Finite Group Databasebeta

← Group #13154939

Character table — Group #13154939

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222444444444444444444444444444444448888888812121212121212121212121212121212121212121212121212121212121212121212121218181818363636363636363636363636363636365454545454545454
order12448888361212242424243333666612121212121212122424242424242424242424242424242436121224242424246666666688121212121212121224242424242424242424242424242424248861216161616242448484848484848481616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111ii−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−iii-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-111ii−i−i-1-1iiii−i−i−i−i−i−i−i−iiiii
χ81111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-111−i−iii-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-1ii−i−i11-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i11-1-1ii−i−i1-111111111i−i-1-1-1-1-1-1-1-1ii−i−iiiiiii−i−i−i−i−i−i-11i−i-11ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26i−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−i11111111-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i11-1-1ii−i−i1-111111111i−i-1-1-1-1-1-1-1-1ii−i−iiiiiii−i−i−i−i−i−i-11i−i-11−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26i−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−i11111111-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i11-1-1ii−i−i-11-1-1-1-1-1-1-1-1−ii11111111−i−iii−i−i−i−i−i−iiiiiii-11i−i-11ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26i−iζ14+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−i11111111-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i11-1-1ii−i−i-11-1-1-1-1-1-1-1-1−ii11111111−i−iii−i−i−i−i−i−iiiiiii-11i−i-11−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26i−i−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−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii11-1-1−i−iii1-111111111−ii-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−iiiiiii-11−ii-11−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ii−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−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii11-1-1−i−iii1-111111111−ii-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−iiiiiii-11−ii-11ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−iiζ10+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−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii11-1-1−i−iii-11-1-1-1-1-1-1-1-1i−i11111111ii−i−iiiiiii−i−i−i−i−i−i-11−ii-11−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ii−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−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii11-1-1−i−iii-11-1-1-1-1-1-1-1-1i−i11111111ii−i−iiiiiii−i−i−i−i−i−i-11−ii-11ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ1722222222222222222222222222222222222222222222222222222222000000000000000000000000000000000000-2-2-2-2-2-20000-2-20000000000000000
χ1822222222-1-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-100−i3i300−i3−i3i3i300−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-2-2-2110000110000000000000000
χ1922222222-1-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-100i3−i300i3i3−i3−i300i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-2-2-2110000110000000000000000
χ2022222222-1-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-10000-1-10000000000000000
χ2122222222-1-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-21111-2-211-2-211111111-2-21111-2-211112222-1-10000-1-10000000000000000
χ222222-2-2-2-22222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000-2-222-2-20000220000000000000000
χ232222-2-2-2-2-1-1-1-1111122-1-122-1-12222-1-1-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1111100−i3i300−i3−i3i3i300−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-222110000-1-10000000000000000
χ242222-2-2-2-2-1-1-1-1111122-1-122-1-12222-1-1-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1111100i3−i300i3i3−i3−i300i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-222110000-1-10000000000000000
χ252222-2-2-2-2-1-1-1-1111122-1-122-1-12222-1-1-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1111122-1-122-1-1-1-1-2-2-1-122-1-1-1-11111-2-21111-2-2111122-2-2-1-10000110000000000000000
