Finite Group Databasebeta

← Group #10638431

Character table — Group #10638431

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111222222222222444444444444444444444444444444444444444888888888888888888888888888888888888888888161616161616161616161616161616
order1222336666664444121212121212121222444446666888888121212121212121212122424242424242424242424242244466668888888881212121212122424242424242424242424242424242424244444812121212121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-111-111-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111-1-111111111-1-1-1-111-1-1-1-111111111-11111-1-111-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1
χ41111111111111111111111111111-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-11111
χ511111111111111111111111111-1-11111111111111-1-1-1-11111111111111111111-11-1-111-1-11-1-111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111
χ711111111111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-111-1-11111
χ811111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-111-1-1111111-1-111-1-11111-1-1-1-111111111-111-1-1-1-11111-1-1-1-1
χ9111111111111111111111111-1-111111-1-1-1-1-1-111111111111111-1-1-1-11111111111-1111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-111-1-111-1-1
χ10111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-1-11111-1-111
χ11111111111111111111111111-1-111-1-11-1-1-1-11111111111-1-1-1-111111111111111-11-111-1-111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111
χ12111111111111111111111111-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111-1-1-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1
χ13111111111111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1111-1-111-1-111
χ14111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11111-1-111-1-1-1-111-1-111111111-1-1-1-111111-1-11-111-1-1-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111111111-1-1
χ16111111111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111111-1-1-1-111
χ171111−1−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+i321111111−1−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+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ181111−1−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+i321111111−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321-111-1−1−i32−1+i321+i321−i32111-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i3211-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32
χ191111−1−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+i321111-1-11−1−i32−1−i32−1+i32−1+i32-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-111111+i321−i32−1−i32−1+i32-1-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-11-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32
χ201111−1−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+i321111-1-11−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-11+i321−i321+i321−i32-1-1-1-1-11111−1−i32−1+i32−1−i32−1+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+i321-1-111−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ211111−1−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+i3211-1-1111−1−i32−1−i32−1+i32−1+i321111111+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−i32−1−i32−1+i32−1+i32−1+i32−1+i321-11-1-1−1−i32−1+i321+i321−i321-1-1111111−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+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+i32-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ221111−1−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+i3211-1-1111−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321+i321−i321−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−i32111-11−1−i32−1+i32−1−i32−1+i321-1-1-1-1-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ231111−1−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+i3211-1-1-1-11−1−i32−1−i32−1+i32−1+i32-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11-1-11+i321−i321+i321−i32-11111-1-1-1-1−1−i32−1+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−i32-11-1111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ241111−1−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+i3211-1-1-1-11−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-111-111+i321−i32−1−i32−1+i32-111-1-11111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ251111−1−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+i32-1-1111111+i321+i321−i321−i32-1-11111−1−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−i32−1+i32−1+i32−1+i32−1+i3211-111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-111-1-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11-11-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ261111−1−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+i32-1-1111111+i321+i321−i321−i32-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-1-11-1−1−i32−1+i321+i321−i32-1-1-111-1-1111+i321−i32−1−i32−1+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+i32-111-111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ271111−1−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+i32-1-111-1-111+i321+i321−i321−i32111111−1−i32−1−i32−1+i32−1+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+i32−1+i32-11-1111+i321−i32−1−i32−1+i32111-1-1-1-1111+i321−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−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32
