Finite Group Databasebeta

← Group #10713602

Character table — Group #10713602

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order124422234446668888121212121616161616161616668812121616161624242424242424244848484848484848484848484848484844448888161616161616161622446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1
χ911-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−i
χ1011-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii−ii
χ1111-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii
χ1211-1-11-1-111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111-1-1-1-11111i−ii−i
χ1311-1-11-1-111-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ1411-1-11-1-111-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ1511-1-11-1-111-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ1611-1-11-1-111-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ1722222222222222-2-2-2-222220000000022-2-2220000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ1822222222222222-2-2-2-222220000000022-2-2220000-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ192222222-1222-1-1-12222-1-1-1-122222222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ202222222-1222-1-1-12222-1-1-1-122222222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ212222222-1222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-111-1-1110000
χ222222222-1222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-111-1-10000
χ2322222-2-22-22-22220000222222−2−222−2−2-2-200-2-22−22−2000000002222−2−2−2−22222−2−2−2−22i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i20000000000000000
χ2422222-2-22-22-22220000222222−2−222−2−2-2-200-2-22−22−2000000002222−2−2−2−22222−2−2−2−2−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i20000000000000000
χ2522222-2-22-22-222200002222−2−222−2−222-2-200-2-2−22−2200000000−2−2−2−22222−2−2−2−222222i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i20000000000000000
χ2622222-2-22-22-222200002222−2−222−2−222-2-200-2-2−22−2200000000−2−2−2−22222−2−2−2−22222−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i20000000000000000
χ272222-22-22-2-22-2-22222222-2-2222222222-2-2-2-22-2-2-2-2-2-222-2-22222-2-222-2-222-2-222-2-200000000000000000000000000000000
χ282222-22-22-2-22-2-22222222-2-2-2-2-2-2-2-2-2-22-2-2-2-222222-2-222-2-222-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ292222-22-22-2-22-2-22-2-2-2-222-2-2000000002-222-22000022-2-222-2-20000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ302222-22-22-2-22-2-22-2-2-2-222-2-2000000002-222-22000022-2-222-2-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ312222-22-2-1-2-2211-12222-1-11122222222-11-2-21-1-2-2-2-211-1-111-1-1-1-111-1-111-1-111-1-11100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ322222-22-2-1-2-2211-12222-1-11122222222-11-2-21-1-2-2-2-211-1-111-1-1-1-111-1-111-1-111-1-11100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ332222-22-2-1-2-2211-12222-1-111-2-2-2-2-2-2-2-2-11-2-21-1222211-1-111-1-111-1-111-1-111-1-111-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ342222-22-2-1-2-2211-12222-1-111-2-2-2-2-2-2-2-2-11-2-21-1222211-1-111-1-111-1-111-1-111-1-111-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ352222-2-2222-2-2-2-22000022-2-222−2−222−2−2-22002-2−22−220000000022−2−2−2−22222−2−2−2−22200002-22-22−2−222−2−220000000000000000
χ362222-2-2222-2-2-2-22000022-2-222−2−222−2−2-22002-2−22−220000000022−2−2−2−22222−2−2−2−2220000-22-22−222−2−222−20000000000000000
χ372222-2-2222-2-2-2-22000022-2-2−2−222−2−222-22002-22−22−200000000−2−22222−2−2−2−22222−2−200002-22-2−222−2−222−20000000000000000
χ382222-2-2222-2-2-2-22000022-2-2−2−222−2−222-22002-22−22−200000000−2−22222−2−2−2−22222−2−20000-22-222−2−222−2−220000000000000000
χ3922-2-22222-2-2-22220000-2-2-2-222−2−2−2−2222200-2-22−2−22000000002222−2−2−2−2−2−2−2−222222-2-220000−2−22222−2−20000000000000000
χ4022-2-22222-2-2-22220000-2-2-2-222−2−2−2−2222200-2-22−2−22000000002222−2−2−2−2−2−2−2−22222-222-2000022−2−2−2−2220000000000000000
χ4122-2-22222-2-2-22220000-2-2-2-2−2−22222−2−22200-2-2−222−200000000−2−2−2−222222222−2−2−2−22-2-22000022−2−2−2−2220000000000000000
χ4222-2-22222-2-2-22220000-2-2-2-2−2−22222−2−22200-2-2−222−200000000−2−2−2−222222222−2−2−2−2-222-20000−2−22222−2−20000000000000000
