Finite Group Databasebeta

← Group #13157192

Character table — Group #13157192

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111112222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444499999999181818181818181818181818181818181818181854545454545454545454545454545454
order12224444366688881212121224242424242424243333336666666666666666661212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424248888888844441212121212121212242424242424242416161616161616161616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ101111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ111111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-11111−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ121111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-11111−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ131111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111-1-1-1-11111iiii−i−i−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ141111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111-1-1-1-11111iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ151111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ161111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1711-1-111-1-111-1-11-11-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13
χ1811-1-111-1-111-1-11-11-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13
χ1911-1-111-1-111-1-11-11-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23
χ2011-1-111-1-111-1-11-11-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iiiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23
χ2111-1-111-1-111-1-1-11-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−iii−i−i−ii−ii−i−iii−i−iiiii−i−iii−i−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13
χ2211-1-111-1-111-1-1-11-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−iii−i−i−ii−ii−i−iii−i−iiiii−i−iii−i−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13
χ2311-1-111-1-111-1-1-11-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii−i−iiii−ii−iii−i−iii−i−i−i−iii−i−iii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23
χ2411-1-111-1-111-1-1-11-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii−i−iiii−ii−iii−i−iii−i−i−i−iii−i−iiiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23
χ2511-1-1-1-11111-1-1i−i−ii-1-111ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1-1-111−iii−i−i−iiiii−i−i11-1-1-1-1111-1-11−iii−i1-1-11i−i−ii
χ2611-1-1-1-11111-1-1i−i−ii-1-111ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1-1-111−iii−i−i−iiiii−i−i11-1-1-1-111-111-1i−i−ii-111-1−iii−i
χ2711-1-1-1-11111-1-1i−i−ii-1-111ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-11111-1-1i−i−iiii−i−i−i−iii-1-11111-1-1i−i−ii1-1-11−iii−i1-1-11
