Finite Group Databasebeta

← Group #13057249

Character table — Group #13057249

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444466666666777777771212121212121212121212121414141414141414141414142828282828282828282828282828282828282828282828282828282828282828
order1222224444444471414141414141433666666282828282828282828282828666612121212121212122244444466661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
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+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−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+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−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+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ71111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111111111111-11-11-11-11-11-11-11-1-1-1-1-11-11-1-1-1-1-11-11-1
χ81111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1111111111111-11-11-11-11-11-11-11-11-1-1-1-1-11-11-1-1-1-1-11-11
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+i321-11-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i321+i32−1+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+i32-11-11-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i32−1−i321−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−i321-11-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i321−i32−1−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−i32-11-11-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i32−1+i321+i32−1−i32
χ13111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111-11-1-11-1111111-11-1-1-1-1-1-11-11
χ14111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-11-111-11-11111-11-11-1-1-1-11-11-1
χ15111111-1-1-1-111-1-111111111−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321-1-111-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i321+i321+i321−i321−i321+i32−1−i321−i32−1+i32
χ16111111-1-1-1-111-1-111111111−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i32-111-1-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i321+i321+i321−i321−i32−1−i321+i32−1+i321−i32
χ17111111-1-1-1-111-1-111111111−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321-1-111-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i321−i321−i321+i321+i321−i32−1+i321+i32−1−i32
χ18111111-1-1-1-111-1-111111111−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i32-111-1-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i321−i321−i321+i321+i32−1+i321−i32−1−i321+i32
χ19111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ20111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ21111111-1-1-1-1-1-11111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-111-1-1−1−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+i321+i321+i321−i321−i32
χ22111111-1-1-1-1-1-11111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-1111+i321+i321−i321−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
χ23111111-1-1-1-1-1-11111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-111-1-1−1+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−i321−i321−i321+i321+i32
χ24111111-1-1-1-1-1-11111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-1-1111−i321−i321+i321+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
χ251111-1-111-1-11-11-111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1111-1-1-1-1111111-11-11-11-1-1-1-1-11-11-1-11-11
χ261111-1-111-1-11-11-111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-11-111-11-111111-11-11-11-1
χ271111-1-111-1-11-11-111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-111-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32111-1-1-1-11−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ281111-1-111-1-11-11-111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-111-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-11111-11+i321+i321−i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ291111-1-111-1-11-11-111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-111-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32111-1-1-1-11−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ301111-1-111-1-11-11-111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-111-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-11111-11−i321−i321+i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ311111-1-111-1-1-11-1111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-111-11-1-11-11-11111-11-11-11-11-11-11-1-1-1-1
χ321111-1-111-1-1-11-1111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-11-1-11-111-11-11-1-1-1-1-11-111-11-1-11-111111
χ331111-1-111-1-1-11-1111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11111-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-111-11-1-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i321+i321−i321−i32
χ341111-1-111-1-1-11-1111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11111-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-1-11-1111+i32−1−i321−i32−1+i321+i321+i321−i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ351111-1-111-1-1-11-1111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11111-1-1-1-1111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-111-11-1-1−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i321−i321+i321+i32
χ361111-1-111-1-1-11-1111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11111-1-1-1-1111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-1-11-1111−i32−1+i321+i32−1−i321−i321−i321+i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ371111-1-1-1-1111-1-1111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1-1-1-11111-11-1-1-1-1-11-11-1-11-11-11-111111
χ381111-1-1-1-1111-1-1111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-11111-1-1-1-11-1111111-11-11-11-1-11-11-1-1-1-1
χ391111-1-1-1-1111-1-1111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-111-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1-1-1-1111−1−i321+i32−1+i321−i321+i321+i321−i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ401111-1-1-1-1111-1-1111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-111-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11111-1-1-11+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i321+i321−i321−i32
