Finite Group Databasebeta

← Group #10713597

Character table — Group #10713597

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order12224444223446668888888812121212661212161616161616161624242424242424244848484848484848484848484848484844448888161616161616161622446666121212128888
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
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1
χ91111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−i
χ101111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii−ii
χ111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii
χ121111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111-1-1-1-11111i−ii−i
χ131111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ141111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ151111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ161111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ172222222222222222-2-2-2-2-2-2-2-22222222200000000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222222200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ192222222222-122-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ202222222222-122-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ212222222222-122-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-111-1-1110000
χ222222222222-122-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-111-1-10000
χ2322222222-2-22-2-2222000000002222-2-2-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−200002-22-222−2−222−2−20000000000000000
χ2422222222-2-22-2-2222000000002222-2-2-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−20000-22-22−2−222−2−2220000000000000000
χ2522222222-2-22-2-2222000000002222-2-2-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−2222200002-22-2−2−222−2−2220000000000000000
χ2622222222-2-22-2-2222000000002222-2-2-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−222220000-22-2222−2−222−2−20000000000000000
χ272222-2-2-2-2222-2-222200000000-2-2-2-222-2-222−2−2−2−222000000002222−2−2−2−2−2−2−2−2222200002i−2i−2i2ii2i2−i2−i2−i2−i2i2i20000000000000000
χ282222-2-2-2-2222-2-222200000000-2-2-2-222-2-222−2−2−2−222000000002222−2−2−2−2−2−2−2−222220000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i20000000000000000
χ292222-2-2-2-2222-2-222200000000-2-2-2-222-2-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−200002i−2i−2i2i−i2−i2i2i2i2i2−i2−i20000000000000000
χ302222-2-2-2-2222-2-222200000000-2-2-2-222-2-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−20000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i20000000000000000
χ312222-2-2-2-2-2-2222222-2-222-2-222-2-2-2-2-2-22200000000-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ322222-2-2-2-2-2-2222222-2-222-2-222-2-2-2-2-2-22200000000-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ332222-2-2-2-2-2-2-122-1-1-122-2-222-2-2111111-1-12222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ342222-2-2-2-2-2-2-122-1-1-122-2-222-2-2111111-1-12222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ352222-2-2-2-2-2-2-122-1-1-122-2-222-2-2111111-1-1-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ362222-2-2-2-2-2-2-122-1-1-122-2-222-2-2111111-1-1-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ372-2-2222-2-22-222-2-2-220000000022-2-22-22-22−22−22−22−20000000022−2−222−2−222−2−222−2−22i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i20000000000000000
χ382-2-2222-2-22-222-2-2-220000000022-2-22-22-22−22−22−22−20000000022−2−222−2−222−2−222−2−2−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i20000000000000000
χ392-2-2222-2-22-222-2-2-220000000022-2-22-22-2−22−22−22−2200000000−2−222−2−222−2−222−2−2222i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i20000000000000000
χ402-2-2222-2-22-222-2-2-220000000022-2-22-22-2−22−22−22−2200000000−2−222−2−222−2−222−2−222−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i20000000000000000
