Finite Group Databasebeta

← Group #4644

Character table — Group #4644

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111111111111333333333333333344444444444444444444444444444444
order116816416816216816416816216816416816216816416816348244812482448648244812482448348244812482448648244812482448
χ11111111111111111111111111111111111111111111111111111111111111111
χ21ζ11+ζ43ζ14+ζ46−ζ25−ζ41i−ζ31−ζ47ζ10+ζ26ζ13+ζ29-1−ζ11−ζ43−ζ14−ζ46ζ25+ζ41−iζ31+ζ47−ζ10−ζ26−ζ13−ζ291ζ11+ζ43ζ14+ζ46−ζ25−ζ41i−ζ31−ζ47ζ10+ζ26ζ13+ζ29-1−ζ11−ζ43−ζ14−ζ46ζ25+ζ41−iζ31+ζ47−ζ10−ζ26−ζ13−ζ291ζ11+ζ43ζ14+ζ46−ζ25−ζ41i−ζ31−ζ47ζ10+ζ26ζ13+ζ29-1−ζ11−ζ43−ζ14−ζ46ζ25+ζ41−iζ31+ζ47−ζ10−ζ26−ζ13−ζ291ζ11+ζ43ζ14+ζ46−ζ25−ζ41i−ζ31−ζ47ζ10+ζ26ζ13+ζ29-1−ζ11−ζ43−ζ14−ζ46ζ25+ζ41−iζ31+ζ47−ζ10−ζ26−ζ13−ζ29
χ31ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ26
χ41−ζ25−ζ41ζ10+ζ26−ζ11−ζ43−i−ζ13−ζ29ζ14+ζ46−ζ31−ζ47-1ζ25+ζ41−ζ10−ζ26ζ11+ζ43iζ13+ζ29−ζ14−ζ46ζ31+ζ471−ζ25−ζ41ζ10+ζ26−ζ11−ζ43−i−ζ13−ζ29ζ14+ζ46−ζ31−ζ47-1ζ25+ζ41−ζ10−ζ26ζ11+ζ43iζ13+ζ29−ζ14−ζ46ζ31+ζ471−ζ25−ζ41ζ10+ζ26−ζ11−ζ43−i−ζ13−ζ29ζ14+ζ46−ζ31−ζ47-1ζ25+ζ41−ζ10−ζ26ζ11+ζ43iζ13+ζ29−ζ14−ζ46ζ31+ζ471−ζ25−ζ41ζ10+ζ26−ζ11−ζ43−i−ζ13−ζ29ζ14+ζ46−ζ31−ζ47-1ζ25+ζ41−ζ10−ζ26ζ11+ζ43iζ13+ζ29−ζ14−ζ46ζ31+ζ47
χ51i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i
χ61−ζ31−ζ47−ζ14−ζ46−ζ13−ζ29i−ζ11−ζ43−ζ10−ζ26−ζ25−ζ41-1ζ31+ζ47ζ14+ζ46ζ13+ζ29−iζ11+ζ43ζ10+ζ26ζ25+ζ411−ζ31−ζ47−ζ14−ζ46−ζ13−ζ29i−ζ11−ζ43−ζ10−ζ26−ζ25−ζ41-1ζ31+ζ47ζ14+ζ46ζ13+ζ29−iζ11+ζ43ζ10+ζ26ζ25+ζ411−ζ31−ζ47−ζ14−ζ46−ζ13−ζ29i−ζ11−ζ43−ζ10−ζ26−ζ25−ζ41-1ζ31+ζ47ζ14+ζ46ζ13+ζ29−iζ11+ζ43ζ10+ζ26ζ25+ζ411−ζ31−ζ47−ζ14−ζ46−ζ13−ζ29i−ζ11−ζ43−ζ10−ζ26−ζ25−ζ41-1ζ31+ζ47ζ14+ζ46ζ13+ζ29−iζ11+ζ43ζ10+ζ26ζ25+ζ41
χ71ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ46
