Finite Group Databasebeta

← Group #13153748

Character table — Group #13153748

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size1122222222233334444444444444444444666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818363636363636363636363636363636363636363636
order1222234444633662224666666666121212121212333666666666121212121212121266666666666666666666666666666666612121212121212121212121212121212121212128824242424244466888121212121212242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111
χ4111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1
χ511111111111−1−i32−1+i32−1−i32−1+i3211111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ611111111111−1−i32−1+i32−1−i32−1+i3211111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32
χ711111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111-1-1-1-1-1-11111-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−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−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ811111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111-1-1-1-1-1-11111-1-11−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−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−i32-1-11+i321+i321−i321−i321111−1−i32−1+i32-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ911111111111−1+i32−1−i32−1+i32−1−i3211111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ1011111111111−1+i32−1−i32−1+i32−1−i3211111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32
χ1111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111-1-1-1-1-1-11111-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+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+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ1211111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111-1-1-1-1-1-11111-1-11−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+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+i32-1-11−i321−i321+i321+i321111−1+i32−1−i32-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ13111-1-111-1-111111111-1-11-1-11111-1-111-1-1-1-11111-1-11-1-11111-1-11-1-11111-111-11-1-11-1-11-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-111-1-1-11-1-111-111-11-1-11-1-1
χ14111-1-111-1-111111111-1-11-1-11111-1-111-1-1-1-11111-1-11-1-11111-1-11-1-11111-111-11-1-11-1-11-1-11111-1-11111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-11-1-11-111-111
χ15111-1-111-1-1111111-1-1111-1-1-1-1-1-11111-1-1111111-1-11-1-11111-1-11-1-111-1-11-1-111-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-11111111111111-1-11111-1-1-1-11-1-111-1-11-1-1
χ16111-1-111-1-1111111-1-1111-1-1-1-1-1-11111-1-1111111-1-11-1-11111-1-11-1-111-1-11-1-111-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-111
χ17111-1-111-1-111−1−i32−1+i32−1−i32−1+i3211-1-11-1-11111-1-111-1-1-1-11−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-111-11+i321−i321-1-1−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i321+i321+i32−1+i321−i321−i32
χ18111-1-111-1-111−1−i32−1+i32−1−i32−1+i3211-1-11-1-11111-1-111-1-1-1-11−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i321111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321-1-11−1−i32−1+i32-1111+i321+i32−1−i321−i321−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ19111-1-111-1-111−1−i32−1+i32−1−i32−1+i32-1-1111-1-1-1-1-1-11111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321-1-11−1−i32−1+i321-1-11+i321+i32−1−i321−i321−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ20111-1-111-1-111−1−i32−1+i32−1−i32−1+i32-1-1111-1-1-1-1-1-11111-1-1111−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-111-11+i321−i32-111−1−i32−1−i321+i32−1+i32−1+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ21111-1-111-1-111−1+i32−1−i32−1+i32−1−i3211-1-11-1-11111-1-111-1-1-1-11−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-111-11−i321+i321-1-1−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i321−i321−i32−1−i321+i321+i32
χ22111-1-111-1-111−1+i32−1−i32−1+i32−1−i3211-1-11-1-11111-1-111-1-1-1-11−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i321111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321-1-11−1+i32−1−i32-1111−i321−i32−1+i321+i321+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ23111-1-111-1-111−1+i32−1−i32−1+i32−1−i32-1-1111-1-1-1-1-1-11111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321-1-11−1+i32−1−i321-1-11−i321−i32−1+i321+i321+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ24111-1-111-1-111−1+i32−1−i32−1+i32−1−i32-1-1111-1-1-1-1-1-11111-1-1111−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-111-11−i321+i32-111−1+i32−1+i321−i32−1−i32−1−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ2511-11-11-11-11111111-11-1-11-111-1-1111-11-1-1-1111-11-1-11-1111-11-1-11-1111-111-11-11-1-11-1-11-111-1-11111-1-11111-1-111-1-11-11-11-11-11-11-1-1-1-1-1-1-1111111-11-11-1-1-11-11-111-11-11-1-11-1
χ2611-11-11-11-11111111-11-1-11-111-1-1111-11-1-1-1111-11-1-11-1111-11-1-11-1111-111-11-11-1-11-1-11-111-1-11111-1-11111-1-111-1-11-11-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-11-11-1-11-11-111-11
χ2711-11-11-11-1111111-11-11-11-1-1-111-1-11-11-111111-11-1-11-1111-11-1-11-111-11-1-11-1-11-1-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1111-11-11-11-11-11-11111111111111-11-111-11-1-11-1-11-1-11-1-11-1
χ2811-11-11-11-1111111-11-11-11-1-1-111-1-11-11-111111-11-1-11-1111-11-1-11-111-11-1-11-1-11-1-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1111-11-11-11-11-11-1111111-1-1-1-1-1-1-11-11-1-11-111-111-111-111-11
χ2911-11-11-11-111−1−i32−1+i32−1−i32−1+i321-11-1-11-111-1-1111-11-1-1-11−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i3211-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1+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+i321−i32-11-1−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ3011-11-11-11-111−1−i32−1+i32−1−i32−1+i321-11-1-11-111-1-1111-11-1-1-11−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i3211-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1+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−i32-1-11+i321+i321−i321−i321-11-1−1−i32−1+i321-111+i32−1−i321+i321−i32−1+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ3111-11-11-11-111−1−i32−1+i32−1−i32−1+i32-11-11-11-1-1-111-1-11-11-1111−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i32-1-111-1-11+i321+i32−1−i32−1−i321+i321+i321−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−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321-11-1−1−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32
