Finite Group Databasebeta

← Group #6644

Character table — Group #6644

Order 240.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111144445555555555551111444455555555555511114444555555555555
order12445102020888816161616161616163612121530606024242424484848484848484836121215306060242424244848484848484848
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i
χ411111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii
χ511-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ711-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ811-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ91-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29
χ101-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29
χ111-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41
χ121-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41
χ131-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47
χ141-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47
χ151-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43
χ161-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43
χ174444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-1000000000000
χ1844-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-111000000000000
χ194-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii000000000000
χ204-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i000000000000
χ2111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ22111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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+i32
χ2311111111-1-1-1-1iiii−i−i−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44
χ2411111111-1-1-1-1−i−i−i−iiiii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44
χ2511-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ28ζ28−ζ28−ζ28−ζ46−ζ46ζ46ζ46−ζ10−ζ10ζ10ζ10−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ44ζ44−ζ44−ζ44−ζ14−ζ14ζ14ζ14−ζ26−ζ26ζ26ζ26
χ2611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ28ζ28−ζ28−ζ28ζ46ζ46−ζ46−ζ46ζ10ζ10−ζ10−ζ10−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ44ζ44−ζ44−ζ44ζ14ζ14−ζ14−ζ14ζ26ζ26−ζ26−ζ26
χ2711-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ28−ζ28ζ28ζ28−ζ10−ζ10ζ10ζ10−ζ46−ζ46ζ46ζ46−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ44−ζ44ζ44ζ44−ζ26−ζ26ζ26ζ26−ζ14−ζ14ζ14ζ14
χ2811-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ28−ζ28ζ28ζ28ζ10ζ10−ζ10−ζ10ζ46ζ46−ζ46−ζ46−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ44−ζ44ζ44ζ44ζ26ζ26−ζ26−ζ26ζ14ζ14−ζ14−ζ14
χ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28−ζ46ζ46−ζ10ζ10−ζ43ζ43ζ31−ζ31ζ25−ζ25−ζ13ζ13−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44−ζ14ζ14−ζ26ζ26−ζ11ζ11ζ47−ζ47ζ41−ζ41−ζ29ζ29
χ301-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28−ζ46ζ46−ζ10ζ10ζ43−ζ43−ζ31ζ31−ζ25ζ25ζ13−ζ13−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44−ζ14ζ14−ζ26ζ26ζ11−ζ11−ζ47ζ47−ζ41ζ41ζ29−ζ29
χ311-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28ζ46−ζ46ζ10−ζ10ζ31−ζ31ζ43−ζ43ζ13−ζ13ζ25−ζ25−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44ζ14−ζ14ζ26−ζ26ζ47−ζ47ζ11−ζ11ζ29−ζ29ζ41−ζ41
χ321-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28ζ46−ζ46ζ10−ζ10−ζ31ζ31−ζ43ζ43−ζ13ζ13−ζ25ζ25−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44ζ14−ζ14ζ26−ζ26−ζ47ζ47−ζ11ζ11−ζ29ζ29−ζ41ζ41
χ331-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47−1+i321−i32−ζ28ζ28−1+i321−i32−ζ28ζ28−ζ10ζ10−ζ46ζ46ζ25−ζ25ζ13−ζ13ζ43−ζ43ζ31−ζ31−1−i321+i32−ζ44ζ44−1−i321+i32−ζ44ζ44−ζ26ζ26−ζ14ζ14ζ41−ζ41ζ29−ζ29ζ11−ζ11ζ47−ζ47
χ341-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47−1+i321−i32−ζ28ζ28−1+i321−i32−ζ28ζ28−ζ10ζ10−ζ46ζ46−ζ25ζ25−ζ13ζ13−ζ43ζ43−ζ31ζ31−1−i321+i32−ζ44ζ44−1−i321+i32−ζ44ζ44−ζ26ζ26−ζ14ζ14−ζ41ζ41−ζ29ζ29−ζ11ζ11−ζ47ζ47
χ351-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43−1+i321−i32−ζ28ζ28−1+i321−i32−ζ28ζ28ζ10−ζ10ζ46−ζ46−ζ13ζ13ζ25−ζ25ζ31−ζ31−ζ43ζ43−1−i321+i32−ζ44ζ44−1−i321+i32−ζ44ζ44ζ26−ζ26ζ14−ζ14−ζ29ζ29ζ41−ζ41ζ47−ζ47−ζ11ζ11
