Finite Group Databasebeta

← Group #13135862

Character table — Group #13135862

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size11111111111111111111111122222222222244444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636
order1233446688881212121224242424242424242466881212242424241616161648484848484848483333666612121212121212122424242424242424242424242424242466661212121224242424242424244848484848484848484848484848484848484848484848484848484848484848161616161616161648484848484848484848484848484848246688121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-1-1-1
χ611111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-11111
χ711111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-11111
χ811111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-1-1-1
χ91111-1-111ii−i−i-1-1-1-1iiii−i−i−i−i-11-1-1i−i11ii−i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−iζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ261-111i−i-1-1ii−i−i
χ101111-1-111ii−i−i-1-1-1-1iiii−i−i−i−i-11-1-1i−i11ii−i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−iζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26-11-1-1−ii11−i−iii
χ111111-1-111ii−i−i-1-1-1-1iiii−i−i−i−i-11-1-1i−i11ii−i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26-11-1-1−ii11−i−iii
χ121111-1-111ii−i−i-1-1-1-1iiii−i−i−i−i-11-1-1i−i11ii−i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ261-111i−i-1-1ii−i−i
χ131111-1-111−i−iii-1-1-1-1−i−i−i−iiiii-11-1-1−ii11−i−iii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ461-111−ii-1-1−i−iii
χ141111-1-111−i−iii-1-1-1-1−i−i−i−iiiii-11-1-1−ii11−i−iii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiii−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46-11-1-1i−i11ii−i−i
χ151111-1-111−i−iii-1-1-1-1−i−i−i−iiiii-11-1-1−ii11−i−iiiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiiiζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46-11-1-1i−i11ii−i−i
χ161111-1-111−i−iii-1-1-1-1−i−i−i−iiiii-11-1-1−ii11−i−iiiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiiiζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ461-111−ii-1-1−i−iii
χ172222222222222222222222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000000
χ18222222222222222222222222222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ19222222222222222222222222222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000000000000000
χ20222222222222222222222222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000000000000
χ21222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000000000000000000000000000
χ22222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000000000000000
χ23222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-211000000000000000000000000000000000000
χ24222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2000000000000000000000000000000000000
χ25222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000022222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ26222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000002-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-211100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ27222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000002-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-211100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ28222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-211−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3000000000000000000000000000000000000
χ29222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-211i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3000000000000000000000000000000000000
χ30222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-21−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3000000000000000000000000000000000000
χ31222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-21i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3000000000000000000000000000000000000
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χ3622222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-12-1-1-12-111-2111-21−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii000000000000000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-12-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-12-1-1-12111-2111-2−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i000000000000000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1-2111-2111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i000000000000000000000000000000000000
χ3922222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-12-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-12-1-1-12-1-11-2111-211ii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−i000000000000000000000000000000000000
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χ4722222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-21-1-12-1-1-12-13−3−33003−33−3−33003−3−333−300−33−333−300−33000000000000000000000000000000000000
χ4822222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-21-1-12-1-1-12-1−333−300−33−333−300−333−3−33003−33−3−33003−3000000000000000000000000000000000000
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χ542222-2-2222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i2-222−2i2i-2-2−2i−2i2i2i000000000000-12-1-1-12-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-211i−2iii−i2i−i−i−ζ14+ζ46ζ14−ζ4600−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46ζ14−ζ46−ζ14+ζ4600ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46−ζ10+ζ26ζ10−ζ2600−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26ζ10−ζ26−ζ10+ζ2600ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26000000000000000000000000000000000000
