Finite Group Databasebeta

← Group #10706947

Character table — Group #10706947

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222444444444444444444444444444444444444666666668888888812121212121212121212121216161616161616162424242424242424
order124488882344444688888812122424242461212121212161616161616161624242424242448484848484848484848484848484848161616161616161616161616161616168888888816161616484848484848484822448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-11-111-1-1
χ91111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−iii−i−i1111-1-1-1-1
χ101111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii−i−iiiiiii−i−i−i−iii−i−i−i−iii−i−iii-1-1-1-11111
χ111111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i-1-1-1-11111
χ121111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii−i−iii1111-1-1-1-1
χ131111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iii−i−i−i−iii−i−i−i−iiiiiii−i−iii−i−i−i−iii1-11-1-1-111
χ141111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i-11-1111-1-1
χ151111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−iiiii−i−i−i−iii-11-1111-1-1
χ161111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−iiiii−i−iiiii−i−i−i−i−i−iii−i−iiiii−i−i1-11-1-1-111
χ1711-1-1ii−i−i-111ii−i−i111-1-1i−i-1-1ii−i−i-1ii−i−i111-1-1ii−i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+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+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ2611-1-1i−ii−i
χ1811-1-1ii−i−i-111ii−i−i111-1-1i−i-1-1ii−i−i-1ii−i−i111-1-1ii−i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+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+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26-1-111−ii−ii
χ1911-1-1ii−i−i-111ii−i−i111-1-1i−i-1-1ii−i−i-1ii−i−i111-1-1ii−i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−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−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26-1-111−ii−ii
χ2011-1-1ii−i−i-111ii−i−i111-1-1i−i-1-1ii−i−i-1ii−i−i111-1-1ii−i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−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−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ2611-1-1i−ii−i
χ2111-1-1ii−i−i-111ii−i−i111-1-1i−i-1-1ii−i−i-1ii−i−i1-1-111−i−iiii−i11-1-1-1-1-1-11111−i−i−i−iiiiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+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+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ261-1-11i−i−ii
χ2211-1-1ii−i−i-111ii−i−i111-1-1i−i-1-1ii−i−i-1ii−i−i1-1-111−i−iiii−i11-1-1-1-1-1-11111−i−i−i−iiiiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+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+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26-111-1−iii−i
χ2311-1-1ii−i−i-111ii−i−i111-1-1i−i-1-1ii−i−i-1ii−i−i1-1-111−i−iiii−i11-1-1-1-1-1-11111−i−i−i−iiiii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−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−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26-111-1−iii−i
χ2411-1-1ii−i−i-111ii−i−i111-1-1i−i-1-1ii−i−i-1ii−i−i1-1-111−i−iiii−i11-1-1-1-1-1-11111−i−i−i−iiiii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−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−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ261-1-11i−i−ii
χ2511-1-1−i−iii-111−i−iii111-1-1−ii-1-1−i−iii-1−i−iii111-1-1−i−iii−ii11-1-11111-1-1-1-1−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−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−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ4611-1-1−ii−ii
χ2611-1-1−i−iii-111−i−iii111-1-1−ii-1-1−i−iii-1−i−iii111-1-1−i−iii−ii11-1-11111-1-1-1-1−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−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−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46-1-111i−ii−i
χ2711-1-1−i−iii-111−i−iii111-1-1−ii-1-1−i−iii-1−i−iii111-1-1−i−iii−ii11-1-11111-1-1-1-1−i−i−i−iiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+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+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46-1-111i−ii−i
χ2811-1-1−i−iii-111−i−iii111-1-1−ii-1-1−i−iii-1−i−iii111-1-1−i−iii−ii11-1-11111-1-1-1-1−i−i−i−iiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+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+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ4611-1-1−ii−ii
χ2911-1-1−i−iii-111−i−iii111-1-1−ii-1-1−i−iii-1−i−iii1-1-111ii−i−i−ii11-1-1-1-1-1-11111iiii−i−i−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−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−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ461-1-11−iii−i
χ3011-1-1−i−iii-111−i−iii111-1-1−ii-1-1−i−iii-1−i−iii1-1-111ii−i−i−ii11-1-1-1-1-1-11111iiii−i−i−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−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−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46-111-1i−i−ii
χ3111-1-1−i−iii-111−i−iii111-1-1−ii-1-1−i−iii-1−i−iii1-1-111ii−i−i−ii11-1-1-1-1-1-11111iiii−i−i−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+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+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46-111-1i−i−ii
χ3211-1-1−i−iii-111−i−iii111-1-1−ii-1-1−i−iii-1−i−iii1-1-111ii−i−i−ii11-1-1-1-1-1-11111iiii−i−i−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+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+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ461-1-11−iii−i
χ3322222222222-2-2-2-22-2-2-2-2222222222-2-2-2-220000000022-2-2-2-20000000000000000222222220000000000000000-2-2-2-20000000000000000
χ3422222222222-2-2-2-22-2-2-2-2222222222-2-2-2-220000000022-2-2-2-20000000000000000-2-2-2-2-2-2-2-2000000000000000022220000000000000000
