Finite Group Databasebeta

← Group #13138719

Character table — Group #13138719

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111111112222222266666666666666661212121212121212181818181818181818181818181818181818181818181818181818181818181818181818111111112222222266666666666666661212121212121212181818181818181818181818181818181818181818181818181818181818181818181818
order12448888361212242424243366121212122424242424242424361212242424242466881212161616161616161624242424484848484848484848484848484848482244888866121224242424666612121212242424242424242466121224242424246688121216161616161616162424242448484848484848484848484848484848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii
χ81111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i1-111i−i-1-1ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i1-111i−i-1-1ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ1011-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i1-111i−i-1-1−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i1-111i−i-1-1−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ1111-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-11-1-1−ii11ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−i−iiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-11-1-1−ii11ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−i−iiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ1211-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-11-1-1−ii11−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-11-1-1−ii11−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ1311-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii1-111−ii-1-1−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii1-111−ii-1-1−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ1411-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii1-111−ii-1-1ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii1-111−ii-1-1ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ1511-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-11-1-1i−i11−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ii−i−i−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−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-11-1-1i−i11−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ii−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ1611-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-11-1-1i−i11ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ii−i−iζ10+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−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-11-1-1i−i11ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ii−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ1722222222222222222-12-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-100000000-1-1-1-1000000000000000022222222222222222-12-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-100000000-1-1-1-10000000000000000
χ1822222222222222222-12-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-211000000001111000000000000000022222222222222222-12-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2110000000011110000000000000000
χ192222222222222222-12-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222000000000000-1-1-1-1-1-1-1-12222222222222222-12-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222000000000000-1-1-1-1-1-1-1-1
χ202222222222222222-12-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2000000000000111111112222222222222222-12-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000000011111111
χ212222-2-2-2-22222-2-2-2-22-12-122-1-11111-2-2-2-2-1-1-1-1111122-1-1-2-2-1-100000000111100000000000000002222-2-2-2-22222-2-2-2-22-12-122-1-11111-2-2-2-2-1-1-1-1111122-1-1-2-2-1-10000000011110000000000000000
χ222222-2-2-2-22222-2-2-2-22-12-122-1-11111-2-2-2-2-1-1-1-11111-2-211221100000000-1-1-1-100000000000000002222-2-2-2-22222-2-2-2-22-12-122-1-11111-2-2-2-2-1-1-1-11111-2-211221100000000-1-1-1-10000000000000000
