Finite Group Databasebeta

← Group #13051918

Character table — Group #13051918

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444466666666777777771212121212121212121212121414141414141414141414142828282828282828282828282828282828282828282828282828282828282828
order12224444442244714141428282828336666661414141428282828282828281212121212121212121212124444666688881212121212121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ41111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ51111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ61111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ71111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ81111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111+i321+i321−i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ101111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i3211111+i321+i321−i321−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
χ111111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111−i321−i321+i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ121111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i3211111−i321−i321+i321+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
χ131111-1-1-1-11111-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ141111-1-1-1-11111-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ151111-1-1-1-11111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ161111-1-1-1-11111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ171111-1-1-1-11111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ181111-1-1-1-11111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ191111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ201111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1
χ211111-1-1-1-111-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ221111-1-1-1-111-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ231111-1-1-1-111-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ241111-1-1-1-111-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ251-11-1i−ii−i1-11-1i−i11-1-1ii−i−i11-1-111-1-111-1-11-1i−iii−i−ii−ii−ii−ii−i1-11-11-1i−i1-11-11-1i−i1-11-1i−ii−ii−ii−i1-1i−i1-1i−i
χ261-11-1i−ii−i1-11-1i−i11-1-1ii−i−i11-1-111-1-111-1-11-1i−iii−i−ii−ii−ii−ii−i1-11-1-11−ii1-11-1-11−ii-11-11i−ii−i−ii−ii-11−ii-11−ii
χ271-11-1i−ii−i1-11-1i−i11-1-1ii−i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3211-1-11-1i−iii−i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32−1+i321−i321-1i−i−1−i321+i32−1+i321−i321-1i−i−1−i321+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ281-11-1i−ii−i1-11-1i−i11-1-1ii−i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3211-1-11-1i−iii−i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32−1+i321−i32-11−ii−1−i321+i32−1+i321−i32-11−ii1+i32−1−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791+i32−1−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831−i32−1+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ291-11-1i−ii−i1-11-1i−i11-1-1ii−i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3211-1-11-1i−iii−i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i321−i32−1−i321+i321-1i−i−1+i321−i32−1−i321+i321-1i−i−1+i321−i32−1−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ301-11-1i−ii−i1-11-1i−i11-1-1ii−i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3211-1-11-1i−iii−i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i321−i32−1−i321+i32-11−ii−1+i321−i32−1−i321+i32-11−ii1−i32−1+i321+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831−i32−1+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791+i32−1−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ311-11-1i−ii−i1-1-11−ii11-1-1ii−i−i11-1-111-1-1-1-1111-1i−i−i−iiii−ii−ii−ii−i1-11-11-1i−i-11-11-11−ii1-11-1−ii−iii−ii−i-11−ii-11−ii
χ321-11-1i−ii−i1-1-11−ii11-1-1ii−i−i11-1-111-1-1-1-1111-1i−i−i−iiii−ii−ii−ii−i1-11-1-11−ii-11-111-1i−i-11-11−ii−ii−ii−ii1-1i−i1-1i−i
χ331-11-1i−ii−i1-1-11−ii11-1-1ii−i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-1-1111-1i−i−i−iiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32−1+i321−i321-1i−i1+i32−1−i321−i32−1+i32-11−ii−1−i321+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791+i32−1−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831−i32−1+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ341-11-1i−ii−i1-1-11−ii11-1-1ii−i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-1-1111-1i−i−i−iiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32−1+i321−i32-11−ii1+i32−1−i321−i32−1+i321-1i−i1+i32−1−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−1−i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
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χ582-22-2−2i2i2i−2i-22000022-2-22i2i−2i−2i22-2-222-2-20000-22−2i2i0000−2i2i−2i2i2i−2i2i−2i-22-2200000000000000000000000000000000
χ592-22-2−2i2i2i−2i-22000022-2-22i2i−2i−2i−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000-22−2i2i0000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ791+i3−1−i31−i3−1+i300000000000000000000000000000000
χ602-22-2−2i2i2i−2i-22000022-2-22i2i−2i−2i−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000-22−2i2i0000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ831−i3−1+i31+i3−1−i300000000000000000000000000000000
χ6144-4-400000000004-44-400004444-4-4-4-400000000000000000000000000000000000000000000000000000000
χ6244-4-400000000004-44-40000−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i32+2i32−2i300000000000000000000000000000000000000000000000000000000
χ6344-4-400000000004-44-40000−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i300000000000000000000000000000000000000000000000000000000
χ644-4-4400000000004-4-44000044-4-4-4-44400000000000000000000000000000000000000000000000000000000
χ654-4-4400000000004-4-440000−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i300000000000000000000000000000000000000000000000000000000
χ664-4-4400000000004-4-440000−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i300000000000000000000000000000000000000000000000000000000
χ6766666666666666-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ686666666666-6-6-6-6-1-1-1-1-1-1-1-1000000001111-1-1-1-1111100000000000000000000000000000000000000000000
χ69666666-6-6-6-60000-1-1-1-1111100000000−i7i7−i7i711-1-1−i7i7−i7i700000000000000000000000000000000000000000000
χ70666666-6-6-6-60000-1-1-1-1111100000000i7−i7i7−i711-1-1i7−i7i7−i700000000000000000000000000000000000000000000
χ716666-6-666-6-60000-1-1-1-1-1-1-1-100000000−i7i7−i7i71111i7−i7i7−i700000000000000000000000000000000000000000000
χ726666-6-666-6-60000-1-1-1-1-1-1-1-100000000i7−i7i7−i71111−i7i7−i7i700000000000000000000000000000000000000000000
χ736666-6-6-6-66666-6-6-1-1-1-1111100000000-1-1-1-1-1-111111100000000000000000000000000000000000000000000
χ746666-6-6-6-666-6-666-1-1-1-11111000000001111-1-111-1-1-1-100000000000000000000000000000000000000000000
χ756-66-66i−6i6i−6i6-66-66i−6i-1-111−i−iii00000000-1-111-11−ii−i−iii00000000000000000000000000000000000000000000
χ766-66-66i−6i6i−6i6-6-66−6i6i-1-111−i−iii0000000011-1-1-11−iiii−i−i00000000000000000000000000000000000000000000
χ776-66-66i−6i−6i6i-660000-1-111ii−i−i00000000−i7i7i7−i71-1−ii7−7−7700000000000000000000000000000000000000000000
χ786-66-66i−6i−6i6i-660000-1-111ii−i−i00000000i7−i7−i7i71-1−ii−777−700000000000000000000000000000000000000000000
χ796-66-6−6i6i6i−6i-660000-1-111−i−iii00000000−i7i7i7−i71-1i−i−777−700000000000000000000000000000000000000000000
χ806-66-6−6i6i6i−6i-660000-1-111−i−iii00000000i7−i7−i7i71-1i−i7−7−7700000000000000000000000000000000000000000000
χ816-66-6−6i6i−6i6i6-66-6−6i6i-1-111ii−i−i00000000-1-111-11i−iii−i−i00000000000000000000000000000000000000000000
χ826-66-6−6i6i−6i6i6-6-666i−6i-1-111ii−i−i0000000011-1-1-11i−i−i−iii00000000000000000000000000000000000000000000
χ831212-12-120000000000-22-2227−2727−270000000000000000000000000000000000000000000000000000000000000000
χ841212-12-120000000000-22-22−2727−27270000000000000000000000000000000000000000000000000000000000000000
χ8512-12-12120000000000-222-2−2i72i72i7−2i70000000000000000000000000000000000000000000000000000000000000000
χ8612-12-12120000000000-222-22i7−2i7−2i72i70000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.