Finite Group Databasebeta

← Group #13060720

Character table — Group #13060720

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size11112222222222223333333344444444466666666666666666666666677777777121212121212121212121212121212121212141414141414141414141414141414141414141414141414282828282828282828282828282828282828
order122244444444444477141414141414222244444282828282828282828282828282828282828282828282828336666661414141414141414282828282828282828281212121212121212121212121212121212121212121212126666666612121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111111111−1−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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32
χ3111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111111111−1+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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32
χ4111111111111-1-1-1-111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ5111111111111-1-1-1-111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11111-1-1-1-111−1−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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i32
χ6111111111111-1-1-1-111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11111-1-1-1-111−1+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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i32
χ711111111-1-1-1-1111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ811111111-1-1-1-1111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i32
χ911111111-1-1-1-1111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i32
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111-1-1-1-1-1-1-1-111−1−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−i321−i321−i321−i321−i32−1−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+i32
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111-1-1-1-1-1-1-1-111−1+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+i321+i321+i321+i321+i32−1+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−i32
χ13111111-1-1111111-1-11111111111-1-1-1-11-1-11111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1111111-1-111-1-111-1-1-1-11-1-1-11-1-1-1
χ14111111-1-1111111-1-11111111111-1-1-1-11-1-11111-1-1-1-1111111111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-111-1-1-1-1−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i321+i321−i321−i32−1+i321−i321+i321−i32
χ15111111-1-1111111-1-11111111111-1-1-1-11-1-11111-1-1-1-1111111111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-111-1-1-1-1−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i321−i321+i321+i32−1−i321+i321−i321+i32
χ16111111-1-11111-1-11111111111-1-111-1-1-11-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1111111-1-111-1-111-1-111-1-1-11-1-1-11-1-1
χ17111111-1-11111-1-11111111111-1-111-1-1-11-11111-1-1-1-111111111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-1-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+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+i32−1−i321−i321−i321−i32−1+i321+i321−i32
χ18111111-1-11111-1-11111111111-1-111-1-1-11-11111-1-1-1-111111111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-1-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−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−i32−1+i321+i321+i321+i32−1−i321−i321+i32
χ19111111-1-1-1-1-1-111-1-111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111-1111-1-1-1
χ20111111-1-1-1-1-1-111-1-111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111111111-1-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321+i321−i32
χ21111111-1-1-1-1-1-111-1-111111111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111111111-1-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321−i321+i32
χ22111111-1-1-1-1-1-1-1-1111111111111-1-111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1111-11-1-1
χ23111111-1-1-1-1-1-1-1-1111111111111-1-111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-11111-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i32−1−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−i321+i32−1−i32−1+i32−1+i321−i32−1+i321+i321−i32
χ24111111-1-1-1-1-1-1-1-1111111111111-1-111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-11111-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i32−1+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+i321−i32−1+i32−1−i32−1−i321+i32−1−i321−i321+i32
χ251111-1-11111-1-11111111111111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-111111-11-11-11-11-1-1-11-1-1-1-1-1
χ261111-1-11111-1-11111111111111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-111-1-111-1-1-1-1-1-1-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i321+i321+i32−1+i321−i321−i321−i321+i321−i32
χ271111-1-11111-1-11111111111111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-111-1-111-1-1-1-1-1-1-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i321−i321−i32−1−i321+i321+i321+i321−i321+i32
χ281111-1-11111-1-1-1-1-1-111111111-11-111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-11-11-11-111-1111-111-1-1
χ291111-1-11111-1-1-1-1-1-111111111-11-111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-11111-1-11111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1−i32−1+i321−i32−1+i32−1+i321+i321−i32
χ301111-1-11111-1-1-1-1-1-111111111-11-111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-11111-1-11111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1+i32−1−i321+i32−1−i32−1−i321−i321+i32
χ311111-1-111-1-111111111111111-11-11-11-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1111111-11-11-11-11-11-1-1-11-1-1-1-1
χ321111-1-111-1-111111111111111-11-11-11-1-1-1-1-1-1-11111-1-1-1-1111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-111-1-111-1-1-1-1-1-11+i321+i32−1−i32−1−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+i32−1+i32−1+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−i321−i321+i321−i32
χ331111-1-111-1-111111111111111-11-11-11-1-1-1-1-1-1-11111-1-1-1-1111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-111-1-111-1-1-1-1-1-11−i321−i32−1+i32−1+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−i32−1−i32−1−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+i321+i321−i321+i32
χ341111-1-111-1-111-1-1-1-1111111111-11-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-11-11-11-11-1-1111-1111-1-1
χ351111-1-111-1-111-1-1-1-1111111111-11-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-111-1-1-1-1111111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i32−1+i321+i321−i32
