Finite Group Databasebeta

← Group #67765

Character table — Group #67765

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111111122222222222222222222444444444444666666666666666688888888888824242424
order1222444434444666888888881212121212121212242424242424242416161616161616161616161616161616444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1ii−i−i
χ61111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-11111−i−iii
χ71111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−iii
χ81111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-11111ii−i−i
χ91-11-1i−ii−i1i−i1-1-11-111-1-1ii−i−iii−i−ii−i1-111-1-1ii−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+ζ261-1i−i11-1-1ii−i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ101-11-1i−ii−i1i−i1-1-11-111-1-1ii−i−iii−i−ii−i1-111-1-1ii−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+ζ26-11−ii-1-111−i−iii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ111-11-1i−ii−i1i−i1-1-11-111-1-1ii−i−iii−i−ii−i1-111-1-1ii−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−ζ261-1i−i11-1-1ii−i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ121-11-1i−ii−i1i−i1-1-11-111-1-1ii−i−iii−i−ii−i1-111-1-1ii−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−ζ26-11−ii-1-111−i−iiiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ131-11-1−ii−ii1−ii1-1-11-111-1-1−i−iii−i−iii−ii1-111-1-1−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−ζ461-1−ii11-1-1−i−iii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ141-11-1−ii−ii1−ii1-1-11-111-1-1−i−iii−i−iii−ii1-111-1-1−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−ζ46-11i−i-1-111ii−i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ151-11-1−ii−ii1−ii1-1-11-111-1-1−i−iii−i−iii−ii1-111-1-1−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+ζ461-1−ii11-1-1−i−iiiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ161-11-1−ii−ii1−ii1-1-11-111-1-1−i−iii−i−iii−ii1-111-1-1−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+ζ46-11i−i-1-111ii−i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ172222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ18222222222-2-2-2-2222000000002222-2-2-2-20000000022−2−222−2−222−2−222−2−20000000000000000
χ19222222222-2-2-2-2222000000002222-2-2-2-200000000−2−222−2−222−2−222−2−2220000000000000000
χ2022222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2122222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2222222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2322222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ242222-2-2-2-2222-2-222200000000-2-2-2-222-2-200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ252222-2-2-2-2222-2-222200000000-2-2-2-222-2-200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ262222-2-2-2-22-2-222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000000000
χ272222-2-2-2-2-1-2-222-1-1-12222-2-2-2-2111111-1-1-1-1-1-11111000000000000000022-2-2-1-1-1-111110000
χ282222-2-2-2-2-1-2-222-1-1-12222-2-2-2-2111111-1-1-1-1-1-111110000000000000000-2-2221111-1-1-1-10000
χ292222-2-2-2-2-1-2-222-1-1-1-2-2-2-22222111111-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ302222-2-2-2-2-1-2-222-1-1-1-2-2-2-22222111111-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ3122-2-222-2-2200002-2-22−22−22−22−22-22-200002−22−22−22−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000000000000000
χ3222-2-222-2-2200002-2-22−22−22−22−22-22-200002−22−22−22−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000000000000000
χ3322-2-222-2-2200002-2-2−22−22−22−222-22-20000−22−22−22−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000000000000
χ3422-2-222-2-2200002-2-2−22−22−22−222-22-20000−22−22−22−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000000000000
χ3522-2-2-2-222200002-2-22−22−2−22−22-22-2200002−22−2−22−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000000000
χ3622-2-2-2-222200002-2-22−22−2−22−22-22-2200002−22−2−22−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000000000
χ3722-2-2-2-222200002-2-2−22−222−22−2-22-220000−22−222−22−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000000000
χ3822-2-2-2-222200002-2-2−22−222−22−2-22-220000−22−222−22−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000000000
