Finite Group Databasebeta

← Group #10644193

Character table — Group #10644193

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size111111111111222222222222222222222222444444444444444444444888888888888888888888888888888888888888888888888888888888888888888161616161616
order122233666666222222446666666666661212121244444441212121212121212121212121212222444444444444444444466666612121212121212121212121212121212121212121212121212121212121212121212121212124412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ5111111111111111111111111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ7111111111111111111111111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ8111111111111111111111111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ9111111111111111111-1-1111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11111-11-11-11-1-11-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1
χ10111111111111111111-1-1111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11111-11-11-11-1-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-111
χ11111111111111111111-1-1111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11111-1-11-11-11-1-1111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1
χ12111111111111111111-1-1111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11111-1-11-11-11-1-11-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-111
χ13111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-111-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111
χ14111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-111-1-11111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-111-1-1
χ15111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-11-1111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111
χ16111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-11-11-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1
χ171111−1−i32−1+i32−1−i32−1+i32−1−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+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+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−i32−1+i32
χ181111−1−i32−1+i32−1−i32−1+i32−1−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+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−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−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i32
χ191111−1−i32−1+i32−1−i32−1+i32−1−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+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i321+i321−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+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i3211−1−i32−1+i32−1−i32−1+i32
χ201111−1−i32−1+i32−1−i32−1+i32−1−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+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-11-1-1-1-1-1-111111111−1−i32−1+i321+i321−i321+i321−i321+i321−i321+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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ211111−1−i32−1+i32−1−i32−1+i32−1−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+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-111-1-1-1-1-11111111111-1-1-1-11+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+i32−1−i32−1−i32−1+i32−1+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−i32-1-11+i321−i321+i321−i32
χ221111−1−i32−1+i32−1−i32−1+i32−1−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+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-111-1-1-1-1-111-1-1-1-1-1-1-1-111111+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−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+i3211−1−i32−1+i32−1−i32−1+i32
χ231111−1−i32−1+i32−1−i32−1+i32−1−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+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-11111-1-1-11111-1-1-1-111111+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−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−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ241111−1−i32−1+i32−1−i32−1+i32−1−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+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11+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+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−i3211−1−i32−1+i32−1−i32−1+i32
χ251111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1−1−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−i3211-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-11-11-1-11-111-1-111-1-111-1-11+i321−i32−1−i32−1+i321+i321−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+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ261111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1−1−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−i3211-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-11-11-1-11-1-1-111-1-111-1-1111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+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−i32−1−i32−1−i32−1+i32−1+i32-111+i321−i32−1−i32−1+i32
χ271111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1−1−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−i3211-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11-11-11-1-1111-1-1-1-111-1-1111+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−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−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1−1−i32−1+i321+i321−i32
χ281111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1−1−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−i3211-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11-11-11-1-11-1-11111-1-111-1-11+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−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+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ291111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1−1−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−i32-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321−i321−i3211-1-11-1111-111-1-111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111+i321−i32−1−i32−1+i32
χ301111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1−1−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−i32-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321−i321−i3211-1-11-1111-1-1-111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ311111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1−1−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−i32-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321−i321−i321-111-11-11-1111-1-1-1-11111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+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−i32-111+i321−i32−1−i32−1+i32
χ321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-1−1−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−i32-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321−i321−i321-111-11-11-11-1-11111-1-1-1-111−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1−1−i32−1+i321+i321−i32
χ331111−1+i32−1−i32−1+i32−1−i32−1+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−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−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+i32−1−i32
χ341111−1+i32−1−i32−1+i32−1−i32−1+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−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+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+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i32
χ351111−1+i32−1−i32−1+i32−1−i32−1+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−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i321−i321+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−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ361111−1+i32−1−i32−1+i32−1−i32−1+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−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-11-1-1-1-1-1-111111111−1+i32−1−i321−i321+i321−i321+i321−i321+i321−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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ371111−1+i32−1−i32−1+i32−1−i32−1+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−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-111-1-1-1-1-11111111111-1-1-1-11−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−i32−1+i32−1+i32−1−i32−1−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+i32-1-11−i321+i321−i321+i32
χ381111−1+i32−1−i32−1+i32−1−i32−1+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−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-111-1-1-1-1-111-1-1-1-1-1-1-1-111111−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+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−i3211−1+i32−1−i32−1+i32−1−i32
