Finite Group Databasebeta

← Group #13138727

Character table — Group #13138727

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111222222222222444466666666666666666666666699999999121212121212121212121212121212121212121218181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order1244888823468812122424242461224243366661212121212122424242424242424242424241616161616161616366661212121212242424242424242424242244888816161616161616161616161648484848484848484848484848484848661212242424244848484848484848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-11-11-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111111111111111111-1-1-11-1-1-111-1-11111-1-1-1-11-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-1
χ611111111-11-11-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111111111111111111-1-1-11-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111
χ711111111-11-11-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-111-1-11111-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-11111
χ811111111-11-11-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-111-1-11111-1-1-1-1-11-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1111111-1-1-1-1
χ91111-1-1-1-11111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-11111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ111111-1-1-1-11111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii
χ121111-1-1-1-11111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i
χ131111-1-1-1-1-11-111111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-11-1-1-11111-1-1-1-111111-11-1-1-111−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-11-1-1-111ii−i−i−i−iii
χ141111-1-1-1-1-11-111111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-11-1-1-11111-1-1-1-11111-11-1111-1-1−i−iii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-11-1111-1-1−i−iiiii−i−i
χ151111-1-1-1-1-11-111111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-11-1-1-11111-1-1-1-111111-11-1-1-111ii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-11-1-1-111−i−iiiii−i−i
χ161111-1-1-1-1-11-111111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-11-1-1-11111-1-1-1-11111-11-1111-1-1ii−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-11-1111-1-1ii−i−i−i−iii
χ1711-1-1ii−i−i11-11i−i-1-1ii−i−i1-1i−i111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611111-1-1-1-1-1i−iii−i−iii−i−i1-1-11i−ii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261-1-11i−ii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1811-1-1ii−i−i11-11i−i-1-1ii−i−i1-1i−i111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611111-1-1-1-1-1i−iii−i−iii−i−i-111-1−ii−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-111-1−ii−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1911-1-1ii−i−i11-11i−i-1-1ii−i−i1-1i−i111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611111-1-1-1-1-1i−iii−i−iii−i−i1-1-11i−ii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261-1-11i−ii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ2011-1-1ii−i−i11-11i−i-1-1ii−i−i1-1i−i111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611111-1-1-1-1-1i−iii−i−iii−i−i-111-1−ii−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-111-1−ii−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ2111-1-1ii−i−i-1111−ii-1-1ii−i−i-11−ii11-1-11111-1-1-1-1−i−iiiiiii−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261-1-1-11111-1-1−iiii−i−i−i−iii11-1-1i−i−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-1i−i−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ2211-1-1ii−i−i-1111−ii-1-1ii−i−i-11−ii11-1-11111-1-1-1-1−i−iiiiiii−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261-1-1-11111-1-1−iiii−i−i−i−iii-1-111−iii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-1-111−iii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ2311-1-1ii−i−i-1111−ii-1-1ii−i−i-11−ii11-1-11111-1-1-1-1−i−iiiiiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261-1-1-11111-1-1−iiii−i−i−i−iii11-1-1i−i−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-1i−i−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ2411-1-1ii−i−i-1111−ii-1-1ii−i−i-11−ii11-1-11111-1-1-1-1−i−iiiiiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261-1-1-11111-1-1−iiii−i−i−i−iii-1-111−iii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-1-111−iii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ2511-1-1−i−iii11-11−ii-1-1−i−iii1-1−ii111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611111-1-1-1-1-1−ii−i−iii−i−iii1-1-11−ii−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461-1-11−ii−