χ361-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43−1+i321−i32−ζ28ζ28−1+i321−i32−ζ28ζ28ζ10−ζ10ζ46−ζ46ζ13−ζ13−ζ25ζ25−ζ31ζ31ζ43−ζ43−1−i321+i32−ζ44ζ44−1−i321+i32−ζ44ζ44ζ26−ζ26ζ14−ζ14ζ29−ζ29−ζ41ζ41−ζ47ζ47ζ11−ζ11
χ374444-1-1-1-1000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32000000000000
χ3844-4-4-1-111000000000000−2+2i3−2+2i32−2i32−2i31−i321−i32−1+i32−1+i32000000000000−2−2i3−2−2i32+2i32+2i31+i321+i32−1−i32−1−i32000000000000
χ394-44i−4i-11−ii000000000000−2+2i32−2i34ζ28−4ζ281−i32−1+i32−ζ28ζ28000000000000−2−2i32+2i34ζ44−4ζ441+i32−1−i32−ζ44ζ44000000000000
χ404-4−4i4i-11i−i000000000000−2+2i32−2i3−4ζ284ζ281−i32−1+i32ζ28−ζ28000000000000−2−2i32+2i3−4ζ444ζ441+i32−1−i32ζ44−ζ44000000000000
χ4111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ42111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−i32
χ4311111111-1-1-1-1iiii−i−i−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28
χ4411111111-1-1-1-1−i−i−i−iiiii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28
χ4511-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ44ζ44−ζ44−ζ44−ζ14−ζ14ζ14ζ14−ζ26−ζ26ζ26ζ26−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ28ζ28−ζ28−ζ28−ζ46−ζ46ζ46ζ46−ζ10−ζ10ζ10ζ10
χ4611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ44ζ44−ζ44−ζ44ζ14ζ14−ζ14−ζ14ζ26ζ26−ζ26−ζ26−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ28ζ28−ζ28−ζ28ζ46ζ46−ζ46−ζ46ζ10ζ10−ζ10−ζ10
χ4711-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ44−ζ44ζ44ζ44−ζ26−ζ26ζ26ζ26−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ28−ζ28ζ28ζ28−ζ10−ζ10ζ10ζ10−ζ46−ζ46ζ46ζ46
χ4811-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ44−ζ44ζ44ζ44ζ26ζ26−ζ26−ζ26ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ28−ζ28ζ28ζ28ζ10ζ10−ζ10−ζ10ζ46ζ46−ζ46−ζ46
χ491-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44−ζ14ζ14−ζ26ζ26−ζ11ζ11ζ47−ζ47ζ41−ζ41−ζ29ζ29−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28−ζ46ζ46−ζ10ζ10−ζ43ζ43ζ31−ζ31ζ25−ζ25−ζ13ζ13
χ501-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44−ζ14ζ14−ζ26ζ26ζ11−ζ11−ζ47ζ47−ζ41ζ41ζ29−ζ29−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28−ζ46ζ46−ζ10ζ10ζ43−ζ43−ζ31ζ31−ζ25ζ25ζ13−ζ13
χ511-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44ζ14−ζ14ζ26−ζ26ζ47−ζ47ζ11−ζ11ζ29−ζ29ζ41−ζ41−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28ζ46−ζ46ζ10−ζ10ζ31−ζ31ζ43−ζ43ζ13−ζ13ζ25−ζ25
χ521-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44ζ14−ζ14ζ26−ζ26−ζ47ζ47−ζ11ζ11−ζ29ζ29−ζ41ζ41−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28ζ46−ζ46ζ10−ζ10−ζ31ζ31−ζ43ζ43−ζ13ζ13−ζ25ζ25
χ531-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47−1−i321+i32−ζ44ζ44−1−i321+i32−ζ44ζ44−ζ26ζ26−ζ14ζ14ζ41−ζ41ζ29−ζ29ζ11−ζ11ζ47−ζ47−1+i321−i32−ζ28ζ28−1+i321−i32−ζ28ζ28−ζ10ζ10−ζ46ζ46ζ25−ζ25ζ13−ζ13ζ43−ζ43ζ31−ζ31
χ541-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47−1−i321+i32−ζ44ζ44−1−i321+i32−ζ44ζ44−ζ26ζ26−ζ14ζ14−ζ41ζ41−ζ29ζ29−ζ11ζ11−ζ47ζ47−1+i321−i32−ζ28ζ28−1+i321−i32−ζ28ζ28−ζ10ζ10−ζ46ζ46−ζ25ζ25−ζ13ζ13−ζ43ζ43−ζ31ζ31
χ551-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43−1−i321+i32−ζ44ζ44−1−i321+i32−ζ44ζ44ζ26−ζ26ζ14−ζ14−ζ29ζ29ζ41−ζ41ζ47−ζ47−ζ11ζ11−1+i321−i32−ζ28ζ28−1+i321−i32−ζ28ζ28ζ10−ζ10ζ46−ζ46−ζ13ζ13ζ25−ζ25ζ31−ζ31−ζ43ζ43
χ561-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43−1−i321+i32−ζ44ζ44−1−i321+i32−ζ44ζ44ζ26−ζ26ζ14−ζ14ζ29−ζ29−ζ41ζ41−ζ47ζ47ζ11−ζ11−1+i321−i32−ζ28ζ28−1+i321−i32−ζ28ζ28ζ10−ζ10ζ46−ζ46ζ13−ζ13−ζ25ζ25−ζ31ζ31ζ43−ζ43
χ574444-1-1-1-1000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32000000000000
χ5844-4-4-1-111000000000000−2−2i3−2−2i32+2i32+2i31+i321+i32−1−i32−1−i32000000000000−2+2i3−2+2i32−2i32−2i31−i321−i32−1+i32−1+i32000000000000
χ594-44i−4i-11−ii000000000000−2−2i32+2i34ζ44−4ζ441+i32−1−i32−ζ44ζ44000000000000−2+2i32−2i34ζ28−4ζ281−i32−1+i32−ζ28ζ28000000000000
χ604-4−4i4i-11i−i000000000000−2−2i32+2i3−4ζ444ζ441+i32−1−i32ζ44−ζ44000000000000−2+2i32−2i3−4ζ284ζ281−i32−1+i32ζ28−ζ28000000000000

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