Finite Group Databasebeta

← Group #10950852

Character table — Group #10950852

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order1222344444466688881212121216161616161616168812121212161616162424242424242424484848484848484848484848484848482444888816161616161616162444661212121212124444
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
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1111111-1-1
χ911111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-111-1-111-1-111-1-11-11-1
χ1011111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-111-1-111-1-111-11-11
χ1111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1111111-1-111-1-111-1-1-11-11
χ1211111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-111-1-111-1-1111-11-1
χ1311111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ1411111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ1511111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ1611111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-1111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-2222200000000-2-222220000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ1822222222222222-2-2-2-2222200000000-2-222220000-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ192222222-2-2-2-22220000-2-2-2-22222−2−2−2−20022-2-222−2−2000000002222−2−2−2−22222−2−2−2−22-2-22000022−2−222−2−20000000000000000
χ202222222-2-2-2-22220000-2-2-2-22222−2−2−2−20022-2-222−2−2000000002222−2−2−2−22222−2−2−2−2-222-20000−2−222−2−2220000000000000000
χ212222222-2-2-2-22220000-2-2-2-2−2−2−2−222220022-2-2−2−22200000000−2−2−2−22222−2−2−2−222222-2-220000−2−222−2−2220000000000000000
χ222222222-2-2-2-22220000-2-2-2-2−2−2−2−222220022-2-2−2−22200000000−2−2−2−22222−2−2−2−22222-222-2000022−2−222−2−20000000000000000
χ2322222-2-222-2-2222000022222222−2−2−2−200-2-2-2-2−2−222000000002222−2−2−2−2−2−2−2−2222222-2-2000022−2−2−2−2220000000000000000
χ2422222-2-222-2-2222000022222222−2−2−2−200-2-2-2-2−2−222000000002222−2−2−2−2−2−2−2−22222-2-2220000−2−22222−2−20000000000000000
χ2522222-2-222-2-222200002222−2−2−2−2222200-2-2-2-222−2−200000000−2−2−2−222222222−2−2−2−222-2-20000−2−22222−2−20000000000000000
χ2622222-2-222-2-222200002222−2−2−2−2222200-2-2-2-222−2−200000000−2−2−2−222222222−2−2−2−2-2-222000022−2−2−2−2220000000000000000
χ2722222-2-2-2-222222-2-2-2-2-2-2-2-20000000022-2-22200002222-2-2-2-200000000000000002-22-2-2-222000000000000000000000000
χ2822222-2-2-2-222222-2-2-2-2-2-2-2-20000000022-2-22200002222-2-2-2-20000000000000000-22-2222-2-2000000000000000000000000
χ292222-1222222-1-1-12222-1-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ302222-1222222-1-1-12222-1-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ312222-1222222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-1-1-111110000
χ322222-1222222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-22-221111-1-1-1-10000
χ332222-1-2-2-2-222-1-1-12222111122222222-2-211-1-1-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-111-1-1110000
χ342222-1-2-2-2-222-1-1-12222111122222222-2-211-1-1-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-22211-1-111-1-10000
χ352222-1-2-2-2-222-1-1-122221111-2-2-2-2-2-2-2-2-2-211-1-122221111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ362222-1-2-2-2-222-1-1-122221111-2-2-2-2-2-2-2-2-2-211-1-122221111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ372-22-222i−2i2i−2i2-22-2-200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2002i−2i2-22−22−200000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200002i−2i2-22−22−2−i2i2−i2i20000000000000000
χ382-22-222i−2i2i−2i2-22-2-200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2002i−2i2-22−22−200000000−i2−i2i2i2−i2−i2i2i222−2−222−2−20000−2i2i-22−22−22i2−i2i2−i20000000000000000
χ392-22-222i−2i2i−2i2-22-2-200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2002i−2i2-2−22−2200000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200002i−2i2-2−22−22i2−i2i2−i20000000000000000
χ402-22-222i−2i2i−2i2-22-2-200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2002i−2i2-2−22−2200000000i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000−2i2i-222−22−2−i2i2−i2i20000000000000000
χ412-22-222i−2i−2i2i-222-2-222-2-2−2i−2i2i2i000000002i−2i2i−2i-2200002i2i−2i−2i22-2-20000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ422-22-222i−2i−2i2i-222-2-222-2-2−2i−2i2i2i000000002i−2i2i−2i-2200002i2i−2i−2i22-2-2000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ432-22-222i−2i−2i2i-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i2i2i−2i-22-222-2−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i-2-22222-2-200000000000000000000000000000000
χ442-22-222i−2i−2i2i-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i-222-2-22−2i−2i2i2i-2-222−2i−2i2i2i2i2i−2i−2i22-2-2-2-22200000000000000000000000000000000
