Finite Group Databasebeta

← Group #13152154

Character table — Group #13152154

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111222222222333344444466666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212242424242424242424242424242424242424484848484848484848484848
order123366488121224242424991818246612122466121218181818181836363636363636367272727223346666899991212181818181818181818181818242436363636363636367272727272721212242424243636363672727272727272726612121818181836363636
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111−1−i32−1+i32111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i321111111111111111−1−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
χ311111111111111111111111111111111111111111111111111−1+i32−1−i32111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i321111111111111111−1+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
χ41111111111111111111-1-1-1-1-1-1111111111111111111111111-111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111-1-1-1-1-1-1111111111111111111111111-1−1−i32−1+i32-1-1-1−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-1111111−1−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+i321+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32
χ61111111111111111111-1-1-1-1-1-1111111111111111111111111-1−1+i32−1−i32-1-1-1−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1-1-1111111−1+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−i321−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32
χ7111111111111111−1−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−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−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+i32111111−1−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+i32−1−i32−1+i32−1−i32−1+i32
χ8111111111111111−1−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−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1+i3211−1−i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i3211−1−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+i3211−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32
χ9111111111111111−1−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−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1+i32−1−i32111−1+i32−1−i3211−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32111−1−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−i321−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i3211−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211−1−i32−1+i321
χ10111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111111−1−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+i32-111-1-1-1111−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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−i321+i321−i321+i321−i32
χ11111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111111−1−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+i32-1−1−i32−1+i32-1-1-1−1−i32−1+i321−1+i3211−1−i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1+i3211−1−i32111+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+i32−1+i3211−1−i32−1+i32−1+i321111−1−i32−1−i321+i321−i321+i321−i321−i32-1-11+i321−i32-1-11+i32
χ12111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111111−1−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+i32-1−1+i32−1−i32-1-1-1−1+i32−1−i3211−1−i32−1+i321-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321111+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−i321−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i32111−i321+i321−i321+i32-11+i321−i32-1-11+i321−i32-1
χ13111111111111111−1+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+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+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−i32111111−1+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−i32−1+i32−1−i32−1+i32−1−i32
χ14111111111111111−1+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+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1−i32−1+i32111−1−i32−1+i3211−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32111−1+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+i321−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i3211−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211−1+i32−1−i321
χ15111111111111111−1+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+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1−i3211−1+i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i3211−1+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−i3211−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32
