Finite Group Databasebeta

← Group #10713599

Character table — Group #10713599

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order1244222344466688881212121216161616161616166688121216161616242424242424242448484848484848484848484848484848444488881616161616161616444412121212121212122244
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
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-11-1
χ911-1-11-1-111-111-1-111-1-111-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i11-1-1
χ1011-1-11-1-111-111-1-111-1-111-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii-1-111
χ1111-1-11-1-111-111-1-111-1-111-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiiii−ii−iii−i−iii−i−i-1-111
χ1211-1-11-1-111-111-1-111-1-111-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−ii−ii−i−iii−i−iii11-1-1
χ1311-1-11-1-111-111-1-111-1-111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii1-1-11
χ1411-1-11-1-111-111-1-111-1-111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-111-1
χ1511-1-11-1-111-111-1-111-1-111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-111-1
χ1611-1-11-1-111-111-1-111-1-111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−i−iii−i−i−iiiii−i−i1-1-11
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
χ212222222-1222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-111110000
χ222222222-1222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-10000
χ2322222-2-22-22-22-2-20000-2-22222−2−222−2−22-2002-22−22−2000000002222−2−2−2−22222−2−2−2−22i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i20000000000000000
χ2422222-2-22-22-22-2-20000-2-22222−2−222−2−22-2002-22−22−2000000002222−2−2−2−22222−2−2−2−2−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i20000000000000000
χ2522222-2-22-22-22-2-20000-2-222−2−222−2−2222-2002-2−22−2200000000−2−2−2−22222−2−2−2−222222i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i20000000000000000
χ2622222-2-22-22-22-2-20000-2-222−2−222−2−2222-2002-2−22−2200000000−2−2−2−22222−2−2−2−22222−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i20000000000000000
χ272222-22-22-2-222-2-22222-2-22222222222-22-2-2-22-2-2-2-2-2-222-2-22222-2-222-2-222-2-222-2-200000000000000000000000000000000
χ282222-22-22-2-222-2-22222-2-222-2-2-2-2-2-2-2-2-22-2-2-222222-2-222-2-222-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ292222-22-22-2-222-2-2-2-2-2-2-2-22200000000-2222-22000022-2-222-2-20000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ302222-22-22-2-222-2-2-2-2-2-2-2-22200000000-2222-22000022-2-222-2-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ312222-22-2-1-2-22-111222211-1-1222222221-1-2-21-1-2-2-2-211-1-111-1-1-1-111-1-111-1-111-1-111000000000000000000003−33−33−33−30000
χ322222-22-2-1-2-22-111222211-1-1222222221-1-2-21-1-2-2-2-211-1-111-1-1-1-111-1-111-1-111-1-11100000000000000000000−33−33−33−330000
χ332222-22-2-1-2-22-111222211-1-1-2-2-2-2-2-2-2-21-1-2-21-1222211-1-111-1-111-1-111-1-111-1-111-1-1000000000000000000003−33−3−33−330000
χ342222-22-2-1-2-22-111222211-1-1-2-2-2-2-2-2-2-21-1-2-21-1222211-1-111-1-111-1-111-1-111-1-111-1-100000000000000000000−33−333−33−30000
χ352222-2-2222-2-22220000222222−2−222−2−2-2-200-2-2−22−220000000022−2−2−2−22222−2−2−2−22200002-22-22−2−222−2−220000000000000000
χ362222-2-2222-2-22220000222222−2−222−2−2-2-200-2-2−22−220000000022−2−2−2−22222−2−2−2−2220000-22-22−222−2−222−20000000000000000
χ372222-2-2222-2-222200002222−2−222−2−222-2-200-2-22−22−200000000−2−22222−2−2−2−22222−2−200002-22-2−222−2−222−20000000000000000
χ382222-2-2222-2-222200002222−2−222−2−222-2-200-2-22−22−200000000−2−22222−2−2−2−22222−2−20000-22-222−2−222−2−220000000000000000
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