χ281111−1−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+i32-1-111-1-111+i321+i321−i321−i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11-11+i321−i321+i321−i321111111-1-11+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−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-111-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ291111−1−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+i32-1-1-1-11111+i321+i321−i321−i32-1-111111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-1-1-1−1−i32−1+i321+i321−i32-111-1-111-1-11+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−i321−i321-11-11−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ301111−1−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+i32-1-1-1-11111+i321+i321−i321−i32-1-1-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-11−1−i32−1+i32−1−i32−1+i32-11111-1-1111+i321−i321+i321−i32−1−i32−1+i321+i321−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+i321-1-11-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32
χ311111−1−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+i32-1-1-1-1-1-111+i321+i321−i321−i321111111+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+i32−1+i32-1-1-1-1-11+i321−i321+i321−i321-1-1-1-1-1-1111+i321−i321+i321−i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ321111−1−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+i32-1-1-1-1-1-111+i321+i321−i321−i3211-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11-1-111+i321−i32−1−i32−1+i321-1-11111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ331111−1+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−i321111111−1+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−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ341111−1+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−i321111111−1+i32−1+i32−1−i32−1−i3211-1-1-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321-111-1−1+i32−1−i321−i321+i32111-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i3211-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32
χ351111−1+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−i321111-1-11−1+i32−1+i32−1−i32−1−i32-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-111111−i321+i32−1+i32−1−i32-1-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-11-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32
χ361111−1+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−i321111-1-11−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-11−i321+i321−i321+i32-1-1-1-1-11111−1+i32−1−i32−1+i32−1−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−i321-1-111−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ371111−1+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−i3211-1-1111−1+i32−1+i32−1−i32−1−i321111111−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+i32−1+i32−1−i32−1−i32−1−i32−1−i321-11-1-1−1+i32−1−i321−i321+i321-1-1111111−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−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−i32-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ381111−1+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−i3211-1-1111−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321−i321+i321+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+i32111-11−1+i32−1−i32−1+i32−1−i321-1-1-1-1-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ391111−1+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−i3211-1-1-1-11−1+i32−1+i32−1−i32−1−i32-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11-1-11−i321+i321−i321+i32-11111-1-1-1-1−1+i32−1−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+i32-11-1111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ401111−1+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−i3211-1-1-1-11−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-111-111−i321+i32−1+i32−1−i32-111-1-11111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ411111−1+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−i32-1-1111111−i321−i321+i321+i32-1-11111−1+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+i32−1−i32−1−i32−1−i32−1−i3211-111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-111-1-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11-11-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ421111−1+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−i32-1-1111111−i321−i321+i321+i32-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-1-11-1−1+i32−1−i321−i321+i32-1-1-111-1-1111−i321+i32−1+i32−1−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−i32-111-111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ431111−1+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−i32-1-111-1-111−i321−i321+i321+i32111111−1+i32−1+i32−1−i32−1−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−i32−1−i32-11-1111−i321+i32−1+i32−1−i32111-1-1-1-1111−i321+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+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32