χ2811-1-1-1-11111-1-1i−i−ii-1-111ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-11111-1-1i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i-111-1i−i−ii-111-1
χ2911-1-1-1-11111-1-1−iii−i-1-111−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1-111i−i−iiii−i−i−i−iii11-1-1-1-1111-1-11i−i−ii1-1-11−iii−i
χ3011-1-1-1-11111-1-1−iii−i-1-111−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1-111i−i−iiii−i−i−i−iii11-1-1-1-111-111-1−iii−i-111-1i−i−ii
χ3111-1-1-1-11111-1-1−iii−i-1-111−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-11111-1-1−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii-111-1−iii−i-111-1
χ3211-1-1-1-11111-1-1−iii−i-1-111−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-11111-1-1−iii−i−i−iiiii−i−i-1-11111-1-1−iii−i1-1-11i−i−ii1-1-11
χ3322222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ3422222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000
χ3522222222-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-211111111-2-2-2-21111111122222222-2-2-2-211111111-1-1-1-1-1-1-1-10000000000000000
χ3622222222-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1111111110000000000000000
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χ1574-4-44−4i4i4i−4i4-4-440000−4i4i4i−4i000000001-211-2-2-121-2-1-12211-2-2-12-1-122i−2i−i2iii−2i−2i−i−i2i2i−i2ii−2i−i−i2i2iii−2i−2i−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ230000000000000000000000000000000000000000000000
χ1584-4-44−4i4i4i−4i4-4-440000−4i4i4i−4i000000001-211-2-2-121-2-1-12211-2-2-12-1-122i−2i−i2iii−2i−2i−i−i2i2i−i2ii−2i−i−i2i2iii−2i−2i3ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ230000000000000000000000000000000000000000000000
χ1594-4-44−4i4i4i−4i4-4-440000−4i4i4i−4i00000000-21-2-2112-1-2122-1-1-2-2112-122-1-1−2ii2i−i−2i−2iii2i2i−i−i2i−i−2ii2i2i−i−i−2i−2iii00−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ2300000000000000000000000000000000000000000000
χ1604-4-44−4i4i4i−4i4-4-440000−4i4i4i−4i00000000-21-2-2112-1-2122-1-1-2-2112-122-1-1−2ii2i−i−2i−2iii2i2i−i−i2i−i−2ii2i2i−i−i−2i−2iii003ζ5+3ζ13−3ζ5−3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ1300−3ζ5−3ζ133ζ5+3ζ13003ζ5+3ζ13−3ζ5−3ζ1300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300−3ζ7−3ζ233ζ7+3ζ23003ζ7+3ζ23−3ζ7−3ζ2300000000000000000000000000000000000000000000
