Finite Group Databasebeta

← Group #13136955

Character table — Group #13136955

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111111112222224444449999999999991212121212121212181818181818181818181818181818181818181818181818181818181818242424242424242424242424363636363636363636363636363636363636
order123344661212121224661212246612128888242424242424242433661212121288161616161616161624242424484848484848484848484848484848486666661212121212128816161616242424244848484848484848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111111111-1-1ii−i−i-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111111111-1-1−i−iii-1-1-1-1−i−i−i−iiiii
χ5111111111111111111-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111-1-1-1-111−i−iii1111−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111-1-1-1-111ii−i−i1111iiii−i−i−i−i
χ91111-1-111-1-1-1-1-11-1-1111-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26-1-1111111-1-1-1-1i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ101111-1-111-1-1-1-1-11-1-1111-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26-1-1111111-1-1-1-1i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ111111-1-111-1-1-1-1-11-1-1111-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46-1-1111111-1-1-1-1−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ121111-1-111-1-1-1-1-11-1-1111-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46-1-1111111-1-1-1-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ131111-1-111-1-1-1-1-11-1-111-11-1-111ii−i−iiiii−i−i−i−i1111-1-1-1-1i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26-1-1-1-1-1-1111111−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ141111-1-111-1-1-1-1-11-1-111-11-1-111ii−i−iiiii−i−i−i−i1111-1-1-1-1i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26-1-1-1-1-1-1111111−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−i−iiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ151111-1-111-1-1-1-1-11-1-111-11-1-111−i−iii−i−i−i−iiiii1111-1-1-1-1−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46-1-1-1-1-1-1111111i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ii−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ161111-1-111-1-1-1-1-11-1-111-11-1-111−i−iii−i−i−i−iiiii1111-1-1-1-1−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46-1-1-1-1-1-1111111i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ii−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ17222222222222-2-2-2-2-2-200000022222222222222222222-2-200000000-2-2-2-20000000000000000-2-20000-2-20000000000000000000000
χ18222222222222-2-2-2-2-2-2000000-2-2-2-2-2-2-2-2-2-2-2-222222222220000000022220000000000000000-2-20000-2-20000000000000000000000
χ192222-2-222-2-2-2-22-222-2-20000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2222-2-2-2-2−2i2i00000000−2i−2i2i2i0000000000000000220000-2-20000000000000000000000
χ202222-2-222-2-2-2-22-222-2-2000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2222-2-2-2-22i−2i000000002i2i−2i−2i0000000000000000220000-2-20000000000000000000000
χ212-2222i−2i-2-22i2i−2i−2i0000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ2622-2-22i2i−2i−2i00−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ470000−ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13−ζ25+ζ29−ζ41ζ11+ζ31+ζ43+ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11+ζ31−ζ43+ζ47000000000000000000000000000000
χ222-2222i−2i-2-22i2i−2i−2i0000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ2622-2-22i2i−2i−2i00ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ470000ζ13+ζ25+ζ29+ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13+ζ25−ζ29+ζ41−ζ11−ζ31−ζ43−ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11−ζ31+ζ43−ζ47000000000000000000000000000000
χ232-2222i−2i-2-22i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ2622-2-22i2i−2i−2i00−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ470000−ζ13+ζ25−ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29−ζ41ζ11−ζ31+ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47ζ11+ζ31+ζ43+ζ47000000000000000000000000000000