χ232222-2-2-2-22222-2-2-2-2-12-12-1-122-2-2-2-21111-1-1-1-111110000000000002i2i−2i−2i000000000000−i−i−i−iiiii2222-2-2-2-22222-2-2-2-2-12-12-1-122-2-2-2-21111-1-1-1-111110000000000002i2i−2i−2i000000000000−i−i−i−iiiii
χ242222-2-2-2-22222-2-2-2-2-12-12-1-122-2-2-2-21111-1-1-1-11111000000000000−2i−2i2i2i000000000000iiii−i−i−i−i2222-2-2-2-22222-2-2-2-2-12-12-1-122-2-2-2-21111-1-1-1-11111000000000000−2i−2i2i2i000000000000iiii−i−i−i−i
χ2522-2-22i2i−2i−2i22-2-22i2i−2i−2i2-12-1-2-211−i−iii2i2i−2i−2i-1-111−i−iii2-2-1-12i−2i1100000000−i−iii000000000000000022-2-22i2i−2i−2i22-2-22i2i−2i−2i2-12-1-2-211−i−iii2i2i−2i−2i-1-111−i−iii2-2-1-12i−2i1100000000−i−iii0000000000000000
χ2622-2-22i2i−2i−2i22-2-22i2i−2i−2i2-12-1-2-211−i−iii2i2i−2i−2i-1-111−i−iii-2211−2i2i-1-100000000ii−i−i000000000000000022-2-22i2i−2i−2i22-2-22i2i−2i−2i2-12-1-2-211−i−iii2i2i−2i−2i-1-111−i−iii-2211−2i2i-1-100000000ii−i−i0000000000000000
χ2722-2-22i2i−2i−2i22-2-22i2i−2i−2i-12-1211-2-22i2i−2i−2i−i−iii-1-111−i−iii0000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2622-2-22i2i−2i−2i22-2-22i2i−2i−2i-12-1211-2-22i2i−2i−2i−i−iii-1-111−i−iii0000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ2822-2-22i2i−2i−2i22-2-22i2i−2i−2i-12-1211-2-22i2i−2i−2i−i−iii-1-111−i−iii000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2622-2-22i2i−2i−2i22-2-22i2i−2i−2i-12-1211-2-22i2i−2i−2i−i−iii-1-111−i−iii000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ2922-2-2−2i−2i2i2i22-2-2−2i−2i2i2i2-12-1-2-211ii−i−i−2i−2i2i2i-1-111ii−i−i2-2-1-1−2i2i1100000000ii−i−i000000000000000022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i2-12-1-2-211ii−i−i−2i−2i2i2i-1-111ii−i−i2-2-1-1−2i2i1100000000ii−i−i0000000000000000
χ3022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i2-12-1-2-211ii−i−i−2i−2i2i2i-1-111ii−i−i-22112i−2i-1-100000000−i−iii000000000000000022-2-2−2i−2i2i2i22-2-2−2i−2i2i2i2-12-1-2-211ii−i−i−2i−2i2i2i-1-111ii−i−i-22112i−2i-1-100000000−i−iii0000000000000000
χ3122-2-2−2i−2i2i2i22-2-2−2i−2i2i2i-12-1211-2-2−2i−2i2i2iii−i−i-1-111ii−i−i000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4622-2-2−2i−2i2i2i22-2-2−2i−2i2i2i-12-1211-2-2−2i−2i2i2iii−i−i-1-111ii−i−i000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ3222-2-2−2i−2i2i2i22-2-2−2i−2i2i2i-12-1211-2-2−2i−2i2i2iii−i−i-1-111ii−i−i0000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4622-2-2−2i−2i2i2i22-2-2−2i−2i2i2i-12-1211-2-2−2i−2i2i2iii−i−i-1-111ii−i−i0000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ332-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2622-2-22i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260000000000000000000000000000000000002-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2622-2-22i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000000000000000000000000000
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χ13766666666-3-3-3-3-3-3-3-300000000000000000000000000000000222200000000-1-1-1-1-1-1-1-100000000-6-6-6-6-6-6-6-63333333300000000000000000000000000000000-2-2-2-2000000001111111100000000
χ13866666666-3-3-3-3-3-3-3-300000000000000000000000000000000-2-2-2-2000000001111111100000000-6-6-6-6-6-6-6-63333333300000000000000000000000000000000222200000000-1-1-1-1-1-1-1-100000000
χ1396666-6-6-6-6-3-3-3-33333000000000000000000000000000000002i2i−2i−2i00000000−i−i−i−iiiii00000000-6-6-6-666663333-3-3-3-300000000000000000000000000000000−2i−2i2i2i00000000iiii−i−i−i−i00000000
χ1406666-6-6-6-6-3-3-3-3333300000000000000000000000000000000−2i−2i2i2i00000000iiii−i−i−i−i00000000-6-6-6-666663333-3-3-3-3000000000000000000000000000000002i2i−2i−2i00000000−i−i−i−iiiii00000000
χ14166-6-66i6i−6i−6i-3-333−3i−3i3i3i000000000000000000000000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000000-6-666−6i−6i6i6i33-3-33i3i−3i−3i00000000000000000000000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2600000000ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600000000
χ14266-6-66i6i−6i−6i-3-333−3i−3i3i3i00000000000000000000000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2600000000ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600000000-6-666−6i−6i6i6i33-3-33i3i−3i−3i000000000000000000000000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000000
