Finite Group Databasebeta

← Group #10712927

Character table — Group #10712927

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order1222444488888888223446668888121212122424242424242424444466888812121212121212121212161616161616161624242424242424242424242416161616161616161616161648484848484848484848484848484848444488881616161616161616161616162488
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
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-111
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−i−i−iiiii11-1-1
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iiiii−i−i−i−i11-1-1
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii-1-111
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11iiii−i−i−i−i-1-1-1-111111111iiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−i−i−i−i−iiiii11-1-1
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11iiii−i−i−i−i-1-1-1-111111111−i−i−i−iiiii−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iiiiiii−i−i−i−i-1-111
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11−i−i−i−iiiii-1-1-1-111111111iiii−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i−i−i−i−iiiii-1-111
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11−i−i−i−iiiii-1-1-1-111111111−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−iiiiiii−i−i−i−i11-1-1
χ171111-1-1-1-1ii−i−iii−i−i-1-1111111i−ii−i-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-11iiii−i−i−i−i1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−i1111-1-1-1-1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-1ii−i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461-1i−i
χ181111-1-1-1-1ii−i−iii−i−i-1-1111111i−ii−i-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-11iiii−i−i−i−i1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−i1111-1-1-1-1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-1-111−i−iii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-11−ii
χ191111-1-1-1-1ii−i−iii−i−i-1-1111111i−ii−i-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-11iiii−i−i−i−i1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−i1111-1-1-1-1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-1-111−i−iiiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-11−ii
χ201111-1-1-1-1ii−i−iii−i−i-1-1111111i−ii−i-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-11iiii−i−i−i−i1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−i1111-1-1-1-1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-1ii−i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461-1i−i
χ211111-1-1-1-1ii−i−iii−i−i-1-1111111i−ii−i-1-1-1-1ii−i−iii−i−i−i−iii-1-1-1-1111−i−i−i−iiiii1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−i-1-1-1-11111ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-1ii−i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-11−ii
χ221111-1-1-1-1ii−i−iii−i−i-1-1111111i−ii−i-1-1-1-1ii−i−iii−i−i−i−iii-1-1-1-1111−i−i−i−iiiii1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−i-1-1-1-11111−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-1-111−i−iii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461-1i−i
χ231111-1-1-1-1ii−i−iii−i−i-1-1111111i−ii−i-1-1-1-1ii−i−iii−i−i−i−iii-1-1-1-1111−i−i−i−iiiii1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−i-1-1-1-11111ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-1-111−i−iiiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461-1i−i
χ241111-1-1-1-1ii−i−iii−i−i-1-1111111i−ii−i-1-1-1-1ii−i−iii−i−i−i−iii-1-1-1-1111−i−i−i−iiiii1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−i-1-1-1-11111−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-1ii−i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-11−ii
χ251111-1-1-1-1−i−iii−i−iii-1-1111111−ii−ii-1-1-1-1−i−iii−i−iiiii−i−i-1-1-1-1111iiii−i−i−i−i1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iii-1-1-1-11111−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-1−i−iii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-11i−i
χ261111-1-1-1-1−i−iii−i−iii-1-1111111−ii−ii-1-1-1-1−i−iii−i−iiiii−i−i-1-1-1-1111iiii−i−i−i−i1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iii-1-1-1-11111ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-1-111ii−i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261-1−ii
χ271111-1-1-1-1−i−iii−i−iii-1-1111111−ii−ii-1-1-1-1−i−iii−i−iiiii−i−i-1-1-1-1111iiii−i−i−i−i1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iii-1-1-1-11111−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-1-111ii−i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261-1−ii
χ281111-1-1-1-1−i−iii−i−iii-1-1111111−ii−ii-1-1-1-1−i−iii−i−iiiii−i−i-1-1-1-1111iiii−i−i−i−i1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iii-1-1-1-11111ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-1−i−iiiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-11i−i
χ291111-1-1-1-1−i−iii−i−iii-1-1111111−ii−ii-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-11−i−i−i−iiiii1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iii1111-1-1-1-1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-1−i−iii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261-1−ii
χ301111-1-1-1-1−i−iii−i−iii-1-1111111−ii−ii-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-11−i−i−i−iiiii1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iii1111-1-1-1-1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-1-111ii−i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-11i−i
χ311111-1-1-1-1−i−iii−i−iii-1-1111111−ii−ii-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-11−i−i−i−iiiii1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iii1111-1-1-1-1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-1-111ii−i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-11i−i
χ321111-1-1-1-1−i−iii−i−iii-1-1111111−ii−ii-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-11−i−i−i−iiiii1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iii1111-1-1-1-1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-1−i−iiiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261-1−ii
χ33222222222222222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34222222222222222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ35222222222222222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-111111111-122222222-1-1-1-11111111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ36222222222222222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-111111111-1-2-2-2-2-2-2-2-2-1-1-1-11111111100000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ372222222222222222-2-22-2-2222-2-2-2-22222222222220000-2-20000-200000000-200000000-2-2-2-200000000222222220000000000000000000000000000-2-2-2-2000000000000
