Finite Group Databasebeta

← Group #13153483

Character table — Group #13153483

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size112222222223333444444444446666666666666666666666888812121212121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order122344688121233662244681224242424333666661212121212121212121224242424661212666666612121212121212242424242424242424242424242422446666121212126666661212121212122222666666668824242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ4111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ511111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i321−1−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+i321111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321111−1−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+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ611111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i321−1−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+i321111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321111−1−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−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ711111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111111111−1−i32−1+i32−1−i32−1+i321−1−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+i32-1-1-1-11+i321+i321−i321−i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1+i321111−1−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+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ811111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111111111−1−i32−1+i32−1−i32−1+i321−1−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+i32-1-1-1-11+i321+i321−i321−i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1+i321111−1−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−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ911111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i321−1+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−i321111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321111−1+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−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ1011111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i321−1+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−i321111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321111−1+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+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ1111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111111111−1+i32−1−i32−1+i32−1−i321−1+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−i32-1-1-1-11−i321−i321+i321+i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1−i321111−1+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−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ1211111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111111111−1+i32−1−i32−1+i32−1−i321−1+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−i32-1-1-1-11−i321−i321+i321+i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1−i321111−1+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+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ131111111-1-11111111-11-11-11-1-1-1-1111111111111111111-1-1-1-11-11-11-11-11111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11-11-11-11-111-1-111-1-111-1-1-1-1-1-1-1-1
χ141111111-1-11111111-11-11-11-1-1-1-1111111111111111111-1-1-1-11-11-11-11-11111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-1-1-111-1-111-1-111111111
χ151111111-1-1111111-11-111-11-1-1-1-1111111111111111111-1-1-1-1-11-11-11-11111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-11-11-11-1-111-1-111-1-111-1-1-1-1-1-1
χ161111111-1-1111111-11-111-11-1-1-1-1111111111111111111-1-1-1-1-11-11-11-11111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-1111-1-111-1-111-1-1111111
χ171111111-1-111−1−i32−1+i32−1−i32−1+i321-11-11-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1−1−i321+i32−1+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i321−1−i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11+i321+i321−i321−i32
χ181111111-1-111−1−i32−1+i32−1−i32−1+i321-11-11-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1−1−i321+i32−1+i321−i321−1−i32−1+i32−1−i321+i32−1+i321−i321−1−i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ191111111-1-111−1−i32−1+i32−1−i32−1+i32-11-111-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-111+i32−1−i321−i32−1+i321−1−i32−1+i321+i32−1−i321−i32−1+i321−1−i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ201111111-1-111−1−i32−1+i32−1−i32−1+i32-11-111-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-111+i32−1−i321−i32−1+i321−1−i32−1+i321+i32−1−i321−i32−1+i321−1−i32−1+i321+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ211111111-1-111−1+i32−1−i32−1+i32−1−i321-11-11-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1−1+i321−i32−1−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i321−1+i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11−i321−i321+i321+i32