χ16111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111111−1+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−i32-111-1-1-1111−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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+i321−i321+i321−i321+i32
χ17111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111111−1+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−i32-1−1−i32−1+i32-1-1-1−1−i32−1+i3211−1+i32−1−i321-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321111−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+i321−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i32111+i321−i321+i321−i32-11−i321+i32-1-11−i321+i32-1
χ18111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111111−1+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−i32-1−1+i32−1−i32-1-1-1−1+i32−1−i321−1−i3211−1+i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1−i3211−1+i32111−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−i32−1−i3211−1+i32−1−i32−1−i321111−1+i32−1+i321−i321+i321−i321+i321+i32-1-11−i321+i32-1-11−i32
χ191111111-1-111-1-1-1-111111-111-1-111111111111111111111-1-1-1-1-1111-1-111-11111111-1-1-11-1-1-11111-1-1111-1111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ201111111-1-111-1-1-1-111111-111-1-111111111111111111111-1-1-1-1-1−1−i32−1+i321-1-1−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i32111-1-1-11-1-1-1−1−i32−1−i32−1+i32−1+i32-1-1111-1111-1-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−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−i32−1+i32−1+i321+i321+i321−i321−i32
χ211111111-1-111-1-1-1-111111-111-1-111111111111111111111-1-1-1-1-1−1+i32−1−i321-1-1−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i32111-1-1-11-1-1-1−1+i32−1+i32−1−i32−1−i32-1-1111-1111-1-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+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+i32−1−i32−1−i321−i321−i321+i321+i32
χ221111111-1-111-1-1-1-11111-11-1-11111111111111111111111-1-1-1-1111-11111-11111-1-1-1111-11111111-1-1-1-1-11-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ231111111-1-111-1-1-1-11111-11-1-11111111111111111111111-1-1-1-11−1−i32−1+i32-111−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i32-1-1-1111-1111−1−i32−1−i32−1+i32−1+i32-1-1-1-1-11-1-1-11-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ241111111-1-111-1-1-1-11111-11-1-11111111111111111111111-1-1-1-11−1+i32−1−i32-111−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i32-1-1-1111-1111−1+i32−1+i32−1−i32−1−i32-1-1-1-1-11-1-1-11-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ251111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-111-1-1111111−1−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+i321+i321+i321−i321−i32-1111-1-111-1−1−i32−1+i32−1−i32−1+i3211−1−i321+i321+i321+i32−1+i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321+i321+i321+i321−i321−i321−i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ261111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-111-1-1111111−1−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+i321+i321+i321−i321−i32-1−1−i32−1+i321-1-1−1−i32−1+i32-1−1+i3211−1−i3211−1−i321+i321+i321+i32−1+i321−i321−i321−i32−1+i3211−1−i32-1-1−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321+i321+i321+i321−i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1+i3211−1−i321−i321−i32-1-1-1-11+i321+i32−1−i32−1+i321+i321−i32−1+i3211−1−i321−i32-1-11+i32
χ271111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-111-1-1111111−1−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+i321+i321+i321−i321−i32-1−1+i32−1−i321-1-1−1+i32−1−i32-11−1−i32−1+i32111−1−i321+i321+i321+i32−1+i321−i321−i321−i321−1−i32−1+i321-1-1−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321+i321+i321+i321−i321−i321−i32−1+i32−1−i321−i321−i321+i321+i321−1−i32−1+i321-1-11+i321+i321−i321−i32-1-1−1+i32−1−i321−i321+i321−1−i32−1+i321-11+i321−i32-1
χ281111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1-111111111−1−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+i321+i321+i321−i321−i32111-11111-1−1−i32−1+i32−1−i32−1+i32-1-11+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321+i32−1−i321−i321−i321−i32−1+i321+i321+i321+i321−i321−i321−i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ291111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1-111111111−1−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+i321+i321+i321−i321−i321−1−i32−1+i32-111−1−i32−1+i32-1−1+i3211−1−i32-1-11+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i32−1+i32−1+i3211−1−i32-1-11+i321+i321+i32−1−i321−i321−i321−i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1+i3211−1−i321−i321−i32-1-1-1-11+i321+i321+i321−i32−1−i32−1+i321−i32-1-11+i32−1+i3211−1−i32
