Finite Group Databasebeta

← Group #10713279

Character table — Group #10713279

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order1222222234444444466666668888888844888812121212121212121212121224242424242424242424242424242424161616161616161616161616161616164444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ91-1111-1-1-11-1-111-1-111-1-1-1111-111-1-1-1-1111-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ101-1111-1-1-11-1-111-1-111-1-1-1111-111-1-1-1-1111-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111-1111-1-1-11-1-111-1-111-1-1-1111-111-1-1-1-1111-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ121-1111-1-1-11-1-111-1-111-1-1-1111-111-1-1-1-1111-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ131-1111-1-1-11-1-1-1-11111-1-1-1111-111-1-1-1-111-11-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141-1111-1-1-11-1-1-1-11111-1-1-1111-111-1-1-1-111-11-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151-1111-1-1-11-1-1-1-11111-1-1-1111-111-1-1-1-111-11-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i
χ161-1111-1-1-11-1-1-1-11111-1-1-1111-111-1-1-1-111-11-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ1822222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ19222222222-2-22222-2-2222222200000000-2-20000-2-222-2-222-2-2-2-2000000000000000022−2−222−2−222−2−222−2−200000000000000000000
χ20222222222-2-22222-2-2222222200000000-2-20000-2-222-2-222-2-2-2-20000000000000000−2−222−2−222−2−222−2−22200000000000000000000
χ21222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-222-2-222-2-2000000000000000022−2−222−2−2−2−222−2−22200000000000000000000
χ22222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-222-2-222-2-20000000000000000−2−222−2−22222−2−222−2−200000000000000000000
χ2322222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2422222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2522222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2622222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-1111100000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-100000000
χ2922222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3022222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ31222-2-22-2-22002-22-2002-2-22-2-222−222−2−22−2002−22−2002-2002-2000022−2−222−2−222−2−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000000000000000
χ32222-2-22-2-22002-22-2002-2-22-2-222−222−2−22−2002−22−2002-2002-2000022−2−222−2−222−2−222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000000000000000
χ33222-2-22-2-22002-22-2002-2-22-2-22−22−2−222−2200−22−22002-2002-20000−2−222−2−222−2−222−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000000000000
χ34222-2-22-2-22002-22-2002-2-22-2-22−22−2−222−2200−22−22002-2002-20000−2−222−2−222−2−222−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000000000000000
χ35222-2-22-2-2200-22-22002-2-22-2-222−222−2−22−200−22−2200-2200-22000022−2−222−2−2−2−222−2−222−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000000000000000
χ36222-2-22-2-2200-22-22002-2-22-2-222−222−2−22−200−22−2200-2200-22000022−2−222−2−2−2−222−2−222ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000000000000000
χ37222-2-22-2-2200-22-22002-2-22-2-22−22−2−222−22002−22−200-2200-220000−2−222−2−22222−2−222−2−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000000000000000
χ38222-2-22-2-2200-22-22002-2-22-2-22−22−2−222−22002−22−200-2200-220000−2−222−2−22222−2−222−2−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000000000000
χ3922-22-2-22-222-200002-222-2-22-2-2222-22-2-2-20000002-2000000002-22-22-22-22-200000000000000000000000000000000000000002-22-2
χ4022-22-2-22-222-200002-222-2-22-2-2222-22-2-2-20000002-2000000002-22-22-22-22-20000000000000000000000000000000000000000-22-22
χ4122-22-2-22-222-200002-222-2-22-2-2-2-2-22-22220000002-2000000002-2-22-22-22-220000000000000000000000000000000000002i−2i2i−2i0000
χ4222-22-2-22-222-200002-222-2-22-2-2-2-2-22-22220000002-2000000002-2-22-22-22-22000000000000000000000000000000000000−2i2i−2i2i0000
χ432-2222-2-2-222222-2-2-2-2-2-2-2222-200000000-2200002222-2-2-2-222-2-2000000000000000022−2−2−2−22222−2−2−2−22200000000000000000000
χ442-2222-2-2-222222-2-2-2-2-2-2-2222-200000000-2200002222-2-2-2-222-2-20000000000000000−2−22222−2−2−2−22222−2−200000000000000000000
χ452-2222-2-2-2222-2-222-2-2-2-2-2222-2000000002-2000022-2-22222-2-2-2-2000000000000000022−2−2−2−222−2−22222−2−200000000000000000000
χ462-2222-2-2-2222-2-222-2-2-2-2-2222-2000000002-2000022-2-22222-2-2-2-20000000000000000−2−22222−2−222−2−2−2−22200000000000000000000
χ472-2222-2-2-22-2-222-2-222-2-2-2222-2-2-22222-2-22-2-2-222-2-22222-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ482-2222-2-2-22-2-2-2-22222-2-2-2222-2-2-22222-2-2-2222-2-2-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ492-2222-2-2-2-1-2-222-2-222111-1-1-1122-2-2-2-2222-222-2-211-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111100000000000000002i−2i2i−2i−i−iii−i−iii00000000
χ502-2222-2-2-2-1-2-222-2-222111-1-1-1122-2-2-2-2222-222-2-211-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111110000000000000000−2i2i−2i2iii−i−iii−i−i00000000
χ512-2222-2-2-2-1-2-222-2-222111-1-1-11-2-22222-2-22-2-2-22211-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1000000000000000000003−3−333−3−3300000000