χ3211-11-11-11-111−1−i32−1+i32−1−i32−1+i32-11-11-11-1-1-111-1-11-11-1111−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i32-1-111-1-11+i321+i32−1−i32−1−i321+i321+i321−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−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11-111+i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ3311-11-11-11-111−1+i32−1−i32−1+i32−1−i321-11-1-11-111-1-1111-11-1-1-11−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i3211-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1−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−i321+i32-11-1−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ3411-11-11-11-111−1+i32−1−i32−1+i32−1−i321-11-1-11-111-1-1111-11-1-1-11−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i3211-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1−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+i32-1-11−i321−i321+i321+i321-11-1−1+i32−1−i321-111−i32−1+i321−i321+i32−1−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ3511-11-11-11-111−1+i32−1−i32−1+i32−1−i32-11-11-11-1-1-111-1-11-11-1111−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i32-1-111-1-11−i321−i32−1+i32−1+i321−i321−i321+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+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321-11-1−1+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32
χ3611-11-11-11-111−1+i32−1−i32−1+i32−1−i32-11-11-11-1-1-111-1-11-11-1111−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i32-1-111-1-11−i321−i32−1+i32−1+i321−i321−i321+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+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11-111−i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ3711-1-111-1-111111111-1-11-1-1111-1-1-1-11-1-1111111-1-11-1-11111-1-11-1-11111-1-11-1-1-1-11-1-11-1-1111-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-111-1-1111111111111111-1-111-1-111-1-11-1-1-1-11-1-11
χ3811-1-111-1-111111111-1-11-1-1111-1-1-1-11-1-1111111-1-11-1-11111-1-11-1-11111-1-11-1-1-1-11-1-11-1-1111-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-111-11111-111-1
χ3911-1-111-1-11111111-111-1-1-11-1-111111-1-11-1-1111-1-11-1-11111-1-11-1-1111-111-111-1-11-1-11-1-11-1-11111-1-11111-1-11111-1-11-1-111-1-111-1-11-1-1-1-1-1-1111111-1-111-1-1-1-11-111-111-1-11-1-11
χ4011-1-111-1-11111111-111-1-1-11-1-111111-1-11-1-1111-1-11-1-11111-1-11-1-1111-111-111-1-11-1-11-1-11-1-11111-1-11111-1-11111-1-11-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11-1-111-111-1
χ4111-1-111-1-1111−1−i32−1+i32−1−i32−1+i321-1-11-1-1111-1-1-1-11-1-11111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-111+i321+i32−1−i321−i321−i32−1+i3211-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1+i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i32-1-11−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i321−i321−i32−1+i32
χ4211-1-111-1-1111−1−i32−1+i32−1−i32−1+i321-1-11-1-1111-1-1-1-11-1-11111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-111+i321+i32−1−i321−i321−i32−1+i3211-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1+i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1111+i321−i3211-11+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ4311-1-111-1-1111−1−i32−1+i32−1−i32−1+i32-111-1-1-11-1-111111-1-11-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-111111+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321−i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1111+i321−i32-1-111+i32−1−i32−1−i321−i32−1+i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ4411-1-111-1-1111−1−i32−1+i32−1−i32−1+i32-111-1-1-11-1-111111-1-11-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32-1-111111+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321−i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1+i3211-1−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ4511-1-111-1-1111−1+i32−1−i32−1+i32−1−i321-1-11-1-1111-1-1-1-11-1-11111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-111−i321−i32−1+i321+i321+i32−1−i3211-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1−i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1−i32-1-11−1+i321−i321−i32−1−i321+i321+i321−i321−i32−1+i321+i321+i32−1−i32
χ4611-1-111-1-1111−1+i32−1−i32−1+i32−1−i321-1-11-1-1111-1-1-1-11-1-11111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-111−i321−i32−1+i321+i321+i32−1−i3211-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1−i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1111−i321+i3211-11−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ4711-1-111-1-1111−1+i32−1−i32−1+i32−1−i32-111-1-1-11-1-111111-1-11-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-111111−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321+i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1111−i321+i32-1-111−i32−1+i32−1+i321+i32−1−i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ4811-1-111-1-1111−1+i32−1−i32−1+i32−1−i32-111-1-1-11-1-111111-1-11-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32-1-111111−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321+i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1−i3211-1−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ492222222222222222222222222222222222-1-1-1222222-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ50222222222222222-2-2-2-2222-2-2-2-2-2-22222-2-2-1-1-1222222-1-1-122222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111111111-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000
χ5122222222222−1−i3−1+i3−1−i3−1+i32222222222222222222-11+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32000000000000000000000000000
χ5222222222222−1−i3−1+i3−1−i3−1+i3-2-2-2-2222-2-2-2-2-2-22222-2-2-11+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i31+i31+i31+i31−i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000000000000000
χ5322222222222−1+i3−1−i3−1+i3−1−i32222222222222222222-11−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32000000000000000000000000000
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χ13424-24000-12000012000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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