Finite Group Databasebeta

← Group #10950889

Character table — Group #10950889

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222222222224444444444444444444444444444444444444466661212121212121212121212121212161616163232323248484848
order12223444444666888888881212121212121616161616161616242424242424242448484848484848484848484848484848444424888816161616161616164444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ911111-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11-11-11-11-11-1
χ1011111-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-11-11-11-11
χ1111111-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-11-11-1-11-11
χ1211111-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-11-111-11-1
χ1311111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111-1-111-1-11-111-1
χ1411111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-111-1-111-11-1-11
χ1511111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-11-1-111-1-111-1-11
χ1611111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-111-1-111-1-111-1
χ1722222222222222-2-2-2-2-2-2-2-222222200000000-2-2-2-2-2-2-2-20000000000000000222222-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-222222200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2222200000000000000000000
χ192222222-2-2-2-222200000000-2-222-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−222-2-22-2000022−2−222−2−2000000000000
χ202222222-2-2-2-222200000000-2-222-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−2-2-222-220000−2−222−2−222000000000000
χ212222222-2-2-2-222200000000-2-222-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−2222222-2-22-20000−2−222−2−222000000000000
χ222222222-2-2-2-222200000000-2-222-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−22222-2-222-22000022−2−222−2−2000000000000
χ2322222-2-222-2-22220000000022-2-2-2-222−2−2−2−222000000002222−2−2−2−2−2−2−2−2222222-2-2-22000022−2−2−2−222000000000000
χ2422222-2-222-2-22220000000022-2-2-2-222−2−2−2−222000000002222−2−2−2−2−2−2−2−22222-2-2222-20000−2−22222−2−2000000000000
χ2522222-2-222-2-22220000000022-2-2-2-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−222-2-2-220000−2−22222−2−2000000000000
χ2622222-2-222-2-22220000000022-2-2-2-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−2-2-2222-2000022−2−2−2−222000000000000
χ2722222-2-2-2-2222222222-2-2-2-2-2-2-2-222000000002222-2-2-2-200000000000000002222-2-2-2-22200000000000000000000
χ2822222-2-2-2-2222222222-2-2-2-2-2-2-2-222000000002222-2-2-2-20000000000000000-2-2-2-22222-2-200000000000000000000
χ292222-1222222-1-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-10000
χ302222-1222222-1-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-211110000
χ312222-1222222-1-1-122222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000022-2-2-1-1110000
χ322222-1222222-1-1-122222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-22211-1-10000
χ332222-1-2-2-2-222-1-1-1-2-2-2-222221111-1-12222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000002-22-2-11-110000
χ342222-1-2-2-2-222-1-1-1-2-2-2-222221111-1-12222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000-22-221-11-10000
χ352222-1-2-2-2-222-1-1-1-2-2-2-222221111-1-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000002-2-22-111-10000
χ362222-1-2-2-2-222-1-1-1-2-2-2-222221111-1-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000-222-21-1-110000
χ372-2-22200002-2-22-2000022-2-200002-200002i−2i2i−2i000022-2-2000000002i2i−2i−2i2i2i−2i−2i2i−2i2i−2i002i−2i0000002-22-2000000000000
χ382-2-22200002-2-22-2000022-2-200002-200002i−2i2i−2i000022-2-2000000002i2i−2i−2i2i2i−2i−2i−2i2i−2i2i00−2i2i000000-22-22000000000000
χ392-2-22200002-2-22-2000022-2-200002-20000−2i2i−2i2i000022-2-200000000−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i002i−2i000000-22-22000000000000
χ402-2-22200002-2-22-2000022-2-200002-20000−2i2i−2i2i000022-2-200000000−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i00−2i2i0000002-22-2000000000000
χ412-2-22200002-2-22-20000-2-22200002-22i−2i2i−2i00000000-2-2222i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i00−2i2i002-22-20000000000000000
χ422-2-22200002-2-22-20000-2-22200002-22i−2i2i−2i00000000-2-2222i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i002i−2i00-22-220000000000000000
χ432-2-22200002-2-22-20000-2-22200002-2−2i2i−2i2i00000000-2-222−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i00−2i2i00-22-220000000000000000
χ442-2-22200002-2-22-20000-2-22200002-2−2i2i−2i2i00000000-2-222−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i002i−2i002-22-20000000000000000
χ452-2-2220000-22-22-222-2-200000000-22−i2i2i2−i2−i2i2i2−i222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22i−2i−2i2i00002i−2i−222−2−222−2000000000000
χ462-2-2220000-22-22-222-2-200000000-22−i2i2i2−i2−i2i2i2−i222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i0000−2i2i2−2−222−2−22000000000000
χ472-2-2220000-22-22-222-2-200000000-22i2−i2−i2i2i2−i2−i2i222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22i−2i−2i2i00002i−2i2−2−222−2−22000000000000
χ482-2-2220000-22-22-222-2-200000000-22i2−i2−i2i2i2−i2−i2i222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i0000−2i2i−222−2−222−2000000000000
χ492-2-2220000-22-22-2-2-22200000000-22−i2i2i2−i2i2−i2−i2i2-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22i−2i−2i2i0000−2i2i−222−22−2−22000000000000
χ502-2-2220000-22-22-2-2-22200000000-22−i2i2i2−i2i2−i2−i2i2-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i00002i−2i2−2−22−222−2000000000000
χ512-2-2220000-22-22-2-2-22200000000-22i2−i2−i2i2−i2i2i2−i2-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22i−2i−2i2i0000−2i2i2−2−22−222−2000000000000
χ522-2-2220000-22-22-2-2-22200000000-22i2−i2−i2i2−i2i2i2−i2-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i00002i−2i−222−22−2−22000000000000