χ361111-1-111-1-111-1-1-1-1111111111-11-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-111-1-1-1-1111111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i32−1−i321−i321+i32
χ371111-1-1-1-111-1-111-1-1111111111-1-11-11-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1-111-1-11-11-11-11-1111
χ381111-1-1-1-111-1-111-1-1111111111-1-11-11-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-111-1-111-1-111111+i321+i321+i321+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−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i32−1+i32
χ391111-1-1-1-111-1-111-1-1111111111-1-11-11-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-111-1-111-1-111111−i321−i321−i321−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+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i32−1−i32
χ401111-1-1-1-111-1-1-1-11111111111-111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1-111-111
χ411111-1-1-1-111-1-1-1-11111111111-111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11111-1-1-1-11111-1-1111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i32−1+i32
χ421111-1-1-1-111-1-1-1-11111111111-111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11111-1-1-1-11111-1-1111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i32−1−i32
χ431111-1-1-1-1-1-11111-1-111111111-111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-111-11-1-111-1-1111
χ441111-1-1-1-1-1-11111-1-111111111-111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11111-1-111-1-1-1-111111+i321+i321+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+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i32−1+i32
χ451111-1-1-1-1-1-11111-1-111111111-111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11111-1-111-1-1-1-111111−i321−i321−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−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i32−1−i32
χ461111-1-1-1-1-1-111-1-111111111111-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-1-111-1-111-11-11-11-111
χ471111-1-1-1-1-1-111-1-111111111111-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-11111-1-111-1-1111+i321+i321+i321+i321−i321−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+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1+i32
χ481111-1-1-1-1-1-111-1-111111111111-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-11111-1-111-1-1111−i321−i321−i321−i321+i321+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−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1−i32
χ4922-2-2002-200002i−2i2i−2i2222-2-2-2-2000000000000022-2-2000000002i2i−2i−2i2i2i−2i−2i222-22-2-2-2000000000000000000002-2002-200002i−2i2i−2i00002i−2i2i−2i000000000000000000
χ5022-2-2002-200002i−2i2i−2i2222-2-2-2-2000000000000022-2-2000000002i2i−2i−2i2i2i−2i−2i−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i300000000000000000000−1−i31+i300−1+i31−i300002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ8300002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79000000000000000000
χ5122-2-2002-200002i−2i2i−2i2222-2-2-2-2000000000000022-2-2000000002i2i−2i−2i2i2i−2i−2i−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i300000000000000000000−1+i31−i300−1−i31+i300002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ7900002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83000000000000000000
χ5222-2-2002-20000−2i2i−2i2i2222-2-2-2-2000000000000022-2-200000000−2i−2i2i2i−2i−2i2i2i222-22-2-2-2000000000000000000002-2002-20000−2i2i−2i2i0000−2i2i−2i2i000000000000000000
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χ5422-2-2002-20000−2i2i−2i2i2222-2-2-2-2000000000000022-2-200000000−2i−2i2i2i−2i−2i2i2i−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i300000000000000000000−1+i31−i300−1−i31+i30000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ790000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83000000000000000000
χ5522-2-200-2200002i−2i−2i2i2222-2-2-2-20000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i222-22-2-2-200000000000000000000-2200-2200002i−2i−2i2i00002i−2i−2i2i000000000000000000
χ5622-2-200-2200002i−2i−2i2i2222-2-2-2-20000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000000000000000001+i3−1−i3001−i3−1+i300002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ8300002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79000000000000000000
χ5722-2-200-2200002i−2i−2i2i2222-2-2-2-20000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000000000000000001−i3−1+i3001+i3−1−i300002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ7900002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83000000000000000000
χ5822-2-200-220000−2i2i2i−2i2222-2-2-2-20000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i222-22-2-2-200000000000000000000-2200-220000−2i2i2i−2i0000−2i2i2i−2i000000000000000000
χ5922-2-200-220000−2i2i2i−2i2222-2-2-2-20000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000000000000000001+i3−1−i3001−i3−1+i30000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ830000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79000000000000000000
χ6022-2-200-220000−2i2i2i−2i2222-2-2-2-20000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000000000000000001−i3−1+i3001+i3−1−i30000−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ790000−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83000000000000000000
χ612-22-22-2002i−2i2i−2i000022-2-222-2-200000000022-2-200002i2i−2i−2i2i2i−2i−2i0000000022-22-22-2-20000000000000000002-2002-2002i−2i2i−2i00002i−2i2i−2i0000000000000000000000
χ622-22-22-2002i−2i2i−2i000022-2-222-2-200000000022-2-200002i2i−2i−2i2i2i−2i−2i00000000−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i3000000000000000000−1−i31+i300−1+i31−i3002ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ8300002ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ790000000000000000000000
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χ642-22-22-200−2i2i−2i2i000022-2-222-2-200000000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000022-22-22-2-20000000000000000002-2002-200−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000
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χ1216-66-6-66006i−6i−6i6i0000−1+i7−1−i71−i71+i7−1+i7−1−i71−i71+i70000000001−i71+i7−1+i7−1−i700002ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ790000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12412-12-1212000000000000−2−2i7−2+2i72+2i72−2i72+2i72−2i7−2−2i7−2+2i700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12512-12-1212000000000000−2+2i7−2−2i72−2i72+2i72−2i72+2i7−2+2i7−2−2i700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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