χ441111−1+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−i32-1-111-1-111−i321−i321+i321+i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11-11−i321+i321−i321+i321111111-1-11−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+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-111-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ451111−1+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−i32-1-1-1-11111−i321−i321+i321+i32-1-111111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1-1-1-1−1+i32−1−i321−i321+i32-111-1-111-1-11−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+i321+i321-11-11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ461111−1+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−i32-1-1-1-11111−i321−i321+i321+i32-1-1-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-11−1+i32−1−i32−1+i32−1−i32-11111-1-1111−i321+i321−i321+i32−1+i32−1−i321−i321+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−i321-1-11-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32
χ471111−1+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−i32-1-1-1-1-1-111−i321−i321+i321+i321111111−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−i32−1−i32-1-1-1-1-11−i321+i321−i321+i321-1-1-1-1-1-1111−i321+i321−i321+i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ481111−1+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−i32-1-1-1-1-1-111−i321−i321+i321+i3211-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11-1-111−i321+i32−1+i32−1−i321-1-11111-1-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ4922222222222222-2-222-2-222-2-2002200-200000022-2-222220000-2-2000022-2-222-2-2020-2-2002200000000000-2-2-2-2000000000000000000000000000000000
χ5022222222222222-2-222-2-222-2-2002200-2000000-2-22222220000-2-20000-2-222-2-2220-20-2200-2-200000000000-2-222000000000000000000000000000000000
χ5122222222222222-2-222-2-222-2-200-2-200-200000022-2-2-2-2-2-20000-2-2000022-2-222-2-20-202200-2-2000000000002222000000000000000000000000000000000
χ5222222222222222-2-222-2-222-2-200-2-200-2000000-2-222-2-2-2-20000-2-20000-2-222-2-2220202-200220000000000022-2-2000000000000000000000000000000000
χ53222222222222-2-222-2-222-2-222220022-2222222000000002222-2-2222200000000-20-200-2-200-200000000-2-20000-2-20000000000000000000000000000000
χ54222222222222-2-222-2-222-2-2222200-2-2-22222-2-200000000-2-2-2-2-2-2-2-2-2-20000000020-2002200200000000-2-20000220000000000000000000000000000000
χ55222222222222-2-222-2-222-2-222-2-20022-2-2-2-2-2-2-2000000002222-2-2-2-2-2-200000000-20200-2-200200000000220000220000000000000000000000000000000
χ56222222222222-2-222-2-222-2-222-2-200-2-2-2-2-2-2-22200000000-2-2-2-2-2-2222200000000202002200-200000000220000-2-20000000000000000000000000000000
χ572222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3002200-200000022-2-2−1−i3−1−i3−1+i3−1+i300001+i31−i30000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3020-2-200−1−i3−1+i3000000000001+i31−i31+i31−i3000000000000000000000000000000000
χ582222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3002200-2000000-2-222−1−i3−1−i3−1+i3−1+i300001+i31−i300001+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i30-20-22001+i31−i3000000000001+i31−i3−1−i3−1+i3000000000000000000000000000000000
χ592222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i300-2-200-200000022-2-21+i31+i31−i31−i300001+i31−i30000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i30-2022001+i31−i300000000000−1−i3−1+i3−1−i3−1+i3000000000000000000000000000000000
χ602222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i300-2-200-2000000-2-2221+i31+i31−i31−i300001+i31−i300001+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i30202-200−1−i3−1+i300000000000−1−i3−1+i31+i31−i3000000000000000000000000000000000
χ612222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3220022-2−1−i3−1−i3−1+i3−1+i32200000000−1−i3−1−i3−1+i3−1+i31+i31−i3−1−i3−1−i3−1+i3−1+i300000000-20-2001+i31−i300-2000000001+i31−i300001+i31−i30000000000000000000000000000000
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χ632222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-2-20022-21+i31+i31−i31−i3-2-200000000−1−i3−1−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i300000000-202001+i31−i300200000000−1−i3−1+i30000−1−i3−1+i30000000000000000000000000000000
χ642222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-2-200-2-2-21+i31+i31−i31−i322000000001+i31+i31−i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i30000000020200−1−i3−1+i300-200000000−1−i3−1+i300001+i31−i30000000000000000000000000000000
χ652222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3002200-200000022-2-2−1+i3−1+i3−1−i3−1−i300001−i31+i30000−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3020-2-200−1+i3−1−i3000000000001−i31+i31−i31+i3000000000000000000000000000000000