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2611-1-1−i−iii11-11−ii-1-1−i−iii1-1−ii111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611111-1-1-1-1-1−ii−i−iii−i−iii-111-1i−ii−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-111-1i−ii−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ2711-1-1−i−iii11-11−ii-1-1−i−iii1-1−ii111111-1-1-1-1-1-1−i−iii−i−i−i−iiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611111-1-1-1-1-1−ii−i−iii−i−iii1-1-11−ii−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461-1-11−ii−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ2811-1-1−i−iii11-11−ii-1-1−i−iii1-1−ii111111-1-1-1-1-1-1−i−iii−i−i−i−iiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611111-1-1-1-1-1−ii−i−iii−i−iii-111-1i−ii−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-111-1i−ii−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2911-1-1−i−iii-1111i−i-1-1−i−iii-11i−i11-1-11111-1-1-1-1ii−i−i−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461-1-1-11111-1-1i−i−i−iiiii−i−i11-1-1−iii−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-1−iii−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ3011-1-1−i−iii-1111i−i-1-1−i−iii-11i−i11-1-11111-1-1-1-1ii−i−i−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461-1-1-11111-1-1i−i−i−iiiii−i−i-1-111i−i−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-1-111i−i−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ3111-1-1−i−iii-1111i−i-1-1−i−iii-11i−i11-1-11111-1-1-1-1ii−i−i−i−i−i−iiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461-1-1-11111-1-1i−i−i−iiiii−i−i11-1-1−iii−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-1−iii−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ3211-1-1−i−iii-1111i−i-1-1−i−iii-11i−i11-1-11111-1-1-1-1ii−i−i−i−i−i−iiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461-1-1-11111-1-1i−i−i−iiiii−i−i-1-111i−i−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-1-111i−i−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ332222222222222222222222222-1222-12222-1-1222222-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222000000000000000000000000-1-1-1-1-1-1-1-1
χ342222222222222222222222222-1222-12222-1-1222222-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-200000000000000000000000011111111
χ35222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-12222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ36222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2-2-20000000011111111111111110000000000000000
χ3722222222-22-22-2-2222222-2-2-2-22-1-2-22-1-2-222-1-1-2-2-2-222-1-122-1-100000000-1111-1111-1-111-1-1-1-111110000000000002222-2-2-2-2000000000000000000000000-1-1-1-11111
χ3822222222-22-22-2-2222222-2-2-2-22-1-2-22-1-2-222-1-1-2-2-2-222-1-122-1-100000000-1111-1111-1-111-1-1-1-11111000000000000-2-2-2-222220000000000000000000000001111-1-1-1-1
χ3922222222-22-22-2-2222222-2-2-2-2-1211-1211-1-1221111-1-122-1-12222222222-1-211-1-211-1-1-2-2-1-1-1-1111100000000-2-2-2-200000000-1-1-1-1-1-1-1-1111111110000000000000000
χ4022222222-22-22-2-2222222-2-2-2-2-1211-1211-1-1221111-1-122-1-122-2-2-2-2-2-2-2-2-1-211-1-211-1-1-2-2-1-1-1-111110000000022220000000011111111-1-1-1-1-1-1-1-10000000000000000
χ412222-2-2-2-22222-2-222-2-2-2-222-2-22-1222-12222-1-1-2-2-2-2-2-211-2-21100000000-1-1-1-1-1-1-1-1-1-111111111110000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−i−iii−i−iii
χ422222-2-2-2-22222-2-222-2-2-2-222-2-22-1222-12222-1-1-2-2-2-2-2-211-2-21100000000-1-1-1-1-1-1-1-1-1-11111111111000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000ii−i−iii−i−i
χ432222-2-2-2-22222-2-222-2-2-2-222-2-2-12-1-1-12-1-1-1-122111111-2-211-2-22i2i2i2i−2i−2i−2i−2i-12-1-1-12-1-1-1-1-2-211111111000000002i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ442222-2-2-2-22222-2-222-2-2-2-222-2-2-12-1-1-12-1-1-1-122111111-2-211-2-2−2i−2i−2i−2i2i2i2i2i-12-1-1-12-1-1-1-1-2-21111111100000000−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ452222-2-2-2-2-22-222222-2-2-2-2-2-2222-1-2-22-1-2-222-1-12222-2-211-2-21100000000-1111-1111-1-1-1-11111-1-1-1-10000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000−i−iiiii−i−i
χ462222-2-2-2-2-22-222222-2-2-2-2-2-2222-1-2-22-1-2-222-1-12222-2-211-2-21100000000-1111-1111-1-1-1-11111-1-1-1-1000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000ii−i−i−i−iii
