Finite Group Databasebeta

← Group #13152148

Character table — Group #13152148

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111111222222222333333333333333333333344444466666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212242424242424242424242424242424242424484848484848484848484848
order12336648812122424242422666699181818181818181818181818181824661212488121224242424363636363636363672727272727272727272727272727272233466669999121218181818181818181818181836363636363636361212242424243636363672727272727272726612121818181836363636
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ311111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ41111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1−1−i32−1+i32-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32
χ61111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1−1+i32−1−i32-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32
χ7111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−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+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+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
χ8111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−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+i3211−1−i3211−1−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+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
χ9111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−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−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1−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
χ10111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-111-1-1-111−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−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
χ11111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i3211−1−i32-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1+i3211−1−i321+i321+i321+i321+i321−i321−i321−i321−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
χ12111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1+i321-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i3211+i321+i321+i321+i321−i321−i321−i321−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
χ13111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+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−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−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
χ14111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+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+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1+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
χ15111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+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−i3211−1+i3211−1+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−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
χ16111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-111-1-1-111−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+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
χ17111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1−i321-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i3211−i321−i321−i321−i321+i321+i321+i321+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
χ18111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i3211−1+i32-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1−i3211−1+i321−i321−i321−i321−i321+i321+i321+i321+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
χ191111111-1-111-1-1-1-111111111111111111111111-111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ201111111-1-111-1-1-1-111111111111111111111111-111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−1−i32−1+i32-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111111111−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1−1−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
χ211111111-1-111-1-1-1-111111111111111111111111-111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−1+i32−1−i32-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111111111−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1−1+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
χ221111111-1-111-1-1-1-11111111111111111111111-11-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ231111111-1-111-1-1-1-11111111111111111111111-11-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i321-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i3211111111−1−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
χ241111111-1-111-1-1-1-11111111111111111111111-11-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i321-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i3211111111−1+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
χ251111111-1-111-1-1-1-1111111−1−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+i321-111-1-11-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32111-11111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+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
χ261111111-1-111-1-1-1-1111111−1−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+i321-111-1-11-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−1−i32−1+i32-111−1−i32−1+i32−1+i3211−1−i32-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i321+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
χ271111111-1-111-1-1-1-1111111−1−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+i321-111-1-11-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−1+i32−1−i32-111−1+i32−1−i321−1−i32−1+i321-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i3211+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
χ281111111-1-111-1-1-1-1111111−1−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+i32-11-1-1111-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1111-1-111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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
χ291111111-1-111-1-1-1-1111111−1−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+i32-11-1-1111-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1−1−i32−1+i321-1-1−1−i32−1+i32−1+i3211−1−i32111+i321+i321+i321+i321−i321−i321−i321−i32−1+i3211−1−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+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