χ81ζ13+ζ29−ζ10−ζ26−ζ31−ζ47−i−ζ25−ζ41−ζ14−ζ46ζ11+ζ43-1−ζ13−ζ29ζ10+ζ26ζ31+ζ47iζ25+ζ41ζ14+ζ46−ζ11−ζ431ζ13+ζ29−ζ10−ζ26−ζ31−ζ47−i−ζ25−ζ41−ζ14−ζ46ζ11+ζ43-1−ζ13−ζ29ζ10+ζ26ζ31+ζ47iζ25+ζ41ζ14+ζ46−ζ11−ζ431ζ13+ζ29−ζ10−ζ26−ζ31−ζ47−i−ζ25−ζ41−ζ14−ζ46ζ11+ζ43-1−ζ13−ζ29ζ10+ζ26ζ31+ζ47iζ25+ζ41ζ14+ζ46−ζ11−ζ431ζ13+ζ29−ζ10−ζ26−ζ31−ζ47−i−ζ25−ζ41−ζ14−ζ46ζ11+ζ43-1−ζ13−ζ29ζ10+ζ26ζ31+ζ47iζ25+ζ41ζ14+ζ46−ζ11−ζ43
χ91-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1
χ101−ζ11−ζ43ζ14+ζ46ζ25+ζ41iζ31+ζ47ζ10+ζ26−ζ13−ζ29-1ζ11+ζ43−ζ14−ζ46−ζ25−ζ41−i−ζ31−ζ47−ζ10−ζ26ζ13+ζ291−ζ11−ζ43ζ14+ζ46ζ25+ζ41iζ31+ζ47ζ10+ζ26−ζ13−ζ29-1ζ11+ζ43−ζ14−ζ46−ζ25−ζ41−i−ζ31−ζ47−ζ10−ζ26ζ13+ζ291−ζ11−ζ43ζ14+ζ46ζ25+ζ41iζ31+ζ47ζ10+ζ26−ζ13−ζ29-1ζ11+ζ43−ζ14−ζ46−ζ25−ζ41−i−ζ31−ζ47−ζ10−ζ26ζ13+ζ291−ζ11−ζ43ζ14+ζ46ζ25+ζ41iζ31+ζ47ζ10+ζ26−ζ13−ζ29-1ζ11+ζ43−ζ14−ζ46−ζ25−ζ41−i−ζ31−ζ47−ζ10−ζ26ζ13+ζ29
χ111−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ26
χ121ζ25+ζ41ζ10+ζ26ζ11+ζ43−iζ13+ζ29ζ14+ζ46ζ31+ζ47-1−ζ25−ζ41−ζ10−ζ26−ζ11−ζ43i−ζ13−ζ29−ζ14−ζ46−ζ31−ζ471ζ25+ζ41ζ10+ζ26ζ11+ζ43−iζ13+ζ29ζ14+ζ46ζ31+ζ47-1−ζ25−ζ41−ζ10−ζ26−ζ11−ζ43i−ζ13−ζ29−ζ14−ζ46−ζ31−ζ471ζ25+ζ41ζ10+ζ26ζ11+ζ43−iζ13+ζ29ζ14+ζ46ζ31+ζ47-1−ζ25−ζ41−ζ10−ζ26−ζ11−ζ43i−ζ13−ζ29−ζ14−ζ46−ζ31−ζ471ζ25+ζ41ζ10+ζ26ζ11+ζ43−iζ13+ζ29ζ14+ζ46ζ31+ζ47-1−ζ25−ζ41−ζ10−ζ26−ζ11−ζ43i−ζ13−ζ29−ζ14−ζ46−ζ31−ζ47
χ131−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i
χ141ζ31+ζ47−ζ14−ζ46ζ13+ζ29iζ11+ζ43−ζ10−ζ26ζ25+ζ41-1−ζ31−ζ47ζ14+ζ46−ζ13−ζ29−i−ζ11−ζ43ζ10+ζ26−ζ25−ζ411ζ31+ζ47−ζ14−ζ46ζ13+ζ29iζ11+ζ43−ζ10−ζ26ζ25+ζ41-1−ζ31−ζ47ζ14+ζ46−ζ13−ζ29−i−ζ11−ζ43ζ10+ζ26−ζ25−ζ411ζ31+ζ47−ζ14−ζ46ζ13+ζ29iζ11+ζ43−ζ10−ζ26ζ25+ζ41-1−ζ31−ζ47ζ14+ζ46−ζ13−ζ29−i−ζ11−ζ43ζ10+ζ26−ζ25−ζ411ζ31+ζ47−ζ14−ζ46ζ13+ζ29iζ11+ζ43−ζ10−ζ26ζ25+ζ41-1−ζ31−ζ47ζ14+ζ46−ζ13−ζ29−i−ζ11−ζ43ζ10+ζ26−ζ25−ζ41
χ151−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ46
χ161−ζ13−ζ29−ζ10−ζ26ζ31+ζ47−iζ25+ζ41−ζ14−ζ46−ζ11−ζ43-1ζ13+ζ29ζ10+ζ26−ζ31−ζ47i−ζ25−ζ41ζ14+ζ46ζ11+ζ431−ζ13−ζ29−ζ10−ζ26ζ31+ζ47−iζ25+ζ41−ζ14−ζ46−ζ11−ζ43-1ζ13+ζ29ζ10+ζ26−ζ31−ζ47i−ζ25−ζ41ζ14+ζ46ζ11+ζ431−ζ13−ζ29−ζ10−ζ26ζ31+ζ47−iζ25+ζ41−ζ14−ζ46−ζ11−ζ43-1ζ13+ζ29ζ10+ζ26−ζ31−ζ47i−ζ25−ζ41ζ14+ζ46ζ11+ζ431−ζ13−ζ29−ζ10−ζ26ζ31+ζ47−iζ25+ζ41−ζ14−ζ46−ζ11−ζ43-1ζ13+ζ29ζ10+ζ26−ζ31−ζ47i−ζ25−ζ41ζ14+ζ46ζ11+ζ43