χ662222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3002200-2000000-2-222−1+i3−1+i3−1−i3−1−i300001−i31+i300001−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i30-20-22001−i31+i3000000000001−i31+i3−1+i3−1−i3000000000000000000000000000000000
χ672222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i300-2-200-200000022-2-21−i31−i31+i31+i300001−i31+i30000−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i30-2022001−i31+i300000000000−1+i3−1−i3−1+i3−1−i3000000000000000000000000000000000
χ682222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i300-2-200-2000000-2-2221−i31−i31+i31+i300001−i31+i300001−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i30202-200−1+i3−1−i300000000000−1+i3−1−i31−i31+i3000000000000000000000000000000000
χ692222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3220022-2−1+i3−1+i3−1−i3−1−i32200000000−1+i3−1+i3−1−i3−1−i31−i31+i3−1+i3−1+i3−1−i3−1−i300000000-20-2001−i31+i300-2000000001−i31+i300001−i31+i30000000000000000000000000000000
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χ984444−2−2i3−2+2i3−2−2i3−2+2i3−2−2i3−2−2i3−2+2i3−2+2i3-4-4-4-42+2i32+2i32+2i32+2i32−2i32−2i32−2i32−2i30000004000000000000000000−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000
χ994444−2+2i3−2−2i3−2+2i3−2−2i3−2+2i3−2+2i3−2−2i3−2−2i3-4-4-4-42−2i32−2i32−2i32−2i32+2i32+2i32+2i32+2i30000004000000000000000000−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-444-4-44-44-400-4400-4400-440000000000000−2i22i22i2−2i200000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000
χ1014-44-444-4-44-44-400-4400-4400-4400000000000002i2−2i2−2i22i2000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000
χ1024-44-4−2−2i3−2+2i32+2i32−2i3−2−2i32+2i3−2+2i32−2i300-44002+2i3−2−2i3002−2i3−2+2i30000000000000−2i22i22i2−2i2000000000000002ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ132ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ23000000000000000000000000000000000000000000000000000000000
χ1034-44-4−2−2i3−2+2i32+2i32−2i3−2−2i32+2i3−2+2i32−2i300-44002+2i3−2−2i3002−2i3−2+2i300000000000002i2−2i2−2i22i200000000000000−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23000000000000000000000000000000000000000000000000000000000
χ1044-44-4−2+2i3−2−2i32−2i32+2i3−2+2i32−2i3−2−2i32+2i300-44002−2i3−2+2i3002+2i3−2−2i30000000000000−2i22i22i2−2i2000000000000002ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ232ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ13000000000000000000000000000000000000000000000000000000000
χ1054-44-4−2+2i3−2−2i32−2i32+2i3−2+2i32−2i3−2−2i32+2i300-44002−2i3−2+2i3002+2i3−2−2i300000000000002i2−2i2−2i22i200000000000000−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ23−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ13000000000000000000000000000000000000000000000000000000000
χ1064-4-4444-4-4-44-444-4004-4004-4000000000000000000000000000000000000000000000000000−2i22i200000000000000−2i22i2−2i22i2000000000000000000000000000
χ1074-4-4444-4-4-44-444-4004-4004-40000000000000000000000000000000000000000000000000002i2−2i2000000000000002i2−2i22i2−2i2000000000000000000000000000
χ1084-4-4444-4-4-44-44-4400-4400-4400004i−4i00000000000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-4444-4-4-44-44-4400-4400-440000−4i4i0000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-44−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i34-400−2−2i32+2i300−2+2i32−2i3000000000000000000000000000000000000000000000000000−2i22i2000000000000002ζ7+2ζ13−2ζ7−2ζ132ζ5+2ζ23−2ζ5−2ζ23000000000000000000000000000
χ1114-4-44−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i34-400−2−2i32+2i300−2+2i32−2i30000000000000000000000000000000000000000000000000002i2−2i200000000000000−2ζ7−2ζ132ζ7+2ζ13−2ζ5−2ζ232ζ5+2ζ23000000000000000000000000000
χ1124-4-44−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i3-44002+2i3−2−2i3002−2i3−2+2i300004i−4i00000000000004ζ22−4ζ224ζ14−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44−2−2i3−2+2i32+2i32−2i32+2i3−2−2i32−2i3−2+2i3-44002+2i3−2−2i3002−2i3−2+2i30000−4i4i0000000000000−4ζ224ζ22−4ζ144ζ14000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i34-400−2+2i32−2i300−2−2i32+2i3000000000000000000000000000000000000000000000000000−2i22i2000000000000002ζ5+2ζ23−2ζ5−2ζ232ζ7+2ζ13−2ζ7−2ζ13000000000000000000000000000
χ1154-4-44−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i34-400−2+2i32−2i300−2−2i32+2i30000000000000000000000000000000000000000000000000002i2−2i200000000000000−2ζ5−2ζ232ζ5+2ζ23−2ζ7−2ζ132ζ7+2ζ13000000000000000000000000000
χ1164-4-44−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i3-44002−2i3−2+2i3002+2i3−2−2i300004i−4i00000000000004ζ14−4ζ144ζ22−4ζ22000000000000000000000000000000000000000000000000000000000000000000000000000
χ1174-4-44−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i3-44002−2i3−2+2i3002+2i3−2−2i30000−4i4i0000000000000−4ζ144ζ14−4ζ224ζ22000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-88888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8−4−4i3−4+4i3−4−4i3−4+4i34+4i34+4i34−4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8−4+4i3−4−4i3−4+4i3−4−4i34−4i34−4i34+4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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