χ301111111-1-111-1-1-1-1111111−1−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+i32-11-1-1111-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1−1+i32−1−i321-1-1−1+i32−1−i321−1−i32−1+i321111+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−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+i321-1-11+i321+i321−i321−i32-1-11−i321+i32−1+i32−1−i32-11+i321−i32-11−1−i32−1+i321
χ311111111-1-111-1-1-1-1111111−1+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−i321-111-1-11-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32111-11111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−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
χ321111111-1-111-1-1-1-1111111−1+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−i321-111-1-11-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−1−i32−1+i32-111−1−i32−1+i321−1+i32−1−i321-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i3211−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
χ331111111-1-111-1-1-1-1111111−1+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−i321-111-1-11-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−1+i32−1−i32-111−1+i32−1−i32−1−i3211−1+i32-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i321−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
χ341111111-1-111-1-1-1-1111111−1+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−i32-11-1-1111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1111-1-111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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
χ351111111-1-111-1-1-1-1111111−1+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−i32-11-1-1111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1−1−i32−1+i321-1-1−1−i32−1+i321−1+i32−1−i321111−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+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−i321-1-11−i321−i321+i321+i32-1-11+i321−i32−1−i32−1+i32-11−i321+i32-11−1+i32−1−i321
χ361111111-1-111-1-1-1-1111111−1+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−i32-11-1-1111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1−1+i32−1−i321-1-1−1+i32−1−i32−1−i3211−1+i32111−i321−i321−i321−i321+i321+i321+i321+i32−1−i3211−1+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−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
χ37222222-200-2-200002222222222222222222222000000-200-2-20000-2-2-2-2-2-2-2-200000000000000000220002222220000000000222200000000-2-20000-2-2-2-200000000000000000000
χ38222222-200-2-200002222222222222222222222000000-200-2-20000-2-2-2-2-2-2-2-200000000000000000−1−i3−1+i3000−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000000000−1−i3−1−i3−1+i3−1+i3000000001+i31−i300001+i31+i31−i31−i300000000000000000000
χ39222222-200-2-200002222222222222222222222000000-200-2-20000-2-2-2-2-2-2-2-200000000000000000−1+i3−1−i3000−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000000000−1+i3−1+i3−1−i3−1−i3000000001−i31+i300001−i31−i31+i31+i300000000000000000000
χ40222222-200-2-20000222222−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i3000000-200-2-200001+i31+i31+i31−i31−i31−i31+i31−i3000000000000000002200022−1−i3−1+i3−1−i3−1+i30000000000−1−i3−1+i3−1−i3−1+i300000000-2-200001+i31−i31+i31−i300000000000000000000
χ41222222-200-2-20000222222−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i3000000-200-2-200001+i31+i31+i31−i31−i31−i31+i31−i300000000000000000−1−i3−1+i3000−1−i3−1+i3−1+i322−1−i30000000000−1+i322−1−i3000000001+i31−i300001−i3-2-21+i300000000000000000000
χ42222222-200-2-20000222222−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i3000000-200-2-200001+i31+i31+i31−i31−i31−i31+i31−i300000000000000000−1+i3−1−i3000−1+i3−1−i32−1−i3−1+i3200000000002−1−i3−1+i32000000001−i31+i30000-21+i31−i3-200000000000000000000
χ43222222-200-2-20000222222−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1−i3000000-200-2-200001−i31−i31−i31+i31+i31+i31−i31+i3000000000000000002200022−1+i3−1−i3−1+i3−1−i30000000000−1+i3−1−i3−1+i3−1−i300000000-2-200001−i31+i31−i31+i300000000000000000000
χ44222222-200-2-20000222222−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1−i3000000-200-2-200001−i31−i31−i31+i31+i31+i31−i31+i300000000000000000−1−i3−1+i3000−1−i3−1+i32−1+i3−1−i3200000000002−1+i3−1−i32000000001+i31−i30000-21−i31+i3-200000000000000000000
χ45222222-200-2-20000222222−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1−i3000000-200-2-200001−i31−i31−i31+i31+i31+i31−i31+i300000000000000000−1+i3−1−i3000−1+i3−1−i3−1−i322−1+i30000000000−1−i322−1+i3000000001−i31+i300001+i3-2-21−i300000000000000000000
χ462-222-2-20−i2i200−i2−i2i2i22-222-2-222222-2-2-2222-2-2-2-2-20000000−i2i200−i2−i2i2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2022000-2-222220000000000-2-2-2-20000000000−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i2000000000000
χ472-222-2-20−i2i200−i2−i2i2i22-222-2-222222-2-2-2222-2-2-2-2-20000000−i2i200−i2−i2i2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20−1−i3−1+i30001+i31−i3−1−i3−1−i3−1+i3−1+i300000000001+i31+i31−i31−i30000000000ζ21+ζ39−ζ21−ζ39ζ15+ζ69−ζ15−ζ690000ζ21+ζ39−ζ21−ζ39ζ21+ζ39−ζ21−ζ39ζ15+ζ69−ζ15−ζ69ζ15+ζ69−ζ15−ζ69000000000000
χ482-222-2-20−i2i200−i2−i2i2i22-222-2-222222-2-2-2222-2-2-2-2-20000000−i2i200−i2−i2i2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20−1+i3−1−i30001−i31+i3−1+i3−1+i3−1−i3−1−i300000000001−i31−i31+i31+i30000000000ζ15+ζ69−ζ15−ζ69ζ21+ζ39−ζ21−ζ390000ζ15+ζ69−ζ15−ζ69ζ15+ζ69−ζ15−ζ69ζ21+ζ39−ζ21−ζ39ζ21+ζ39−ζ21−ζ39000000000000
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χ1396-6−3+3i3−3−3i33−3i33+3i303i2−3i200−3ζ15−3ζ69−3ζ21−3ζ393ζ15+3ζ693ζ21+3ζ39-221−i31+i3−1+i3−1−i3004ζ44+4ζ68−4ζ44−4ζ68−4ζ44−4ζ684ζ444ζ68−4ζ44ζ4+4ζ52−4ζ524ζ4−4ζ4−4ζ524ζ52000000000−i2i200ζ15+ζ69ζ21+ζ39−ζ15−ζ69−ζ21−ζ390000000002ζ5+2ζ23+2ζ53+2ζ71−2ζ53−2ζ71−2ζ5−2ζ230−2ζ5−2ζ23−2ζ53−2ζ712ζ53+2ζ712ζ5+2ζ230−2ζ13−2ζ312ζ7+2ζ13+2ζ31+2ζ61−2ζ7−2ζ6102ζ13+2ζ31−2ζ7−2ζ13−2ζ31−2ζ612ζ7+2ζ610000000000000000000000000000000000000000000000000000000000000000
χ1406-6−3+3i3−3−3i33−3i33+3i303i2−3i200−3ζ15−3ζ69−3ζ21−3ζ393ζ15+3ζ693ζ21+3ζ39-221−i31+i3−1+i3−1−i300−4ζ684ζ44+4ζ68−4ζ444ζ68−4ζ44−4ζ684ζ444ζ4+4ζ52−4ζ52−4ζ4−4ζ4−4ζ524ζ524ζ4000000000−i2i200ζ15+ζ69ζ21+ζ39−ζ15−ζ69−ζ21−ζ39000000000−2ζ5−2ζ232ζ5+2ζ23+2ζ53+2ζ71−2ζ53−2ζ7102ζ5+2ζ23−2ζ5−2ζ23−2ζ53−2ζ712ζ53+2ζ7102ζ7+2ζ13+2ζ31+2ζ61−2ζ7−2ζ61−2ζ13−2ζ310−2ζ7−2ζ13−2ζ31−2ζ612ζ7+2ζ612ζ13+2ζ310000000000000000000000000000000000000000000000000000000000000000

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