χ472222-2-2-2-2-22-222222-2-2-2-2-2-222-1211-1211-1-122-1-1-1-111-2-211-2-22i2i2i2i−2i−2i−2i−2i-1-211-1-211-1-1221111-1-1-1-100000000−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ482222-2-2-2-2-22-222222-2-2-2-2-2-222-1211-1211-1-122-1-1-1-111-2-211-2-2−2i−2i−2i−2i2i2i2i2i-1-211-1-211-1-1221111-1-1-1-1000000002i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ4922-2-22i2i−2i−2i22-222i−2i-2-22i2i−2i−2i2-22i−2i2-1222-1-2-2-2-2112i2i−2i−2i2i2i−i−i−2i−2iii00000000-1-1-1-1-111111−ii−i−iii−i−iii0000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000000000000000−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ5022-2-22i2i−2i−2i22-222i−2i-2-22i2i−2i−2i2-22i−2i2-1222-1-2-2-2-2112i2i−2i−2i2i2i−i−i−2i−2iii00000000-1-1-1-1-111111−ii−i−iii−i−iii000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000000000000000ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
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χ5422-2-22i2i−2i−2i-2222−2i2i-2-22i2i−2i−2i-22−2i2i2-1-2-22-122-2-211−2i−2i2i2i2i2i−i−i−2i−2iii00000000-1111-1-1-1-111i−i−i−iiiii−i−i000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000000000000000ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ5522-2-22i2i−2i−2i-2222−2i2i-2-22i2i−2i−2i-22−2i2i-1211-12-1-111-2-2ii−i−i−i−i2i2iii−2i−2i2ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26-1-211-12-1-111−2i2i−i−iiiii−i−i00000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2600000000−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ260000000000000000
χ5622-2-22i2i−2i−2i-2222−2i2i-2-22i2i−2i−2i-22−2i2i-1211-12-1-111-2-2ii−i−i−i−i2i2iii−2i−2i−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26-1-211-12-1-111−2i2i−i−iiiii−i−i000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ260000000000000000
χ5722-2-2−2i−2i2i2i22-22−2i2i-2-2−2i−2i2i2i2-2−2i2i2-1222-1-2-2-2-211−2i−2i2i2i−2i−2iii2i2i−i−i00000000-1-1-1-1-111111i−iii−i−iii−i−i000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ5822-2-2−2i−2i2i2i22-22−2i2i-2-2−2i−2i2i2i2-2−2i2i2-1222-1-2-2-2-211−2i−2i2i2i−2i−2iii2i2i−i−i00000000-1-1-1-1-111111i−iii−i−iii−i−i0000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ5922-2-2−2i−2i2i2i22-22−2i2i-2-2−2i−2i2i2i2-2−2i2i-12-1-1-121111-2-2ii−i−iii−2i−2i−i−i2i2i−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46-12-1-1-1-21111−2i2iii−i−iii−i−i00000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ460000000000000000
χ6022-2-2−2i−2i2i2i22-22−2i2i-2-2−2i−2i2i2i2-2−2i2i-12-1-1-121111-2-2ii−i−iii−2i−2i−i−i2i2i2ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46-12-1-1-1-21111−2i2iii−i−iii−i−i000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600000000−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ460000000000000000
χ6122-2-2−2i−2i2i2i-22222i−2i-2-2−2i−2i2i2i-222i−2i2-1-2-22-122-2-2112i2i−2i−2i−2i−2iii2i2i−i−i00000000-1111-1-1-1-111−iiii−i−i−i−iii000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ6222-2-2−2i−2i2i2i-22222i−2i-2-2−2i−2i2i2i-222i−2i2-1-2-22-122-2-2112i2i−2i−2i−2i−2iii2i2i−i−i00000000-1111-1-1-1-111−iiii−i−i−i−iii0000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ6322-2-2−2i−2i2i2i-22222i−2i-2-2−2i−2i2i2i-222i−2i-1211-12-1-111-2-2−i−iiiii−2i−2i−i−i2i2i−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46-1-211-12-1-1112i−2iii−i−i−i−iii000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600000000ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ460000000000000000
χ6422-2-2−2i−2i2i2i-22222i−2i-2-2−2i−2i2i2i-222i−2i-1211-12-1-111-2-2−i−iiiii−2i−2i−i−i2i2i2ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46-1-211-12-1-1112i−2iii−i−i−i−iii00000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ460000000000000000
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χ1044-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46040-400−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460000-2-2−2i32i322−23232i−2i2i−2i−2ζ10+2ζ262ζ10−2ζ262ζ14−2ζ46−2ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ460000000010i3−i3-103−3−ii00−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10−ζ26−ζ10+ζ26−ζ14+ζ46ζ14−ζ460000000000000000000000000000000000000000000000000000
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χ12512-1212i−12i12ζ14+12ζ46−12ζ14−12ζ46−12ζ10−12ζ2612ζ10+12ζ260-60600−6i6i−6ζ14−6ζ466ζ14+6ζ466ζ10+6ζ26−6ζ10−6ζ26000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12612-1212i−12i−12ζ14−12ζ4612ζ14+12ζ4612ζ10+12ζ26−12ζ10−12ζ260-60600−6i6i6ζ14+6ζ46−6ζ14−6ζ46−6ζ10−6ζ266ζ10+6ζ26000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12712-12−12i12i−12ζ10−12ζ2612ζ10+12ζ2612ζ14+12ζ46−12ζ14−12ζ460-606006i−6i6ζ10+6ζ26−6ζ10−6ζ26−6ζ14−6ζ466ζ14+6ζ46000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12812-12−12i12i12ζ10+12ζ26−12ζ10−12ζ26−12ζ14−12ζ4612ζ14+12ζ460-606006i−6i−6ζ10−6ζ266ζ10+6ζ266ζ14+6ζ46−6ζ14−6ζ46000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.