χ1711111111111111111111111111111111−1+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+i32−1−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
χ181ζ11+ζ43ζ14+ζ46−ζ25−ζ41i−ζ31−ζ47ζ10+ζ26ζ13+ζ29-1−ζ11−ζ43−ζ14−ζ46ζ25+ζ41−iζ31+ζ47−ζ10−ζ26−ζ13−ζ291ζ11+ζ43ζ14+ζ46−ζ25−ζ41i−ζ31−ζ47ζ10+ζ26ζ13+ζ29-1−ζ11−ζ43−ζ14−ζ46ζ25+ζ41−iζ31+ζ47−ζ10−ζ26−ζ13−ζ29−1+i32−ζ43−ζ46ζ25ζ28ζ31−ζ10−ζ131−i32ζ43ζ46−ζ25−ζ28−ζ31ζ10ζ13−1−i32−ζ11−ζ14ζ41ζ44ζ47−ζ26−ζ291+i32ζ11ζ14−ζ41−ζ44−ζ47ζ26ζ29
χ191ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ26−1+i32−ζ46ζ28−ζ101−i32ζ46−ζ28ζ10−1+i32−ζ46ζ28−ζ101−i32ζ46−ζ28ζ10−1−i32−ζ14ζ44−ζ261+i32ζ14−ζ44ζ26−1−i32−ζ14ζ44−ζ261+i32ζ14−ζ44ζ26
χ201−ζ25−ζ41ζ10+ζ26−ζ11−ζ43−i−ζ13−ζ29ζ14+ζ46−ζ31−ζ47-1ζ25+ζ41−ζ10−ζ26ζ11+ζ43iζ13+ζ29−ζ14−ζ46ζ31+ζ471−ζ25−ζ41ζ10+ζ26−ζ11−ζ43−i−ζ13−ζ29ζ14+ζ46−ζ31−ζ47-1ζ25+ζ41−ζ10−ζ26ζ11+ζ43iζ13+ζ29−ζ14−ζ46ζ31+ζ47−1+i32ζ25−ζ10ζ43−ζ28ζ13−ζ46ζ311−i32−ζ25ζ10−ζ43ζ28−ζ13ζ46−ζ31−1−i32ζ41−ζ26ζ11−ζ44ζ29−ζ14ζ471+i32−ζ41ζ26−ζ11ζ44−ζ29ζ14−ζ47
χ211i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i−1+i32ζ281−i32−ζ28−1+i32ζ281−i32−ζ28−1+i32ζ281−i32−ζ28−1+i32ζ281−i32−ζ28−1−i32ζ441+i32−ζ44−1−i32ζ441+i32−ζ44−1−i32ζ441+i32−ζ44−1−i32ζ441+i32−ζ44
χ221−ζ31−ζ47−ζ14−ζ46−ζ13−ζ29i−ζ11−ζ43−ζ10−ζ26−ζ25−ζ41-1ζ31+ζ47ζ14+ζ46ζ13+ζ29−iζ11+ζ43ζ10+ζ26ζ25+ζ411−ζ31−ζ47−ζ14−ζ46−ζ13−ζ29i−ζ11−ζ43−ζ10−ζ26−ζ25−ζ41-1ζ31+ζ47ζ14+ζ46ζ13+ζ29−iζ11+ζ43ζ10+ζ26ζ25+ζ41−1+i32ζ31ζ46ζ13ζ28ζ43ζ10ζ251−i32−ζ31−ζ46−ζ13−ζ28−ζ43−ζ10−ζ25−1−i32ζ47ζ14ζ29ζ44ζ11ζ26ζ411+i32−ζ47−ζ14−ζ29−ζ44−ζ11−ζ26−ζ41
χ231ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ46−1+i32−ζ10−ζ28−ζ461−i32ζ10ζ28ζ46−1+i32−ζ10−ζ28−ζ461−i32ζ10ζ28ζ46−1−i32−ζ26−ζ44−ζ141+i32ζ26ζ44ζ14−1−i32−ζ26−ζ44−ζ141+i32ζ26ζ44ζ14