χ262222-2-2-2-2-1-1-1-1111122-1-122-1-12222-1-1-1-1-2-21111-2-21111-2-2-2-2-1-1-1-11111-2-211-2-211112211-2-21111-1-1-1-122-1-1-1-122-1-1-1-122-2-2-1-10000110000000000000000
χ2722-2-22i2i−2i−2i22-2-22i2i−2i−2i22222222-2-2-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i0000000000000000000000000000000000002-2−2i2i2-20000−2i2i0000000000000000
χ2822-2-22i2i−2i−2i-1-111−i−iii22-1-122-1-1-2-2-2-211112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i-1-111−i−iii00−i3i300−i3−i3i3i300i3−i300i3i3−i3−i33−3−330033−3−300−3−3332-2−2i2i-110000i−i0000000000000000
χ2922-2-22i2i−2i−2i-1-111−i−iii22-1-122-1-1-2-2-2-211112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i-1-111−i−iii00i3−i300i3i3−i3−i300−i3i300−i3−i3i3i3−333−300−3−3330033−3−32-2−2i2i-110000i−i0000000000000000
χ3022-2-22i2i−2i−2i-1-111−i−iii22-1-122-1-1-2-2-2-211112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i-1-111−i−iii2-2-1-122-1-1-1-12i−2i11-2-21111−i−iii2i2i−i−i−i−i−2i−2iiiii-222i−2i1-10000−ii0000000000000000
χ3122-2-22i2i−2i−2i-1-111−i−iii22-1-122-1-1-2-2-2-211112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i-1-111−i−iii-2211-2-21111−2i2i-1-122-1-1-1-1ii−i−i−2i−2iiiii2i2i−i−i−i−i-222i−2i1-10000−ii0000000000000000
χ3222-2-2−2i−2i2i2i22-2-2−2i−2i2i2i22222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i0000000000000000000000000000000000002-22i−2i2-200002i−2i0000000000000000
χ3322-2-2−2i−2i2i2i-1-111ii−i−i22-1-122-1-1-2-2-2-21111−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i-1-111ii−i−i00−i3i300−i3−i3i3i300i3−i300i3i3−i3−i3−333−300−3−3330033−3−32-22i−2i-110000−ii0000000000000000
χ3422-2-2−2i−2i2i2i-1-111ii−i−i22-1-122-1-1-2-2-2-21111−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i-1-111ii−i−i00i3−i300i3i3−i3−i300−i3i300−i3−i3i3i33−3−330033−3−300−3−3332-22i−2i-110000−ii0000000000000000
χ3522-2-2−2i−2i2i2i-1-111ii−i−i22-1-122-1-1-2-2-2-21111−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i-1-111ii−i−i2-2-1-122-1-1-1-1−2i2i11-2-21111ii−i−i−2i−2iiiii2i2i−i−i−i−i-22−2i2i1-10000i−i0000000000000000
χ3622-2-2−2i−2i2i2i-1-111ii−i−i22-1-122-1-1-2-2-2-21111−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i-1-111ii−i−i-2211-2-211112i−2i-1-122-1-1-1-1−i−iii2i2i−i−i−i−i−2i−2iiiii-22−2i2i1-10000i−i0000000000000000
χ372-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262222-2-2-2-22i−2i2i−2i2i2i−2i−2i2ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000000000000000000000000000000000000000000000000000−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+ζ47
χ382-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262222-2-2-2-22i−2i2i−2i2i2i−2i−2i2ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000000000000000000000000000000000000000000000000000ζ13+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−ζ47
χ392-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262222-2-2-2-22i−2i2i−2i2i2i−2i−2i−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2600000000000000000000000000000000000000000000000000000000−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+ζ47
χ402-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262222-2-2-2-22i−2i2i−2i2i2i−2i−2i−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2600000000000000000000000000000000000000000000000000000000ζ13−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−ζ47
χ412-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462222-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000000000000000000000000000000000000000000000000000ζ11+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−ζ41
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χ1074-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ464-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-21112-1-1-12i−2i−ii−i−iiiζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46-222i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460000i3−i3i3−i3i3−i300003−33−33−30000−ζ10+ζ26ζ10−ζ26−ζ10+ζ26ζ10−ζ26−ζ10+ζ26ζ10−ζ26ζ14−ζ46−ζ14+ζ46ζ14−ζ46−ζ14+ζ46ζ14−ζ46−ζ14+ζ460000000000000000000000000000