χ534444-2444444-2-2-2-4-4-4-4-4-4-4-4-2-2-2-2-2-200000000222222220000000000000000000000000000000000000000000000
χ544444-244-4-4-4-4-2-2-20000000022-2-2222222−22−222222−22−2200000000−2−2−2−22222−2−2−2−22222000000000000000000000000000000
χ554444-244-4-4-4-4-2-2-20000000022-2-222−22−222222−22−222222000000002222−2−2−2−22222−2−2−2−2000000000000000000000000000000
χ564444-2-4-444-4-4-2-2-200000000-2-222222222−22−22−22−22222200000000−2−2−2−222222222−2−2−2−2000000000000000000000000000000
χ574444-2-4-444-4-4-2-2-200000000-2-22222−22−2222222222−22−22000000002222−2−2−2−2−2−2−2−22222000000000000000000000000000000
χ584444-2-4-4-4-444-2-2-24444-4-4-4-42222-2-200000000-2-2-2-222220000000000000000000000000000000000000000000000
χ5944-4-444-40000-4-4422−2222−2222−2222−22004-4000000000022−2222−2222−2222−220000000000000000000000000000000000000000000000
χ6044-4-444-40000-4-44−2222−2222−2222−2222004-40000000000−2222−2222−2222−22220000000000000000000000000000000000000000000000
χ6144-4-44-440000-4-4422−2222−22−2222−222200-44000000000022−2222−22−2222−22220000000000000000000000000000000000000000000000
χ6244-4-44-440000-4-44−2222−222222−2222−2200-440000000000−2222−222222−2222−220000000000000000000000000000000000000000000000
χ6344-4-4-24-4000022-222−2222−2222−2222−2200-220000000000−22−22−22−22−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000000000000000000000000
χ6444-4-4-24-4000022-222−2222−2222−2222−2200-220000000000−22−22−22−22ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000000000000000000000000
χ6544-4-4-24-4000022-2−2222−2222−2222−222200-2200000000002−22−22−22−2−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000000000000000000000
χ6644-4-4-24-4000022-2−2222−2222−2222−222200-2200000000002−22−22−22−2ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000000000000000000000
χ6744-4-4-2-44000022-222−2222−22−2222−2222002-20000000000−22−222−22−2−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000000000000000000000
χ6844-4-4-2-44000022-222−2222−22−2222−2222002-20000000000−22−222−22−2ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000000000000000000000
χ6944-4-4-2-44000022-2−2222−222222−2222−22002-200000000002−22−2−22−22−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000000000000000000000000
χ7044-4-4-2-44000022-2−2222−222222−2222−22002-200000000002−22−2−22−22ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000000000000000000000000
χ714-44-44004-4004-4-422−22−222222−22−22224-400000000000022−22−222222−22−22220000000000000000000000000000000000000000000000
χ724-44-44004-4004-4-4−222222−22−222222−224-4000000000000−222222−22−222222−220000000000000000000000000000000000000000000000
χ734-44-4400-44004-4-422−22−2222−222222−22-4400000000000022−22−2222−222222−220000000000000000000000000000000000000000000000
χ744-44-4400-44004-4-4−222222−2222−22−2222-44000000000000−222222−2222−22−22220000000000000000000000000000000000000000000000
χ754-44-4-2004-400-22222−22−222222−22−2222-22000000000000−222−2−222−2−ζ11−ζ13+ζ29+ζ43ζ11+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+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000000000000000000000000000000
χ764-44-4-2004-400-22222−22−222222−22−2222-22000000000000−222−2−222−2ζ11+ζ13−ζ29−ζ43−ζ11−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−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000000000000000000000000000000
χ774-44-4-2004-400-222−222222−22−222222−22-220000000000002−2−222−2−22−ζ25+ζ31+ζ41−ζ47ζ25−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−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000000000000000000000000000000
χ784-44-4-2004-400-222−222222−22−222222−22-220000000000002−2−222−2−22ζ25−ζ31−ζ41+ζ47−ζ25+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+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000000000000000000000000000000
χ794-44-4-200-4400-22222−22−2222−222222−222-2000000000000−222−22−2−22−ζ25+ζ31+ζ41−ζ47ζ25−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+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000000000000000000000000000000
χ804-44-4-200-4400-22222−22−2222−222222−222-2000000000000−222−22−2−22ζ25−ζ31−ζ41+ζ47−ζ25+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−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000000000000000000000000000000
χ814-44-4-200-4400-222−222222−2222−22−22222-20000000000002−2−22−222−2−ζ11−ζ13+ζ29+ζ43ζ11+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−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000000000000000000000000000000
χ824-44-4-200-4400-222−222222−2222−22−22222-20000000000002−2−22−222−2ζ11+ζ13−ζ29−ζ43−ζ11−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+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000000000000000000000000000000
χ834-4-44-200004-42-22000044-4-40000-2200004i−4i4i−4i0000-2-22200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ844-4-44-200004-42-22000044-4-40000-220000−4i4i−4i4i0000-2-222000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ854-4-44-200004-42-220000-4-4440000-224i−4i4i−4i0000000022-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ864-4-44-200004-42-220000-4-4440000-22−4i4i−4i4i0000000022-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ874-4-44-20000-442-2244-4-4000000002-2−2i22i22i2−2i2−2i22i22i2−2i2-2-2220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000000000
χ884-4-44-20000-442-2244-4-4000000002-22i2−2i2−2i22i22i2−2i2−2i22i2-2-2220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000000000
χ894-4-44-20000-442-22-4-444000000002-2−2i22i22i2−2i22i2−2i2−2i22i222-2-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000000000
χ904-4-44-20000-442-22-4-444000000002-22i2−2i2−2i22i2−2i22i22i2−2i222-2-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000000000

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