χ14366-6-6−6i−6i6i6i-3-3333i3i−3i−3i00000000000000000000000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4600000000-6-6666i6i−6i−6i33-3-3−3i−3i3i3i000000000000000000000000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600000000−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4600000000
χ14466-6-6−6i−6i6i6i-3-3333i3i−3i−3i000000000000000000000000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600000000−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4600000000-6-6666i6i−6i−6i33-3-3−3i−3i3i3i00000000000000000000000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4600000000
χ1456-66i−6i6ζ14+6ζ46−6ζ14−6ζ46−6ζ10−6ζ266ζ10+6ζ26-33−3i3i−3ζ14−3ζ463ζ14+3ζ463ζ10+3ζ26−3ζ10−3ζ2600000000000000000000000000000000000000000000−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ4100000000-66−6i6i−6ζ14−6ζ466ζ14+6ζ466ζ10+6ζ26−6ζ10−6ζ263-33i−3i3ζ14+3ζ46−3ζ14−3ζ46−3ζ10−3ζ263ζ10+3ζ2600000000000000000000000000000000000000000000ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ4100000000
χ1466-66i−6i6ζ14+6ζ46−6ζ14−6ζ46−6ζ10−6ζ266ζ10+6ζ26-33−3i3i−3ζ14−3ζ463ζ14+3ζ463ζ10+3ζ26−3ζ10−3ζ2600000000000000000000000000000000000000000000ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ4100000000-66−6i6i−6ζ14−6ζ466ζ14+6ζ466ζ10+6ζ26−6ζ10−6ζ263-33i−3i3ζ14+3ζ46−3ζ14−3ζ46−3ζ10−3ζ263ζ10+3ζ2600000000000000000000000000000000000000000000−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ4100000000
χ1476-66i−6i−6ζ14−6ζ466ζ14+6ζ466ζ10+6ζ26−6ζ10−6ζ26-33−3i3i3ζ14+3ζ46−3ζ14−3ζ46−3ζ10−3ζ263ζ10+3ζ2600000000000000000000000000000000000000000000−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ2900000000-66−6i6i6ζ14+6ζ46−6ζ14−6ζ46−6ζ10−6ζ266ζ10+6ζ263-33i−3i−3ζ14−3ζ463ζ14+3ζ463ζ10+3ζ26−3ζ10−3ζ2600000000000000000000000000000000000000000000ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ2900000000
χ1486-66i−6i−6ζ14−6ζ466ζ14+6ζ466ζ10+6ζ26−6ζ10−6ζ26-33−3i3i3ζ14+3ζ46−3ζ14−3ζ46−3ζ10−3ζ263ζ10+3ζ2600000000000000000000000000000000000000000000ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ2900000000-66−6i6i6ζ14+6ζ46−6ζ14−6ζ46−6ζ10−6ζ266ζ10+6ζ263-33i−3i−3ζ14−3ζ463ζ14+3ζ463ζ10+3ζ26−3ζ10−3ζ2600000000000000000000000000000000000000000000−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ2900000000
χ1496-6−6i6i−6ζ10−6ζ266ζ10+6ζ266ζ14+6ζ46−6ζ14−6ζ46-333i−3i3ζ10+3ζ26−3ζ10−3ζ26−3ζ14−3ζ463ζ14+3ζ4600000000000000000000000000000000000000000000ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ4700000000-666i−6i6ζ10+6ζ26−6ζ10−6ζ26−6ζ14−6ζ466ζ14+6ζ463-3−3i3i−3ζ10−3ζ263ζ10+3ζ263ζ14+3ζ46−3ζ14−3ζ4600000000000000000000000000000000000000000000−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ4700000000
χ1506-6−6i6i−6ζ10−6ζ266ζ10+6ζ266ζ14+6ζ46−6ζ14−6ζ46-333i−3i3ζ10+3ζ26−3ζ10−3ζ26−3ζ14−3ζ463ζ14+3ζ4600000000000000000000000000000000000000000000−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ4700000000-666i−6i6ζ10+6ζ26−6ζ10−6ζ26−6ζ14−6ζ466ζ14+6ζ463-3−3i3i−3ζ10−3ζ263ζ10+3ζ263ζ14+3ζ46−3ζ14−3ζ4600000000000000000000000000000000000000000000ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ4700000000
χ1516-6−6i6i6ζ10+6ζ26−6ζ10−6ζ26−6ζ14−6ζ466ζ14+6ζ46-333i−3i−3ζ10−3ζ263ζ10+3ζ263ζ14+3ζ46−3ζ14−3ζ4600000000000000000000000000000000000000000000−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ4300000000-666i−6i−6ζ10−6ζ266ζ10+6ζ266ζ14+6ζ46−6ζ14−6ζ463-3−3i3i3ζ10+3ζ26−3ζ10−3ζ26−3ζ14−3ζ463ζ14+3ζ4600000000000000000000000000000000000000000000ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ4300000000
χ1526-6−6i6i6ζ10+6ζ26−6ζ10−6ζ26−6ζ14−6ζ466ζ14+6ζ46-333i−3i−3ζ10−3ζ263ζ10+3ζ263ζ14+3ζ46−3ζ14−3ζ4600000000000000000000000000000000000000000000ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ4300000000-666i−6i−6ζ10−6ζ266ζ10+6ζ266ζ14+6ζ46−6ζ14−6ζ463-3−3i3i3ζ10+3ζ26−3ζ10−3ζ26−3ζ14−3ζ463ζ14+3ζ4600000000000000000000000000000000000000000000−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ4300000000

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