χ1614-4-44−4i4i4i−4i-222-200002i−2i−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ231-2−1−3i32−1+3i3211-121-21+3i321−3i32-1-1−1−3i32−1+3i3211-121+3i321−3i32-1-1i−2i−i2i−ζ14+2ζ222ζ14−ζ22iiζ14−2ζ22−2ζ14+ζ22−i−i−i2ii−2iζ14−2ζ22−2ζ14+ζ22−i−i−ζ14+2ζ222ζ14−ζ22ii3ζ5+3ζ13−3ζ5−3ζ1300−ζ5−2ζ132ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5+2ζ13−2ζ5−ζ13ζ5−ζ13ζ5−ζ13−3ζ5−3ζ133ζ5+3ζ1300ζ5+2ζ13−2ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5−2ζ132ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−3ζ7−3ζ233ζ7+3ζ2300−2ζ7−ζ23ζ7+2ζ23ζ7−ζ23ζ7−ζ232ζ7+ζ23−ζ7−2ζ23−ζ7+ζ23−ζ7+ζ233ζ7+3ζ23−3ζ7−3ζ23002ζ7+ζ23−ζ7−2ζ23−ζ7+ζ23−ζ7+ζ23−2ζ7−ζ23ζ7+2ζ23ζ7−ζ23ζ7−ζ2300000000000000000000000000000000000000000000
χ1624-4-44−4i4i4i−4i-222-200002i−2i−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ231-2−1+3i32−1−3i3211-121-21−3i321+3i32-1-1−1+3i32−1−3i3211-121−3i321+3i32-1-1i−2i−i2i2ζ14−ζ22−ζ14+2ζ22ii−2ζ14+ζ22ζ14−2ζ22−i−i−i2ii−2i−2ζ14+ζ22ζ14−2ζ22−i−i2ζ14−ζ22−ζ14+2ζ22ii−3ζ5−3ζ133ζ5+3ζ13002ζ5+ζ13−ζ5−2ζ13−ζ5+ζ13−ζ5+ζ13−2ζ5−ζ13ζ5+2ζ13ζ5−ζ13ζ5−ζ133ζ5+3ζ13−3ζ5−3ζ1300−2ζ5−ζ13ζ5+2ζ13ζ5−ζ13ζ5−ζ132ζ5+ζ13−ζ5−2ζ13−ζ5+ζ13−ζ5+ζ133ζ7+3ζ23−3ζ7−3ζ2300ζ7+2ζ23−2ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7−2ζ232ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−3ζ7−3ζ233ζ7+3ζ2300−ζ7−2ζ232ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7+2ζ23−2ζ7−ζ23ζ7−ζ23ζ7−ζ2300000000000000000000000000000000000000000000
χ1634-4-44−4i4i4i−4i-222-200002i−2i−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ23-2111−1−3i32−1+3i322-1-21-1-11+3i321−3i3211−1−3i32−1+3i322-1-1-11+3i321−3i32−2ii2i−iii−ζ14+2ζ222ζ14−ζ22−i−iζ14−2ζ22−2ζ14+ζ222i−i−2ii−i−iζ14−2ζ22−2ζ14+ζ22ii−ζ14+2ζ222ζ14−ζ22003ζ5+3ζ13−3ζ5−3ζ13−ζ5+ζ13−ζ5+ζ13−ζ5−2ζ132ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5+2ζ13−2ζ5−ζ1300−3ζ5−3ζ133ζ5+3ζ13ζ5−ζ13ζ5−ζ13ζ5+2ζ13−2ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5−2ζ132ζ5+ζ1300−3ζ7−3ζ233ζ7+3ζ23ζ7−ζ23ζ7−ζ23−2ζ7−ζ23ζ7+2ζ23−ζ7+ζ23−ζ7+ζ232ζ7+ζ23−ζ7−2ζ23003ζ7+3ζ23−3ζ7−3ζ23−ζ7+ζ23−ζ7+ζ232ζ7+ζ23−ζ7−2ζ23ζ7−ζ23ζ7−ζ23−2ζ7−ζ23ζ7+2ζ2300000000000000000000000000000000000000000000
χ1644-4-44−4i4i4i−4i-222-200002i−2i−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ23-2111−1+3i32−1−3i322-1-21-1-11−3i321+3i3211−1+3i32−1−3i322-1-1-11−3i321+3i32−2ii2i−iii2ζ14−ζ22−ζ14+2ζ22−i−i−2ζ14+ζ22ζ14−2ζ222i−i−2ii−i−i−2ζ14+ζ22ζ14−2ζ22ii2ζ14−ζ22−ζ14+2ζ2200−3ζ5−3ζ133ζ5+3ζ13−ζ5+ζ13−ζ5+ζ132ζ5+ζ13−ζ5−2ζ13ζ5−ζ13ζ5−ζ13−2ζ5−ζ13ζ5+2ζ13003ζ5+3ζ13−3ζ5−3ζ13ζ5−ζ13ζ5−ζ13−2ζ5−ζ13ζ5+2ζ13−ζ5+ζ13−ζ5+ζ132ζ5+ζ13−ζ5−2ζ13003ζ7+3ζ23−3ζ7−3ζ23ζ7−ζ23ζ7−ζ23ζ7+2ζ23−2ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7−2ζ232ζ7+ζ2300−3ζ7−3ζ233ζ7+3ζ23−ζ7+ζ23−ζ7+ζ23−ζ7−2ζ232ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7+2ζ23−2ζ7−ζ2300000000000000000000000000000000000000000000