χ221111111-1-111−1+i32−1−i32−1+i32−1−i321-11-11-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1−1+i321−i32−1−i321+i321−1+i32−1−i32−1+i321−i32−1−i321+i321−1+i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ231111111-1-111−1+i32−1−i32−1+i32−1−i32-11-111-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−1+i32−1−i321−i32−1+i321+i32−1−i321−1+i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ241111111-1-111−1+i32−1−i32−1+i32−1−i32-11-111-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−1+i32−1−i321−i32−1+i321+i32−1−i321−1+i32−1−i321−i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ2511-11-11111-1-1111111-1-1-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-11-11-11-11-11-11-1111111-1-1-1-1-1-11-11-11-11-11-11-11-11-11-1
χ2611-11-11111-1-1111111-1-1-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1-11-11-11-11-11-11111111-1-1-1-1-1-1-11-11-11-11-11-11-11-11-11
χ2711-11-11111-1-11111-1-111-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-11111111-1-111-1-111-1-111-1-11-11-11-11-11-11-1-1-1-1-1-1-1111111-11-11-11-11-11-111-11-11-1
χ2811-11-11111-1-11111-1-111-1-1111-1-1111-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-11111111-1-111-1-111-1-111-1-1-11-11-11-11-11-11-1-1-1-1-1-11111111-11-11-11-11-11-1-11-11-11
χ2911-11-11111-1-1−1−i32−1+i32−1−i32−1+i3211-1-1-1-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i321+i321−i321−i321−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321-1−1−i321+i32−1+i321−i32
χ3011-11-11111-1-1−1−i32−1+i32−1−i32−1+i3211-1-1-1-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i321+i321−i321−i321−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-111+i32−1−i321−i32−1+i32
χ3111-11-11111-1-1−1−i32−1+i32−1−i32−1+i32-1-111-1-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32-11+i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321-1−1−i321+i32−1+i321−i32
χ3211-11-11111-1-1−1−i32−1+i32−1−i32−1+i32-1-111-1-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32-11+i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32-111+i32−1−i321−i32−1+i32
χ3311-11-11111-1-1−1+i32−1−i32−1+i32−1−i3211-1-1-1-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i321−i321+i321+i321−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321-1−1+i321−i32−1−i321+i32
χ3411-11-11111-1-1−1+i32−1−i32−1+i32−1−i3211-1-1-1-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i321−i321+i321+i321−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-111−i32−1+i321+i32−1−i32
χ3511-11-11111-1-1−1+i32−1−i32−1+i32−1−i32-1-111-1-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321-1−1+i321−i32−1−i321+i32
χ3611-11-11111-1-1−1+i32−1−i32−1+i32−1−i32-1-111-1-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32-11−i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32-111−i32−1+i321+i32−1−i32
χ3711-11-111-1-1-1-111111-1-11-111-1-111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-11-1-1-1-1-11-1111111-1-111-1-111-1-1111-11-11-11-11-11-11-11-11-1-11-11-111-1-111-1-111-1-11-11-11-11
χ3811-11-111-1-1-1-111111-1-11-111-1-111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-11-1-1-1-1-11-1111111-1-111-1-111-1-111-11-11-11-11-11-111-11-11-1-11-11-11-111-1-111-1-111-11-11-11-1
χ3911-11-111-1-1-1-11111-111-1-111-1-111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-11-1-1-11-11-111111-1-111-1-111-1-1111-11-11-11-11-11-1-11-11-111-11-11-1-111-1-111-1-111-1-11-11-11
χ4011-11-111-1-1-1-11111-111-1-111-1-111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-11-1-1-11-11-111111-1-111-1-111-1-111-11-11-11-11-11-11-11-11-111-11-11-11-1-111-1-111-1-111-11-11-1
χ4111-11-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1-11-111-1-1111−1−i32−1+i321+i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321-1-11−1−i321+i32−1+i321−i32-11+i321−i321+i32−1−i321−i32−1+i321−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32-111+i32−1−i321−i32−1+i32
χ4211-11-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1-11-111-1-1111−1−i32−1+i321+i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321-1-11−1−i321+i32−1+i321−i32-11+i321−i321+i32−1−i321−i32−1+i321−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321-1−1−i321+i32−1+i321−i32
χ4311-11-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-111-1-111-1-1111−1−i32−1+i321+i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32-111-11+i32−1−i321−i32−1+i32-11+i321−i32−1−i321+i32−1+i321−i321−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i32-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-111+i32−1−i321−i32−1+i32
χ4411-11-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-111-1-111-1-1111−1−i32−1+i321+i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32-111-11+i32−1−i321−i32−1+i32-11+i321−i32−1−i321+i32−1+i321−i321−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321-1−1−i321+i32−1+i321−i32
