Finite Group Databasebeta

← Group #13057255

Character table — Group #13057255

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444466666666777777771212121212121212121212121414141414141414141414142828282828282828282828282828282828282828282828282828282828282828
order1222444444244471414142828282833666666141428282828282828282828121212121212121212121212444444446612121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
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+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+i32-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321+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−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−i32-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ71111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1
χ81111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ91111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-11+i321−i321+i321+i321−i321−i32−1−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
χ101111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11111-1-1-1-1-1-1−1−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−i321+i321+i321−i321−i321+i321+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
χ111111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-11−i321+i321−i321−i321+i321+i32−1+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
χ121111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11111-1-1-1-1-1-1−1+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+i321−i321−i321+i321+i321−i321−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
χ13111111-1-1-1-111-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-11-11-11-1111-11-11-11-11-11-1-1-11-11-11-11-1
χ14111111-1-1-1-111-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-11-11-11-11111-11-1-11-11-11-11-1-1-11-11-11-11
χ15111111-1-1-1-111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-111-1-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321-11-11-11-1−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ16111111-1-1-1-111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-111-1-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32-11-11-11-11−1−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ17111111-1-1-1-111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-111-1-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321-11-11-11-1−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ18111111-1-1-1-111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-111-1-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32-11-11-11-11−1+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ19111111-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-1-11-1-1-11-111-1-111-1-11111-1-111-1-11
χ20111111-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-11-11-111-1-111-111-111-1-111-1
χ21111111-1-1-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-1-1-11111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321-1-111-1-111+i321−i321+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ22111111-1-1-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-1-1-11111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32-111-1-111-11+i321−i321+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ23111111-1-1-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-1-1-11111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321-1-111-1-111−i321+i321−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ24111111-1-1-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-1-1-11111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32-111-1-111-11−i321+i321−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ251111-1-111-1-11-11-11111-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-11-1-11-111-111-11-111-1-111-1-11-1-1-111-1-111-1
χ261111-1-111-1-11-11-11111-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-111-11-1-1111-11-11-111-1-111-1-1-11-1-111-1-11
χ271111-1-111-1-11-11-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-111-1-111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321-1-11-111-1−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ281111-1-111-1-11-11-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-111-1-111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-111-11-1-11−1−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ291111-1-111-1-11-11-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-111-1-111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321-1-11-111-1−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ301111-1-111-1-11-11-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-111-1-111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-111-11-1-11−1+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ311111-1-111-1-1-11-111111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11-11-1-11-11-1-11-11-11-11-11-11-111-11-11-11-11
χ321111-1-111-1-1-11-111111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-11-111-11-1-1-11-11-1-11-11-11-11111-11-11-11-1
χ331111-1-111-1-1-11-111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321-11-1-11-111+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ341111-1-111-1-1-11-111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-11-111-11-11+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−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ351111-1-111-1-1-11-111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321-11-1-11-111−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ361111-1-111-1-1-11-111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-11-111-11-11−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+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ371111-1-1-1-1111-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111
χ381111-1-1-1-1111-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1
χ391111-1-1-1-1111-1-1111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-1111+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+i321−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−i32−1+i32−1+i32
χ401111-1-1-1-1111-1-1111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-1111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ411111-1-1-1-1111-1-1111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-1111−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−i321+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+i32−1−i32−1−i32
χ421111-1-1-1-1111-1-1111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-1111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-1−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ431111-1-1-1-111-111-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ441111-1-1-1-111-111-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ451111-1-1-1-111-111-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-11+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−i321−i321−i32
χ461111-1-1-1-111-111-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321−i32−1−i32−1−i32−1+i32−1+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
χ471111-1-1-1-111-111-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-11−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+i321+i321+i32
χ481111-1-1-1-111-111-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321+i32−1+i32−1+i32−1−i32−1−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
χ492-2-222i−2i2i−2i2-2000022-2-222-2-222-2-2-2-222002i−2i2i−2i0000002i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000000000
χ502-2-222i−2i2i−2i2-2000022-2-222-2-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3002i−2i2i−2i0000002ζ11+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+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−1−i31+i3−1+i31−i300000000000000000000000000000000
χ512-2-222i−2i2i−2i2-2000022-2-222-2-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3002i−2i2i−2i0000002ζ19+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+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83−1+i31−i3−1−i31+i300000000000000000000000000000000
χ522-2-222i−2i−2i2i-22000022-2-2-2-22222-2-2-2-222002i−2i−2i2i0000002i−2i−2i2i2i−2i−2i2i-22-2200000000000000000000000000000000
χ532-2-222i−2i−2i2i-22000022-2-2-2-222−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3002i−2i−2i2i0000002ζ11+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+2ζ791+i3−1−i31−i3−1+i300000000000000000000000000000000
χ542-2-222i−2i−2i2i-22000022-2-2-2-222−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3002i−2i−2i2i0000002ζ19+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+2ζ831−i3−1+i31+i3−1−i300000000000000000000000000000000
χ552-2-22−2i2i2i−2i-22000022-2-2-2-22222-2-2-2-22200−2i2i2i−2i000000−2i2i2i−2i−2i2i2i−2i-22-2200000000000000000000000000000000
χ562-2-22−2i2i2i−2i-22000022-2-2-2-222−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i300−2i2i2i−2i000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+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+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ791+i3−1−i31−i3−1+i300000000000000000000000000000000
χ572-2-22−2i2i2i−2i-22000022-2-2-2-222−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i300−2i2i2i−2i000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+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
χ582-2-22−2i2i−2i2i2-2000022-2-222-2-222-2-2-2-22200−2i2i−2i2i000000−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000000000
χ592-2-22−2i2i−2i2i2-2000022-2-222-2-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i300−2i2i−2i2i000000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+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+2ζ79−1−i31+i3−1+i31−i300000000000000000000000000000000
χ602-2-22−2i2i−2i2i2-2000022-2-222-2-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i300−2i2i−2i2i000000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+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+2ζ83−1+i31−i3−1−i31+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
χ686666666666-6-6-6-6-1-1-1-1-1-1-1-10000000011-1-1-1-111111100000000000000000000000000000000000000000000
χ69666666-6-6-6-666-6-6-1-1-1-1111100000000-1-1-1-111-1-1111100000000000000000000000000000000000000000000
χ70666666-6-6-6-6-6-666-1-1-1-111110000000011-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ716666-6-666-6-66-66-6-1-1-1-1111100000000-1-111-1-111-1-11100000000000000000000000000000000000000000000
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χ736666-6-6-6-6666-6-66-1-1-1-1-1-1-1-100000000-1-111111111-1-100000000000000000000000000000000000000000000
χ746666-6-6-6-666-666-6-1-1-1-1-1-1-1-100000000111111-1-1-1-11100000000000000000000000000000000000000000000
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χ826-6-66−6i6i−6i6i6-60000-1-111-1-11100000000i7−i7i−ii−i7−77−7i7−i700000000000000000000000000000000000000000000
χ831212-12-120000000000-22-2227−2727−270000000000000000000000000000000000000000000000000000000000000000
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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.