Finite Group Databasebeta

← Group #13166408

Character table — Group #13166408

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122224444444466888888889999121212121212121218181818181818181818181818181818545454545454111122224444444466888888889999121212121212121218181818181818181818181818181818545454545454
order12443612123366121212122433661212121288886666121212121616161624242424484848484848484888161616162244661212666612121212246666121212128888666612121212161616162424242448484848484848488816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111ii−i−i-1-1-1-1iiii−i−i−i−i-1-1ii−i−i11111111111111111111111111-1-1-1-111111111ii−i−i-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ411111111111111111111111111-1-1-1-111111111−i−iii-1-1-1-1−i−i−i−iiiii-1-1−i−iii11111111111111111111111111-1-1-1-111111111−i−iii-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ61111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i11−i−iii1111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii11ii−i−i1111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii11ii−i−i
χ911-1-111-1-11111-1-1-1-11-11111-1-1-1-1ii−i−i1111-1-1-1-1ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ2611-1-111-1-11111-1-1-1-11-11111-1-1-1-1ii−i−i1111-1-1-1-1ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1011-1-111-1-11111-1-1-1-11-11111-1-1-1-1ii−i−i1111-1-1-1-1−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ2611-1-111-1-11111-1-1-1-11-11111-1-1-1-1ii−i−i1111-1-1-1-1−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1111-1-111-1-11111-1-1-1-11-11111-1-1-1-1−i−iii1111-1-1-1-1−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ4611-1-111-1-11111-1-1-1-11-11111-1-1-1-1−i−iii1111-1-1-1-1−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ1211-1-111-1-11111-1-1-1-11-11111-1-1-1-1−i−iii1111-1-1-1-1ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ4611-1-111-1-11111-1-1-1-11-11111-1-1-1-1−i−iii1111-1-1-1-1ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ1311-1-111-1-11111-1-1-1-1-111111-1-1-1-1ii−i−i-1-1-1-11111ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ2611-1-111-1-11111-1-1-1-1-111111-1-1-1-1ii−i−i-1-1-1-11111ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1411-1-111-1-11111-1-1-1-1-111111-1-1-1-1ii−i−i-1-1-1-11111−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ2611-1-111-1-11111-1-1-1-1-111111-1-1-1-1ii−i−i-1-1-1-11111−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1511-1-111-1-11111-1-1-1-1-111111-1-1-1-1−i−iii-1-1-1-11111−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ4611-1-111-1-11111-1-1-1-1-111111-1-1-1-1−i−iii-1-1-1-11111−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ1611-1-111-1-11111-1-1-1-1-111111-1-1-1-1−i−iii-1-1-1-11111ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ4611-1-111-1-11111-1-1-1-1-111111-1-1-1-1−i−iii-1-1-1-11111ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ172222-1-1-1-12222222200-1-1-1-1-1-1-1-12222000000002222-1-1-1-1-1-1-1-1-1-1-1-10000002222-1-1-1-12222222200-1-1-1-1-1-1-1-12222000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ182222-1-1-1-12222222200-1-1-1-1-1-1-1-1222200000000-2-2-2-2-1-1-1-1111111110000002222-1-1-1-12222222200-1-1-1-1-1-1-1-1222200000000-2-2-2-2-1-1-1-111111111000000
χ192222-1-1-1-12222222200-1-1-1-1-1-1-1-1-2-2-2-2000000002i2i−2i−2i1111−i−i−i−iiiii0000002222-1-1-1-12222222200-1-1-1-1-1-1-1-1-2-2-2-2000000002i2i−2i−2i1111−i−i−i−iiiii000000
χ202222-1-1-1-12222222200-1-1-1-1-1-1-1-1-2-2-2-200000000−2i−2i2i2i1111iiii−i−i−i−i0000002222-1-1-1-12222222200-1-1-1-1-1-1-1-1-2-2-2-200000000−2i−2i2i2i1111iiii−i−i−i−i000000
χ2122-2-2-1-1112222-2-2-2-200-1-1-1-111112i2i−2i−2i000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000022-2-2-1-1112222-2-2-2-200-1-1-1-111112i2i−2i−2i000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26000000
χ2222-2-2-1-1112222-2-2-2-200-1-1-1-111112i2i−2i−2i00000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−i−iiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600000022-2-2-1-1112222-2-2-2-200-1-1-1-111112i2i−2i−2i00000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−i−iiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26000000