χ392-22-22i−2i2i−2i22i−2i2-2-22-2-2-222−2i−2i2i2i2i2i−2i−2i2i−2i2-2-2-222−2i−2i2i2i00000000000000000000000000000000
χ402-22-22i−2i2i−2i2−2i2i-22-22-2000000002i2i−2i−2i−2i2i-22000000001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i0000000000000000
χ412-22-22i−2i2i−2i2−2i2i-22-22-2000000002i2i−2i−2i−2i2i-2200000000−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i0000000000000000
χ422-22-22i−2i2i−2i-12i−2i2-21-1122-2-22i2i−2i−2i−i−iii−ii-11-1-111−i−iii00000000000000002-22i−2i-1-111−i−iii0000
χ432-22-22i−2i2i−2i-12i−2i2-21-1122-2-22i2i−2i−2i−i−iii−ii-11-1-111−i−iii0000000000000000-22−2i2i11-1-1ii−i−i0000
χ442-22-22i−2i2i−2i-12i−2i2-21-11-2-222−2i−2i2i2i−i−iii−ii-1111-1-1ii−i−i00000000000000000000−i3i3i3−i33−3−330000
χ452-22-22i−2i2i−2i-12i−2i2-21-11-2-222−2i−2i2i2i−i−iii−ii-1111-1-1ii−i−i00000000000000000000i3−i3−i3i3−333−30000
χ462-22-2−2i2i−2i2i22i−2i-22-22-200000000−2i−2i2i2i2i−2i-22000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i0000000000000000
χ472-22-2−2i2i−2i2i22i−2i-22-22-200000000−2i−2i2i2i2i−2i-2200000000−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i0000000000000000
χ482-22-2−2i2i−2i2i2−2i2i2-2-22-2-2-2222i2i−2i−2i−2i−2i2i2i−2i2i2-2-2-2222i2i−2i−2i00000000000000000000000000000000
χ492-22-2−2i2i−2i2i-1−2i2i2-21-1122-2-2−2i−2i2i2iii−i−ii−i-11-1-111ii−i−i00000000000000002-2−2i2i-1-111ii−i−i0000
χ502-22-2−2i2i−2i2i-1−2i2i2-21-1122-2-2−2i−2i2i2iii−i−ii−i-11-1-111ii−i−i0000000000000000-222i−2i11-1-1−i−iii0000
χ512-22-2−2i2i−2i2i-1−2i2i2-21-11-2-2222i2i−2i−2iii−i−ii−i-1111-1-1−i−iii00000000000000000000−i3i3i3−i3−333−30000
χ522-22-2−2i2i−2i2i-1−2i2i2-21-11-2-2222i2i−2i−2iii−i−ii−i-1111-1-1−i−iii00000000000000000000i3−i3−i3i33−3−330000
χ532-2-222i−2i−2i2i20000-2-222−2−22i2−i2−i2i22i−2i−2i2i00002−2−22i2−i2−i2i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ470000000000000000
χ542-2-222i−2i−2i2i20000-2-222−2−22i2−i2−i2i22i−2i−2i2i00002−2−22i2−i2−i2i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ470000000000000000
χ552-2-222i−2i−2i2i20000-2-22−222−2−i2i2i2−i22i−2i−2i2i0000−222−2−i2i2i2−i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ430000000000000000
χ562-2-222i−2i−2i2i20000-2-22−222−2−i2i2i2−i22i−2i−2i2i0000−222−2−i2i2i2−i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ430000000000000000
χ572-2-22−2i2i2i−2i20000-2-222−2−22−i2i2i2−i2−2i2i2i−2i00002−2−22−i2i2i2−i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ430000000000000000
χ582-2-22−2i2i2i−2i20000-2-222−2−22−i2i2i2−i2−2i2i2i−2i00002−2−22−i2i2i2−i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ430000000000000000
χ592-2-22−2i2i2i−2i20000-2-22−222−2i2−i2−i2i2−2i2i2i−2i0000−222−2i2−i2−i2i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ470000000000000000
χ602-2-22−2i2i2i−2i20000-2-22−222−2i2−i2−i2i2−2i2i2i−2i0000−222−2i2−i2−i2i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ470000000000000000
χ6144444444-2-4-4-4-4-2-2-200000000-2-2-2-222220000000000000000000000000000000000000000
χ624444-4-4-4-4-244-4-4-2-2-2000000002222-2-2220000000000000000000000000000000000000000
χ6344-4-444-4-4-20000-22222−2222−2222−2222−22-22-220000−22−22−22−2200000000000000000000000000000000
χ6444-4-444-4-4-20000-222−2222−2222−2222−2222-22-2200002−22−22−22−200000000000000000000000000000000
χ6544-4-4-4-444-20000-22222−2222−22−2222−22222-22-20000−22−222−22−200000000000000000000000000000000
χ6644-4-4-4-444-20000-222−2222−222222−2222−222-22-200002−22−2−22−2200000000000000000000000000000000
χ674-44-44i−4i4i−4i-2−4i4i-442-2200000000−2i−2i2i2i2i−2i2-20000000000000000000000000000000000000000
χ684-44-4−4i4i−4i4i-24i−4i-442-22000000002i2i−2i−2i−2i2i2-20000000000000000000000000000000000000000
χ694-4-444i−4i−4i4i-2000022-222−22−22222i2−2i2−2i22i2−2i2i2i−2i0000−222−2−i2i2i2−i200000000000000000000000000000000
χ704-4-444i−4i−4i4i-2000022-2−222222−22−2i22i22i2−2i2−2i2i2i−2i00002−2−22i2−i2−i2i200000000000000000000000000000000
χ714-4-44−4i4i4i−4i-2000022-222−22−2222−2i22i22i2−2i22i−2i−2i2i0000−222−2i2−i2−i2i200000000000000000000000000000000
χ724-4-44−4i4i4i−4i-2000022-2−222222−222i2−2i2−2i22i22i−2i−2i2i00002−2−22−i2i2i2−i200000000000000000000000000000000

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