χ552222-2-2222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i2-222−2i2i-2-2−2i−2i2i2i000000000000-12-1-1-12-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-211i−2iii−i2i−i−iζ14−ζ46−ζ14+ζ4600ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46−ζ14+ζ46ζ14−ζ4600−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46ζ10−ζ26−ζ10+ζ2600ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26−ζ10+ζ26ζ10−ζ2600−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26000000000000000000000000000000000000
χ562222-2-2222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i2-222−2i2i-2-2−2i−2i2i2i000000000000-1-12-1-1-12-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii-1-12-111-21ii−2ii−i−i2i−i−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ4600−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ4600ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ2600−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ2600ζ10−ζ26−ζ10+ζ26000000000000000000000000000000000000
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χ10633−3−3i32−3+3i32-3-3−3−3i32−3+3i32−3i−3i3i3i3+3i323−3i323+3i323−3i32−3ζ44−3ζ28−3ζ44−3ζ283ζ443ζ283ζ443ζ28-333+3i323−3i32−3i3i−3−3i32−3+3i32−3ζ44−3ζ283ζ443ζ28−3ζ10−3ζ263ζ10+3ζ263ζ14+3ζ46−3ζ14−3ζ463ζ263ζ10−3ζ26−3ζ10−3ζ14−3ζ463ζ143ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ26−ζ10−ζ26−ζ10ζ26ζ10ζ26ζ10ζ14ζ46ζ14ζ46−ζ14−ζ46−ζ14−ζ46-111+i321−i32i−i−1−i32−1+i32ζ44ζ28−ζ44−ζ28
χ10733−3−3i32−3+3i32-3-3−3−3i32−3+3i32−3i−3i3i3i3+3i323−3i323+3i323−3i32−3ζ44−3ζ28−3ζ44−3ζ283ζ443ζ283ζ443ζ28-333+3i323−3i32−3i3i−3−3i32−3+3i32−3ζ44−3ζ283ζ443ζ283ζ10+3ζ26−3ζ10−3ζ26−3ζ14−3ζ463ζ14+3ζ46−3ζ26−3ζ103ζ263ζ103ζ143ζ46−3ζ14−3ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ26ζ10ζ26ζ10−ζ26−ζ10−ζ26−ζ10−ζ14−ζ46−ζ14−ζ46ζ14ζ46ζ14ζ46-111+i321−i32i−i−1−i32−1+i32ζ44ζ28−ζ44−ζ28
χ10833−3−3i32−3+3i32-3-3−3−3i32−3+3i32−3i−3i3i3i3+3i323−3i323+3i323−3i32−3ζ44−3ζ28−3ζ44−3ζ283ζ443ζ283ζ443ζ28-333+3i323−3i32−3i3i−3−3i32−3+3i32−3ζ44−3ζ283ζ443ζ283ζ10+3ζ26−3ζ10−3ζ26−3ζ14−3ζ463ζ14+3ζ46−3ζ26−3ζ103ζ263ζ103ζ143ζ46−3ζ14−3ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ26−ζ10−ζ26−ζ10ζ26ζ10ζ26ζ10ζ14ζ46ζ14ζ46−ζ14−ζ46−ζ14−ζ461-1−1−i32−1+i32−ii1+i321−i32−ζ44−ζ28ζ44ζ28
χ10933−3+3i32−3−3i3233−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000000000000000000000000000000000000000000000000011111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
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χ11133−3+3i32−3−3i3233−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i320000000000000000000000000000000000000000000000000000000000000000000000000000000011111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i32-1-11−i321+i321−i321+i321−i321+i32
χ11233−3+3i32−3−3i3233−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3200000000000000000000000000000000000000000000000000000000000000000000000000000000-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
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χ11433−3+3i32−3−3i3233−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323i3i−3i−3i3ζ283ζ443ζ283ζ44−3ζ28−3ζ44−3ζ28−3ζ4400000000000000000000000000000000000000000000000000000000000000000000000000000000−i−i−i−iiiii−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44-1-11−i321+i32111−i321+i32−1+i32−1−i32−1+i32−1−i32
χ11533−3+3i32−3−3i3233−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3i−3i3i3i−3ζ28−3ζ44−3ζ28−3ζ443ζ283ζ443ζ283ζ4400000000000000000000000000000000000000000000000000000000000000000000000000000000iiii−i−i−i−iζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44-1-11−i321+i32111−i321+i32−1+i32−1−i32−1+i32−1−i32
χ11633−3+3i32−3−3i3233−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3233−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3i−3i3i3i−3ζ28−3ζ44−3ζ28−3ζ443ζ283ζ443ζ283ζ4400000000000000000000000000000000000000000000000000000000000000000000000000000000−i−i−i−iiiii−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ4411−1+i32−1−i32-1-1−1+i32−1−i321−i321+i321−i321+i32
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χ11833−3+3i32−3−3i32-3-3−3+3i32−3−3i323i3i−3i−3i3−3i323+3i323−3i323+3i323ζ283ζ443ζ283ζ44−3ζ28−3ζ44−3ζ28−3ζ44-333−3i323+3i323i−3i−3+3i32−3−3i323ζ283ζ44−3ζ28−3ζ443ζ14+3ζ46−3ζ14−3ζ46−3ζ10−3ζ263ζ10+3ζ26−3ζ46−3ζ143ζ463ζ143ζ103ζ26−3ζ10−3ζ2600000000000000000000000000000000000000000000000000000000000000000000000000000000−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ46ζ14ζ46ζ14−ζ46−ζ14−ζ46−ζ14−ζ10−ζ26−ζ10−ζ26ζ10ζ26ζ10ζ26-111−i321+i32−ii−1+i32−1−i32−ζ28−ζ44ζ28ζ44
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χ1636-6−3+3i3−3−3i3−6i6i3−3i33+3i36ζ10+6ζ26−6ζ10−6ζ26−6ζ14−6ζ466ζ14+6ζ46−6ζ28−6ζ446ζ286ζ44−6ζ10−6ζ266ζ106ζ266ζ466ζ14−6ζ46−6ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ζ11−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−ζ41ζ31−ζ43−ζ11+ζ47−ζ31+ζ43ζ11−ζ47ζ31+ζ43ζ11+ζ47−ζ31−ζ43−ζ11−ζ47ζ13−ζ25ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25ζ29+ζ41000000000000
χ1646-6−3+3i3−3−3i3−6i6i3−3i33+3i36ζ10+6ζ26−6ζ10−6ζ26−6ζ14−6ζ466ζ14+6ζ46−6ζ28−6ζ446ζ286ζ44−6ζ10−6ζ266ζ106ζ266ζ466ζ14−6ζ46−6ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ31+ζ43ζ11−ζ47ζ31−ζ43−ζ11+ζ47−ζ31−ζ43−ζ11−ζ47ζ31+ζ43ζ11+ζ47−ζ13+ζ25−ζ29+ζ41ζ13−ζ25ζ29−ζ41ζ13+ζ25ζ29+ζ41−ζ13−ζ25−ζ29−ζ41000000000000

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