χ391111−1+i32−1−i32−1+i32−1−i32−1+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−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-11111-1-1-11111-1-1-1-111111−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+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+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ401111−1+i32−1−i32−1+i32−1−i32−1+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−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11−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−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+i3211−1+i32−1−i32−1+i32−1−i32
χ411111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1−1+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+i3211-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-11-11-1-11-111-1-111-1-111-1-11−i321+i32−1+i32−1−i321−i321+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−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ421111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1−1+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+i3211-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-11-11-1-11-1-1-111-1-111-1-1111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−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+i32−1+i32−1+i32−1−i32−1−i32-111−i321+i32−1+i32−1−i32
χ431111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1−1+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+i3211-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11-11-11-1-1111-1-1-1-111-1-1111−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+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+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1−1+i32−1−i321−i321+i32
χ441111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1−1+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+i3211-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11-11-11-1-11-1-11111-1-111-1-11−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+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−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ451111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1−1+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+i32-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321+i321+i3211-1-11-1111-111-1-111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111−i321+i32−1+i32−1−i32
χ461111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1−1+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+i32-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321+i321+i3211-1-11-1111-1-1-111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+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+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ471111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1−1+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+i32-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321+i321+i321-111-11-11-1111-1-1-1-11111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−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+i32-111−i321+i32−1+i32−1−i32
χ481111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-1−1+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+i32-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321+i321+i321-111-11-11-11-1-11111-1-1-1-111−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1−1+i32−1−i321−i321+i32
χ492222222222222-2-2-2-222222-2-2-2-2-2-2-2-2222222222-2-2-2-222222-2-22-2-2-2-2-2-2-2000000200000000000000-2-2000000000000220000000000000000000000000000000000
χ502222222222222-2-2-2-222222-2-2-2-2-2-2-2-2222222-2-22-2-222-2-2-2-22-2-22-2-222222000000-20000000000000022000000000000-2-20000000000000000000000000000000000
χ512222222222222-2-2-2-22-2-222-2-2-2-2-2-2-2-222-2-2-2-222-222-2-22222-222-222-2-2-2-22000000-20000000000000022000000000000-2-20000000000000000000000000000000000
χ522222222222222-2-2-2-22-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-22222-2-2-2-2-222-2222222-2000000200000000000000-2-2000000000000220000000000000000000000000000000000
χ53222222222222-222-2-2-222-2-222-2-222-2-2-2-2222200-22-2000000-22-2-22-2000000022-2-20000000000000000000002222-2-2-2-2000000000000000000000000000000000000
χ54222222222222-222-2-2-222-2-222-2-222-2-2-2-2222200-22-2000000-22-2-22-20000000-2-222000000000000000000000-2-2-2-22222000000000000000000000000000000000000
χ55222222222222-222-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2002-220000002-222-2200000002-2-2200000000000000000000022-2-2-2-222000000000000000000000000000000000000
χ56222222222222-222-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2002-220000002-222-220000000-222-2000000000000000000000-2-22222-2-2000000000000000000000000000000000000
χ57222222222222-2-2-222-222-2-2-2-222-2-222-2-2222200-2-22000000-2-22-2-22000002200000-2-20000000000000022220000000000-2-2-2-2000000000000000000000000000000
χ58222222222222-2-2-222-222-2-2-2-222-2-222-2-2222200-2-22000000-2-22-2-2200000-2-2000002200000000000000-2-2-2-200000000002222000000000000000000000000000000
χ59222222222222-2-2-222-2-2-2-2-2-2-222-2-222-2-2-2-2-2-20022-200000022-222-2000002-200000-220000000000000022-2-20000000000-2-222000000000000000000000000000000
χ60222222222222-2-2-222-2-2-2-2-2-2-222-2-222-2-2-2-2-2-20022-200000022-222-200000-22000002-200000000000000-2-222000000000022-2-2000000000000000000000000000000
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χ772222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-222-2-2-2221−i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i300-22-20000001−i3−1+i31−i31+i3−1−i31+i3000000022-2-2000000000000000000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000000000000000000000000000000000000
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χ1072-2-22−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i32-22-22-200−1+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31−i31+i30000−2i2i0002i−2i−2ζ72ζ7−2ζ112ζ110000002ζ7−2ζ72ζ11−2ζ11000000000000002-200−2i2i000000000000000000000000000000−1+i31−i3−1−i31+i30000−2ζ72ζ7−2ζ112ζ110000000000
χ1082-2-22−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i32-22-22-200−1+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31−i31+i30000−2i2i0002i−2i−2ζ72ζ7−2ζ112ζ110000002ζ7−2ζ72ζ11−2ζ1100000000000000-22002i−2i0000000000000000000000000000001−i3−1+i31+i3−1−i300002ζ7−2ζ72ζ11−2ζ110000000000
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χ1134-44-4−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i30000004-4000000000000−2−2i32+2i3−2+2i32−2i300000000000000000000000000000002i−2i2i−2i00000000000000000000000000002ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ1144-44-4−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i30000004-4000000000000−2−2i32+2i3−2+2i32−2i30000000000000000000000000000000−2i2i−2i2i0000000000000000000000000000−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ70000000000000000000000
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χ1174-44-4−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i30000004-4000000000000−2+2i32−2i3−2−2i32+2i300000000000000000000000000000002i−2i2i−2i00000000000000000000000000002ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000
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χ1204-44-4−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i3000000-440000000000002−2i3−2+2i32+2i3−2−2i30000000000000000000000000000000−2i2i2i−2i0000000000000000000000000000−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ1214-4-4444-4-4-4-444-44-4-44400-4-44-4-444-4-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-4444-4-4-4-444-4-444-4400-4-4-444-4-444-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-44−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i3-44-4-444002+2i32−2i3−2−2i32+2i32+2i3−2−2i3−2+2i32−2i32−2i3−2+2i3−2−2i3−2+2i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1244-4-44−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i3-4-444-44002+2i32−2i32+2i3−2−2i3−2−2i32+2i32−2i3−2+2i3−2+2i32−2i3−2−2i3−2+2i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-44−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i3-44-4-444002−2i32+2i3−2+2i32−2i32−2i3−2+2i3−2−2i32+2i32+2i3−2−2i3−2+2i3−2−2i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-44−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i3-4-444-44002−2i32+2i32−2i3−2+2i3−2+2i32−2i32+2i3−2−2i3−2−2i32+2i3−2+2i3−2−2i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-88888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8−4−4i3−4+4i3−4−4i3−4+4i34+4i34−4i34+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12988-8-8−4+4i3−4−4i3−4+4i3−4−4i34−4i34+4i34−4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.