χ301111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1-111111111−1−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+i321+i321+i321−i321−i321−1+i32−1−i32-111−1+i32−1−i32-11−1−i32−1+i321-1-11+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i32−1+i321−1−i32−1+i321-1-11+i321+i321+i32−1−i321−i321−i321−i32−1+i321+i321+i321+i321−i321−i321−i32−1+i32−1−i321−i321−i321+i321+i321−1−i32−1+i321-1-11+i321+i321−i321−i32-1-11−i321+i32−1+i32−1−i32-11+i321−i32-11−1−i32−1+i321
χ311111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-111-1-1111111−1+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−i321−i321−i321+i321+i32-1111-1-111-1−1+i32−1−i32−1+i32−1−i3211−1+i321−i321−i321−i32−1−i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321−i321−i321−i321+i321+i321+i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ321111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-111-1-1111111−1+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−i321−i321−i321+i321+i32-1−1−i32−1+i321-1-1−1−i32−1+i32-11−1+i32−1−i32111−1+i321−i321−i321−i32−1−i321+i321+i321+i321−1+i32−1−i321-1-1−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321−i321−i321−i321+i321+i321+i32−1−i32−1+i321+i321+i321−i321−i321−1+i32−1−i321-1-11−i321−i321+i321+i32-1-1−1−i32−1+i321+i321−i321−1+i32−1−i321-11−i321+i32-1
χ331111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-111-1-1111111−1+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−i321−i321−i321+i321+i32-1−1+i32−1−i321-1-1−1+i32−1−i32-1−1−i3211−1+i3211−1+i321−i321−i321−i32−1−i321+i321+i321+i32−1−i3211−1+i32-1-1−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321−i321−i321−i321+i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1−i3211−1+i321+i321+i32-1-1-1-11−i321−i32−1+i32−1−i321−i321+i32−1−i3211−1+i321+i32-1-11−i32
χ341111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1-111111111−1+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−i321−i321−i321+i321+i32111-11111-1−1+i32−1−i32−1+i32−1−i32-1-11−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321−i32−1+i321+i321+i321+i32−1−i321−i321−i321−i321+i321+i321+i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ351111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1-111111111−1+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−i321−i321−i321+i321+i321−1−i32−1+i32-111−1−i32−1+i32-11−1+i32−1−i321-1-11−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i32−1−i321−1+i32−1−i321-1-11−i321−i321−i32−1+i321+i321+i321+i32−1−i321−i321−i321−i321+i321+i321+i32−1−i32−1+i321+i321+i321−i321−i321−1+i32−1−i321-1-11−i321−i321+i321+i32-1-11+i321−i32−1−i32−1+i32-11−i321+i32-11−1+i32−1−i321
χ361111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1-111111111−1+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−i321−i321−i321+i321+i321−1+i32−1−i32-111−1+i32−1−i32-1−1−i3211−1+i32-1-11−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i32−1−i32−1−i3211−1+i32-1-11−i321−i321−i32−1+i321+i321+i321+i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1−i3211−1+i321+i321+i32-1-1-1-11−i321−i321−i321+i32−1+i32−1−i321+i32-1-11−i32−1−i3211−1+i32
χ37222222-200-2-200002222000000-22-2-222-2-2-2-2-2-2222222-2-200000220002202222000000000022220000000000000000-2-20000-2-2-2-200000000000000000000
χ38222222-200-2-200002222000000-22-2-222-2-2-2-2-2-2222222-2-200000−1−i3−1+i3000−1−i3−1+i30−1−i3−1−i3−1+i3−1+i30000000000−1−i3−1−i3−1+i3−1+i300000000000000001+i31−i300001+i31+i31−i31−i300000000000000000000
χ39222222-200-2-200002222000000-22-2-222-2-2-2-2-2-2222222-2-200000−1+i3−1−i3000−1+i3−1−i30−1+i3−1+i3−1−i3−1−i30000000000−1+i3−1+i3−1−i3−1−i300000000000000001−i31+i300001−i31−i31+i31+i300000000000000000000
χ40222222-200-2-20000−1−i3−1+i3−1−i3−1+i3000000-22-2-2221+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i30000022000220−1−i3−1+i3−1−i3−1+i30000000000−1−i3−1+i3−1−i3−1+i30000000000000000-2-200001+i31−i31+i31−i300000000000000000000
χ41222222-200-2-20000−1−i3−1+i3−1−i3−1+i3000000-22-2-2221+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i300000−1−i3−1+i3000−1−i3−1+i30−1+i322−1−i30000000000−1+i322−1−i300000000000000001+i31−i300001−i3-2-21+i300000000000000000000