χ241ζ13+ζ29−ζ10−ζ26−ζ31−ζ47−i−ζ25−ζ41−ζ14−ζ46ζ11+ζ43-1−ζ13−ζ29ζ10+ζ26ζ31+ζ47iζ25+ζ41ζ14+ζ46−ζ11−ζ431ζ13+ζ29−ζ10−ζ26−ζ31−ζ47−i−ζ25−ζ41−ζ14−ζ46ζ11+ζ43-1−ζ13−ζ29ζ10+ζ26ζ31+ζ47iζ25+ζ41ζ14+ζ46−ζ11−ζ43−1+i32−ζ13ζ10ζ31−ζ28ζ25ζ46−ζ431−i32ζ13−ζ10−ζ31ζ28−ζ25−ζ46ζ43−1−i32−ζ29ζ26ζ47−ζ44ζ41ζ14−ζ111+i32ζ29−ζ26−ζ47ζ44−ζ41−ζ14ζ11
χ251-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ261−ζ11−ζ43ζ14+ζ46ζ25+ζ41iζ31+ζ47ζ10+ζ26−ζ13−ζ29-1ζ11+ζ43−ζ14−ζ46−ζ25−ζ41−i−ζ31−ζ47−ζ10−ζ26ζ13+ζ291−ζ11−ζ43ζ14+ζ46ζ25+ζ41iζ31+ζ47ζ10+ζ26−ζ13−ζ29-1ζ11+ζ43−ζ14−ζ46−ζ25−ζ41−i−ζ31−ζ47−ζ10−ζ26ζ13+ζ29−1+i32ζ43−ζ46−ζ25ζ28−ζ31−ζ10ζ131−i32−ζ43ζ46ζ25−ζ28ζ31ζ10−ζ13−1−i32ζ11−ζ14−ζ41ζ44−ζ47−ζ26ζ291+i32−ζ11ζ14ζ41−ζ44ζ47ζ26−ζ29
χ271−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ26−1+i32ζ46ζ28ζ101−i32−ζ46−ζ28−ζ10−1+i32ζ46ζ28ζ101−i32−ζ46−ζ28−ζ10−1−i32ζ14ζ44ζ261+i32−ζ14−ζ44−ζ26−1−i32ζ14ζ44ζ261+i32−ζ14−ζ44−ζ26
χ281ζ25+ζ41ζ10+ζ26ζ11+ζ43−iζ13+ζ29ζ14+ζ46ζ31+ζ47-1−ζ25−ζ41−ζ10−ζ26−ζ11−ζ43i−ζ13−ζ29−ζ14−ζ46−ζ31−ζ471ζ25+ζ41ζ10+ζ26ζ11+ζ43−iζ13+ζ29ζ14+ζ46ζ31+ζ47-1−ζ25−ζ41−ζ10−ζ26−ζ11−ζ43i−ζ13−ζ29−ζ14−ζ46−ζ31−ζ47−1+i32−ζ25−ζ10−ζ43−ζ28−ζ13−ζ46−ζ311−i32ζ25ζ10ζ43ζ28ζ13ζ46ζ31−1−i32−ζ41−ζ26−ζ11−ζ44−ζ29−ζ14−ζ471+i32ζ41ζ26ζ11ζ44ζ29ζ14ζ47
χ291−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i−1+i32−ζ281−i32ζ28−1+i32−ζ281−i32ζ28−1+i32−ζ281−i32ζ28−1+i32−ζ281−i32ζ28−1−i32−ζ441+i32ζ44−1−i32−ζ441+i32ζ44−1−i32−ζ441+i32ζ44−1−i32−ζ441+i32ζ44
χ301ζ31+ζ47−ζ14−ζ46ζ13+ζ29iζ11+ζ43−ζ10−ζ26ζ25+ζ41-1−ζ31−ζ47ζ14+ζ46−ζ13−ζ29−i−ζ11−ζ43ζ10+ζ26−ζ25−ζ411ζ31+ζ47−ζ14−ζ46ζ13+ζ29iζ11+ζ43−ζ10−ζ26ζ25+ζ41-1−ζ31−ζ47ζ14+ζ46−ζ13−ζ29−i−ζ11−ζ43ζ10+ζ26−ζ25−ζ41−1+i32−ζ31ζ46−ζ13ζ28−ζ43ζ10−ζ251−i32ζ31−ζ46ζ13−ζ28ζ43−ζ10ζ25−1−i32−ζ47ζ14−ζ29ζ44−ζ11ζ26−ζ411+i32ζ47−ζ14ζ29−ζ44ζ11−ζ26ζ41
χ311−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ46−1+i32ζ10−ζ28ζ461−i32−ζ10ζ28−ζ46−1+i32ζ10−ζ28ζ461−i32−ζ10ζ28−ζ46−1−i32ζ26−ζ44ζ141+i32−ζ26ζ44−ζ14−1−i32ζ26−ζ44ζ141+i32−ζ26ζ44−ζ14