χ35222222222-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222000000000000-1-1-1-1-1-1-1-100000000
χ36222222222-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-20000000000001111111100000000
χ37222222222-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111111111111000000002222-2-2-2-2000000000000-1-1-1-1111100000000
χ38222222222-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111111100000000-2-2-2-222220000000000001111-1-1-1-100000000
χ3922222222-22-2000020000-2-2222222-20000-22−22−22−22−2-2-2000022−2−222−2−222−2−222−2−22-22-22-22-2000000002−22−22−22−200000000000000000000
χ4022222222-22-2000020000-2-2222222-20000-22−22−22−22−2-2-2000022−2−222−2−222−2−222−2−2-22-22-22-2200000000−22−22−22−2200000000000000000000
χ4122222222-22-2000020000-2-2222222-20000-2−22−22−22−22-2-20000−2−222−2−222−2−222−2−2222-22-22-22-200000000−22−22−22−2200000000000000000000
χ4222222222-22-2000020000-2-2222222-20000-2−22−22−22−22-2-20000−2−222−2−222−2−222−2−222-22-22-22-22000000002−22−22−22−200000000000000000000
χ432222-2-2-2-222222222-2-2-2-2-2-222-2-2-2-222222200000000-2-2-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i0000000000000000
χ442222-2-2-2-222222222-2-2-2-2-2-222-2-2-2-222222200000000-2-2-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i0000000000000000
χ452222-2-2-2-22-12-2-2-2-2-12222-2-2-1-11111-11111-12222-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii00000000
χ462222-2-2-2-22-12-2-2-2-2-12222-2-2-1-11111-11111-12222-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i00000000
χ472222-2-2-2-22-12-2-2-2-2-12222-2-2-1-11111-11111-1-2-2-2-2222211-1-1-1-111111111-1-1-1-1-1-1-1-1000000002i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i00000000
χ482222-2-2-2-22-12-2-2-2-2-12222-2-2-1-11111-11111-1-2-2-2-2222211-1-1-1-111111111-1-1-1-1-1-1-1-100000000−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii00000000
χ492222-2-2-2-2-22-20000200002222-2-2-2-2-20000-22−22−2−22−2222000022−2−222−2−2−2−222−2−2222i−2i2i−2i−2i2i−2i2i00000000i2−i2i2−i2−i2i2−i2i200000000000000000000
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χ974-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460402−2i−2+2i2+2i−2−2i-422−222i2−2i200−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ4602−2i−2+2i2+2i−2−2i0000000000022−222i2−2i2000000000000000000000000000000000000000000000000000000000000
χ984-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46040−2+2i2−2i−2−2i2+2i-4−2222−2i22i200−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460−2+2i2−2i−2−2i2+2i00000000000−2222−2i22i2000000000000000000000000000000000000000000000000000000000000
χ994-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-202−2i−2+2i2+2i−2−2i222−222i2−2i2002i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460−1+i1−i−1−i1+i00000000000−22−i2i2−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ43ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ4700000000000000000000000000000000000000000000
χ1004-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-202−2i−2+2i2+2i−2−2i222−222i2−2i2002i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460−1+i1−i−1−i1+i00000000000−22−i2i2ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ43−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ4700000000000000000000000000000000000000000000
χ1014-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-20−2+2i2−2i−2−2i2+2i2−2222−2i22i2002i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4601−i−1+i1+i−1−i000000000002−2i2−i2−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ4300000000000000000000000000000000000000000000
χ1024-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-20−2+2i2−2i−2−2i2+2i2−2222−2i22i2002i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4601−i−1+i1+i−1−i000000000002−2i2−i2ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ4300000000000000000000000000000000000000000000
χ1034-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460402−2i−2+2i2+2i−2−2i-4−2222−2i22i200−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ4602−2i−2+2i2+2i−2−2i00000000000−2222−2i22i2000000000000000000000000000000000000000000000000000000000000
χ1044-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46040−2+2i2−2i−2−2i2+2i-422−222i2−2i200−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460−2+2i2−2i−2−2i2+2i0000000000022−222i2−2i2000000000000000000000000000000000000000000000000000000000000
χ1054-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-202−2i−2+2i2+2i−2−2i2−2222−2i22i2002i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460−1+i1−i−1−i1+i000000000002−2i2−i2−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ4300000000000000000000000000000000000000000000
χ1064-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-202−2i−2+2i2+2i−2−2i2−2222−2i22i2002i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460−1+i1−i−1−i1+i000000000002−2i2−i2ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ4300000000000000000000000000000000000000000000
χ1074-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-20−2+2i2−2i−2−2i2+2i222−222i2−2i2002i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4601−i−1+i1+i−1−i00000000000−22−i2i2−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ43−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ4700000000000000000000000000000000000000000000
χ1084-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-20−2+2i2−2i−2−2i2+2i222−222i2−2i2002i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4601−i−1+i1+i−1−i00000000000−22−i2i2ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ43ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ4700000000000000000000000000000000000000000000

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