χ242-2222i−2i-2-22i2i−2i−2i000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ2622-2-22i2i−2i−2i00ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ470000ζ13−ζ25+ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41ζ13+ζ25+ζ29+ζ41−ζ11+ζ31−ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47−ζ11−ζ31−ζ43−ζ47000000000000000000000000000000
χ252-222−2i2i-2-2−2i−2i2i2i000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ4622-2-2−2i−2i2i2i00ζ11+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−ζ410000ζ11+ζ31+ζ43+ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47−ζ11−ζ31−ζ43−ζ47ζ11−ζ31+ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11+ζ31−ζ43+ζ47−ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41ζ13+ζ25+ζ29+ζ41−ζ13+ζ25−ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13−ζ25+ζ29−ζ41000000000000000000000000000000
χ262-222−2i2i-2-2−2i−2i2i2i000000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ4622-2-2−2i−2i2i2i00−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−ζ11−ζ31−ζ43−ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47ζ11+ζ31+ζ43+ζ47−ζ11+ζ31−ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11−ζ31+ζ43−ζ47ζ13+ζ25+ζ29+ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29−ζ41ζ13−ζ25+ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13+ζ25−ζ29+ζ41000000000000000000000000000000
χ272-222−2i2i-2-2−2i−2i2i2i0000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ4622-2-2−2i−2i2i2i00ζ11−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−ζ410000ζ11−ζ31+ζ43−ζ47ζ11−ζ31+ζ43−ζ47−ζ11+ζ31−ζ43+ζ47−ζ11+ζ31−ζ43+ζ47−ζ11−ζ31−ζ43−ζ47−ζ11−ζ31−ζ43−ζ47ζ11+ζ31+ζ43+ζ47ζ11+ζ31+ζ43+ζ47−ζ13+ζ25−ζ29+ζ41−ζ13+ζ25−ζ29+ζ41ζ13−ζ25+ζ29−ζ41ζ13−ζ25+ζ29−ζ41ζ13+ζ25+ζ29+ζ41ζ13+ζ25+ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29−ζ41000000000000000000000000000000
χ282-222−2i2i-2-2−2i−2i2i2i0000000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ4622-2-2−2i−2i2i2i00−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+ζ410000−ζ11+ζ31−ζ43+ζ47−ζ11+ζ31−ζ43+ζ47ζ11−ζ31+ζ43−ζ47ζ11−ζ31+ζ43−ζ47ζ11+ζ31+ζ43+ζ47ζ11+ζ31+ζ43+ζ47−ζ11−ζ31−ζ43−ζ47−ζ11−ζ31−ζ43−ζ47ζ13−ζ25+ζ29−ζ41ζ13−ζ25+ζ29−ζ41−ζ13+ζ25−ζ29+ζ41−ζ13+ζ25−ζ29+ζ41−ζ13−ζ25−ζ29−ζ41−ζ13−ζ25−ζ29−ζ41ζ13+ζ25+ζ29+ζ41ζ13+ζ25+ζ29+ζ41000000000000000000000000000000
χ2933−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ4400000000000011ii−i−i−1−i32−1+i32−1−i32−1+i32ζ28ζ44ζ28ζ44−ζ28−ζ44−ζ28−ζ44
χ3033−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ4400000000000011−i−iii−1−i32−1+i32−1−i32−1+i32−ζ28−ζ44−ζ28−ζ44ζ28ζ44ζ28ζ44
χ3133−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1111111111+i321−i321+i321−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−i32000000000000-1-111111+i321−i321+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ3233−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ3333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44000000000000-1-1−i−iii1+i321−i321+i321−i32−ζ28−ζ44−ζ28−ζ44ζ28ζ44ζ28ζ44
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χ3633−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32000000000000111111−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
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χ4633−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ2800000000000011−i−iii−1+i32−1−i32−1+i32−1−i32−ζ44−ζ28−ζ44−ζ28ζ44ζ28ζ44ζ28
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χ4833−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32000000000000-1-1-1-1-1-11−i321+i321−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32
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χ5033−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28−ζ44−ζ28ζ44ζ28ζ44ζ28ζ44ζ28ζ44ζ28000000000000-1-1ii−i−i1−i321+i321−i321+i32ζ44ζ28ζ44ζ28−ζ44−ζ28−ζ44−ζ28
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χ6033−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333−3i323+3i32−3+3i32−3−3i32-333−3i323+3i32−3+3i32−3−3i32−i−iii−ζ28−ζ44−ζ28−ζ44ζ28ζ44ζ28ζ4400000000−ii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ28−ζ44ζ28ζ44ζ14ζ46ζ14ζ46−ζ14−ζ46−ζ14−ζ46−ζ26−ζ10−ζ26−ζ10ζ26ζ10ζ26ζ10000000000000i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ28ζ44−ζ28−ζ44−ζ14−ζ46ζ14ζ46ζ26ζ10−ζ26−ζ10
χ614444444444444444444444440000000000001-21-21-21-20000000000000000000000000000001-211-2-21-211-2-2000000000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.