Finite Group Databasebeta

← Group #72277620

Character table — Group #72277620

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size11112222224444444466666666777777778812121212121212121212121214141414141414141414141424242424242424242828282828282828282828282828282828282828282828282828282828282828282828282828282856565656565656565656565656565656
order124422244422224444714141428282828336612121212441414141414142828282828286666661212121212121414282828282828222244446666666666666666121212121212121212121212121212124444121212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−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+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ511111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+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−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ611111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ7111111111111-1-111-1-11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1
χ8111111111111-1-111-1-11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111
χ9111111111111-1-111-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-111-1-111-1-1−1−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−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ10111111111111-1-111-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-111-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ11111111111111-1-111-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-111-1-111-1-1−1+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+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ12111111111111-1-111-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-111-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ131111111111-1-111-1-1111111111111111111-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-11111111111-1-111-1-11111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ141111111111-1-111-1-1111111111111111111-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ151111111111-1-111-1-11111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1-1-111111111111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−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+i321−i321−i321−i321−i32
χ161111111111-1-111-1-11111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1-1-111-1-1-1-1-1-1-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ171111111111-1-111-1-11111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1-1-111111111111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+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−i321+i321+i321+i321+i32
χ181111111111-1-111-1-11111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1-1-111-1-1-1-1-1-1-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ191111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111
χ201111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-111-1-1
χ211111111111-1-1-1-1-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11111-1-111-1-111-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ221111111111-1-1-1-1-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11111-1-1-1-111-1-1111+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ231111111111-1-1-1-1-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11111-1-111-1-111-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ241111111111-1-1-1-1-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11111-1-1-1-111-1-1111−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ2511-1-1111-1-1-1111-1-1-11-11111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-11-11-11-11-11-1111-1111-11-11-11-11-1-1-11-1-1-11-11-11-11-11-11-11-11-11-11-11-11-11-1
χ2611-1-1111-1-1-1111-1-1-11-11111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-11-1-11-11-11-11111-1111-1-11-11-11-11-1-11-1-1-11-1-11-11-11-11-11-111-11-1-11-11-11-11
χ2711-1-1111-1-1-1111-1-1-11-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-111-1-11-11-11-11-11-1−1−i32−1−i32−1−i321+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−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ2811-1-1111-1-1-1111-1-1-11-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-111-1-11-1-11-11-11-11−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321+i32−1−i321+i321−i321−i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-11-11−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ2911-1-1111-1-1-1111-1-1-11-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-111-1-11-11-11-11-11-1−1+i32−1+i32−1+i321−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+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ3011-1-1111-1-1-1111-1-1-11-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-111-1-11-1-11-11-11-11−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321−i32−1+i321−i321+i321+i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-11-11−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ3111-1-1111-1-1-111-11-1-1-111111-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-111-1-111-1-1111-1111-111-1-111-1-11-1-1-11-1-1-111-1-111-1-111-1-11-11-111-1-111-1-11
χ3211-1-1111-1-1-111-11-1-1-111111-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-11-111-1-111-111-1111-11-111-1-111-1-1-1-11-1-1-11-111-1-111-1-111-1-11-11-111-1-111-1
χ3311-1-1111-1-1-111-11-1-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-11-1-111-111-1-111-1-11−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321+i321+i32−1−i321−i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321-1-111+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ3411-1-1111-1-1-111-11-1-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-11-1-111-11-111-1-111-1−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i321+i321+i32−1−i321−i321−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-111-11+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ3511-1-1111-1-1-111-11-1-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-11-1-111-111-1-111-1-11−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321−i321−i32−1+i321+i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321-1-111−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ3611-1-1111-1-1-111-11-1-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-11-1-111-11-111-1-111-1−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i321−i321−i32−1+i321+i321+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-111-11−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ3711-1-1111-1-1-1-1-11-1111-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1-1111-11-11-11-11-1-1-11-1-1-11-11-11-11-11-1111-1111-11-11-11-11-1-11-11-11-11-11-11-11-11
χ3811-1-1111-1-1-1-1-11-1111-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1-1111-1-11-11-11-11-1-11-1-1-11-1-11-11-11-11111-1111-1-11-11-11-111-11-1-11-111-11-11-11-1