χ382222222222222222-2-22-2-2222-2-2-2-22222222222220000-2-20000-200000000-200000000-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000002222000000000000
χ3922222222-2-2-2-2-2-2-2-222-122-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-12i2i2i2i−2i−2i−2i−2i111111111111000000002i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-122-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1−2i−2i−2i−2i2i2i2i2i11111111111100000000−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-222-122-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-12222-111111111-12i2i2i2i−2i−2i−2i−2i1111-1-1-1-1-1-1-1-100000000−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-222-122-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-12222-111111111-1−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1-1-1-1-1000000002i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-22-2-222222222222-2-2-2-2-2-2-2-20000-2-20000-200000000-2000000002222000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000−2i−2i2i2i000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-22-2-222222222222-2-2-2-2-2-2-2-20000-2-20000-200000000-200000000222200000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002i2i−2i−2i000000000000
χ452222-2-2-2-22i2i−2i−2i2i2i−2i−2i222-2-2222−2i2i−2i2i-2-2-2-22i2i−2i−2i2i2i−2i−2i0000220000-200000000-200000000−2i−2i2i2i000000002ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ260000000000000000000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000
χ462222-2-2-2-22i2i−2i−2i2i2i−2i−2i222-2-2222−2i2i−2i2i-2-2-2-22i2i−2i−2i2i2i−2i−2i0000220000-200000000-200000000−2i−2i2i2i00000000−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ2600000000000000000000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000
χ472222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-122-1-1-12i−2i2i−2i1111−i−iii−i−iii2i2i−2i−2i1122-2-2-1−i−i−i−iiiii-12ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−i−iii-1-1-1-1111100000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46000000000000000000000000
χ482222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-122-1-1-12i−2i2i−2i1111−i−iii−i−iii2i2i−2i−2i1122-2-2-1−i−i−i−iiiii-1−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−i−iii-1-1-1-11111000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46000000000000000000000000
χ492222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-122-1-1-12i−2i2i−2i1111−i−iii−i−iii−2i−2i2i2i11-2-222-1iiii−i−i−i−i-12ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−i−iii1111-1-1-1-1000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46000000000000000000000000
χ502222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-122-1-1-12i−2i2i−2i1111−i−iii−i−iii−2i−2i2i2i11-2-222-1iiii−i−i−i−i-1−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−i−iii1111-1-1-1-100000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46000000000000000000000000
χ512222-2-2-2-2−2i−2i2i2i−2i−2i2i2i222-2-22222i−2i2i−2i-2-2-2-2−2i−2i2i2i−2i−2i2i2i0000220000-200000000-2000000002i2i−2i−2i00000000−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ4600000000000000000000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000
χ522222-2-2-2-2−2i−2i2i2i−2i−2i2i2i222-2-22222i−2i2i−2i-2-2-2-2−2i−2i2i2i−2i−2i2i2i0000220000-200000000-2000000002i2i−2i−2i000000002ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ460000000000000000000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000
χ532222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2-122-1-1-1−2i2i−2i2i1111ii−i−iii−i−i2i2i−2i−2i11-2-222-1−i−i−i−iiiii-1−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46ii−i−i1111-1-1-1-100000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26000000000000000000000000
χ542222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2-122-1-1-1−2i2i−2i2i1111ii−i−iii−i−i2i2i−2i−2i11-2-222-1−i−i−i−iiiii-12ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46ii−i−i1111-1-1-1-1000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26000000000000000000000000
χ552222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2-122-1-1-1−2i2i−2i2i1111ii−i−iii−i−i−2i−2i2i2i1122-2-2-1iiii−i−i−i−i-1−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46ii−i−i-1-1-1-11111000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26000000000000000000000000
χ562222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2-122-1-1-1−2i2i−2i2i1111ii−i−iii−i−i−2i−2i2i2i1122-2-2-1iiii−i−i−i−i-12ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46ii−i−i-1-1-1-1111100000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26000000000000000000000000
χ5722-2-22i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26002002-2-200002i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ261+i−1−i1−i−1+i002−2−i2i201+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000022−2−2−i2−i2i2i22ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ4100000000000000000000000000000000ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ410000
χ5822-2-22i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26002002-2-200002i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ261+i−1−i1−i−1+i002−2−i2i201+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000022−2−2−i2−i2i2i2−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ4100000000000000000000000000000000−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ410000
χ5922-2-22i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26002002-2-200002i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−1−i1+i−1+i1−i00−22i2−i20−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000−2−222i2i2−i2−i22ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ4100000000000000000000000000000000−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ410000
χ6022-2-22i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26002002-2-200002i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−1−i1+i−1+i1−i00−22i2−i20−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000−2−222i2i2−i2−i2−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ4100000000000000000000000000000000ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ410000
χ6122-2-22i−2i2i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26002002-2-200002i−2i2i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ261+i−1−i1−i−1+i00−22i2−i201+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000−2−222i2i2−i2−i2−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ2900000000000000000000000000000000ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ410000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.