζ13−ζ25ζ25−ζ43ζ43−ζ31ζ31ζ29−ζ29−ζ41ζ41−ζ11ζ11−ζ47ζ47
χ421-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ461-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−1+i32−1−i321−i321+i32−ζ28ζ28−ζ44ζ44ζ10−ζ10−ζ46ζ46ζ26−ζ26−ζ14ζ141−1+i32−1−i32-11−i321+i32−ii−ζ28ζ28−ζ44ζ44−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10−ζ10−ζ46ζ46ζ26−ζ26−ζ14ζ14ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47−ζ13ζ13ζ25−ζ25ζ43−ζ43ζ31−ζ31−ζ29ζ29ζ41−ζ41ζ11−ζ11ζ47−ζ47
χ431-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ4611-1-1−ii−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46111-1-1-1−ii−ii−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43
χ441-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ4611-1-1−ii−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46111-1-1-1−ii−ii−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43
χ451-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−1−i32−1+i321+i321−i32−ζ44ζ44−ζ28ζ28−ζ26ζ26ζ14−ζ14−ζ10ζ10ζ46−ζ461−1−i32−1+i32-11+i321−i32−ii−ζ44ζ44−ζ28ζ28ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ26ζ26ζ14−ζ14−ζ10ζ10ζ46−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43ζ41−ζ41ζ29−ζ29−ζ47ζ47ζ11−ζ11ζ25−ζ25ζ13−ζ13−ζ31ζ31ζ43−ζ43
χ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−1−i32−1+i321+i321−i32−ζ44ζ44−ζ28ζ28−ζ26ζ26ζ14−ζ14−ζ10ζ10ζ46−ζ461−1−i32−1+i32-11+i321−i32−ii−ζ44ζ44−ζ28ζ28ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ26ζ26ζ14−ζ14−ζ10ζ10ζ46−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43−ζ41ζ41−ζ29ζ29ζ47−ζ47−ζ11ζ11−ζ25ζ25−ζ13ζ13ζ31−ζ31−ζ43ζ43
χ471-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−1+i32−1−i321−i321+i32−ζ28ζ28−ζ44ζ44−ζ10ζ10ζ46−ζ46−ζ26ζ26ζ14−ζ141−1+i32−1−i32-11−i321+i32−ii−ζ28ζ28−ζ44ζ44ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10ζ10ζ46−ζ46−ζ26ζ26ζ14−ζ14−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43ζ25−ζ25ζ13−ζ13−ζ31ζ31ζ43−ζ43ζ41−ζ41ζ29−ζ29−ζ47ζ47ζ11−ζ11
χ481-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−1+i32−1−i321−i321+i32−ζ28ζ28−ζ44ζ44−ζ10ζ10ζ46−ζ46−ζ26ζ26ζ14−ζ141−1+i32−1−i32-11−i321+i32−ii−ζ28ζ28−ζ44ζ44ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10ζ10ζ46−ζ46−ζ26ζ26ζ14−ζ14ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43−ζ25ζ25−ζ13ζ13ζ31−ζ31−ζ43ζ43−ζ41ζ41−ζ29ζ29ζ47−ζ47−ζ11ζ11
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χ522222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000
χ532222-2-2-2-22222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ542222-2-2-2-22222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
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χ5822-2-2−2i−2i2i2i22-2-2−2i−2i2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-1-1-1111111ii−i−iii−i−iii−i−i000000000000000000000000
χ5922-2-2−2i−2i2i2i22-2-2−2i−2i2i2i−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−2ζ44−2ζ442ζ442ζ44−2ζ28−2ζ282ζ282ζ28-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32ii−i−iζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ28000000000000000000000000
χ6022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−2ζ28−2ζ282ζ282ζ28−2ζ44−2ζ442ζ442ζ44-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32ii−i−iζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ44000000000000000000000000
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χ712-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−1−i3−1+i31+i31−i3−2ζ442ζ44−2ζ282ζ28−2ζ262ζ262ζ14−2ζ14−2ζ102ζ102ζ46−2ζ46-11+i321−i321−1−i32−1+i32i−iζ44−ζ44ζ28−ζ28−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ26−ζ26−ζ14ζ14ζ10−ζ10−ζ46ζ46000000000000000000000000
χ722-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−1+i3−1−i31−i31+i3−2ζ282ζ28−2ζ442ζ44−2ζ102ζ102ζ46−2ζ46−2ζ262ζ262ζ14−2ζ14-11−i321+i321−1+i32−1−i32i−iζ28−ζ28ζ44−ζ44−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10−ζ10−ζ46ζ46ζ26−ζ26−ζ14ζ14000000000000000000000000
χ7366666666-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000
χ746666-6-6-6-6-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000
χ7566-6-66i6i−6i−6i-3-333−3i−3i3i3i0000000000000000000000000000000000000000000000000000000000000000
χ7666-6-6−6i−6i6i6i-3-3333i3i−3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ776-66i−6i6ζ14+6ζ46−6ζ14−6ζ46−6ζ10−6ζ266ζ10+6ζ26-33−3i3i−3ζ14−3ζ463ζ14+3ζ463ζ10+3ζ26−3ζ10−3ζ260000000000000000000000000000000000000000000000000000000000000000
χ786-66i−6i−6ζ14−6ζ466ζ14+6ζ466ζ10+6ζ26−6ζ10−6ζ26-33−3i3i3ζ14+3ζ46−3ζ14−3ζ46−3ζ10−3ζ263ζ10+3ζ260000000000000000000000000000000000000000000000000000000000000000
χ796-6−6i6i−6ζ10−6ζ266ζ10+6ζ266ζ14+6ζ46−6ζ14−6ζ46-333i−3i3ζ10+3ζ26−3ζ10−3ζ26−3ζ14−3ζ463ζ14+3ζ460000000000000000000000000000000000000000000000000000000000000000
χ806-6−6i6i6ζ10+6ζ26−6ζ10−6ζ26−6ζ14−6ζ466ζ14+6ζ46-333i−3i−3ζ10−3ζ263ζ10+3ζ263ζ14+3ζ46−3ζ14−3ζ460000000000000000000000000000000000000000000000000000000000000000

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