χ42222222-200-2-20000−1−i3−1+i3−1−i3−1+i3000000-22-2-2221+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i300000−1+i3−1−i3000−1+i3−1−i302−1−i3−1+i3200000000002−1−i3−1+i3200000000000000001−i31+i30000-21+i31−i3-200000000000000000000
χ43222222-200-2-20000−1+i3−1−i3−1+i3−1−i3000000-22-2-2221−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i30000022000220−1+i3−1−i3−1+i3−1−i30000000000−1+i3−1−i3−1+i3−1−i30000000000000000-2-200001−i31+i31−i31+i300000000000000000000
χ44222222-200-2-20000−1+i3−1−i3−1+i3−1−i3000000-22-2-2221−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i300000−1−i3−1+i3000−1−i3−1+i302−1+i3−1−i3200000000002−1+i3−1−i3200000000000000001+i31−i30000-21−i31+i3-200000000000000000000
χ45222222-200-2-20000−1+i3−1−i3−1+i3−1−i3000000-22-2-2221−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i300000−1+i3−1−i3000−1+i3−1−i30−1−i322−1+i30000000000−1−i322−1+i300000000000000001−i31+i300001+i3-2-21−i300000000000000000000
χ463333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1333333-100-1-1-100-10000-1-13-1-1-13-1-1-10000-1-1-1-1-13-1-1-13-1-1-1-1-1-1000000000000000000000000000000
χ473333333333333333333-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333310011100-1000011-3111-31110000-1-1111-3111-3-1-1-1-1-1-1000000000000000000000000000000
χ48333333333333333−3−3i32−3+3i32−3−3i32−3+3i32333333-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-100-1-1-100-10000-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i320000-1-11+i321+i321+i32−3−3i321−i321−i321−i32−3+3i321+i321+i321+i321−i321−i321−i32000000000000000000000000000000
χ49333333333333333−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3-3-3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3210011100-10000113+3i32−1−i32−1−i32−1−i323−3i32−1+i32−1+i32−1+i320000-1-1−1−i32−1−i32−1−i323+3i32−1+i32−1+i32−1+i323−3i321+i321+i321+i321−i321−i321−i32000000000000000000000000000000
χ50333333333333333−3+3i32−3−3i32−3+3i32−3−3i32333333-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-100-1-1-100-10000-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i320000-1-11−i321−i321−i32−3+3i321+i321+i321+i32−3−3i321−i321−i321−i321+i321+i321+i32000000000000000000000000000000
χ51333333333333333−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3-3-3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3210011100-10000113−3i32−1+i32−1+i32−1+i323+3i32−1−i32−1−i32−1−i320000-1-1−1+i32−1+i32−1+i323−3i32−1−i32−1−i32−1−i323+3i321−i321−i321−i321+i321+i321+i32000000000000000000000000000000
χ523333333-3-333-3-3-3-333333-333-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-3-3-3-3100-1110010000-1-131113111000011-1-1-1-3-1-1-1-3111111000000000000000000000000000000
χ533333333-3-333-3-3-3-33333-33-3-333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-3-3-3-3-1001-1-1001000011-3-1-1-1-3-1-1-100001111131113111111000000000000000000000000000000
χ543333333-3-333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323-333-3-3-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32−3−3i32−3+3i323+3i323+3i323−3i323−3i32100-1110010000-1-1−3−3i32−1−i32−1−i32−1−i32−3+3i32−1+i32−1+i32−1+i320000111+i321+i321+i323+3i321−i321−i321−i323−3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000000
χ553333333-3-333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32-33-3-333-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32−3−3i32−3+3i323+3i323+3i323−3i323−3i32-1001-1-10010000113+3i321+i321+i321+i323−3i321−i321−i321−i32000011−1−i32−1−i32−1−i32−3−3i32−1+i32−1+i32−1+i32−3+3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000000
χ563333333-3-333-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323-333-3-3-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32−3+3i32−3−3i323−3i323−3i323+3i323+3i32100-1110010000-1-1−3+3i32−1+i32−1+i32−1+i32−3−3i32−1−i32−1−i32−1−i320000111−i321−i321−i323−3i321+i321+i321+i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000000000
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χ12012-12−6−6i3−6+6i36+6i36−6i306i2−6i200−6ζ21−6ζ396ζ21+6ζ39−6ζ15−6ζ696ζ15+6ζ6900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12112-12−6+6i3−6−6i36−6i36+6i30−6i26i2006ζ15+6ζ69−6ζ15−6ζ696ζ21+6ζ39−6ζ21−6ζ3900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12212-12−6+6i3−6−6i36−6i36+6i306i2−6i200−6ζ15−6ζ696ζ15+6ζ69−6ζ21−6ζ396ζ21+6ζ3900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.