χ4511-11-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1-11-111-1-1111−1+i32−1−i321−i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321-1-11−1+i321−i32−1−i321+i32-11−i321+i321−i32−1+i321+i32−1−i321−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32-111−i32−1+i321+i32−1−i32
χ4611-11-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1-11-111-1-1111−1+i32−1−i321−i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321-1-11−1+i321−i32−1−i321+i32-11−i321+i321−i32−1+i321+i32−1−i321−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321-1−1+i321−i32−1−i321+i32
χ4711-11-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-111-1-111-1-1111−1+i32−1−i321−i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32-111-11−i32−1+i321+i32−1−i32-11−i321+i32−1+i321−i32−1−i321+i321−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i32-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-111−i32−1+i321+i32−1−i32
χ4811-11-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-111-1-111-1-1111−1+i32−1−i321−i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32-111-11−i32−1+i321+i32−1−i32-11−i321+i32−1+i321−i32−1−i321+i321−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321-1−1+i321−i32−1−i321+i32
χ4922222222222222222222222222-1-1-122-1-1-122-1-1-1-1-1-122222222222222-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ50222222222222222-2-2-2-22222222-1-1-122-1-1-122-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000000000
χ5122222222222−1−i3−1+i3−1−i3−1+i322222222222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32222−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000000000
χ5222222222222−1−i3−1+i3−1−i3−1+i3-2-2-2-22222222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-2-21+i31+i31−i31−i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200000000000011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ5322222222222−1+i3−1−i3−1+i3−1−i322222222222-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32222−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000000
χ5422222222222−1+i3−1−i3−1+i3−1−i3-2-2-2-22222222-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-2-21−i31−i31+i31+i3-11−i321+i321−i31−i31+i31+i3-11−i321+i32−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3200000000000011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ552222222-2-22222222-22-22-22-2-2-2-2-1-1-122-1-1-122-1-1-1-1-1-122-2-2-2-22-22-22-22-2-1-1-12-22-2-1-1-1-2-2111111111111000000000000-11-11-11-11-11-11000000000000000000
χ562222222-2-2222222-22-222-22-2-2-2-2-1-1-122-1-1-122-1-1-1-1-1-122-2-2-2-2-22-22-22-22-1-1-1-22-22-1-1-1-2-21111111111110000000000001-11-11-11-11-11-1000000000000000000
χ572222222-2-222−1−i3−1+i3−1−i3−1+i32-22-22-22-2-2-2-2-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i31+i31+i31−i31−i32-22-2−1−i31+i3−1+i31−i3-11+i321−i32−1−i31+i3−1+i31−i3-11+i321−i321+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32000000000000000000
χ582222222-2-222−1−i3−1+i3−1−i3−1+i3-22-222-22-2-2-2-2-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i31+i31+i31−i31−i3-22-221+i3−1−i31−i3−1+i3-11+i321−i321+i3−1−i31−i3−1+i3-11+i321−i321+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000001-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32000000000000000000
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χ109666-366-366-3-300006666-36-3-3-3-3-30000000000000000000000-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000000
χ110666-366-366-3-30000-6-6-6-6-36-3-3-3-3-3000000000000000000000033330000000000000000000000000000000000000000000000000000000000000000000000
χ111666-366-3-6-6-3-300006-66-6-3-6-333330000000000000000000000-33-330000000000000000000000000000000000000000000000000000000000000000000000
χ112666-366-3-6-6-3-30000-66-66-3-6-3333300000000000000000000003-33-30000000000000000000000000000000000000000000000000000000000000000000000
χ11366-6-3-66-36633000066-6-63-6-3-3-3330000000000000000000000-3-3330000000000000000000000000000000000000000000000000000000000000000000000
χ11466-6-3-66-366330000-6-6663-6-3-3-333000000000000000000000033-3-30000000000000000000000000000000000000000000000000000000000000000000000
χ11566-6-3-66-3-6-63300006-6-6636-333-3-30000000000000000000000-333-30000000000000000000000000000000000000000000000000000000000000000000000
χ11666-6-3-66-3-6-6330000-666-636-333-3-300000000000000000000003-3-330000000000000000000000000000000000000000000000000000000000000000000000
χ117121212-6-12-12-6006600000000-6060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1181212-12-612-12-600-6-6000000006060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11912-120-600662−6263−6300000000000−323236−36000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12012-120-600662−62−636300000000000−3232−3636000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12112-120-6006−626263−630000000000032−32−3636000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12212-120-6006−6262−63630000000000032−3236−36000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.