Finite Group Databasebeta

← Group #13051616

Character table — Group #13051616

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444466666666777777771212121212121212121212121414141414141414141414142828282828282828282828282828282828282828282828282828282828282828
order122244444488887141414282828283366666628282828565656565656565612121212121212121212121244444444121212121212121212121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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+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+i32−1−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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−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
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−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−i32−1+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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+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
χ71111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ81111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ91111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−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+i321111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ111111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+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−i321111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ131111-1-1-1-11111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ141111-1-1-1-11111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ151111-1-1-1-11111-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ161111-1-1-1-11111-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+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−i321+i321+i32−1+i32−1+i321−i321−i32
χ171111-1-1-1-11111-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ181111-1-1-1-11111-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−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+i321−i321−i32−1−i32−1−i321+i321+i32
χ191111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ201111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ211111-1-1-1-111-1-11111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ221111-1-1-1-111-1-11111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ231111-1-1-1-111-1-11111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ241111-1-1-1-111-1-11111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ251-1-11ii−i−i1-11-1i−i11-1-111-1-111-1-1-1-111ii−i−i11-1-1ii−i−iii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−ii−ii−i1-11-11-11-11-1i−i1-1i−i
χ261-1-11ii−i−i1-11-1i−i11-1-111-1-111-1-1-1-111ii−i−i11-1-1ii−i−iii−i−iii−i−i1-11-1−ii−ii-11-11−ii−ii−ii−ii-11-11-11-111-1i−i1-1i−i
χ271-1-11ii−i−i1-11-1i−i11-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32ii−i−i11-1-1ii−i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32−1+i321−i32i−ii−i1-11-1ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−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
χ281-1-11ii−i−i1-11-1i−i11-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32ii−i−i11-1-1ii−i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32−1+i321−i32−ii−ii-11-11−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−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
χ291-1-11ii−i−i1-11-1i−i11-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32ii−i−i11-1-1ii−i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i321−i32−1−i321+i32i−ii−i1-11-1ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+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
χ301-1-11ii−i−i1-11-1i−i11-1-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32ii−i−i11-1-1ii−i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i321−i32−1−i321+i32−ii−ii-11-11−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+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
χ311-1-11ii−i−i1-1-11−ii11-1-111-1-111-1-1-1-111ii−i−i-1-111−i−iiiii−i−iii−i−i1-11-1i−i−ii1-1-11i−i−iii−i−ii1-1-111-1-11-11−ii-11−ii
χ321-1-11ii−i−i1-1-11−ii11-1-111-1-111-1-1-1-111ii−i−i-1-111−i−iiiii−i−iii−i−i1-11-1−iii−i-111-1−iii−i−iii−i-111-1-111-1-11−ii-11−ii
χ331-1-11ii−i−i1-1-11−ii11-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32ii−i−i-1-111−i−iiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32−1+i321−i32i−i−ii1-1-11ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+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
χ341-1-11ii−i−i1-1-11−ii11-1-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32ii−i−i-1-111−i−iiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i321+i32−1+i321−i32−iii−i-111-1−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+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
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χ602-2-22−2i2i2i−2i-22000022-2-2-2-222−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3−2i2i2i−2i00000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ831−i3−1+i31+i3−1−i300000000000000000000000000000000
χ6144-4-400000000004-44-40000444-44-4-4-400000000000000000000000000000000000000000000000000000000
χ6244-4-400000000004-44-40000−2−2i3−2+2i3−2−2i32+2i3−2+2i32−2i32+2i32−2i300000000000000000000000000000000000000000000000000000000
χ6344-4-400000000004-44-40000−2+2i3−2−2i3−2+2i32−2i3−2−2i32+2i32−2i32+2i300000000000000000000000000000000000000000000000000000000
χ644-44-400000000004-4-44000044-44-44-4-400000000000000000000000000000000000000000000000000000000
χ654-44-400000000004-4-440000−2−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i32−2i300000000000000000000000000000000000000000000000000000000
χ664-44-400000000004-4-440000−2+2i3−2−2i32−2i3−2+2i32+2i3−2−2i32−2i32+2i300000000000000000000000000000000000000000000000000000000
χ6766666666666666-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ686666666666-6-6-6-6-1-1-1-1-1-1-1-100000000-1-1-1-11111111100000000000000000000000000000000000000000000
χ6966666-66-6-6-60000-1-1-1-1111100000000-11-117−77−77−77−700000000000000000000000000000000000000000000
χ7066666-66-6-6-60000-1-1-1-1111100000000-11-11−77−77−77−7700000000000000000000000000000000000000000000
χ716666-66-66-6-60000-1-1-1-11111000000001-11-17−77−7−77−7700000000000000000000000000000000000000000000
χ726666-66-66-6-60000-1-1-1-11111000000001-11-1−77−777−77−700000000000000000000000000000000000000000000
χ736666-6-6-6-66666-6-6-1-1-1-1-1-1-1-1000000001111-1-1-1-1111100000000000000000000000000000000000000000000
χ746666-6-6-6-666-6-666-1-1-1-1-1-1-1-10000000011111111-1-1-1-100000000000000000000000000000000000000000000
χ756-6-666i6i−6i−6i6-66-66i−6i-1-111-1-11100000000−i−iii-1-111−i−iii00000000000000000000000000000000000000000000
χ766-6-666i6i−6i−6i6-6-66−6i6i-1-111-1-11100000000−i−iii11-1-1ii−i−i00000000000000000000000000000000000000000000
χ776-6-666i−6i−6i6i-660000-1-11111-1-100000000−iii−i7−7−77i7−i7−i7i700000000000000000000000000000000000000000000
χ786-6-666i−6i−6i6i-660000-1-11111-1-100000000−iii−i−777−7−i7i7i7−i700000000000000000000000000000000000000000000
χ796-6-66−6i6i6i−6i-660000-1-11111-1-100000000i−i−ii7−7−77−i7i7i7−i700000000000000000000000000000000000000000000
χ806-6-66−6i6i6i−6i-660000-1-11111-1-100000000i−i−ii−777−7i7−i7−i7i700000000000000000000000000000000000000000000
χ816-6-66−6i−6i6i6i6-66-6−6i6i-1-111-1-11100000000ii−i−i-1-111ii−i−i00000000000000000000000000000000000000000000
χ826-6-66−6i−6i6i6i6-6-666i−6i-1-111-1-11100000000ii−i−i11-1-1−i−iii00000000000000000000000000000000000000000000
χ831212-12-120000000000-22-2227−2727−270000000000000000000000000000000000000000000000000000000000000000
χ841212-12-120000000000-22-22−2727−27270000000000000000000000000000000000000000000000000000000000000000
χ8512-1212-120000000000-222-227−27−27270000000000000000000000000000000000000000000000000000000000000000
χ8612-1212-120000000000-222-2−272727−270000000000000000000000000000000000000000000000000000000000000000

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