χ452-22-22−2i2i2i−2i-222-2-222-2-22i2i−2i−2i00000000−2i2i−2i2i-220000−2i−2i2i2i22-2-20000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ462-22-22−2i2i2i−2i-222-2-222-2-22i2i−2i−2i00000000−2i2i−2i2i-220000−2i−2i2i2i22-2-2000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ472-22-22−2i2i2i−2i-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i−2i−2i2i-222-2-222i2i−2i−2i-2-2222i2i−2i−2i−2i−2i2i2i22-2-2-2-22200000000000000000000000000000000
χ482-22-22−2i2i2i−2i-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i-22-222-22i2i−2i−2i-2-222−2i−2i2i2i2i2i−2i−2i-2-22222-2-200000000000000000000000000000000
χ492-22-22−2i2i−2i2i2-22-2-20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i200−2i2i2-2−22−2200000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200002i−2i-222−22−2i2−i2i2−i20000000000000000
χ502-22-22−2i2i−2i2i2-22-2-20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i200−2i2i2-2−22−2200000000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000−2i2i2-2−22−22−i2i2−i2i20000000000000000
χ512-22-22−2i2i−2i2i2-22-2-20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i200−2i2i2-22−22−200000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200002i−2i-22−22−22−i2i2−i2i20000000000000000
χ522-22-22−2i2i−2i2i2-22-2-20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i200−2i2i2-22−22−200000000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000−2i2i2-22−22−2i2−i2i2−i20000000000000000
χ532-22-2-12i−2i−2i2i-22-111-2-222ii−i−i2i2i−2i−2i−2i−2i2i2i−2i2i−ii1-1-222-2ii−i−i11-1-1−i−iiiii−i−i11-1-1-1-11100000000000000000000−i3i33−33−3−i3i30000
χ542-22-2-12i−2i−2i2i-22-111-2-222ii−i−i2i2i−2i−2i−2i−2i2i2i−2i2i−ii1-1-222-2ii−i−i11-1-1−i−iiiii−i−i11-1-1-1-11100000000000000000000i3−i3−33−33i3−i30000
χ552-22-2-12i−2i−2i2i-22-111-2-222ii−i−i−2i−2i2i2i2i2i−2i−2i−2i2i−ii1-12-2-22ii−i−i11-1-1ii−i−i−i−iii-1-11111-1-100000000000000000000−i3i33−3−33i3−i30000
χ562-22-2-12i−2i−2i2i-22-111-2-222ii−i−i−2i−2i2i2i2i2i−2i−2i−2i2i−ii1-12-2-22ii−i−i11-1-1ii−i−i−i−iii-1-11111-1-100000000000000000000i3−i3−333−3−i3i30000
χ572-22-2-1−2i2i2i−2i-22-111-2-222−i−iii2i2i−2i−2i−2i−2i2i2i2i−2ii−i1-12-2-22−i−iii11-1-1−i−iiiii−i−i-1-11111-1-100000000000000000000−i3i3−333−3i3−i30000
χ582-22-2-1−2i2i2i−2i-22-111-2-222−i−iii2i2i−2i−2i−2i−2i2i2i2i−2ii−i1-12-2-22−i−iii11-1-1−i−iiiii−i−i-1-11111-1-100000000000000000000i3−i33−3−33−i3i30000
χ592-22-2-1−2i2i2i−2i-22-111-2-222−i−iii−2i−2i2i2i2i2i−2i−2i2i−2ii−i1-1-222-2−i−iii11-1-1ii−i−i−i−iii11-1-1-1-11100000000000000000000−i3i3−33−33−i3i30000
χ602-22-2-1−2i2i2i−2i-22-111-2-222−i−iii−2i−2i2i2i2i2i−2i−2i2i−2ii−i1-1-222-2−i−iii11-1-1ii−i−i−i−iii11-1-1-1-11100000000000000000000i3−i33−33−3i3−i30000
χ614444-2444444-2-2-2-4-4-4-4-2-2-2-200000000-4-4-2-2-2-2000022222222000000000000000000000000000000000000000000000000
χ624444-244-4-4-4-4-2-2-20000222222222222−22−22−22−2200-2-2222222−22−2200000000−2−2−2−22222−2−2−2−2222200000000000000000000000000000000
χ634444-244-4-4-4-4-2-2-200002222−22−22−22−222222222200-2-222−22−222222000000002222−2−2−2−22222−2−2−2−200000000000000000000000000000000
χ644444-2-4-444-4-4-2-2-20000-2-2-2-222222222−22−22−22−22002222−22−22222200000000−2−2−2−222222222−2−2−2−200000000000000000000000000000000
χ654444-2-4-444-4-4-2-2-20000-2-2-2-2−22−22−22−22222222220022222222−22−22000000002222−2−2−2−2−2−2−2−2222200000000000000000000000000000000
χ664444-2-4-4-4-444-2-2-2-4-4-4-42222000000004422-2-20000-2-2-2-22222000000000000000000000000000000000000000000000000
χ6744-4-44000000-44-422−2222−220000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000000000000022−2222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000000000000000000000000000000000000000
χ6844-4-44000000-44-422−2222−2200002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000000000000022−2222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000000000000000000000000000000000000000
χ6944-4-44000000-44-4−2222−222200002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000000−2222−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000000000000000000000000000000000000000
χ7044-4-44000000-44-4−2222−22220000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000000−2222−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ470000000000000000000000000000000000000000
χ7144-4-4-20000002-2222−2222−2223−2323−23−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000006−66−6−22−22ζ25−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−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000000
χ7244-4-4-20000002-2222−2222−2223−2323−232ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000006−66−6−22−22−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+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000000