χ321−ζ13−ζ29−ζ10−ζ26ζ31+ζ47−iζ25+ζ41−ζ14−ζ46−ζ11−ζ43-1ζ13+ζ29ζ10+ζ26−ζ31−ζ47i−ζ25−ζ41ζ14+ζ46ζ11+ζ431−ζ13−ζ29−ζ10−ζ26ζ31+ζ47−iζ25+ζ41−ζ14−ζ46−ζ11−ζ43-1ζ13+ζ29ζ10+ζ26−ζ31−ζ47i−ζ25−ζ41ζ14+ζ46ζ11+ζ43−1+i32ζ13ζ10−ζ31−ζ28−ζ25ζ46ζ431−i32−ζ13−ζ10ζ31ζ28ζ25−ζ46−ζ43−1−i32ζ29ζ26−ζ47−ζ44−ζ41ζ14ζ111+i32−ζ29−ζ26ζ47ζ44ζ41−ζ14−ζ11
χ3311111111111111111111111111111111−1−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−i32−1+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
χ341ζ11+ζ43ζ14+ζ46−ζ25−ζ41i−ζ31−ζ47ζ10+ζ26ζ13+ζ29-1−ζ11−ζ43−ζ14−ζ46ζ25+ζ41−iζ31+ζ47−ζ10−ζ26−ζ13−ζ291ζ11+ζ43ζ14+ζ46−ζ25−ζ41i−ζ31−ζ47ζ10+ζ26ζ13+ζ29-1−ζ11−ζ43−ζ14−ζ46ζ25+ζ41−iζ31+ζ47−ζ10−ζ26−ζ13−ζ29−1−i32−ζ11−ζ14ζ41ζ44ζ47−ζ26−ζ291+i32ζ11ζ14−ζ41−ζ44−ζ47ζ26ζ29−1+i32−ζ43−ζ46ζ25ζ28ζ31−ζ10−ζ131−i32ζ43ζ46−ζ25−ζ28−ζ31ζ10ζ13
χ351ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ26−1−i32−ζ14ζ44−ζ261+i32ζ14−ζ44ζ26−1−i32−ζ14ζ44−ζ261+i32ζ14−ζ44ζ26−1+i32−ζ46ζ28−ζ101−i32ζ46−ζ28ζ10−1+i32−ζ46ζ28−ζ101−i32ζ46−ζ28ζ10
χ361−ζ25−ζ41ζ10+ζ26−ζ11−ζ43−i−ζ13−ζ29ζ14+ζ46−ζ31−ζ47-1ζ25+ζ41−ζ10−ζ26ζ11+ζ43iζ13+ζ29−ζ14−ζ46ζ31+ζ471−ζ25−ζ41ζ10+ζ26−ζ11−ζ43−i−ζ13−ζ29ζ14+ζ46−ζ31−ζ47-1ζ25+ζ41−ζ10−ζ26ζ11+ζ43iζ13+ζ29−ζ14−ζ46ζ31+ζ47−1−i32ζ41−ζ26ζ11−ζ44ζ29−ζ14ζ471+i32−ζ41ζ26−ζ11ζ44−ζ29ζ14−ζ47−1+i32ζ25−ζ10ζ43−ζ28ζ13−ζ46ζ311−i32−ζ25ζ10−ζ43ζ28−ζ13ζ46−ζ31
χ371i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i−1−i32ζ441+i32−ζ44−1−i32ζ441+i32−ζ44−1−i32ζ441+i32−ζ44−1−i32ζ441+i32−ζ44−1+i32ζ281−i32−ζ28−1+i32ζ281−i32−ζ28−1+i32ζ281−i32−ζ28−1+i32ζ281−i32−ζ28
χ381−ζ31−ζ47−ζ14−ζ46−ζ13−ζ29i−ζ11−ζ43−ζ10−ζ26−ζ25−ζ41-1ζ31+ζ47ζ14+ζ46ζ13+ζ29−iζ11+ζ43ζ10+ζ26ζ25+ζ411−ζ31−ζ47−ζ14−ζ46−ζ13−ζ29i−ζ11−ζ43−ζ10−ζ26−ζ25−ζ41-1ζ31+ζ47ζ14+ζ46ζ13+ζ29−iζ11+ζ43ζ10+ζ26ζ25+ζ41−1−i32ζ47ζ14ζ29ζ44ζ11ζ26ζ411+i32−ζ47−ζ14−ζ29−ζ44−ζ11−ζ26−ζ41−1+i32ζ31ζ46ζ13ζ28ζ43ζ10ζ251−i32−ζ31−ζ46−ζ13−ζ28−ζ43−ζ10−ζ25