χ2322-2-2-1-1112222-2-2-2-200-1-1-1-11111−2i−2i2i2i00000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46ii−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4600000022-2-2-1-1112222-2-2-2-200-1-1-1-11111−2i−2i2i2i00000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46ii−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46000000
χ2422-2-2-1-1112222-2-2-2-200-1-1-1-11111−2i−2i2i2i000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46ii−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4600000022-2-2-1-1112222-2-2-2-200-1-1-1-11111−2i−2i2i2i000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46ii−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46000000
χ252-22i−2i2-22i−2i22-2-22i2i−2i−2i0022-2-22i2i−2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000002-22i−2i2-22i−2i22-2-22i2i−2i−2i0022-2-22i2i−2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000000000
χ262-22i−2i2-22i−2i22-2-22i2i−2i−2i0022-2-22i2i−2i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000002-22i−2i2-22i−2i22-2-22i2i−2i−2i0022-2-22i2i−2i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2600000000000000
χ272-22i−2i-11−ii22-2-22i2i−2i−2i00-1-111−i−iii2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ410000002-22i−2i-11−ii22-2-22i2i−2i−2i00-1-111−i−iii2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41000000
χ282-22i−2i-11−ii22-2-22i2i−2i−2i00-1-111−i−iii2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ410000002-22i−2i-11−ii22-2-22i2i−2i−2i00-1-111−i−iii2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000000000−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41000000
χ292-22i−2i-11−ii22-2-22i2i−2i−2i00-1-111−i−iii−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ290000002-22i−2i-11−ii22-2-22i2i−2i−2i00-1-111−i−iii−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29000000
χ302-22i−2i-11−ii22-2-22i2i−2i−2i00-1-111−i−iii−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ290000002-22i−2i-11−ii22-2-22i2i−2i−2i00-1-111−i−iii−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000000000ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29000000
χ312-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000002-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000000000
χ322-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000002-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600000000000000
χ332-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ470000002-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47000000
χ342-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ470000002-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47000000
χ352-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ430000002-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43000000
χ362-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ430000002-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43000000
χ37444444441-21-21-21-2441-21-21-21-2000011-2-211-2-20000000000000000000000444444441-21-21-21-2441-21-21-21-2000011-2-211-2-20000000000000000000000
χ38444444441-21-21-21-2-4-41-21-21-21-20000-1-122-1-1220000000000000000000000444444441-21-21-21-2-4-41-21-21-21-20000-1-122-1-1220000000000000000000000
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χ912-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000000000-222i−2i-222i−2i-2-2222i2i−2i−2i00-2-2222i2i−2i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600000000000000
χ922-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600000000000000-222i−2i-222i−2i-2-2222i2i−2i−2i00-2-2222i2i−2i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000000000
χ932-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47000000-222i−2i1-1−ii-2-2222i2i−2i−2i0011-1-1−i−iii2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47000000
χ942-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47000000-222i−2i1-1−ii-2-2222i2i−2i−2i0011-1-1−i−iii2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47000000
χ952-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43000000-222i−2i1-1−ii-2-2222i2i−2i−2i0011-1-1−i−iii−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43000000