χ4322-2-22-2-222-222-2-2-2-22222-2-2000000002-2-22-220000-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4422-2-22-2-222-222-2-2-2-22222-2-2000000002-2-22-220000-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4522-2-22-2-2-12-22-11122-2-2-1-1112222-2-2-2-2-112-21-122-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000000000002i−2i2i−2i−i−iii−i−iii0000
χ4622-2-22-2-2-12-22-11122-2-2-1-1112222-2-2-2-2-112-21-122-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ4722-2-22-2-2-12-22-11122-2-2-1-111-2-2-2-22222-112-21-1-2-222-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ4822-2-22-2-2-12-22-11122-2-2-1-111-2-2-2-22222-112-21-1-2-222-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ4922-2-2-22-2222-22-2-2000022-2-222−2−2−2−222-22002-2−222−20000000022−2−2−2−222−2−22222−2−200002i−2i−2i2ii2−i2−i2i2−i2i2i2−i20000000000000000
χ5022-2-2-22-2222-22-2-2000022-2-222−2−2−2−222-22002-2−222−20000000022−2−2−2−222−2−22222−2−20000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i20000000000000000
χ5122-2-2-22-2222-22-2-2000022-2-2−2−22222−2−2-22002-22−2−2200000000−2−22222−2−222−2−2−2−22200002i−2i−2i2i−i2i2i2−i2i2−i2−i2i20000000000000000
χ5222-2-2-22-2222-22-2-2000022-2-2−2−22222−2−2-22002-22−2−2200000000−2−22222−2−222−2−2−2−2220000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i20000000000000000
χ5322-2-2-2-222-22222222-2-2-2-2-2-22222-2-2-2-2-2-2-2222-2-222-2-2-2-2222222-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ5422-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-222222-2-2-2-2-2-22222-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ5522-2-2-2-222-222222-2-222-2-2-2-200000000-2-22-22200002222-2-2-2-20000000000000000000000002-22-2-22-220000000000000000
χ5622-2-2-2-222-222222-2-222-2-2-2-200000000-2-22-22200002222-2-2-2-2000000000000000000000000-22-222-22-20000000000000000
χ5722-2-2-2-22-1-222-1-1-122-2-211112222-2-2-2-211-22-1-1-2-2221111-1-1-1-1-1-111-1-11111-1-111-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ5822-2-2-2-22-1-222-1-1-122-2-211112222-2-2-2-211-22-1-1-2-2221111-1-1-1-1-1-111-1-11111-1-111-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ5922-2-2-2-22-1-222-1-1-122-2-21111-2-2-2-2222211-22-1-122-2-21111-1-1-1-111-1-111-1-1-1-111-1-11100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ6022-2-2-2-22-1-222-1-1-122-2-21111-2-2-2-2222211-22-1-122-2-21111-1-1-1-111-1-111-1-1-1-111-1-11100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ614444444-2444-2-2-2-4-4-4-4-2-2-2-200000000-2-2-4-4-2-2000022222222000000000000000000000000000000000000000000000000
χ6244444-4-4-2-44-4-222000022-2-22222−22−222222−22−22-2200-2222−2222−2200000000−2−2−2−22222−2−2−2−2222200000000000000000000000000000000
χ6344444-4-4-2-44-4-222000022-2-2−22−222222−22−222222-2200-22−2222−2222000000002222−2−2−2−22222−2−2−2−200000000000000000000000000000000
χ644444-44-4-2-4-44-222-4-4-4-422-2-2000000002-2442-20000-2-222-2-222000000000000000000000000000000000000000000000000
χ654444-4-44-24-4-4-2-2-20000-2-2-2-22222−22−222222−22−22220022−2222−222200000000−2−22222−2−2−2−22222−2−200000000000000000000000000000000
χ664444-4-44-24-4-4-2-2-20000-2-2-2-2−22−222222−22−22222222002222−2222−220000000022−2−2−2−22222−2−2−2−22200000000000000000000000000000000
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
χ6944-4-44-4-4-24-44-222-4-444-2-22200000000-22-442-2000022-2-2-2-222000000000000000000000000000000000000000000000000
χ7044-4-4-44-4-244-4-2220000-2-2222222−22−22−22−2222222-200-22−222222−2200000000−2−22222−2−222−2−2−2−22200000000000000000000000000000000
χ7144-4-4-44-4-244-4-2220000-2-222−22−2222222222−22−222-200-2222−22−22220000000022−2−2−2−222−2−22222−2−200000000000000000000000000000000
χ7244-4-4-4-44-2-444-2-2-2-4-444222200000000224-4-2-20000-2-2-2-22222000000000000000000000000000000000000000000000000