χ391ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ46−1−i32−ζ26−ζ44−ζ141+i32ζ26ζ44ζ14−1−i32−ζ26−ζ44−ζ141+i32ζ26ζ44ζ14−1+i32−ζ10−ζ28−ζ461−i32ζ10ζ28ζ46−1+i32−ζ10−ζ28−ζ461−i32ζ10ζ28ζ46
χ401ζ13+ζ29−ζ10−ζ26−ζ31−ζ47−i−ζ25−ζ41−ζ14−ζ46ζ11+ζ43-1−ζ13−ζ29ζ10+ζ26ζ31+ζ47iζ25+ζ41ζ14+ζ46−ζ11−ζ431ζ13+ζ29−ζ10−ζ26−ζ31−ζ47−i−ζ25−ζ41−ζ14−ζ46ζ11+ζ43-1−ζ13−ζ29ζ10+ζ26ζ31+ζ47iζ25+ζ41ζ14+ζ46−ζ11−ζ43−1−i32−ζ29ζ26ζ47−ζ44ζ41ζ14−ζ111+i32ζ29−ζ26−ζ47ζ44−ζ41−ζ14ζ11−1+i32−ζ13ζ10ζ31−ζ28ζ25ζ46−ζ431−i32ζ13−ζ10−ζ31ζ28−ζ25−ζ46ζ43
χ411-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ421−ζ11−ζ43ζ14+ζ46ζ25+ζ41iζ31+ζ47ζ10+ζ26−ζ13−ζ29-1ζ11+ζ43−ζ14−ζ46−ζ25−ζ41−i−ζ31−ζ47−ζ10−ζ26ζ13+ζ291−ζ11−ζ43ζ14+ζ46ζ25+ζ41iζ31+ζ47ζ10+ζ26−ζ13−ζ29-1ζ11+ζ43−ζ14−ζ46−ζ25−ζ41−i−ζ31−ζ47−ζ10−ζ26ζ13+ζ29−1−i32ζ11−ζ14−ζ41ζ44−ζ47−ζ26ζ291+i32−ζ11ζ14ζ41−ζ44ζ47ζ26−ζ29−1+i32ζ43−ζ46−ζ25ζ28−ζ31−ζ10ζ131−i32−ζ43ζ46ζ25−ζ28ζ31ζ10−ζ13
χ431−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ26−1−i32ζ14ζ44ζ261+i32−ζ14−ζ44−ζ26−1−i32ζ14ζ44ζ261+i32−ζ14−ζ44−ζ26−1+i32ζ46ζ28ζ101−i32−ζ46−ζ28−ζ10−1+i32ζ46ζ28ζ101−i32−ζ46−ζ28−ζ10
χ441ζ25+ζ41ζ10+ζ26ζ11+ζ43−iζ13+ζ29ζ14+ζ46ζ31+ζ47-1−ζ25−ζ41−ζ10−ζ26−ζ11−ζ43i−ζ13−ζ29−ζ14−ζ46−ζ31−ζ471ζ25+ζ41ζ10+ζ26ζ11+ζ43−iζ13+ζ29ζ14+ζ46ζ31+ζ47-1−ζ25−ζ41−ζ10−ζ26−ζ11−ζ43i−ζ13−ζ29−ζ14−ζ46−ζ31−ζ47−1−i32−ζ41−ζ26−ζ11−ζ44−ζ29−ζ14−ζ471+i32ζ41ζ26ζ11ζ44ζ29ζ14ζ47−1+i32−ζ25−ζ10−ζ43−ζ28−ζ13−ζ46−ζ311−i32ζ25ζ10ζ43ζ28ζ13ζ46ζ31
χ451−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i−1−i32−ζ441+i32ζ44−1−i32−ζ441+i32ζ44−1−i32−ζ441+i32ζ44−1−i32−ζ441+i32ζ44−1+i32−ζ281−i32ζ28−1+i32−ζ281−i32ζ28−1+i32−ζ281−i32ζ28−1+i32−ζ281−i32ζ28
χ461ζ31+ζ47−ζ14−ζ46ζ13+ζ29iζ11+ζ43−ζ10−ζ26ζ25+ζ41-1−ζ31−ζ47ζ14+ζ46−ζ13−ζ29−i−ζ11−ζ43ζ10+ζ26−ζ25−ζ411ζ31+ζ47−ζ14−ζ46ζ13+ζ29iζ11+ζ43−ζ10−ζ26ζ25+ζ41-1−ζ31−ζ47ζ14+ζ46−ζ13−ζ29−i−ζ11−ζ43ζ10+ζ26−ζ25−ζ41−1−i32−ζ47ζ14−ζ29ζ44−ζ11ζ26−ζ411+i32ζ47−ζ14ζ29−ζ44ζ11−ζ26ζ41−1+i32−ζ31ζ46−ζ13ζ28−ζ43ζ10−ζ251−i32ζ31−ζ46ζ13−ζ28ζ43−ζ10ζ25
