Finite Group Databasebeta

← Group #10713607

Character table — Group #10713607

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order12222234444666666688881616161616161616881212121216161616242424242424242448484848484848484848484848484848444488881616161616161616444412121212121212128888
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
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ91-1-111-1111-1-111-1-1-1-1111-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ101-1-111-1111-1-111-1-1-1-1111-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii
χ111-1-111-1111-1-111-1-1-1-1111-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii
χ121-1-111-1111-1-111-1-1-1-1111-1-11111-1-1-1-11-11-1-1111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i
χ131-1-111-1111-1-111-1-1-1-1111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ141-1-111-1111-1-111-1-1-1-1111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ151-1-111-1111-1-111-1-1-1-1111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ161-1-111-1111-1-111-1-1-1-1111-1-1-1-1-1-111111-11-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ17222222222222222222-2-2-2-200000000-2-222220000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ18222222222222222222-2-2-2-200000000-2-222220000-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ192222222-2-2-2-22222222000022−2−222−2−200-2-2-2-22−22−2000000002222−2−2−2−22222−2−2−2−200002i−2i2i−2i−i2−i2i2i2−i2−i2i2i20000000000000000
χ202222222-2-2-2-22222222000022−2−222−2−200-2-2-2-22−22−2000000002222−2−2−2−22222−2−2−2−20000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i20000000000000000
χ212222222-2-2-2-222222220000−2−222−2−22200-2-2-2-2−22−2200000000−2−2−2−22222−2−2−2−2222200002i−2i2i−2ii2i2−i2−i2i2i2−i2−i20000000000000000
χ222222222-2-2-2-222222220000−2−222−2−22200-2-2-2-2−22−2200000000−2−2−2−22222−2−2−2−222220000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i20000000000000000
χ23222222-12222-1-1-1-1-1-1-122222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ24222222-12222-1-1-1-1-1-1-122222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ25222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-111110000
χ26222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-10000
χ272222-2-222-2-22-2-222-2-22000022−2−222−2−20022-2-2−22−220000000022−2−222−2−222−2−222−2−22-22-200002−22−22−22−20000000000000000
χ282222-2-222-2-22-2-222-2-22000022−2−222−2−20022-2-2−22−220000000022−2−222−2−222−2−222−2−2-22-220000−22−22−22−220000000000000000
χ292222-2-222-2-22-2-222-2-220000−2−222−2−2220022-2-22−22−200000000−2−222−2−222−2−222−2−2222-22-20000−22−22−22−220000000000000000
χ302222-2-222-2-22-2-222-2-220000−2−222−2−2220022-2-22−22−200000000−2−222−2−222−2−222−2−222-22-2200002−22−22−22−20000000000000000
χ312222-2-22-222-2-2-222-2-22222222222222-2-2-2-222-2-2-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ322222-2-22-222-2-2-222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-222-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ332222-2-22-222-2-2-222-2-22-2-2-2-20000000022-2-222000022-2-222-2-20000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ342222-2-22-222-2-2-222-2-22-2-2-2-20000000022-2-222000022-2-222-2-2000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ352222-2-2-1-222-211-1-111-1222222222222-2-211-1-1-2-2-2-211-1-111-1-1-1-11111-1-1-1-11111-1-100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ362222-2-2-1-222-211-1-111-1222222222222-2-211-1-1-2-2-2-211-1-111-1-1-1-11111-1-1-1-11111-1-100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ372222-2-2-1-222-211-1-111-12222-2-2-2-2-2-2-2-2-2-211-1-1222211-1-111-1-111-1-1-1-11111-1-1-1-11100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ382222-2-2-1-222-211-1-111-12222-2-2-2-2-2-2-2-2-2-211-1-1222211-1-111-1-111-1-1-1-11111-1-1-1-11100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ392-2-222-2222-2-222-2-2-2-22-2-22200000000-222-2-220000-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ402-2-222-2222-2-222-2-2-2-22-2-22200000000-222-2-220000-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ412-2-222-22-2-22222-2-2-2-22000022−2−2−2−22200-222-22−2−22000000002222−2−2−2−2−2−2−2−2222200002-2-22−2−22222−2−20000000000000000
χ422-2-222-22-2-22222-2-2-2-22000022−2−2−2−22200-222-22−2−22000000002222−2−2−2−2−2−2−2−222220000-222-222−2−2−2−2220000000000000000
χ432-2-222-22-2-22222-2-2-2-220000−2−22222−2−200-222-2−222−200000000−2−2−2−222222222−2−2−2−200002-2-2222−2−2−2−2220000000000000000
χ442-2-222-22-2-22222-2-2-2-220000−2−22222−2−200-222-2−222−200000000−2−2−2−222222222−2−2−2−20000-222-2−2−22222−2−20000000000000000
χ452-2-222-2-122-2-2-1-11111-122-2-22222-2-2-2-22-2-111-122-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-1110000
χ462-2-222-2-122-2-2-1-11111-122-2-22222-2-2-2-22-2-111-122-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-10000
χ472-2-222-2-122-2-2-1-11111-122-2-2-2-2-2-222222-2-111-1-2-222-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ482-2-222-2-122-2-2-1-11111-122-2-2-2-2-2-222222-2-111-1-2-222-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ492-2-22-2222-22-2-2-2-2-2222000022−2−2−2−222002-22-2−222−20000000022−2−222−2−2−2−222−2−2222i−2i−2i2i0000i2−i2i2−i2−i2i2−i2i20000000000000000
