Finite Group Databasebeta

← Group #10693767

Character table — Group #10693767

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111111111112222222222222222222222222222222244444444444444444444444444448888888888888888888888881212121212121212121212121212121212121212121212121212121212121212
order122222224444444434444444444444444666666612121212121212124444121212121212121212121212121212121212121212121212888888882424242424242424242424242424242488888888888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111
χ1411111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1
χ1511111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1
χ1611111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-1i−ii−iii−i−i11-1ii−i−i11-1-1ii−i−i1-1111-1-1-1-1iii−i−i−ii−i1-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1ii−i−i11-1-1ii−i−i
χ181111-1-1-1-1i−ii−iii−i−i11-1ii−i−i11-1-1ii−i−i1-1111-1-1-1-1iii−i−i−ii−i1-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-111−i−iii-1-111−i−iii
χ191111-1-1-1-1i−ii−iii−i−i11-1ii−i−i11-1-1ii−i−i1-1111-1-1-1-1iii−i−i−ii−i1-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-111−i−iii-1-111−i−iii
χ201111-1-1-1-1i−ii−iii−i−i11-1ii−i−i11-1-1ii−i−i1-1111-1-1-1-1iii−i−i−ii−i1-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1ii−i−i11-1-1ii−i−i
χ211111-1-1-1-1i−ii−iii−i−i11-1ii−i−i-1-111−i−iii1-1111-1-1-1-1iii−i−i−ii−i-11−ii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1ii−i−i-1-111−i−iii
χ221111-1-1-1-1i−ii−iii−i−i11-1ii−i−i-1-111−i−iii1-1111-1-1-1-1iii−i−i−ii−i-11−ii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-111−i−iii11-1-1ii−i−i
χ231111-1-1-1-1i−ii−iii−i−i11-1ii−i−i-1-111−i−iii1-1111-1-1-1-1iii−i−i−ii−i-11−ii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-111−i−iii11-1-1ii−i−i
χ241111-1-1-1-1i−ii−iii−i−i11-1ii−i−i-1-111−i−iii1-1111-1-1-1-1iii−i−i−ii−i-11−ii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1ii−i−i-1-111−i−iii
χ251111-1-1-1-1−ii−ii−i−iii11-1−i−iii11-1-1−i−iii1-1111-1-1-1-1−i−i−iiii−ii1-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−i−iii11-1-1−i−iii
χ261111-1-1-1-1−ii−ii−i−iii11-1−i−iii11-1-1−i−iii1-1111-1-1-1-1−i−i−iiii−ii1-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-111ii−i−i-1-111ii−i−i
χ271111-1-1-1-1−ii−ii−i−iii11-1−i−iii11-1-1−i−iii1-1111-1-1-1-1−i−i−iiii−ii1-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-111ii−i−i-1-111ii−i−i
χ281111-1-1-1-1−ii−ii−i−iii11-1−i−iii11-1-1−i−iii1-1111-1-1-1-1−i−i−iiii−ii1-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−i−iii11-1-1−i−iii
χ291111-1-1-1-1−ii−ii−i−iii11-1−i−iii-1-111ii−i−i1-1111-1-1-1-1−i−i−iiii−ii-11i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−i−iii-1-111ii−i−i
χ301111-1-1-1-1−ii−ii−i−iii11-1−i−iii-1-111ii−i−i1-1111-1-1-1-1−i−i−iiii−ii-11i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-111ii−i−i11-1-1−i−iii
χ311111-1-1-1-1−ii−ii−i−iii11-1−i−iii-1-111ii−i−i1-1111-1-1-1-1−i−i−iiii−ii-11i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-111ii−i−i11-1-1−i−iii
χ321111-1-1-1-1−ii−ii−i−iii11-1−i−iii-1-111ii−i−i1-1111-1-1-1-1−i−i−iiii−ii-11i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−i−iii-1-111ii−i−i
χ3322222222222222222-2-2-2-2-2-222222222-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ3422222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ352222222222222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ362222222222222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000
χ372222222222222222-1222222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ382222222222222222-1222222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ392222222222222222-1-2-2-2-2-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-111-1-111-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ402222222222222222-1-2-2-2-2-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-111-1-111-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ412222222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111111111-1-111-1-111-1-111-1-100000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ422222222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111111111-1-111-1-111-1-111-1-100000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-22-2-222222222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-222-2-2-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-22-2-22222-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-2-122-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-2-122-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-2-122-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-111111111-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-2-122-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-111111111-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000000000
χ4922222222-2-2-2-2-2-2-2-2-1-2-222222222-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-1-1-111-1-11111-1-111-1-1000000003−33−3−33−333−33−3−33−3300000000000000000000000000000000
χ5022222222-2-2-2-2-2-2-2-2-1-2-222222222-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-1-1-111-1-11111-1-111-1-100000000−33−333−33−3−33−333−33−300000000000000000000000000000000
χ5122222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-2-22222-2-2-1-1-1-1-1-1-11111111122-2-21111-1-1-1-111-1-111-1-1-1-111-1-111000000003−33−3−33−33−33−333−33−300000000000000000000000000000000
χ5222222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-2-22222-2-2-1-1-1-1-1-1-11111111122-2-21111-1-1-1-111-1-111-1-1-1-111-1-11100000000−33−333−33−33−33−3−33−3300000000000000000000000000000000
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χ552222-2-2-2-22i−2i2i−2i2i2i−2i−2i-12-22i2i−2i−2i22-2-22i2i−2i−2i2-2-1-1-11111−i−i−iiii−ii2-22i−2i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000000000000000000000000000
χ562222-2-2-2-22i−2i2i−2i2i2i−2i−2i-12-22i2i−2i−2i22-2-22i2i−2i−2i2-2-1-1-11111−i−i−iiii−ii2-22i−2i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000000000000000000000000000
χ572222-2-2-2-22i−2i2i−2i2i2i−2i−2i-12-22i2i−2i−2i-2-222−2i−2i2i2i2-2-1-1-11111−i−i−iiii−ii-22−2i2i-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000000000000000000000000000
χ582222-2-2-2-22i−2i2i−2i2i2i−2i−2i-12-22i2i−2i−2i-2-222−2i−2i2i2i2-2-1-1-11111−i−i−iiii−ii-22−2i2i-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.