χ412-2-2222-2-2-222-22-2-222222-2-2-2-222-2-2-22-22000000002222-2-2-2-20000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ422-2-2222-2-2-222-22-2-222222-2-2-2-222-2-2-22-22000000002222-2-2-2-2000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ432-2-2222-2-2-222-22-2-22-2-2-2-2222222-2-2-22-222-2-222-2-22-2-2-2-2222222-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ442-2-2222-2-2-222-22-2-22-2-2-2-2222222-2-2-22-22-222-2-222-2-2-2-2-22222-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ452-2-2222-2-2-22-1-2211-1-2-2-2-22222-1-1111-11-12-2-222-2-221111-1-1-1-1-1-11111-1-1-1-11111-1-100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ462-2-2222-2-2-22-1-2211-1-2-2-2-22222-1-1111-11-12-2-222-2-221111-1-1-1-1-1-11111-1-1-1-11111-1-100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ472-2-2222-2-2-22-1-2211-1-2-2-2-22222-1-1111-11-1-222-2-222-21111-1-1-1-111-1-1-1-11111-1-1-1-11100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ482-2-2222-2-2-22-1-2211-1-2-2-2-22222-1-1111-11-1-222-2-222-21111-1-1-1-111-1-1-1-11111-1-1-1-11100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ492-2-22-2-2222-22-22-2-2222-2-2-2-222-2-2222-2-220000000022-2-222-2-20000000000000000000000002-2-22-222-20000000000000000
χ502-2-22-2-2222-22-22-2-2222-2-2-2-222-2-2222-2-220000000022-2-222-2-2000000000000000000000000-222-22-2-220000000000000000
χ512-2-22-2-2222-22-22-2-22-2-22222-2-2-2-2222-2-222-2-22-222-2-2-222-2-22222-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ522-2-22-2-2222-22-22-2-22-2-22222-2-2-2-2222-2-22-222-22-2-22-2-222-2-222-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ532-2-22-2-2222-2-1-2211-1-2-22222-2-211-1-1-111-12-2-22-222-211-1-111-1-1-1-11111-1-111-1-1-1-11100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ542-2-22-2-2222-2-1-2211-1-2-22222-2-211-1-1-111-12-2-22-222-211-1-111-1-1-1-11111-1-111-1-1-1-11100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ552-2-22-2-2222-2-1-2211-1-2-22222-2-211-1-1-111-1-222-22-2-2211-1-111-1-111-1-1-1-111-1-11111-1-100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ562-2-22-2-2222-2-1-2211-1-2-22222-2-211-1-1-111-1-222-22-2-2211-1-111-1-111-1-1-1-111-1-11111-1-100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ572-2-22-2-222-2222-2-2-2200000000-2-222-222-22−22−2−22−220000000022−2−222−2−2−2−222−2−2222-2-220000−22−222−22−20000000000000000
χ582-2-22-2-222-2222-2-2-2200000000-2-222-222-22−22−2−22−220000000022−2−222−2−2−2−222−2−222-222-200002−22−2−22−220000000000000000
χ592-2-22-2-222-2222-2-2-2200000000-2-222-222-2−22−222−22−200000000−2−222−2−22222−2−222−2−22-2-2200002−22−2−22−220000000000000000
χ602-2-22-2-222-2222-2-2-2200000000-2-222-222-2−22−222−22−200000000−2−222−2−22222−2−222−2−2-222-20000−22−222−22−20000000000000000
χ614444444444-244-2-2-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-20000000022222222000000000000000000000000000000000000000000000000
χ6244444444-4-4-2-4-4-2-2-200000000-2-2-2-222222222−22−222222−22−2200000000−2−2−2−22222−2−2−2−2222200000000000000000000000000000000
χ6344444444-4-4-2-4-4-2-2-200000000-2-2-2-22222−22−222222−22−222222000000002222−2−2−2−22222−2−2−2−200000000000000000000000000000000
χ644444-4-4-4-444-2-4-4-2-2-2000000002222-2-2222222−22−22−22−22222200000000−2−2−2−222222222−2−2−2−200000000000000000000000000000000
χ654444-4-4-4-444-2-4-4-2-2-2000000002222-2-222−22−2222222222−22−22000000002222−2−2−2−2−2−2−2−2222200000000000000000000000000000000
χ664444-4-4-4-4-4-4-244-2-2-2-4-444-4-444222222-2-20000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ6744-4-44i−4i4i−4i004004-4-422−22−2i22i222−22−2i22i24i−4i4i−4i00000000000022−22−2i22i2−2i22i222−22000000000000000000000000000000000000000000000000
χ6844-4-44i−4i4i−4i004004-4-4−22222i2−2i2−22222i2−2i24i−4i4i−4i000000000000−22222i2−2i22i2−2i2−2222000000000000000000000000000000000000000000000000
χ6944-4-44i−4i4i−4i00-200-22222−22−2i22i222−22−2i22i2−2i2i−2i2i000000000000−22i2−i2i2−i2−22−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−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−ζ4300000000000000000000000000000000
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χ7144-4-44i−4i4i−4i00-200-222−22222i2−2i2−22222i2−2i2−2i2i−2i2i0000000000002−2−i2i2−i2i22−2−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−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+ζ4700000000000000000000000000000000
