Finite Group Databasebeta

← Group #72222621

Character table — Group #72222621

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222244444444444444444444444444444444888888888888888888881616161616161616161616161616161624242424242424242424242424242424242424242424242424242424242424243636363636363636484848484848484872727272
order122233444444666666366688881212121212121212121212121212121224242424242424242244121212122424242424242424242424246666666612121212121212122244888816161616161616164848484848484848484848484848484888888888661212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i11-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii11-1-1−i−iii−i−iii
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii-1-111ii−i−i−i−iii
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i-1-111−i−iiiii−i−i
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1ii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i11-1-1ii−i−i−i−iii
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii11-1-1−i−iiiii−i−i
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111ii−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii-1-111ii−i−iii−i−i
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111−i−iii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i-1-111−i−iii−i−iii
χ1711-1-1111-1i−ii−i1-11-1-1-111-1-11-1i−iii−i−ii−iii−i−i11-1-1i−i11-1-1ii−i−i1-1i−ii−i1-11-1i−i11-1-1ii−i−i1-11-111-1-1ii−i−iii−i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1811-1-1111-1i−ii−i1-11-1-1-111-1-11-1i−iii−i−ii−iii−i−i11-1-1i−i11-1-1ii−i−i1-1i−ii−i1-11-1i−i11-1-1ii−i−i1-11-111-1-1ii−i−iii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ1911-1-1111-1i−ii−i1-11-1-1-111-1-11-1i−iii−i−ii−iii−i−i11-1-1i−i11-1-1ii−i−i1-1i−ii−i1-11-1i−i11-1-1ii−i−i1-11-111-1-1ii−i−iii−i−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ2011-1-1111-1i−ii−i1-11-1-1-111-1-11-1i−iii−i−ii−iii−i−i11-1-1i−i11-1-1ii−i−i1-1i−ii−i1-11-1i−i11-1-1ii−i−i1-11-111-1-1ii−i−iii−i−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ2111-1-1111-1i−ii−i1-11-1-1-111-1-11-1i−iii−i−ii−iii−i−i11-1-1i−i11-1-1ii−i−i-11−iii−i1-11-1i−i11-1-1ii−i−i-11-11-1-111−i−iii−i−iii1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ2211-1-1111-1i−ii−i1-11-1-1-111-1-11-1i−iii−i−ii−iii−i−i11-1-1i−i11-1-1ii−i−i-11−iii−i1-11-1i−i11-1-1ii−i−i-11-11-1-111−i−iii−i−iii1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ2311-1-1111-1i−ii−i1-11-1-1-111-1-11-1i−iii−i−ii−iii−i−i11-1-1i−i11-1-1ii−i−i-11−iii−i1-11-1i−i11-1-1ii−i−i-11-11-1-111−i−iii−i−iii-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ2411-1-1111-1i−ii−i1-11-1-1-111-1-11-1i−iii−i−ii−iii−i−i11-1-1i−i11-1-1ii−i−i-11−iii−i1-11-1i−i11-1-1ii−i−i-11-11-1-111−i−iii−i−iii-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ2511-1-1111-1−ii−ii1-11-1-1-111-1-11-1−ii−i−iii−ii−i−iii11-1-1−ii11-1-1−i−iii1-1−ii−ii1-11-1−ii11-1-1−i−iii1-11-111-1-1−i−iii−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ2611-1-1111-1−ii−ii1-11-1-1-111-1-11-1−ii−i−iii−ii−i−iii11-1-1−ii11-1-1−i−iii1-1−ii−ii1-11-1−ii11-1-1−i−iii1-11-111-1-1−i−iii−i−iii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ2711-1-1111-1−ii−ii1-11-1-1-111-1-11-1−ii−i−iii−ii−i−iii11-1-1−ii11-1-1−i−iii1-1−ii−ii1-11-1−ii11-1-1−i−iii1-11-111-1-1−i−iii−i−iii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ2811-1-1111-1−ii−ii1-11-1-1-111-1-11-1−ii−i−iii−ii−i−iii11-1-1−ii11-1-1−i−iii1-1−ii−ii1-11-1−ii11-1-1−i−iii1-11-111-1-1−i−iii−i−iii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ2911-1-1111-1−ii−ii1-11-1-1-111-1-11-1−ii−i−iii−ii−i−iii11-1-1−ii11-1-1−i−iii-11i−i−ii1-11-1−ii11-1-1−i−iii-11-11-1-111ii−i−iii−i−i1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ3011-1-1111-1−ii−ii1-11-1-1-111-1-11-1−ii−i−iii−ii−i−iii11-1-1−ii11-1-1−i−iii-11i−i−ii1-11-1−ii11-1-1−i−iii-11-11-1-111ii−i−iii−i−i1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ3111-1-1111-1−ii−ii1-11-1-1-111-1-11-1−ii−i−iii−ii−i−iii11-1-1−ii11-1-1−i−iii-11i−i−ii1-11-1−ii11-1-1−i−iii-11-11-1-111ii−i−iii−i−i-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ3211-1-1111-1−ii−ii1-11-1-1-111-1-11-1−ii−i−iii−ii−i−iii11-1-1−ii11-1-1−i−iii-11i−i−ii1-11-1−ii11-1-1−i−iii-11-11-1-111ii−i−iii−i−i-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ332222222222222222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002222-2-2-2-2000000000000
χ342222222222222222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-22222000000000000
χ3522222222-2-2-2-22222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222220000-2-222-2-222-2-2-2-222220000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ3622222222-2-2-2-22222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222220000-2-222-2-222-2-2-2-22222000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ3722222-122222222-12-1-1-1-1-1-122222-12-1-1-1-1-1-1-12-12-122-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-12-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ3822222-122222222-12-1-1-1-1-1-122222-12-1-1-1-1-1-1-12-12-122-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-12-1-1-1-1-1-2-2-2-20000-2-2-2-20000111111110000000000000000111100000000
χ3922222-122222222-12-1-1-1-1-1-122222-12-1-1-1-1-1-1-12-12-122-1-1-1-12222-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2111111-21-21111122220000-2-2-2-20000111111110000000000000000-1-1-1-100000000
χ4022222-122222222-12-1-1-1-1-1-122222-12-1-1-1-1-1-1-12-12-122-1-1-1-12222-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2111111-21-211111-2-2-2-2000022220000-1-1-1-1-1-1-1-10000000000000000111100000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.