χ502-2-22-2222-22-2-2-2-2-2222000022−2−2−2−222002-22-2−222−20000000022−2−222−2−2−2−222−2−222−2i2i2i−2i0000−i2i2−i2i2i2−i2i2−i20000000000000000
χ512-2-22-2222-22-2-2-2-2-22220000−2−22222−2−2002-22-22−2−2200000000−2−222−2−22222−2−222−2−22i−2i−2i2i0000−i2i2−i2i2i2−i2i2−i20000000000000000
χ522-2-22-2222-22-2-2-2-2-22220000−2−22222−2−2002-22-22−2−2200000000−2−222−2−22222−2−222−2−2−2i2i2i−2i0000i2−i2i2−i2−i2i2−i2i20000000000000000
χ532-2-22-222-22-22-2-2-2-222222-2-22222-2-2-2-2-22-22-22-2-222-2-2-2-2222222-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ542-2-22-222-22-22-2-2-2-222222-2-2-2-2-2-22222-22-22-2222-2-2-2-2-2-22222-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ552-2-22-222-22-22-2-2-2-2222-2-222000000002-2-22-2200002222-2-2-2-20000000000000000000000002-2-22-222-20000000000000000
χ562-2-22-222-22-22-2-2-2-2222-2-222000000002-2-22-2200002222-2-2-2-2000000000000000000000000-222-22-2-220000000000000000
χ572-2-22-22-1-22-221111-1-1-122-2-22222-2-2-2-2-221-11-1-2-2221111-1-1-1-1-1-11111-1-111-1-1-1-11100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ582-2-22-22-1-22-221111-1-1-122-2-22222-2-2-2-2-221-11-1-2-2221111-1-1-1-1-1-11111-1-111-1-1-1-11100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ592-2-22-22-1-22-221111-1-1-122-2-2-2-2-2-22222-221-11-122-2-21111-1-1-1-111-1-1-1-111-1-11111-1-100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ602-2-22-22-1-22-221111-1-1-122-2-2-2-2-2-22222-221-11-122-2-21111-1-1-1-111-1-1-1-111-1-11111-1-100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ61444444-24444-2-2-2-2-2-2-2-4-4-4-400000000-4-4-2-2-2-2000022222222000000000000000000000000000000000000000000000000
χ62444444-2-4-4-4-4-2-2-2-2-2-2-200002222−22−222222−22−2200222222−2222−2200000000−2−2−2−22222−2−2−2−2222200000000000000000000000000000000
χ63444444-2-4-4-4-4-2-2-2-2-2-2-20000−22−222222−22−222222002222−2222−2222000000002222−2−2−2−22222−2−2−2−200000000000000000000000000000000
χ644444-4-4-24-4-4422-2-222-200002222−22−222222−22−2200-2-222−2222−222200000000−2−222−2−222−2−222−2−22200000000000000000000000000000000
χ654444-4-4-24-4-4422-2-222-20000−22−222222−22−22222200-2-22222−2222−220000000022−2−222−2−222−2−222−2−200000000000000000000000000000000
χ664444-4-4-2-444-422-2-222-2-4-4-4-4000000004422-2-20000-2-222-2-222000000000000000000000000000000000000000000000000
χ6744-4-40040000004-400-422−2222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000000022−220022−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000000000000000000000000000
χ6844-4-40040000004-400-422−2222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000000022−220022−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000000000000000000000000000
χ6944-4-40040000004-400-4−2222−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000000000000−222200−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000000000000000000000000
χ7044-4-40040000004-400-4−2222−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000000000000−222200−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000000000000000000000000
χ7144-4-400-20000−2i32i3-22−2i32i3222−2222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000000000i6−i6−22i6−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+ζ43ζ25−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+ζ4300000000000000000000000000000000
χ7244-4-400-20000−2i32i3-22−2i32i3222−2222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000000000i6−i6−22i6−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−ζ43−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−ζ4300000000000000000000000000000000
χ7344-4-400-20000−2i32i3-22−2i32i32−2222−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000000000−i6i62−2−i6i62−2−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−ζ47−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
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χ824-44-4004000000-4400-4−222222−22−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000022−2200−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000000000000000000000000
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χ904-44-400-200002i3−2i32-2−2i32i32−222222−22−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000000000i6−i6−22−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−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−ζ4700000000000000000000000000000000
χ914-4-444-4-244-4-4-2-22222-2-4-44400000000-44-222-2000022-2-2-2-222000000000000000000000000000000000000000000000000
χ924-4-444-4-2-4-444-2-22222-200002222−22−22−22−222222002-2-2222−22−222200000000−2−2−2−222222222−2−2−2−200000000000000000000000000000000
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χ944-4-44-44-24-44-42222-2-2-200002222−22−22−22−22222200-22-22−222222−2200000000−2−222−2−22222−2−222−2−200000000000000000000000000000000
χ954-4-44-44-24-44-42222-2-2-20000−22−2222222222−22−2200-22-2222−22−22220000000022−2−222−2−2−2−222−2−22200000000000000000000000000000000
χ964-4-44-44-2-44-442222-2-2-2-4-444000000004-42-22-20000-2-2-2-22222000000000000000000000000000000000000000000000000

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