χ1084-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-222i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4644-2-2-4-422−4i4i−4i4i2i2i−2i−2i4ζ10+4ζ26−4ζ10−4ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−4ζ14−4ζ464ζ14+4ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ464ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-222i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460000000000000000000000000000000000000000000000000000000000000000
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χ1104-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-222i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46-21−1−3i32−1+3i322-11+3i321−3i322i−2i−iiζ28−2ζ44−2ζ28+ζ44−ζ28+2ζ442ζ28−ζ44ζ10+ζ26−ζ10−ζ26ζ10−2ζ26−2ζ10+ζ26−ζ10+2ζ262ζ10−ζ26−ζ14−ζ46ζ14+ζ462ζ14−ζ46−ζ14+2ζ46−2ζ14+ζ46ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ460000i3−i33−i32−3+i32−3−i323+i3200003−32ζ28+ζ44−2ζ28−ζ44−ζ28−2ζ44ζ28+2ζ440000−ζ10+ζ26ζ10−ζ262ζ10+ζ26−2ζ10−ζ26−ζ10−2ζ26ζ10+2ζ26ζ14−ζ46−ζ14+ζ46ζ14+2ζ46−ζ14−2ζ46−2ζ14−ζ462ζ14+ζ460000000000000000000000000000
χ1114-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-222i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46-21−1+3i32−1−3i322-11−3i321+3i322i−2i−ii−2ζ28+ζ44ζ28−2ζ442ζ28−ζ44−ζ28+2ζ44ζ10+ζ26−ζ10−ζ26−2ζ10+ζ26ζ10−2ζ262ζ10−ζ26−ζ10+2ζ26−ζ14−ζ46ζ14+ζ46−ζ14+2ζ462ζ14−ζ46ζ14−2ζ46−2ζ14+ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ460000−i3i33+i32−3−i32−3+i323−i320000−33ζ28+2ζ44−ζ28−2ζ44−2ζ28−ζ442ζ28+ζ440000ζ10−ζ26−ζ10+ζ26ζ10+2ζ26−ζ10−2ζ26−2ζ10−ζ262ζ10+ζ26−ζ14+ζ46ζ14−ζ462ζ14+ζ46−2ζ14−ζ46−ζ14−2ζ46ζ14+2ζ460000000000000000000000000000
χ1124-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-222i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46-21−1+3i32−1−3i322-11−3i321+3i322i−2i−ii−2ζ28+ζ44ζ28−2ζ442ζ28−ζ44−ζ28+2ζ44ζ10+ζ26−ζ10−ζ26−2ζ10+ζ26ζ10−2ζ262ζ10−ζ26−ζ10+2ζ26−ζ14−ζ46ζ14+ζ46−ζ14+2ζ462ζ14−ζ46ζ14−2ζ46−2ζ14+ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ461-1−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ460000i3−i3−3−i323+i323−i32−3+i3200003−3−ζ28−2ζ44ζ28+2ζ442ζ28+ζ44−2ζ28−ζ440000−ζ10+ζ26ζ10−ζ26−ζ10−2ζ26ζ10+2ζ262ζ10+ζ26−2ζ10−ζ26ζ14−ζ46−ζ14+ζ46−2ζ14−ζ462ζ14+ζ46ζ14+2ζ46−ζ14−2ζ460000000000000000000000000000
χ11388888888-4-4-4-4-4-4-4-42-4222-42222-4-42222-4-42222-4-422222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1148888-8-8-8-8-4-4-4-444442-4222-42222-4-4222244-2-2-2-244-2-2-2-2-2-2-2-2-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000
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χ11688-8-8−8i−8i8i8i-4-4444i4i−4i−4i2-4222-422-2-244-2-2-2-24i4i−2i−2i−2i−2i−4i−4i2i2i2i2i−2i−2i2i2i-1-111ii−i−i0000000000000000000000000000000000000000000000000000000000000000
χ1178-88i−8i8ζ14+8ζ46−8ζ14−8ζ46−8ζ10−8ζ268ζ10+8ζ26-44−4i4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ262-422-24-2-22i−2i−4i4i2i2i−2i−2i−4ζ14−4ζ464ζ14+4ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ464ζ10+4ζ26−4ζ10−4ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26-11−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ260000000000000000000000000000000000000000000000000000000000000000
χ1188-88i−8i−8ζ14−8ζ468ζ14+8ζ468ζ10+8ζ26−8ζ10−8ζ26-44−4i4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ262-422-24-2-22i−2i−4i4i2i2i−2i−2i4ζ14+4ζ46−4ζ14−4ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−4ζ10−4ζ264ζ10+4ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26-11−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ260000000000000000000000000000000000000000000000000000000000000000
χ1198-8−8i8i−8ζ10−8ζ268ζ10+8ζ268ζ14+8ζ46−8ζ14−8ζ46-444i−4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ462-422-24-2-2−2i2i4i−4i−2i−2i2i2i4ζ10+4ζ26−4ζ10−4ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−4ζ14−4ζ464ζ14+4ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46-11i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ460000000000000000000000000000000000000000000000000000000000000000
χ1208-8−8i8i8ζ10+8ζ26−8ζ10−8ζ26−8ζ14−8ζ468ζ14+8ζ46-444i−4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ462-422-24-2-2−2i2i4i−4i−2i−2i2i2i−4ζ10−4ζ264ζ10+4ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ264ζ14+4ζ46−4ζ14−4ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46-11i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ460000000000000000000000000000000000000000000000000000000000000000

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