Finite Group Databasebeta

← Group #4645

Character table — Group #4645

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111111111114444444444444444444444444444444466666666
order124488881616161616161616336612121212242424242424242448484848484848484848484848484848248816161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111−1−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+i3211111111
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−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−i3211111111
χ411111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ511111111-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111-1-1-1-1
χ611111111-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111-1-1-1-1
χ71111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i
χ81111-1-1-1-1iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ2811-1-1ii−i−i
χ91111-1-1-1-1iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ4411-1-1ii−i−i
χ101111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii
χ111111-1-1-1-1−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ2811-1-1−i−iii
χ121111-1-1-1-1−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ4411-1-1−i−iii
χ1311-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261111-1-1-1-1ii−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+ζ26-11i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1411-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ28−ζ14−ζ14ζ14ζ14ζ26ζ26−ζ26−ζ26−ζ46−ζ46ζ46ζ46ζ10ζ10−ζ10−ζ10-11i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1511-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ44−ζ46−ζ46ζ46ζ46ζ10ζ10−ζ10−ζ10−ζ14−ζ14ζ14ζ14ζ26ζ26−ζ26−ζ26-11i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1611-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261111-1-1-1-1ii−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−ζ26-11i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1711-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32ζ44ζ44−ζ44−ζ44ζ28ζ28−ζ28−ζ28ζ14ζ14−ζ14−ζ14−ζ26−ζ26ζ26ζ26ζ46ζ46−ζ46−ζ46−ζ10−ζ10ζ10ζ10-11i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1811-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32ζ28ζ28−ζ28−ζ28ζ44ζ44−ζ44−ζ44ζ46ζ46−ζ46−ζ46−ζ10−ζ10ζ10ζ10ζ14ζ14−ζ14−ζ14−ζ26−ζ26ζ26ζ26-11i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1911-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461111-1-1-1-1−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−ζ46-11−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2011-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ28ζ26ζ26−ζ26−ζ26−ζ14−ζ14ζ14ζ14ζ10ζ10−ζ10−ζ10−ζ46−ζ46ζ46ζ46-11−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ28−ζ28ζ28ζ28−ζ44−ζ44ζ44ζ44ζ10ζ10−ζ10−ζ10−ζ46−ζ46ζ46ζ46ζ26ζ26−ζ26−ζ26−ζ14−ζ14ζ14ζ14-11−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2211-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461111-1-1-1-1−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+ζ46-11−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ2311-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ζ44−ζ44ζ44ζ44−ζ28−ζ28ζ28ζ28−ζ26−ζ26ζ26ζ26ζ14ζ14−ζ14−ζ14−ζ10−ζ10ζ10ζ10ζ46ζ46−ζ46−ζ46-11−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ2411-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ28−ζ28ζ28ζ28−ζ44−ζ44ζ44ζ44−ζ10−ζ10ζ10ζ10ζ46ζ46−ζ46−ζ46−ζ26−ζ26ζ26ζ26ζ14ζ14−ζ14−ζ14-11−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ252-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41-1-111i−ii−iζ14+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+ζ4100000000
χ262-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ411+i321−i32−1−i32−1+i32ζ44−ζ44ζ28−ζ28−ζ14ζ14ζ26−ζ26−ζ46ζ46ζ10−ζ10−ζ11ζ11ζ47−ζ47ζ29−ζ29ζ41−ζ41−ζ43ζ43ζ31−ζ31ζ13−ζ13ζ25−ζ2500000000
χ272-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ411−i321+i32−1+i32−1−i32ζ28−ζ28ζ44−ζ44−ζ46ζ46ζ10−ζ10−ζ14ζ14ζ26−ζ26−ζ43ζ43ζ31−ζ31ζ13−ζ13ζ25−ζ25−ζ11ζ11ζ47−ζ47ζ29−ζ29ζ41−ζ4100000000
χ282-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41-1-111i−ii−iζ14+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−ζ4100000000
χ292-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ411+i321−i32−1−i32−1+i32ζ44−ζ44ζ28−ζ28−ζ14ζ14ζ26−ζ26−ζ46ζ46ζ10−ζ10ζ11−ζ11−ζ47ζ47−ζ29ζ29−ζ41ζ41ζ43−ζ43−ζ31ζ31−ζ13ζ13−ζ25ζ2500000000