χ4322-2-22-2-222-22222-2-222-2-2-2-200000000-2-2-22220000-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4422-2-22-2-222-22222-2-222-2-2-2-200000000-2-2-22220000-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4522-2-22-2-2-12-22-1-1-122-2-211112222-2-2-2-2112-2-1-122-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ4622-2-22-2-2-12-22-1-1-122-2-211112222-2-2-2-2112-2-1-122-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ4722-2-22-2-2-12-22-1-1-122-2-21111-2-2-2-22222112-2-1-1-2-222-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ4822-2-22-2-2-12-22-1-1-122-2-21111-2-2-2-22222112-2-1-1-2-222-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ4922-2-2-22-2222-2-2-220000-2-22222−2−2−2−2222-2002-2−222−20000000022−2−2−2−222−2−22222−2−200002i−2i−2i2ii2−i2−i2i2−i2i2i2−i20000000000000000
χ5022-2-2-22-2222-2-2-220000-2-22222−2−2−2−2222-2002-2−222−20000000022−2−2−2−222−2−22222−2−20000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i20000000000000000
χ5122-2-2-22-2222-2-2-220000-2-222−2−22222−2−22-2002-22−2−2200000000−2−22222−2−222−2−2−2−22200002i−2i−2i2i−i2i2i2−i2i2−i2−i2i20000000000000000
χ5222-2-2-22-2222-2-2-220000-2-222−2−22222−2−22-2002-22−2−2200000000−2−22222−2−222−2−2−2−2220000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i20000000000000000
χ5322-2-2-2-222-222-2-2222-2-2-2-2222222-2-2-2-2-22-22-22-2-222-2-2-2-2222222-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ5422-2-2-2-222-222-2-2222-2-2-2-222-2-2-2-22222-22-22-2222-2-2-2-2-2-22222-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ5522-2-2-2-222-222-2-22-2-222-2-22200000000-222-2-2200002222-2-2-2-20000000000000000000000002-22-2-22-220000000000000000
χ5622-2-2-2-222-222-2-22-2-222-2-22200000000-222-2-2200002222-2-2-2-2000000000000000000000000-22-222-22-20000000000000000
χ5722-2-2-2-22-1-22211-122-2-211-1-12222-2-2-2-21-1-221-1-2-2221111-1-1-1-1-1-111-1-11111-1-111-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ5822-2-2-2-22-1-22211-122-2-211-1-12222-2-2-2-21-1-221-1-2-2221111-1-1-1-1-1-111-1-11111-1-111-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ5922-2-2-2-22-1-22211-122-2-211-1-1-2-2-2-222221-1-221-122-2-21111-1-1-1-111-1-111-1-1-1-111-1-11100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ6022-2-2-2-22-1-22211-122-2-211-1-1-2-2-2-222221-1-221-122-2-21111-1-1-1-111-1-111-1-1-1-111-1-11100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ614444444-2444-2-2-2-4-4-4-4-2-2-2-200000000-2-2-4-4-2-2000022222222000000000000000000000000000000000000000000000000
χ6244444-4-4-2-44-4-2-2-20000-2-2-2-22222−22−222222−22−2222002222−2222−2200000000−2−2−2−22222−2−2−2−2222200000000000000000000000000000000
χ6344444-4-4-2-44-4-2-2-20000-2-2-2-2−22−222222−22−222222220022−2222−2222000000002222−2−2−2−22222−2−2−2−200000000000000000000000000000000
χ644444-44-4-2-4-4422-2-4-4-4-4-2-22200000000-22442-20000-2-222-2-222000000000000000000000000000000000000000000000000
χ654444-4-44-24-4-422-20000-2-2222222−22−222222−22−222-200-22−2222−222200000000−2−22222−2−2−2−22222−2−200000000000000000000000000000000
χ664444-4-44-24-4-422-20000-2-222−22−222222−22−2222222-200-2222−2222−220000000022−2−2−2−22222−2−2−2−22200000000000000000000000000000000
χ6744-4-4444-2-4-4-4-2-2-2000022222222−22−22−22−222222-2-2002222−22−222200000000−2−2−2−222222222−2−2−2−200000000000000000000000000000000
χ6844-4-4444-2-4-4-4-2-2-200002222−22−2222222222−22−22-2-20022−222222−22000000002222−2−2−2−2−2−2−2−2222200000000000000000000000000000000
χ6944-4-44-4-4-24-44-2-2-2-4-44422220000000022-44-2-2000022-2-2-2-222000000000000000000000000000000000000000000000000
χ7044-4-4-44-4-244-422-2000022-2-22222−22−22−22−222222-2200-22−222222−2200000000−2−22222−2−222−2−2−2−22200000000000000000000000000000000
χ7144-4-4-44-4-244-422-2000022-2-2−22−2222222222−22−22-2200-2222−22−22220000000022−2−2−2−222−2−22222−2−200000000000000000000000000000000
χ7244-4-4-4-44-2-44422-2-4-44422-2-2000000002-24-42-20000-2-2-2-22222000000000000000000000000000000000000000000000000
χ734-44i−4i000400000-422−22−2i22i24i−4i00−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47000000000000−2i22i20022−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000000000000000000000000000
χ744-44i−4i000400000-422−22−2i22i24i−4i002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47000000000000−2i22i20022−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000000000000000000000000000
