Finite Group Databasebeta

← Group #10950869

Character table — Group #10950869

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222222222224444444444444444444444444444444444444466661212121212121212121212121212161616163232323248484848
order12222234444666888888886612121212161616161616161624242424242424244848484848484848484848484848484844444488881616161616161616244461212124444
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ91111-1-11-1-111111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11-11-1-11-1-111
χ101111-1-11-1-111111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-111-111-1-1
χ111111-1-11-1-111111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-11-1-1111-1-1
χ121111-1-11-1-111111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-111-1-1-111
χ131111-1-11-1-111111-1-1-1-11111-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111-1-111-11-1-111-1
χ141111-1-11-1-111111-1-1-1-11111-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-111-1-11-111-1-11
χ151111-1-11-1-111111-1-1-1-11111-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-11-1-111-11-11-1-11
χ161111-1-11-1-111111-1-1-1-11111-1-11-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-111-1-11-11-111-1
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
χ192222222-2-2-2-22220000000022-2-2-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−222-2-22-2000022−2−222−2−2000000000000
χ202222222-2-2-2-22220000000022-2-2-2-222−2−222−2−2000000002222−2−2−2−22222−2−2−2−2-2-222-220000−2−222−2−222000000000000
χ212222222-2-2-2-22220000000022-2-2-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−2222222-2-22-20000−2−222−2−222000000000000
χ222222222-2-2-2-22220000000022-2-2-2-2−2−222−2−22200000000−2−2−2−22222−2−2−2−22222-2-222-22000022−2−222−2−2000000000000
χ23222222-12222-1-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-10000
χ24222222-12222-1-1-122222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-211110000
χ25222222-12222-1-1-122222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000022-2-2-1-1110000
χ26222222-12222-1-1-122222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-22211-1-10000
χ272222-2-2222-2-222200000000-2-2-222-222−2−2−2−222000000002222−2−2−2−2−2−2−2−2222222-2-2-22000022−2−2−2−222000000000000
χ282222-2-2222-2-222200000000-2-2-222-222−2−2−2−222000000002222−2−2−2−2−2−2−2−22222-2-2222-20000−2−22222−2−2000000000000
χ292222-2-2222-2-222200000000-2-2-222-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−222-2-2-220000−2−22222−2−2000000000000
χ302222-2-2222-2-222200000000-2-2-222-2−2−22222−2−200000000−2−2−2−222222222−2−2−2−2-2-2222-2000022−2−2−2−222000000000000
χ312222-2-22-2-2222222222-2-2-2-2-2-22-2-2200000000-2-22222-2-200000000000000002222-2-2-2-22200000000000000000000
χ322222-2-22-2-2222222222-2-2-2-2-2-22-2-2200000000-2-22222-2-20000000000000000-2-2-2-22222-2-200000000000000000000
χ332222-2-2-1-2-222-1-1-1-2-2-2-2222211-111-12222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000002-22-2-111-10000
χ342222-2-2-1-2-222-1-1-1-2-2-2-2222211-111-12222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111000000000000000000-22-221-1-110000
χ352222-2-2-1-2-222-1-1-1-2-2-2-2222211-111-1-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000002-2-22-11-110000
χ362222-2-2-1-2-222-1-1-1-2-2-2-2222211-111-1-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1000000000000000000-222-21-11-10000
χ372-22-2002002-2-2-22000022-2-200-20022-22-20000-2-200002222-2-222-2-2000000002i−2i2i−2i002i−2i002i−2i2i−2i0000000000000000
χ382-22-2002002-2-2-22000022-2-200-20022-22-20000-2-200002222-2-222-2-200000000−2i2i−2i2i00−2i2i00−2i2i−2i2i0000000000000000
χ392-22-2002002-2-2-22000022-2-200-2002-22-220000-2-2000022-2-222-2-222000000002i−2i2i−2i002i−2i00−2i2i−2i2i0000000000000000
