Finite Group Databasebeta

← Group #10628674

Character table — Group #10628674

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111111111111111111111222222222222222222222222444444444444444444444444444444888888888888888888888888888888888888888888888888161616161616161616161616
order1222222233666666666666664444444412121212121212121212121212121212448888888812121212242424242424242424242424242424244444444488888888121212121212121212121212121212122424242424242424242424242424242444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1
χ911111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1+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−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−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
χ1011111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1+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−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-11111-1-1-1-1−1−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−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ1111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1+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−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111-1-1-1-111111+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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ1211111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1+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−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321+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
χ1311111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i3211111111-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ1411111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111-1-1-1-1-1-1-1-11111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ1511111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-111111111-1-1-1-11+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+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ1611111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1111111111+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+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ1711111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−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+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+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
χ1811111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−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+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-11111-1-1-1-1−1+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+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ1911111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−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+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11111-1-1-1-111111−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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ2011111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−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+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321−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
χ2111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i3211111111-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ2211111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111-1-1-1-1-1-1-1-11111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ2311111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-111111111-1-1-1-11−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−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ2411111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1111111111−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−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ25222222222222222222222222222-2-2-22-2222222-2-2-2-2-2-222-2-2-2-200000000-2-2-2-2000000000000000022-2-200000000000022-2-222-2-2000000000000000000000000000000000000
χ26222222222222222222222222222-2-2-22-2222222-2-2-2-2-2-222-2-2-2-200000000-2-2-2-20000000000000000-2-222000000000000-2-222-2-222000000000000000000000000000000000000
χ27222222222222222222222222-2-2-2222-22-2-2-2-2-2-2222222-2-222-2-200000000-2-2-2-20000000000000000000022-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ28222222222222222222222222-2-2-2222-22-2-2-2-2-2-2222222-2-222-2-200000000-2-2-2-200000000000000000000-2-2220000000000000000-2-2-2-222220000000000000000000000000000