χ411111-1-1-1-1111-1-1111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-111-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1-1-1-1111−1+i321−i32−1−i321+i321−i321−i321+i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ421111-1-1-1-1111-1-1111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-111-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11111-1-1-11−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i321−i321+i321+i32
χ431111-1-1-1-111-111-111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-11-1-11-11111-11-11-11-11-1-1-1-11-11-11-11-1
χ441111-1-1-1-111-111-111-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-111-11-1-1-1-11-11-1-11-1111111-11-1-11-11
χ451111-1-1-1-111-111-111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-11111-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-11-1-11-1−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i321+i321−i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ461111-1-1-1-111-111-111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-11111-1-11+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11-111-111+i321+i321−i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ471111-1-1-1-111-111-111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-11111-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-11-1-11-1−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i321−i321+i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ481111-1-1-1-111-111-111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-11111-1-11−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11-111-111−i321−i321+i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ492-22-22-22i−2i2i−2i00002-222-2-22-222-2-222-2-200002i−2i2i−2i00002-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ502-22-22-22i−2i2i−2i00002-222-2-22-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300002i−2i2i−2i0000−1−i31+i3−1+i31−i32ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ7900000000000000000000000000000000
χ512-22-22-22i−2i2i−2i00002-222-2-22-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300002i−2i2i−2i0000−1+i31−i3−1−i31+i32ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ8300000000000000000000000000000000
χ522-22-22-2−2i2i−2i2i00002-222-2-22-222-2-222-2-20000−2i2i−2i2i00002-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ532-22-22-2−2i2i−2i2i00002-222-2-22-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000−2i2i−2i2i0000−1−i31+i3−1+i31−i3−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900000000000000000000000000000000
χ542-22-22-2−2i2i−2i2i00002-222-2-22-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000−2i2i−2i2i0000−1+i31−i3−1−i31+i3−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300000000000000000000000000000000
χ552-22-2-222i−2i−2i2i00002-2-2-2222-222-2-222-2-200002i−2i−2i2i0000-22-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ562-22-2-222i−2i−2i2i00002-2-2-2222-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300002i−2i−2i2i00001+i3−1−i31−i3−1+i32ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900000000000000000000000000000000
χ572-22-2-222i−2i−2i2i00002-2-2-2222-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300002i−2i−2i2i00001−i3−1+i31+i3−1−i32ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300000000000000000000000000000000
χ582-22-2-22−2i2i2i−2i00002-2-2-2222-222-2-222-2-20000−2i2i2i−2i0000-22-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ592-22-2-22−2i2i2i−2i00002-2-2-2222-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000−2i2i2i−2i00001+i3−1−i31−i3−1+i3−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ7900000000000000000000000000000000
χ602-22-2-22−2i2i2i−2i00002-2-2-2222-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000−2i2i2i−2i00001−i3−1+i31+i3−1−i3−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+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+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ8300000000000000000000000000000000
χ6144-4-40000000000440000-4-44444-4-4-4-400000000000000000000000000000000000000000000000000000000
χ6244-4-40000000000440000-4-4−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i32+2i32−2i300000000000000000000000000000000000000000000000000000000
χ6344-4-40000000000440000-4-4−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i300000000000000000000000000000000000000000000000000000000
χ644-4-4400000000004-40000-4444-4-4-4-44400000000000000000000000000000000000000000000000000000000
χ654-4-4400000000004-40000-44−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i300000000000000000000000000000000000000000000000000000000
χ664-4-4400000000004-40000-44−2+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
χ69666666-6-6-6-666-6-6-1-1-1-1-1-1-1-100000000-1-1-1-11111111100000000000000000000000000000000000000000000
χ70666666-6-6-6-6-6-666-1-1-1-1-1-1-1-10000000011111111-1-1-1-100000000000000000000000000000000000000000000
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χ726666-6-666-6-6-66-66-1-11111-1-10000000011-1-1-1-11111-1-100000000000000000000000000000000000000000000
χ736666-6-6-6-6666-6-66-1-11111-1-100000000-1-11111-1-111-1-100000000000000000000000000000000000000000000
χ746666-6-6-6-666-666-6-1-11111-1-10000000011-1-111-1-1-1-11100000000000000000000000000000000000000000000
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χ766-66-66-66i−6i6i−6i0000-11-1-111-1100000000i7−i7i7−i7−ii−ii−77−7700000000000000000000000000000000000000000000
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χ796-66-6-666i−6i−6i6i0000-1111-1-1-1100000000−i7i7i7−i7−iii−i7−7−7700000000000000000000000000000000000000000000
χ806-66-6-666i−6i−6i6i0000-1111-1-1-1100000000i7−i7−i7i7−iii−i−777−700000000000000000000000000000000000000000000
χ816-66-6-66−6i6i6i−6i0000-1111-1-1-1100000000−i7i7i7−i7i−i−ii−777−700000000000000000000000000000000000000000000
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χ831212-12-120000000000-2-2−2i72i7−2i72i7220000000000000000000000000000000000000000000000000000000000000000
χ841212-12-120000000000-2-22i7−2i72i7−2i7220000000000000000000000000000000000000000000000000000000000000000
χ8512-12-12120000000000-22−2i72i72i7−2i72-20000000000000000000000000000000000000000000000000000000000000000
χ8612-12-12120000000000-222i7−2i7−2i72i72-20000000000000000000000000000000000000000000000000000000000000000

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