χ1654-4-44−4i4i4i−4i-222-200002i−2i−2i2i−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ231-2−1−3i32−1+3i3211-121-21+3i321−3i32-1-1−1−3i32−1+3i3211-121+3i321−3i32-1-1i−2i−i2i−ζ14+2ζ222ζ14−ζ22iiζ14−2ζ22−2ζ14+ζ22−i−i−i2ii−2iζ14−2ζ22−2ζ14+ζ22−i−i−ζ14+2ζ222ζ14−ζ22ii−3ζ5−3ζ133ζ5+3ζ1300ζ5+2ζ13−2ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5−2ζ132ζ5+ζ13−ζ5+ζ13−ζ5+ζ133ζ5+3ζ13−3ζ5−3ζ1300−ζ5−2ζ132ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5+2ζ13−2ζ5−ζ13ζ5−ζ13ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ23002ζ7+ζ23−ζ7−2ζ23−ζ7+ζ23−ζ7+ζ23−2ζ7−ζ23ζ7+2ζ23ζ7−ζ23ζ7−ζ23−3ζ7−3ζ233ζ7+3ζ2300−2ζ7−ζ23ζ7+2ζ23ζ7−ζ23ζ7−ζ232ζ7+ζ23−ζ7−2ζ23−ζ7+ζ23−ζ7+ζ2300000000000000000000000000000000000000000000
χ1664-4-44−4i4i4i−4i-222-200002i−2i−2i2i−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ231-2−1+3i32−1−3i3211-121-21−3i321+3i32-1-1−1+3i32−1−3i3211-121−3i321+3i32-1-1i−2i−i2i2ζ14−ζ22−ζ14+2ζ22ii−2ζ14+ζ22ζ14−2ζ22−i−i−i2ii−2i−2ζ14+ζ22ζ14−2ζ22−i−i2ζ14−ζ22−ζ14+2ζ22ii3ζ5+3ζ13−3ζ5−3ζ1300−2ζ5−ζ13ζ5+2ζ13ζ5−ζ13ζ5−ζ132ζ5+ζ13−ζ5−2ζ13−ζ5+ζ13−ζ5+ζ13−3ζ5−3ζ133ζ5+3ζ13002ζ5+ζ13−ζ5−2ζ13−ζ5+ζ13−ζ5+ζ13−2ζ5−ζ13ζ5+2ζ13ζ5−ζ13ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ2300−ζ7−2ζ232ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7+2ζ23−2ζ7−ζ23ζ7−ζ23ζ7−ζ233ζ7+3ζ23−3ζ7−3ζ2300ζ7+2ζ23−2ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7−2ζ232ζ7+ζ23−ζ7+ζ23−ζ7+ζ2300000000000000000000000000000000000000000000
χ1674-4-44−4i4i4i−4i-222-200002i−2i−2i2i−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ23-2111−1−3i32−1+3i322-1-21-1-11+3i321−3i3211−1−3i32−1+3i322-1-1-11+3i321−3i32−2ii2i−iii−ζ14+2ζ222ζ14−ζ22−i−iζ14−2ζ22−2ζ14+ζ222i−i−2ii−i−iζ14−2ζ22−2ζ14+ζ22ii−ζ14+2ζ222ζ14−ζ2200−3ζ5−3ζ133ζ5+3ζ13ζ5−ζ13ζ5−ζ13ζ5+2ζ13−2ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5−2ζ132ζ5+ζ13003ζ5+3ζ13−3ζ5−3ζ13−ζ5+ζ13−ζ5+ζ13−ζ5−2ζ132ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5+2ζ13−2ζ5−ζ13003ζ7+3ζ23−3ζ7−3ζ23−ζ7+ζ23−ζ7+ζ232ζ7+ζ23−ζ7−2ζ23ζ7−ζ23ζ7−ζ23−2ζ7−ζ23ζ7+2ζ2300−3ζ7−3ζ233ζ7+3ζ23ζ7−ζ23ζ7−ζ23−2ζ7−ζ23ζ7+2ζ23−ζ7+ζ23−ζ7+ζ232ζ7+ζ23−ζ7−2ζ2300000000000000000000000000000000000000000000
χ1684-4-44−4i4i4i−4i-222-200002i−2i−2i2i−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ23-2111−1+3i32−1−3i322-1-21-1-11−3i321+3i3211−1+3i32−1−3i322-1-1-11−3i321+3i32−2ii2i−iii2ζ14−ζ22−ζ14+2ζ22−i−i−2ζ14+ζ22ζ14−2ζ222i−i−2ii−i−i−2ζ14+ζ22ζ14−2ζ22ii2ζ14−ζ22−ζ14+2ζ22003ζ5+3ζ13−3ζ5−3ζ13ζ5−ζ13ζ5−ζ13−2ζ5−ζ13ζ5+2ζ13−ζ5+ζ13−ζ5+ζ132ζ5+ζ13−ζ5−2ζ1300−3ζ5−3ζ133ζ5+3ζ13−ζ5+ζ13−ζ5+ζ132ζ5+ζ13−ζ5−2ζ13ζ5−ζ13ζ5−ζ13−2ζ5−ζ13ζ5+2ζ1300−3ζ7−3ζ233ζ7+3ζ23−ζ7+ζ23−ζ7+ζ23−ζ7−2ζ232ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7+2ζ23−2ζ7−ζ23003ζ7+3ζ23−3ζ7−3ζ23ζ7−ζ23ζ7−ζ23ζ7+2ζ23−2ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7−2ζ232ζ7+ζ2300000000000000000000000000000000000000000000

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