χ7244-4-44i−4i4i−4i00-200-222−22222i2−2i2−22222i2−2i2−2i2i−2i2i0000000000002−2−i2i2−i2i22−2ζ25−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−ζ43ζ11−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−ζ4700000000000000000000000000000000
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χ7444-4-4−4i4i−4i4i004004-4-4−2222−2i22i2−2222−2i22i2−4i4i−4i4i000000000000−2222−2i22i2−2i22i2−2222000000000000000000000000000000000000000000000000
χ7544-4-4−4i4i−4i4i00-200-22222−222i2−2i222−222i2−2i22i−2i2i−2i000000000000−22−i2i2−i2i2−22−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+ζ47ζ25+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+ζ4300000000000000000000000000000000
χ7644-4-4−4i4i−4i4i00-200-22222−222i2−2i222−222i2−2i22i−2i2i−2i000000000000−22−i2i2−i2i2−22ζ11+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−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−ζ4300000000000000000000000000000000
χ7744-4-4−4i4i−4i4i00-200-222−2222−2i22i2−2222−2i22i22i−2i2i−2i0000000000002−2i2−i2i2−i22−2−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+ζ43ζ11−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−ζ4700000000000000000000000000000000
χ7844-4-4−4i4i−4i4i00-200-222−2222−2i22i2−2222−2i22i22i−2i2i−2i0000000000002−2i2−i2i2−i22−2ζ25−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−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+ζ4700000000000000000000000000000000
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χ814-44-44i−4i−4i4i00-2002-2222−22−2i22i2−22222i2−2i2−2i2i2i−2i000000000000−22i2−i2−i2i22−2−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+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000000
χ824-44-44i−4i−4i4i00-2002-2222−22−2i22i2−22222i2−2i2−2i2i2i−2i000000000000−22i2−i2−i2i22−2ζ25−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−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000000
χ834-44-44i−4i−4i4i00-2002-22−22222i2−2i222−22−2i22i2−2i2i2i−2i0000000000002−2−i2i2i2−i2−22−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+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000000
χ844-44-44i−4i−4i4i00-2002-22−22222i2−2i222−22−2i22i2−2i2i2i−2i0000000000002−2−i2i2i2−i2−22ζ11+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−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000000
χ854-44-4−4i4i4i−4i00400-44-422−222i2−2i2−2222−2i22i2−4i4i4i−4i00000000000022−222i2−2i2−2i22i2−2222000000000000000000000000000000000000000000000000
χ864-44-4−4i4i4i−4i00400-44-4−2222−2i22i222−222i2−2i2−4i4i4i−4i000000000000−2222−2i22i22i2−2i222−22000000000000000000000000000000000000000000000000
χ874-44-4−4i4i4i−4i00-2002-2222−222i2−2i2−2222−2i22i22i−2i−2i2i000000000000−22−i2i2i2−i22−2−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−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000000
χ884-44-4−4i4i4i−4i00-2002-2222−222i2−2i2−2222−2i22i22i−2i−2i2i000000000000−22−i2i2i2−i22−2ζ25−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+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000000
χ894-44-4−4i4i4i−4i00-2002-22−2222−2i22i222−222i2−2i22i−2i−2i2i0000000000002−2i2−i2−i2i2−22−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−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000000
χ904-44-4−4i4i4i−4i00-2002-22−2222−2i22i222−222i2−2i22i−2i−2i2i0000000000002−2i2−i2−i2i2−22ζ11+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+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000000
χ914-4-4444-4-44-4-24-422-200000000-2-222-22-2222−2222−2222−2222−2200000000−2−222−2−222−2−222−2−22200000000000000000000000000000000
χ924-4-4444-4-44-4-24-422-200000000-2-222-22-22−2222−2222−2222−22220000000022−2−222−2−222−2−222−2−200000000000000000000000000000000
χ934-4-4444-4-4-44-2-4422-24444-4-4-4-4-2-2222-22-200000000-2-2-2-22222000000000000000000000000000000000000000000000000
χ944-4-44-4-4444-4-2-4422-244-4-4-4-44422-2-2-222-200000000-2-222-2-222000000000000000000000000000000000000000000000000
χ954-4-44-4-444-44-24-422-20000000022-2-22-2-2222−2222−22−2222−222200000000−2−222−2−22222−2−222−2−200000000000000000000000000000000
χ964-4-44-4-444-44-24-422-20000000022-2-22-2-22−2222−222222−2222−220000000022−2−222−2−2−2−222−2−22200000000000000000000000000000000

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