χ754-44i−4i000400000-4−22222i2−2i24i−4i002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000002i2−2i200−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000000000000000000000000000
χ764-44i−4i000400000-4−22222i2−2i24i−4i00−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000002i2−2i200−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000000000000000000000000000
χ774-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−23−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000i6−i6i2−i26−6−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000000
χ784-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−232ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000i6−i6i2−i26−6−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000000
χ794-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−232ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000−i6i6−i2i2−662−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000000
χ804-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−23−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000−i6i6−i2i2−662−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000000
χ814-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−2323−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000−i6i6i2−i2−66−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000000
χ824-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−23232ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000−i6i6i2−i2−66−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000000
χ834-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−23232ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000i6−i6−i2i26−62−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000000
χ844-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−2323−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000i6−i6−i2i26−62−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000000
χ854-4−4i4i000400000-422−222i2−2i2−4i4i00−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000002i2−2i20022−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000000000000000000000000000
χ864-4−4i4i000400000-422−222i2−2i2−4i4i002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000002i2−2i20022−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000000000000000000000000000
χ874-4−4i4i000400000-4−2222−2i22i2−4i4i002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43000000000000−2i22i200−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000000000000000000000000000
χ884-4−4i4i000400000-4−2222−2i22i2−4i4i00−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43000000000000−2i22i200−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000000000000000000000000000
χ894-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−2323−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000i6−i6−i2i2−66−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000000
χ904-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−23232ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000i6−i6−i2i2−66−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000000
χ914-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−23232ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000−i6i6i2−i26−62−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000000
χ924-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−2323−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000−i6i6i2−i26−62−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000000
χ934-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−23−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000−i6i6−i2i26−6−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000000
χ944-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−232ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000−i6i6−i2i26−6−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000000
χ954-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−232ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000i6−i6i2−i2−662−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000000
χ964-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−23−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000i6−i6i2−i2−662−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000000

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