χ302-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ411−i321+i32−1+i32−1−i32ζ28−ζ28ζ44−ζ44−ζ46ζ46ζ10−ζ10−ζ14ζ14ζ26−ζ26ζ43−ζ43−ζ31ζ31−ζ13ζ13−ζ25ζ25ζ11−ζ11−ζ47ζ47−ζ29ζ29−ζ41ζ4100000000
χ312-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ29-1-111i−ii−i−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+ζ2900000000
χ322-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ291+i321−i32−1−i32−1+i32ζ44−ζ44ζ28−ζ28ζ14−ζ14−ζ26ζ26ζ46−ζ46−ζ10ζ10ζ47−ζ47ζ11−ζ11−ζ41ζ41ζ29−ζ29ζ31−ζ31ζ43−ζ43−ζ25ζ25ζ13−ζ1300000000
χ332-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ291−i321+i32−1+i32−1−i32ζ28−ζ28ζ44−ζ44ζ46−ζ46−ζ10ζ10ζ14−ζ14−ζ26ζ26ζ31−ζ31ζ43−ζ43−ζ25ζ25ζ13−ζ13ζ47−ζ47ζ11−ζ11−ζ41ζ41ζ29−ζ2900000000
χ342-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ29-1-111i−ii−i−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−ζ2900000000
χ352-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ291+i321−i32−1−i32−1+i32ζ44−ζ44ζ28−ζ28ζ14−ζ14−ζ26ζ26ζ46−ζ46−ζ10ζ10−ζ47ζ47−ζ11ζ11ζ41−ζ41−ζ29ζ29−ζ31ζ31−ζ43ζ43ζ25−ζ25−ζ13ζ1300000000
χ362-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ291−i321+i32−1+i32−1−i32ζ28−ζ28ζ44−ζ44ζ46−ζ46−ζ10ζ10ζ14−ζ14−ζ26ζ26−ζ31ζ31−ζ43ζ43ζ25−ζ25−ζ13ζ13−ζ47ζ47−ζ11ζ11ζ41−ζ41−ζ29ζ2900000000
χ372-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ47-1-111−ii−ii−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−ζ4700000000
χ382-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ471+i321−i32−1−i32−1+i32−ζ44ζ44−ζ28ζ28ζ26−ζ26−ζ14ζ14ζ10−ζ10−ζ46ζ46ζ29−ζ29−ζ41ζ41−ζ11ζ11−ζ47ζ47ζ13−ζ13−ζ25ζ25−ζ43ζ43−ζ31ζ3100000000
χ392-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ471−i321+i32−1+i32−1−i32−ζ28ζ28−ζ44ζ44ζ10−ζ10−ζ46ζ46ζ26−ζ26−ζ14ζ14ζ13−ζ13−ζ25ζ25−ζ43ζ43−ζ31ζ31ζ29−ζ29−ζ41ζ41−ζ11ζ11−ζ47ζ4700000000
χ402-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ47-1-111−ii−ii−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+ζ4700000000
χ412-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ471+i321−i32−1−i32−1+i32−ζ44ζ44−ζ28ζ28ζ26−ζ26−ζ14ζ14ζ10−ζ10−ζ46ζ46−ζ29ζ29ζ41−ζ41ζ11−ζ11ζ47−ζ47−ζ13ζ13ζ25−ζ25ζ43−ζ43ζ31−ζ3100000000
χ422-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ471−i321+i32−1+i32−1−i32−ζ28ζ28−ζ44ζ44ζ10−ζ10−ζ46ζ46ζ26−ζ26−ζ14ζ14−ζ13ζ13ζ25−ζ25ζ43−ζ43ζ31−ζ31−ζ29ζ29ζ41−ζ41ζ11−ζ11ζ47−ζ4700000000
χ432-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43-1-111−ii−iiζ10+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+ζ4300000000
χ442-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ431+i321−i32−1−i32−1+i32−ζ44ζ44−ζ28ζ28−ζ26ζ26ζ14−ζ14−ζ10ζ10ζ46−ζ46ζ41−ζ41ζ29−ζ29−ζ47ζ47ζ11−ζ11ζ25−ζ25ζ13−ζ13−ζ31ζ31ζ43−ζ4300000000
χ452-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ431−i321+i32−1+i32−1−i32−ζ28ζ28−ζ44ζ44−ζ10ζ10ζ46−ζ46−ζ26ζ26ζ14−ζ14ζ25−ζ25ζ13−ζ13−ζ31ζ31ζ43−ζ43ζ41−ζ41ζ29−ζ29−ζ47ζ47ζ11−ζ1100000000
χ462-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ43-1-111−ii−iiζ10+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−ζ4300000000
χ472-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ431+i321−i32−1−i32−1+i32−ζ44ζ44−ζ28ζ28−ζ26ζ26ζ14−ζ14−ζ10ζ10ζ46−ζ46−ζ41ζ41−ζ29ζ29ζ47−ζ47−ζ11ζ11−ζ25ζ25−ζ13ζ13ζ31−ζ31−ζ43ζ4300000000
χ482-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ431−i321+i32−1+i32−1−i32−ζ28ζ28−ζ44ζ44−ζ10ζ10ζ46−ζ46−ζ26ζ26ζ14−ζ14−ζ25ζ25−ζ13ζ13ζ31−ζ31−ζ43ζ43−ζ41ζ41−ζ29ζ29ζ47−ζ47−ζ11ζ1100000000
χ49333333333333333300000000000000000000000000000000-1-1-1-1-1-1-1-1
χ5033333333-3-3-3-3-3-3-3-300000000000000000000000000000000-1-1-1-11111
χ513333-3-3-3-33i3i3i3i−3i−3i−3i−3i00000000000000000000000000000000-1-111−i−iii
χ523333-3-3-3-3−3i−3i−3i−3i3i3i3i3i00000000000000000000000000000000-1-111ii−i−i
χ5333-3-33i3i−3i−3i3ζ14+3ζ463ζ14+3ζ46−3ζ14−3ζ46−3ζ14−3ζ46−3ζ10−3ζ26−3ζ10−3ζ263ζ10+3ζ263ζ10+3ζ26000000000000000000000000000000001-1−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ5433-3-33i3i−3i−3i−3ζ14−3ζ46−3ζ14−3ζ463ζ14+3ζ463ζ14+3ζ463ζ10+3ζ263ζ10+3ζ26−3ζ10−3ζ26−3ζ10−3ζ26000000000000000000000000000000001-1−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ5533-3-3−3i−3i3i3i−3ζ10−3ζ26−3ζ10−3ζ263ζ10+3ζ263ζ10+3ζ263ζ14+3ζ463ζ14+3ζ46−3ζ14−3ζ46−3ζ14−3ζ46000000000000000000000000000000001-1i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ5633-3-3−3i−3i3i3i3ζ10+3ζ263ζ10+3ζ26−3ζ10−3ζ26−3ζ10−3ζ26−3ζ14−3ζ46−3ζ14−3ζ463ζ14+3ζ463ζ14+3ζ46000000000000000000000000000000001-1i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46

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