χ402-22-2002002-2-2-22000022-2-200-2002-22-220000-2-2000022-2-222-2-22200000000−2i2i−2i2i00−2i2i002i−2i2i−2i0000000000000000
χ412-22-2002002-2-2-220000-2-22200-200200002i−2i2i−2i220000-2-2000000002i2i−2i−2i2i2i−2i−2i2i−2i2i−2i00−2i2i0000002-22-2000000000000
χ422-22-2002002-2-2-220000-2-22200-200200002i−2i2i−2i220000-2-2000000002i2i−2i−2i2i2i−2i−2i−2i2i−2i2i002i−2i000000-22-22000000000000
χ432-22-2002002-2-2-220000-2-22200-20020000−2i2i−2i2i220000-2-200000000−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i00−2i2i000000-22-22000000000000
χ442-22-2002002-2-2-220000-2-22200-20020000−2i2i−2i2i220000-2-200000000−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i002i−2i0000002-22-2000000000000
χ452-22-200200-22-2-222i2i−2i−2i000000200-22−2−22−i2i2i2−i2002i2i−2i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i22i−2i−2i2i00002-2i2−i2−i2i2−222−2000000000000
χ462-22-200200-22-2-222i2i−2i−2i000000200-22−2−22−i2i2i2−i2002i2i−2i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i0000-22−i2i2i2−i22−2−22000000000000
χ472-22-200200-22-2-222i2i−2i−2i000000200-2−222−2i2−i2−i2i2002i2i−2i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i22i−2i−2i2i00002-2−i2i2i2−i22−2−22000000000000
χ482-22-200200-22-2-222i2i−2i−2i000000200-2−222−2i2−i2−i2i2002i2i−2i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i0000-22i2−i2−i2i2−222−2000000000000
χ492-22-200200-22-2-22−2i−2i2i2i000000200-22−2−22i2−i2−i2i200−2i−2i2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i22i−2i−2i2i0000-22i2−i2−i2i22−2−22000000000000
χ502-22-200200-22-2-22−2i−2i2i2i000000200-22−2−22i2−i2−i2i200−2i−2i2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i00002-2−i2i2i2−i2−222−2000000000000
χ512-22-200200-22-2-22−2i−2i2i2i000000200-2−222−2−i2i2i2−i200−2i−2i2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i−2i−2i2i0000-22−i2i2i2−i2−222−2000000000000
χ522-22-200200-22-2-22−2i−2i2i2i000000200-2−222−2−i2i2i2−i200−2i−2i2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i00002-2i2−i2−i2i22−2−22000000000000
χ53444444-24444-2-2-2-4-4-4-4-4-4-4-4-2-2-2-2-2-200000000222222220000000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-200000000-2-222222222−22−222222−22−2200000000−2−2−2−22222−2−2−2−22222000000000000000000000000000000
χ55444444-2-4-4-4-4-2-2-200000000-2-22222−22−222222−22−222222000000002222−2−2−2−22222−2−2−2−2000000000000000000000000000000
χ564444-4-4-244-4-4-2-2-200000000222-2-222222−22−22−22−22222200000000−2−2−2−222222222−2−2−2−2000000000000000000000000000000
χ574444-4-4-244-4-4-2-2-200000000222-2-22−22−2222222222−22−22000000002222−2−2−2−2−2−2−2−22222000000000000000000000000000000
χ584444-4-4-2-4-444-2-2-24444-4-4-4-422-222-20000000022-2-2-2-2220000000000000000000000000000000000000000000000
χ5944-4-44-4400004-4-422−2222−2222−2222−224-400000000000022−2222−2222−2222−220000000000000000000000000000000000000000000000
χ6044-4-44-4400004-4-4−2222−2222−2222−22224-4000000000000−2222−2222−2222−22220000000000000000000000000000000000000000000000
χ6144-4-44-4-20000-22222−2222−2222−2222−22-22000000000000−22−22−22−22−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
χ6244-4-44-4-20000-22222−2222−2222−2222−22-22000000000000−22−22−22−22ζ11−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
χ6344-4-44-4-20000-222−2222−2222−2222−2222-220000000000002−22−22−22−2−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
χ6444-4-44-4-20000-222−2222−2222−2222−2222-220000000000002−22−22−22−2ζ25+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
χ6544-4-4-44400004-4-422−2222−22−2222−2222-44000000000000−222222−2222−22−22220000000000000000000000000000000000000000000000
χ6644-4-4-44400004-4-4−2222−222222−2222−22-4400000000000022−22−2222−222222−220000000000000000000000000000000000000000000000