χ3911-1-1111-1-1-1-1-11-1111-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-1-1-1111-11-11-11-11-11+i321+i32−1−i321+i321−i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ4011-1-1111-1-1-1-1-11-1111-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-1-1-1111-1-11-11-11-111+i321+i32−1−i321+i321−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+i32−1+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321-11-11+i32−1−i321−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ4111-1-1111-1-1-1-1-11-1111-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-1-1-1111-11-11-11-11-11−i321−i32−1+i321−i321+i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ4211-1-1111-1-1-1-1-11-1111-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-1-1-1111-1-11-11-11-111−i321−i32−1+i321−i321+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−i32−1−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321-11-11−i32−1+i321+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ4311-1-1111-1-1-1-1-1-1111-111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1111-1-1-111-1-111-1-11-1-1-11-1-1-111-1-111-1-1111-1111-111-1-111-1-11-111-11-11-1-111-1-111-1
χ4411-1-1111-1-1-1-1-1-1111-111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1111-1-1-11-111-1-111-1-1-1-11-1-1-11-111-1-111-111-1111-11-111-1-111-11-1-111-11-11-1-111-1-11
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χ4611-1-1111-1-1-1-1-1-1111-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-111-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-1111-1-1-11-111-1-111-11+i321+i321+i32−1−i321−i321−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321-1-11−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ4711-1-1111-1-1-1-1-1-1111-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-1111-1-1-111-1-111-1-111−i321−i321−i32−1+i321+i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32-111-1−1+i321−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ4811-1-1111-1-1-1-1-1-1111-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-1111-1-1-11-111-1-111-11−i321−i321−i32−1+i321+i321+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321-1-11−1+i321−i32−1−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ4922222-2-22-2-2002-200-22222222222222222200-2-20000-2-200002-2-22-2-22-2-22-2-22-20000-2200000000002-2002-20000000000-2200-22000000000000000000000000
χ5022222-2-22-2-2002-200-2222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i300-2-20000-2-20000−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i32-20000-220000000000−1−i31+i300−1+i31−i300000000001+i3−1−i3001−i3−1+i3000000000000000000000000
χ5122222-2-22-2-2002-200-2222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300-2-20000-2-20000−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i32-20000-220000000000−1+i31−i300−1−i31+i300000000001−i3−1+i3001+i3−1−i3000000000000000000000000
χ5222222-2-22-2-200-22002-2222222222222222200-2-20000-2-200002-2-22-2-22-2-22-2-2-2200002-20000000000-2200-2200000000002-2002-2000000000000000000000000
χ5322222-2-22-2-200-22002-222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i300-2-20000-2-20000−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i3-2200002-200000000001+i3−1−i3001−i3−1+i30000000000−1−i31+i300−1+i31−i3000000000000000000000000
χ5422222-2-22-2-200-22002-222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300-2-20000-2-20000−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3-2200002-200000000001−i3−1+i3001+i3−1−i30000000000−1+i31−i300−1−i31+i3000000000000000000000000
χ552222-22-2-22-2000000002-2-2222-2-222222222002-200002-20000-22-2-22-2-22-2-22-200000000002-200-2200000000002-2002-20000000000-2200-220000000000000000
χ562222-22-2-22-2000000002-2-2222-2-222222222002-200002-20000-22-2-22-2-22-2-22-20000000000-22002-20000000000-2200-2200000000002-2002-20000000000000000
χ572222-22-2-22-2000000002-2-2222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3002-200002-200001+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i300000000002-200-220000000000−1−i31+i300−1+i31−i300000000001+i3−1−i3001−i3−1+i30000000000000000
χ582222-22-2-22-2000000002-2-2222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3002-200002-200001+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i30000000000-22002-200000000001+i3−1−i3001−i3−1+i30000000000−1−i31+i300−1+i31−i30000000000000000
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χ602222-22-2-22-2000000002-2-2222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3002-200002-200001−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i30000000000-22002-200000000001−i3−1+i3001+i3−1−i30000000000−1+i31−i300−1−i31+i30000000000000000
χ612222-2-22-2-22000000002-2-2222-2-22222222200-220000-220000-2-22-2-22-2-22-2-22000000002-200-2200000000002-2002-20000000000-2200-22000000000000000000
χ622222-2-22-2-22000000002-2-2222-2-22222222200-220000-220000-2-22-2-22-2-22-2-2200000000-22002-20000000000-2200-2200000000002-2002-2000000000000000000
χ632222-2-22-2-22000000002-2-2222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i300-220000-2200001+i31+i3−1−i31−i31−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3000000002-200-220000000000−1−i31+i300−1+i31−i300000000001+i3−1−i3001−i3−1+i3000000000000000000
χ642222-2-22-2-22000000002-2-2222-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i300-220000-2200001+i31+i3−1−i31−i31−i3−1+i31+i31+i3−1−i31−i31−i3−1+i300000000-22002-200000000001+i3−1−i3001−i3−1+i30000000000−1−i31+i300−1+i31−i3000000000000000000
χ652222-2-22-2-22000000002-2-2222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300-220000-2200001−i31−i3−1+i31+i31+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3000000002-200-220000000000−1+i31−i300−1−i31+i300000000001−i3−1+i3001+i3−1−i3000000000000000000
χ662222-2-22-2-22000000002-2-2222-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300-220000-2200001−i31−i3−1+i31+i31+i3−1−i31−i31−i3−1+i31+i31+i3−1−i300000000-22002-200000000001−i3−1+i3001+i3−1−i30000000000−1+i31−i300−1−i31+i3000000000000000000
χ6722-2-22-2-2-222002200-2-22222-2-2-2-22222-2-2-2-200-2-200002200002-2-22-2-2-222-222220000-2-200000000002200220000000000-2-200-2-2000000000000000000000000
χ6822-2-22-2-2-222002200-2-22222-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300-2-20000220000−1−i31+i31+i3−1+i31−i31−i31+i3−1−i3−1−i31−i3−1+i3−1+i3220000-2-20000000000−1−i3−1−i300−1+i3−1+i300000000001+i31+i3001−i31−i3000000000000000000000000
χ6922-2-22-2-2-222002200-2-22222-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300-2-20000220000−1+i31−i31−i3−1−i31+i31+i31−i3−1+i3−1+i31+i3−1−i3−1−i3220000-2-20000000000−1+i3−1+i300−1−i3−1−i300000000001−i31−i3001+i31+i3000000000000000000000000
χ7022-2-22-2-2-22200-2-200222222-2-2-2-22222-2-2-2-200-2-200002200002-2-22-2-2-222-222-2-20000220000000000-2-200-2-20000000000220022000000000000000000000000
χ7122-2-22-2-2-22200-2-200222222-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300-2-20000220000−1−i31+i31+i3−1+i31−i31−i31+i3−1−i3−1−i31−i3−1+i3−1+i3-2-200002200000000001+i31+i3001−i31−i30000000000−1−i3−1−i300−1+i3−1+i3000000000000000000000000
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Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.