χ7344-4-4-20000002-2222−2222−22−2323−2323−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000000000−66−66−22−22ζ25−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+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000000
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χ7544-4-4-20000002-22−2222−222223−2323−232ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000000000−66−662−22−2−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+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000000
χ7644-4-4-20000002-22−2222−222223−2323−23−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ470000000000−66−662−22−2ζ11−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−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000000
χ7744-4-4-20000002-22−2222−2222−2323−23232ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000006−66−62−22−2−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−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000000
χ7844-4-4-20000002-22−2222−2222−2323−2323−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000006−66−62−22−2ζ11−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+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000000
χ794-44-4-24i−4i4i−4i4-4-2220000−2i−2i2i2i−2i2−2i22i22i2−2i2−2i22i22i200−2i2i-2222−2222−2200000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000000000000000000000000000
χ804-44-4-24i−4i4i−4i4-4-2220000−2i−2i2i2i2i22i2−2i2−2i22i22i2−2i2−2i200−2i2i-22−2222−222200000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000000000000000000000000000
χ814-44-4-24i−4i−4i4i-44-22244-4-42i2i−2i−2i000000004i−4i−2i2i2-20000−2i−2i2i2i-2-222000000000000000000000000000000000000000000000000
χ824-44-4-2−4i4i4i−4i-44-22244-4-4−2i−2i2i2i00000000−4i4i2i−2i2-200002i2i−2i−2i-2-222000000000000000000000000000000000000000000000000
χ834-44-4-2−4i4i−4i4i4-4-22200002i2i−2i−2i−2i2−2i22i22i2−2i2−2i22i22i2002i−2i-22−2222−222200000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000000000000000000000000000
χ844-44-4-2−4i4i−4i4i4-4-22200002i2i−2i−2i2i22i2−2i2−2i22i22i2−2i2−2i2002i−2i-2222−2222−2200000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000000000000000000000000000
χ854-4-444000000-4-4422−22−22220000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000000022−22−2222−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000000000000000000000000000000000
χ864-4-444000000-4-4422−22−222200002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000000022−22−22222ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000000000000000000000000000000000
χ874-4-444000000-4-44−222222−2200002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700000000000000−222222−222ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000000000000000000000000000000000
χ884-4-444000000-4-44−222222−220000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700000000000000−222222−22−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000000000000000000000000000000000
χ894-4-44-200000022-222−22−2222−2i32i32i3−2i3−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000i6−i6−i6i6−222−2ζ25+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−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
χ904-4-44-200000022-222−22−2222−2i32i32i3−2i32ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000i6−i6−i6i6−222−2−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+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
χ914-4-44-200000022-222−22−22222i3−2i3−2i32i3−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000−i6i6i6−i6−222−2ζ25+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−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
χ924-4-44-200000022-222−22−22222i3−2i3−2i32i32ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000−i6i6i6−i6−222−2−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+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
χ934-4-44-200000022-2−222222−22−2i32i32i3−2i32ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000−i6i6i6−i62−2−22−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−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
χ944-4-44-200000022-2−222222−22−2i32i32i3−2i3−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000−i6i6i6−i62−2−22ζ11+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+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
χ954-4-44-200000022-2−222222−222i3−2i3−2i32i32ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000i6−i6−i6i62−2−22−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−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
χ964-4-44-200000022-2−222222−222i3−2i3−2i32i3−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000i6−i6−i6i62−2−22ζ11+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+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

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