χ471−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ46−1−i32ζ26−ζ44ζ141+i32−ζ26ζ44−ζ14−1−i32ζ26−ζ44ζ141+i32−ζ26ζ44−ζ14−1+i32ζ10−ζ28ζ461−i32−ζ10ζ28−ζ46−1+i32ζ10−ζ28ζ461−i32−ζ10ζ28−ζ46
χ481−ζ13−ζ29−ζ10−ζ26ζ31+ζ47−iζ25+ζ41−ζ14−ζ46−ζ11−ζ43-1ζ13+ζ29ζ10+ζ26−ζ31−ζ47i−ζ25−ζ41ζ14+ζ46ζ11+ζ431−ζ13−ζ29−ζ10−ζ26ζ31+ζ47−iζ25+ζ41−ζ14−ζ46−ζ11−ζ43-1ζ13+ζ29ζ10+ζ26−ζ31−ζ47i−ζ25−ζ41ζ14+ζ46ζ11+ζ43−1−i32ζ29ζ26−ζ47−ζ44−ζ41ζ14ζ111+i32−ζ29−ζ26ζ47ζ44ζ41−ζ14−ζ11−1+i32ζ13ζ10−ζ31−ζ28−ζ25ζ46ζ431−i32−ζ13−ζ10ζ31ζ28ζ25−ζ46−ζ43
χ493333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ5033ζ11+3ζ433ζ14+3ζ46−3ζ25−3ζ413i−3ζ31−3ζ473ζ10+3ζ263ζ13+3ζ29-3−3ζ11−3ζ43−3ζ14−3ζ463ζ25+3ζ41−3i3ζ31+3ζ47−3ζ10−3ζ26−3ζ13−3ζ29-1−ζ11−ζ43−ζ14−ζ46ζ25+ζ41−iζ31+ζ47−ζ10−ζ26−ζ13−ζ291ζ11+ζ43ζ14+ζ46−ζ25−ζ41i−ζ31−ζ47ζ10+ζ26ζ13+ζ2900000000000000000000000000000000
χ5133ζ14+3ζ463i3ζ10+3ζ26-3−3ζ14−3ζ46−3i−3ζ10−3ζ2633ζ14+3ζ463i3ζ10+3ζ26-3−3ζ14−3ζ46−3i−3ζ10−3ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ26-1−ζ14−ζ46−i−ζ10−ζ261ζ14+ζ46iζ10+ζ2600000000000000000000000000000000
χ523−3ζ25−3ζ413ζ10+3ζ26−3ζ11−3ζ43−3i−3ζ13−3ζ293ζ14+3ζ46−3ζ31−3ζ47-33ζ25+3ζ41−3ζ10−3ζ263ζ11+3ζ433i3ζ13+3ζ29−3ζ14−3ζ463ζ31+3ζ47-1ζ25+ζ41−ζ10−ζ26ζ11+ζ43iζ13+ζ29−ζ14−ζ46ζ31+ζ471−ζ25−ζ41ζ10+ζ26−ζ11−ζ43−i−ζ13−ζ29ζ14+ζ46−ζ31−ζ4700000000000000000000000000000000
χ5333i-3−3i33i-3−3i33i-3−3i33i-3−3i-1−i1i-1−i1i-1−i1i-1−i1i00000000000000000000000000000000
χ543−3ζ31−3ζ47−3ζ14−3ζ46−3ζ13−3ζ293i−3ζ11−3ζ43−3ζ10−3ζ26−3ζ25−3ζ41-33ζ31+3ζ473ζ14+3ζ463ζ13+3ζ29−3i3ζ11+3ζ433ζ10+3ζ263ζ25+3ζ41-1ζ31+ζ47ζ14+ζ46ζ13+ζ29−iζ11+ζ43ζ10+ζ26ζ25+ζ411−ζ31−ζ47−ζ14−ζ46−ζ13−ζ29i−ζ11−ζ43−ζ10−ζ26−ζ25−ζ4100000000000000000000000000000000
χ5533ζ10+3ζ26−3i3ζ14+3ζ46-3−3ζ10−3ζ263i−3ζ14−3ζ4633ζ10+3ζ26−3i3ζ14+3ζ46-3−3ζ10−3ζ263i−3ζ14−3ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ46-1−ζ10−ζ26i−ζ14−ζ461ζ10+ζ26−iζ14+ζ4600000000000000000000000000000000