χ734-44i−4i0004000-40022−22−2i22i2004i−4i−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−4i0004000-40022−22−2i22i2004i−4i2ζ25−2ζ31+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−4i0004000-400−22222i2−2i2004i−4i2ζ11−2ζ13−2ζ29+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−4i0004000-400−22222i2−2i2004i−4i−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−4i000-20002−2i32i322−22−2i22i223−23−2i2i−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+2ζ4700000000006−6i2−i2i6−i6−22ζ25−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−4i000-20002−2i32i322−22−2i22i223−23−2i2i2ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700000000006−6i2−i2i6−i6−22−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−4i000-20002−2i32i3−22222i2−2i223−23−2i2i2ζ11−2ζ13−2ζ29+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+2ζ430000000000−66−i2i2−i6i62−2−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
χ804-44i−4i000-20002−2i32i3−22222i2−2i223−23−2i2i−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000−66−i2i2−i6i62−2ζ11−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
χ814-44i−4i000-200022i3−2i322−22−2i22i2−2323−2i2i−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+2ζ470000000000−66i2−i2−i6i6−22ζ25−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−4i000-200022i3−2i322−22−2i22i2−2323−2i2i2ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000−66i2−i2−i6i6−22−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−4i000-200022i3−2i3−22222i2−2i2−2323−2i2i2ζ11−2ζ13−2ζ29+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+2ζ4300000000006−6−i2i2i6−i62−2−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
χ844-44i−4i000-200022i3−2i3−22222i2−2i2−2323−2i2i−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300000000006−6−i2i2i6−i62−2ζ11−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
χ854-4−4i4i0004000-40022−222i2−2i200−4i4i−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
χ864-4−4i4i0004000-40022−222i2−2i200−4i4i2ζ25−2ζ31+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
χ874-4−4i4i0004000-400−2222−2i22i200−4i4i2ζ11−2ζ13−2ζ29+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
χ884-4−4i4i0004000-400−2222−2i22i200−4i4i−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
χ894-4−4i4i000-20002−2i32i322−222i2−2i2−23232i−2i−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000−66−i2i2i6−i6−22ζ25−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
χ904-4−4i4i000-20002−2i32i322−222i2−2i2−23232i−2i2ζ25−2ζ31+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+2ζ470000000000−66−i2i2i6−i6−22−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
χ914-4−4i4i000-20002−2i32i3−2222−2i22i2−23232i−2i2ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300000000006−6i2−i2−i6i62−2−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
χ924-4−4i4i000-20002−2i32i3−2222−2i22i2−23232i−2i−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+2ζ4300000000006−6i2−i2−i6i62−2ζ11−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
χ934-4−4i4i000-200022i3−2i322−222i2−2i223−232i−2i−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700000000006−6−i2i2−i6i6−22ζ25−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
χ944-4−4i4i000-200022i3−2i322−222i2−2i223−232i−2i2ζ25−2ζ31+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+2ζ4700000000006−6−i2i2−i6i6−22−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
χ954-4−4i4i000-200022i3−2i3−2222−2i22i223−232i−2i2ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000−66i2−i2i6−i62−2−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
χ964-4−4i4i000-200022i3−2i3−2222−2i22i223−232i−2i−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+2ζ430000000000−66i2−i2i6−i62−2ζ11−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.