χ962-2−2i2i-11i−i22-2-2−2i−2i2i2i00-1-111ii−i−i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000000000−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43000000-222i−2i1-1−ii-2-2222i2i−2i−2i0011-1-1−i−iii−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000000000ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43000000
χ97444444441-21-21-21-2441-21-21-21-2000011-2-211-2-20000000000000000000000-4-4-4-4-4-4-4-4-12-12-12-12-4-4-12-12-12-120000-1-122-1-1220000000000000000000000
χ98444444441-21-21-21-2-4-41-21-21-21-20000-1-122-1-1220000000000000000000000-4-4-4-4-4-4-4-4-12-12-12-1244-12-12-12-12000011-2-211-2-20000000000000000000000
χ9944444444-21-21-21-2144-21-21-21-210000-2-211-2-2110000000000000000000000-4-4-4-4-4-4-4-42-12-12-12-1-4-42-12-12-12-1000022-1-122-1-10000000000000000000000
χ10044444444-21-21-21-21-4-4-21-21-21-21000022-1-122-1-10000000000000000000000-4-4-4-4-4-4-4-42-12-12-12-1442-12-12-12-10000-2-211-2-2110000000000000000000000
χ10144-4-444-4-41-21-2-12-124-41-21-2-12-12000011-2-2-1-1220000000000000000000000-4-444-4-444-12-121-21-2-44-12-121-21-20000-1-12211-2-20000000000000000000000
χ10244-4-444-4-41-21-2-12-12-441-21-2-12-120000-1-12211-2-20000000000000000000000-4-444-4-444-12-121-21-24-4-12-121-21-2000011-2-2-1-1220000000000000000000000
χ10344-4-444-4-4-21-212-12-14-4-21-212-12-10000-2-21122-1-10000000000000000000000-4-444-4-4442-12-1-21-21-442-12-1-21-21000022-1-1-2-2110000000000000000000000
χ10444-4-444-4-4-21-212-12-1-44-21-212-12-1000022-1-1-2-2110000000000000000000000-4-444-4-4442-12-1-21-214-42-12-1-21-210000-2-21122-1-10000000000000000000000
χ1054-44i−4i4-44i−4i1-2-12i−2i−i2i001-2-12i−2i−i2i00003-3003i−3i000000000000000000000000-44−4i4i-44−4i4i-121-2−i2ii−2i00-121-2−i2ii−2i0000-3300−3i3i000000000000000000000000
χ1064-44i−4i4-44i−4i1-2-12i−2i−i2i001-2-12i−2i−i2i0000-3300−3i3i000000000000000000000000-44−4i4i-44−4i4i-121-2−i2ii−2i00-121-2−i2ii−2i00003-3003i−3i000000000000000000000000
χ1074-44i−4i4-44i−4i-212-1−2ii2i−i00-212-1−2ii2i−i0000003-3003i−3i0000000000000000000000-44−4i4i-44−4i4i2-1-212i−i−2ii002-1-212i−i−2ii000000-3300−3i3i0000000000000000000000
χ1084-44i−4i4-44i−4i-212-1−2ii2i−i00-212-1−2ii2i−i000000-3300−3i3i0000000000000000000000-44−4i4i-44−4i4i2-1-212i−i−2ii002-1-212i−i−2ii0000003-3003i−3i0000000000000000000000
χ1094-4−4i4i4-4−4i4i1-2-12−i2ii−2i001-2-12−i2ii−2i00003-300−3i3i000000000000000000000000-444i−4i-444i−4i-121-2i−2i−i2i00-121-2i−2i−i2i0000-33003i−3i000000000000000000000000
χ1104-4−4i4i4-4−4i4i1-2-12−i2ii−2i001-2-12−i2ii−2i0000-33003i−3i000000000000000000000000-444i−4i-444i−4i-121-2i−2i−i2i00-121-2i−2i−i2i00003-300−3i3i000000000000000000000000
χ1114-4−4i4i4-4−4i4i-212-12i−i−2ii00-212-12i−i−2ii0000003-300−3i3i0000000000000000000000-444i−4i-444i−4i2-1-21−2ii2i−i002-1-21−2ii2i−i000000-33003i−3i0000000000000000000000
χ1124-4−4i4i4-4−4i4i-212-12i−i−2ii00-212-12i−i−2ii000000-33003i−3i0000000000000000000000-444i−4i-444i−4i2-1-21−2ii2i−i002-1-21−2ii2i−i0000003-300−3i3i0000000000000000000000
χ1138888-4-4-4-42-42-42-42-400-12-12-12-120000000000000000000000000000000000-8-8-8-84444-24-24-24-24001-21-21-21-20000000000000000000000000000000000
χ1148888-4-4-4-4-42-42-42-42002-12-12-12-10000000000000000000000000000000000-8-8-8-844444-24-24-24-200-21-21-21-210000000000000000000000000000000000
χ11588-8-8-4-4442-42-4-24-2400-12-121-21-20000000000000000000000000000000000-8-88844-4-4-24-242-42-4001-21-2-12-120000000000000000000000000000000000
χ11688-8-8-4-444-42-424-24-2002-12-1-21-210000000000000000000000000000000000-8-88844-4-44-24-2-42-4200-21-212-12-10000000000000000000000000000000000
χ1178-88i−8i-44−4i4i2-4-242i−4i−2i4i00-121-2−i2ii−2i0000000000000000000000000000000000-88−8i8i4-44i−4i-242-4−2i4i2i−4i001-2-12i−2i−i2i0000000000000000000000000000000000
χ1188-88i−8i-44−4i4i-424-2−4i2i4i−2i002-1-212i−i−2ii0000000000000000000000000000000000-88−8i8i4-44i−4i4-2-424i−2i−4i2i00-212-1−2ii2i−i0000000000000000000000000000000000
χ1198-8−8i8i-444i−4i2-4-24−2i4i2i−4i00-121-2i−2i−i2i0000000000000000000000000000000000-888i−8i4-4−4i4i-242-42i−4i−2i4i001-2-12−i2ii−2i0000000000000000000000000000000000
χ1208-8−8i8i-444i−4i-424-24i−2i−4i2i002-1-21−2ii2i−i0000000000000000000000000000000000-888i−8i4-4−4i4i4-2-42−4i2i4i−2i00-212-12i−i−2ii0000000000000000000000000000000000

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