χ29222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000222200000000000000000000000000000000000000000000000000000000000000002-2002-22-20000
χ30222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000022220000000000000000000000000000000000000000000000000000000000000000-2200-22-220000
χ3122222222−1−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−i3−1+i3222-2-2-22-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i3−1−i3−1+i31+i31−i3-2-2000000001+i31−i31+i31−i3000000000000000022-2-2000000000000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3000000000000000000000000000000000000
χ3222222222−1−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−i3−1+i3222-2-2-22-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i3−1−i3−1+i31+i31−i3-2-2000000001+i31−i31+i31−i30000000000000000-2-2220000000000001+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3000000000000000000000000000000000000
χ3322222222−1−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−i3−1+i3-2-2-2222-221+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i3−1−i3−1+i3-2-2000000001+i31−i31+i31−i30000000000000000000022-2-20000000000000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i30000000000000000000000000000
χ3422222222−1−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−i3−1+i3-2-2-2222-221+i31+i31+i31−i31−i31−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i3−1−i3−1+i3-2-2000000001+i31−i31+i31−i300000000000000000000-2-22200000000000000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i30000000000000000000000000000
χ3522222222−1−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−i3−1+i3-2-2-2-2-2-2-2-21+i31+i31+i31−i31−i31−i31+i31+i31+i31−i31−i31−i31+i31−i31+i31−i32200000000−1−i3−1+i3−1−i3−1+i300000000000000000000000000000000000000000000000000000000000000002-200−1−i31+i3−1+i31−i30000
χ3622222222−1−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−i3−1+i3-2-2-2-2-2-2-2-21+i31+i31+i31−i31−i31−i31+i31+i31+i31−i31−i31−i31+i31−i31+i31−i32200000000−1−i3−1+i3−1−i3−1+i30000000000000000000000000000000000000000000000000000000000000000-22001+i3−1−i31−i3−1+i30000
χ3722222222−1+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+i3−1−i3222-2-2-22-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i3−1+i3−1−i31−i31+i3-2-2000000001−i31+i31−i31+i3000000000000000022-2-2000000000000−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3000000000000000000000000000000000000
χ3822222222−1+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+i3−1−i3222-2-2-22-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i3−1+i3−1−i31−i31+i3-2-2000000001−i31+i31−i31+i30000000000000000-2-2220000000000001−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3000000000000000000000000000000000000
χ3922222222−1+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+i3−1−i3-2-2-2222-221−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i3−1+i3−1−i3-2-2000000001−i31+i31−i31+i30000000000000000000022-2-20000000000000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i30000000000000000000000000000
χ4022222222−1+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+i3−1−i3-2-2-2222-221−i31−i31−i31+i31+i31+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i3−1+i3−1−i3-2-2000000001−i31+i31−i31+i300000000000000000000-2-22200000000000000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i30000000000000000000000000000
χ4122222222−1+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+i3−1−i3-2-2-2-2-2-2-2-21−i31−i31−i31+i31+i31+i31−i31−i31−i31+i31+i31+i31−i31+i31−i31+i32200000000−1+i3−1−i3−1+i3−1−i300000000000000000000000000000000000000000000000000000000000000002-200−1+i31−i3−1−i31+i30000
χ4222222222−1+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+i3−1−i3-2-2-2-2-2-2-2-21−i31−i31−i31+i31+i31+i31−i31−i31−i31+i31+i31+i31−i31+i31−i31+i32200000000−1+i3−1−i3−1+i3−1−i30000000000000000000000000000000000000000000000000000000000000000-22001−i3−1+i31+i3−1−i30000
χ43222-2-2-2-22222222-2-2-2-2-2-2-2-22200022-20-200000022-222-200-2-2002222−2−2−2−200002222−2−2−2−22222−2−2−2−200002i−2i000000−i2−i2i2i2000000002i−2i2i−2i000000000000−i2−i2i2i2−i2−i2i2i2000000000000
χ44222-2-2-2-22222222-2-2-2-2-2-2-2-22200022-20-200000022-222-200-2-2002222−2−2−2−200002222−2−2−2−22222−2−2−2−20000−2i2i000000i2i2−i2−i200000000−2i2i−2i2i000000000000i2i2−i2−i2i2i2−i2−i2000000000000
χ45222-2-2-2-22222222-2-2-2-2-2-2-2-22200022-20-200000022-222-200-2-200−2−2−2−222220000−2−2−2−22222−2−2−2−2222200002i−2i000000i2i2−i2−i2000000002i−2i2i−2i000000000000i2i2−i2−i2i2i2−i2−i2000000000000