χ5633ζ13+3ζ29−3ζ10−3ζ26−3ζ31−3ζ47−3i−3ζ25−3ζ41−3ζ14−3ζ463ζ11+3ζ43-3−3ζ13−3ζ293ζ10+3ζ263ζ31+3ζ473i3ζ25+3ζ413ζ14+3ζ46−3ζ11−3ζ43-1−ζ13−ζ29ζ10+ζ26ζ31+ζ47iζ25+ζ41ζ14+ζ46−ζ11−ζ431ζ13+ζ29−ζ10−ζ26−ζ31−ζ47−i−ζ25−ζ41−ζ14−ζ46ζ11+ζ4300000000000000000000000000000000
χ573-33-33-33-33-33-33-33-3-11-11-11-11-11-11-11-1100000000000000000000000000000000
χ583−3ζ11−3ζ433ζ14+3ζ463ζ25+3ζ413i3ζ31+3ζ473ζ10+3ζ26−3ζ13−3ζ29-33ζ11+3ζ43−3ζ14−3ζ46−3ζ25−3ζ41−3i−3ζ31−3ζ47−3ζ10−3ζ263ζ13+3ζ29-1ζ11+ζ43−ζ14−ζ46−ζ25−ζ41−i−ζ31−ζ47−ζ10−ζ26ζ13+ζ291−ζ11−ζ43ζ14+ζ46ζ25+ζ41iζ31+ζ47ζ10+ζ26−ζ13−ζ2900000000000000000000000000000000
χ593−3ζ14−3ζ463i−3ζ10−3ζ26-33ζ14+3ζ46−3i3ζ10+3ζ263−3ζ14−3ζ463i−3ζ10−3ζ26-33ζ14+3ζ46−3i3ζ10+3ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ26-1ζ14+ζ46−iζ10+ζ261−ζ14−ζ46i−ζ10−ζ2600000000000000000000000000000000
χ6033ζ25+3ζ413ζ10+3ζ263ζ11+3ζ43−3i3ζ13+3ζ293ζ14+3ζ463ζ31+3ζ47-3−3ζ25−3ζ41−3ζ10−3ζ26−3ζ11−3ζ433i−3ζ13−3ζ29−3ζ14−3ζ46−3ζ31−3ζ47-1−ζ25−ζ41−ζ10−ζ26−ζ11−ζ43i−ζ13−ζ29−ζ14−ζ46−ζ31−ζ471ζ25+ζ41ζ10+ζ26ζ11+ζ43−iζ13+ζ29ζ14+ζ46ζ31+ζ4700000000000000000000000000000000
χ613−3i-33i3−3i-33i3−3i-33i3−3i-33i-1i1−i-1i1−i-1i1−i-1i1−i00000000000000000000000000000000
χ6233ζ31+3ζ47−3ζ14−3ζ463ζ13+3ζ293i3ζ11+3ζ43−3ζ10−3ζ263ζ25+3ζ41-3−3ζ31−3ζ473ζ14+3ζ46−3ζ13−3ζ29−3i−3ζ11−3ζ433ζ10+3ζ26−3ζ25−3ζ41-1−ζ31−ζ47ζ14+ζ46−ζ13−ζ29−i−ζ11−ζ43ζ10+ζ26−ζ25−ζ411ζ31+ζ47−ζ14−ζ46ζ13+ζ29iζ11+ζ43−ζ10−ζ26ζ25+ζ4100000000000000000000000000000000
χ633−3ζ10−3ζ26−3i−3ζ14−3ζ46-33ζ10+3ζ263i3ζ14+3ζ463−3ζ10−3ζ26−3i−3ζ14−3ζ46-33ζ10+3ζ263i3ζ14+3ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ46-1ζ10+ζ26iζ14+ζ461−ζ10−ζ26−i−ζ14−ζ4600000000000000000000000000000000
χ643−3ζ13−3ζ29−3ζ10−3ζ263ζ31+3ζ47−3i3ζ25+3ζ41−3ζ14−3ζ46−3ζ11−3ζ43-33ζ13+3ζ293ζ10+3ζ26−3ζ31−3ζ473i−3ζ25−3ζ413ζ14+3ζ463ζ11+3ζ43-1ζ13+ζ29ζ10+ζ26−ζ31−ζ47i−ζ25−ζ41ζ14+ζ46ζ11+ζ431−ζ13−ζ29−ζ10−ζ26ζ31+ζ47−iζ25+ζ41−ζ14−ζ46−ζ11−ζ4300000000000000000000000000000000

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