χ6744-4-4-44-20000-22222−2222−22−2222−22222-20000000000002−2−22−222−2−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
χ6844-4-4-44-20000-22222−2222−22−2222−22222-20000000000002−2−22−222−2ζ25+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
χ6944-4-4-44-20000-222−2222−222222−2222−222-2000000000000−222−22−2−22−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
χ7044-4-4-44-20000-222−2222−222222−2222−222-2000000000000−222−22−2−22ζ11−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
χ714-44-400-2004-422-2000044-4-400200-24-44-40000220000-2-2-2-222-2-22200000000000000000000000000000000000000
χ724-44-400-2004-422-2000044-4-400200-2-44-440000220000-2-222-2-222-2-200000000000000000000000000000000000000
χ734-44-400-2004-422-20000-4-44400200-200004i−4i4i−4i-2-200002200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ744-44-400-2004-422-20000-4-44400200-20000−4i4i−4i4i-2-2000022000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ754-44-400-200-4422-24i4i−4i−4i000000-200222−22−2222−2i22i22i2−2i200−2i−2i2i2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000000000
χ764-44-400-200-4422-24i4i−4i−4i000000-2002−222222−222i2−2i2−2i22i200−2i−2i2i2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000000000
χ774-44-400-200-4422-2−4i−4i4i4i000000-200222−22−22222i2−2i2−2i22i2002i2i−2i−2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000000000
χ784-44-400-200-4422-2−4i−4i4i4i000000-2002−222222−22−2i22i22i2−2i2002i2i−2i−2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000000000
χ794-4-440044i−4i00-44-4−2i22i22i2−2i222−22−22220004i−4i000000000−2222−2i22i22i2−2i222−220000000000000000000000000000000000000000000000
χ804-4-440044i−4i00-44-42i2−2i2−2i22i2−222222−220004i−4i00000000022−222i2−2i2−2i22i2−22220000000000000000000000000000000000000000000000
χ814-4-44004−4i4i00-44-4−2i22i22i2−2i2−222222−22000−4i4i00000000022−22−2i22i22i2−2i2−22220000000000000000000000000000000000000000000000
χ824-4-44004−4i4i00-44-42i2−2i2−2i22i222−22−2222000−4i4i000000000−22222i2−2i2−2i22i222−220000000000000000000000000000000000000000000000
χ834-4-4400-24i−4i002-22−2i22i22i2−2i222−22−2222000−2i2i0000000002−2i2−i2−i2i2−22−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−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
χ844-4-4400-24i−4i002-22−2i22i22i2−2i222−22−2222000−2i2i0000000002−2i2−i2−i2i2−22ζ11−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−ζ47ζ11+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
χ854-4-4400-24i−4i002-222i2−2i2−2i22i2−222222−22000−2i2i000000000−22−i2i2i2−i22−2−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−ζ43ζ25−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
χ864-4-4400-24i−4i002-222i2−2i2−2i22i2−222222−22000−2i2i000000000−22−i2i2i2−i22−2ζ25+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−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
χ874-4-4400-2−4i4i002-22−2i22i22i2−2i2−222222−220002i−2i000000000−22i2−i2−i2i22−2−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−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
χ884-4-4400-2−4i4i002-22−2i22i22i2−2i2−222222−220002i−2i000000000−22i2−i2−i2i22−2ζ25+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+ζ43ζ25−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
χ894-4-4400-2−4i4i002-222i2−2i2−2i22i222−22−22220002i−2i0000000002−2−i2i2i2−i2−22−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+ζ47ζ11+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
χ904-4-4400-2−4i4i002-222i2−2i2−2i22i222−22−22220002i−2i0000000002−2−i2i2i2−i2−22ζ11−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−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

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