χ46222-2-2-2-22222222-2-2-2-2-2-2-2-22200022-20-200000022-222-200-2-200−2−2−2−222220000−2−2−2−22222−2−2−2−222220000−2i2i000000−i2−i2i2i200000000−2i2i−2i2i000000000000−i2−i2i2i2−i2−i2i2i2000000000000
χ47222-2-2-2-22−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i3−1−i3−1+i300022-20-2000000−1−i3−1−i31+i3−1+i3−1+i31−i3001+i31−i3002222−2−2−2−20000−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ2300002i−2i000000−i2−i2i2i2000000002ζ22−2ζ222ζ14−2ζ14000000000000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23000000000000
χ48222-2-2-2-22−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i3−1−i3−1+i300022-20-2000000−1−i3−1−i31+i3−1+i3−1+i31−i3001+i31−i3002222−2−2−2−20000−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ230000−2i2i000000i2i2−i2−i200000000−2ζ222ζ22−2ζ142ζ14000000000000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23000000000000
χ49222-2-2-2-22−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i3−1−i3−1+i300022-20-2000000−1−i3−1−i31+i3−1+i3−1+i31−i3001+i31−i300−2−2−2−222220000ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ2300002i−2i000000i2i2−i2−i2000000002ζ22−2ζ222ζ14−2ζ14000000000000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23000000000000
χ50222-2-2-2-22−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i3−1−i3−1+i300022-20-2000000−1−i3−1−i31+i3−1+i3−1+i31−i3001+i31−i300−2−2−2−222220000ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ230000−2i2i000000−i2−i2i2i200000000−2ζ222ζ22−2ζ142ζ14000000000000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23000000000000
χ51222-2-2-2-22−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i3−1+i3−1−i300022-20-2000000−1+i3−1+i31−i3−1−i3−1−i31+i3001−i31+i3002222−2−2−2−20000ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ1300002i−2i000000−i2−i2i2i2000000002ζ14−2ζ142ζ22−2ζ22000000000000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13000000000000
χ52222-2-2-2-22−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i3−1+i3−1−i300022-20-2000000−1+i3−1+i31−i3−1−i3−1−i31+i3001−i31+i3002222−2−2−2−20000ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ130000−2i2i000000i2i2−i2−i200000000−2ζ142ζ14−2ζ222ζ22000000000000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13000000000000
χ53222-2-2-2-22−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i3−1+i3−1−i300022-20-2000000−1+i3−1+i31−i3−1−i3−1−i31+i3001−i31+i300−2−2−2−222220000−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ1300002i−2i000000i2i2−i2−i2000000002ζ14−2ζ142ζ22−2ζ22000000000000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13000000000000
χ54222-2-2-2-22−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i3−1+i3−1−i300022-20-2000000−1+i3−1+i31−i3−1−i3−1−i31+i3001−i31+i300−2−2−2−222220000−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ130000−2i2i000000−i2−i2i2i200000000−2ζ142ζ14−2ζ222ζ22000000000000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13000000000000
χ5522-222-2-2-2222-22-2222-22-2-2-2-2-222-2000-2022-222-2000000-2-2000022−2−222−2−2000022−2−222−2−222−2−222−2−2002-2000022−2−20000002-2002-20000000022−2−222−2−200000000000000000000
χ5622-222-2-2-2222-22-2222-22-2-2-2-2-222-2000-2022-222-2000000-2-2000022−2−222−2−2000022−2−222−2−222−2−222−2−200-220000−2−222000000-2200-2200000000−2−222−2−22200000000000000000000
χ5722-222-2-2-2222-22-2222-22-2-2-2-2-222-2000-2022-222-2000000-2-20000−2−222−2−2220000−2−222−2−222−2−222−2−222002-20000−2−2220000002-2002-200000000−2−222−2−22200000000000000000000
χ5822-222-2-2-2222-22-2222-22-2-2-2-2-222-2000-2022-222-2000000-2-20000−2−222−2−2220000−2−222−2−222−2−222−2−22200-22000022−2−2000000-2200-220000000022−2−222−2−200000000000000000000
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χ1032-2-2-222-2222-2-2-2-2-2-22222-2-2220002-2-2020000002-2-22-2-20022002−2−22−222−200002−2−22−222−22−2−22−222−20000002-200002−2−220000000000002-22-2000000002−2−222−2−22000000000000
χ1042-2-2-222-2222-2-2-2-2-2-22222-2-2220002-2-2020000002-2-22-2-20022002−2−22−222−200002−2−22−222−22−2−22−222−2000000-220000−222−2000000000000-22-2200000000−222−2−222−2000000000000
χ1052-2-2-222-2222-2-2-2-2-2-22222-2-2220002-2-2020000002-2-22-2-2002200−222−22−2−220000−222−22−2−22−222−22−2−220000002-20000−222−20000000000002-22-200000000−222−2−222−2000000000000
χ1062-2-2-222-2222-2-2-2-2-2-22222-2-2220002-2-2020000002-2-22-2-2002200−222−22−2−220000−222−22−2−22−222−22−2−22000000-2200002−2−22000000000000-22-22000000002−2−222−2−22000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.