Finite Group Databasebeta

← Group #10693773

Character table — Group #10693773

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order122222224444444434444444466666661212121212121212888888888888888812121212121212122424242424242424242424242424242444444444888824242424242424242424242424242424444488888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111−i−iii
χ1111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii
χ1211111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−i−i−i−iiiii1111-1-1-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii
χ1411111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111iiii−i−i−i−i-1-1-1-11111ii−i−i
χ1511111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i
χ1611111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111iiii−i−i−i−i1111-1-1-1-1−i−iii
χ1711-1-111-1-1i−ii−ii−ii−i11-1ii−i−i1-111-1-11-1-1ii−i−iii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iζ7+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+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1811-1-111-1-1i−ii−ii−ii−i11-1ii−i−i1-111-1-11-1-1ii−i−iii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiζ7+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+ζ13-11−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-111−i−iii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ1911-1-111-1-1i−ii−ii−ii−i11-1ii−i−i1-111-1-11-1-1ii−i−iii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i−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−ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-111−i−iii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ2011-1-111-1-1i−ii−ii−ii−i11-1ii−i−i1-111-1-11-1-1ii−i−iii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iii−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−ζ13-11−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ2111-1-111-1-1i−ii−ii−ii−i11-1ii−i−i1-111-1-11-1-1ii−i−iii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i−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−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ2211-1-111-1-1i−ii−ii−ii−i11-1ii−i−i1-111-1-11-1-1ii−i−iii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−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−ζ13-11−iiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-111−i−iiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ2311-1-111-1-1i−ii−ii−ii−i11-1ii−i−i1-111-1-11-1-1ii−i−iii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iζ7+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+ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-111−i−iiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ2411-1-111-1-1i−ii−ii−ii−i11-1ii−i−i1-111-1-11-1-1ii−i−iii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−iiiζ7+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+ζ13-11−iiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ2511-1-111-1-1−ii−ii−ii−ii11-1−i−iii1-111-1-11-1-1−i−iii−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−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−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ2611-1-111-1-1−ii−ii−ii−ii11-1−i−iii1-111-1-11-1-1−i−iii−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−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−ζ23-11i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-111ii−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ2711-1-111-1-1−ii−ii−ii−ii11-1−i−iii1-111-1-11-1-1−i−iii−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i11-1-1−i−iiiζ5+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+ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-111ii−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ2811-1-111-1-1−ii−ii−ii−ii11-1−i−iii1-111-1-11-1-1−i−iii−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−iζ5+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+ζ23-11i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ2911-1-111-1-1−ii−ii−ii−ii11-1−i−iii1-111-1-11-1-1−i−iii−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iiiζ5+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+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ3011-1-111-1-1−ii−ii−ii−ii11-1−i−iii1-111-1-11-1-1−i−iii−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iζ5+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+ζ23-11i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-111ii−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ3111-1-111-1-1−ii−ii−ii−ii11-1−i−iii1-111-1-11-1-1−i−iii−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−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−ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-111ii−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ3211-1-111-1-1−ii−ii−ii−ii11-1−i−iii1-111-1-11-1-1−i−iii−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i−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−ζ23-11i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ3322222222222222222-2-2-2-2-2-2-2-22222222222222220000000000000000-2-2-2-2-2-2-2-200000000000000002222222200000000000000000000-2-2-2-200000000000000000000
χ3422222222222222222-2-2-2-2-2-2-2-22222222222222220000000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000000000222200000000000000000000
χ352222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ362222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ372222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ382222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
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χ4022222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-20000000000000000-2-22222-2-20000000000000000-2-2-2-222220000000000000000000022-2-200000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1111111112i2i2i2i−2i−2i−2i−2i2222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1111111112i2i2i2i−2i−2i−2i−2i-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-100000000−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111−2i−2i−2i−2i2i2i2i2i-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1000000002i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ452222-2-2-2-22222-2-2-2-22222-22-2-2-2-2-2-2-22222-22-22-22-22-22-22-22-200000000222-22-2-2-200000000000000000000000000002-22-22-22-200000000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-22222-22-2-2-2-2-2-2-22222-22-22-22-2-22-22-22-2200000000222-22-2-2-20000000000000000000000000000-22-22-22-2200000000000000000000000000000000
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χ492222-2-2-2-22222-2-2-2-2-1222-22-2-2-21111-1-1-1-11-11-11-112-22-22-22-200000000-1-1-11-111133−3−333−3−333−3−333−3−3000000000000-11-11-11-113−33−33−33−3000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.