χ522-2222-2-2-2-1-2-222-2-222111-1-1-11-2-22222-2-22-2-2-22211-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−333−3−333−300000000
χ532-2222-2-2-2-1-2-2-2-22222111-1-1-1122-2-2-2-222-22-2-222111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000002i−2i−2i2i−i−iiiii−i−i00000000
χ542-2222-2-2-2-1-2-2-2-22222111-1-1-1122-2-2-2-222-22-2-222111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000−2i2i2i−2iii−i−i−i−iii00000000
χ552-2222-2-2-2-1-2-2-2-22222111-1-1-11-2-22222-2-2-2222-2-2111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000003−3−33−333−300000000
χ562-2222-2-2-2-1-2-2-2-22222111-1-1-11-2-22222-2-2-2222-2-2111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−333−33−3−3300000000
χ572-22-2-2-2222002-2-2200-2222-2-2-22−2−2−2222−2002−2−22002-200-22000022−2−2−2−22222−2−2−2−222−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000000000000000
χ582-22-2-2-2222002-2-2200-2222-2-2-22−2−2−2222−2002−2−22002-200-22000022−2−2−2−22222−2−2−2−222ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000000000000000
χ592-22-2-2-2222002-2-2200-2222-2-2-2−2222−2−2−2200−222−2002-200-220000−2−22222−2−2−2−22222−2−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000000000000000
χ602-22-2-2-2222002-2-2200-2222-2-2-2−2222−2−2−2200−222−2002-200-220000−2−22222−2−2−2−22222−2−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000000000000
χ612-22-2-2-222200-222-200-2222-2-2-22−2−2−2222−200−222−200-22002-2000022−2−2−2−222−2−22222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000000000000000
χ622-22-2-2-222200-222-200-2222-2-2-22−2−2−2222−200−222−200-22002-2000022−2−2−2−222−2−22222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000000000000000
χ632-22-2-2-222200-222-200-2222-2-2-2−2222−2−2−22002−2−2200-22002-20000−2−22222−2−222−2−2−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000000000000
χ642-22-2-2-222200-222-200-2222-2-2-2−2222−2−2−22002−2−2200-22002-20000−2−22222−2−222−2−2−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000000000000000
χ652-2-22-22-222-2200002-2-2-22-22-2222-22-22-2-2000000-22000000002-22-22-2-22-2200000000000000000000000000000000000000002i−2i−2i2i
χ662-2-22-22-222-2200002-2-2-22-22-2222-22-22-2-2000000-22000000002-22-22-2-22-220000000000000000000000000000000000000000−2i2i2i−2i
χ672-2-22-22-222-2200002-2-2-22-22-22-2-22-22-222000000-22000000002-2-22-222-22-20000000000000000000000000000000000002-2-220000
χ682-2-22-22-222-2200002-2-2-22-22-22-2-22-22-222000000-22000000002-2-22-222-22-2000000000000000000000000000000000000-222-20000
χ6944444444-2-4-44444-4-4-2-2-2-2-2-2-200000000-4-4000022-2-222-2-222220000000000000000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2000000004400002222-2-222-2-2220000000000000000000000000000000000000000000000000000
χ71444-4-44-4-4-2004-44-400-222-222-222−222222−22−2222−220022−2222−2200-2200-220000−2−222−2−222−2−222−2−222000000000000000000000000000000000000
χ72444-4-44-4-4-2004-44-400-222-222-2−2222−22−222222−222200−2222−222200-2200-22000022−2−222−2−222−2−222−2−2000000000000000000000000000000000000
χ73444-4-44-4-4-200-44-4400-222-222-222−222222−22−2222−2200−2222−2222002-2002-20000−2−222−2−22222−2−222−2−2000000000000000000000000000000000000
χ74444-4-44-4-4-200-44-4400-222-222-2−2222−22−222222−22220022−2222−22002-2002-2000022−2−222−2−2−2−222−2−222000000000000000000000000000000000000
χ7544-44-4-44-44-440000-4444-4-44-4-400000000000000-4400000000-440000000000000000000000000000000000000000000000000000
χ7644-44-4-44-4-24-400004-4-2-222-222444-44-4-4-4000000-2200000000-22-22-22-22-2200000000000000000000000000000000000000000000
χ7744-44-4-44-4-24-400004-4-2-222-222-4-4-44-4444000000-2200000000-222-22-22-22-200000000000000000000000000000000000000000000
χ7844-44-4-44-4-2-440000-44-2-222-222000000000000002-2000000002-200000000−2i32i3−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000
χ7944-44-4-44-4-2-440000-44-2-222-222000000000000002-2000000002-2000000002i3−2i32i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000
χ8044-4-44-4-444000000004-44-4-44-422−2222−22−2222−222200000000000000000022−22−222222−22−222200000000000000000000000000000000000000000000
χ8144-4-44-4-444000000004-44-4-44-4−2222−222222−2222−22000000000000000000−222222−22−222222−2200000000000000000000000000000000000000000000
χ8244-4-44-4-44-200000000-22-222-2222−2222−22−2222−22220000000000−2i32i300−2i32i300−222−2−222−2i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ8344-4-44-4-44-200000000-22-222-2222−2222−22−2222−222200000000002i3−2i3002i3−2i300−222−2−222−2−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ8444-4-44-4-44-200000000-22-222-22−2222−222222−2222−220000000000−2i32i300−2i32i3002−2−222−2−22−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ8544-4-44-4-44-200000000-22-222-22−2222−222222−2222−2200000000002i3−2i3002i3−2i3002−2−222−2−22i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ864-4444-4-4-4-24444-4-4-4-4222-2-2-2200000000-440000-2-2-2-22222-2-2220000000000000000000000000000000000000000000000000000
χ874-4444-4-4-4-244-4-444-4-4222-2-2-22000000004-40000-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ884-44-4-4-444-2004-4-44002-2-2-222222−22−22−22222222−220022−22−222200-22002-20000−2−22222−2−2−2−22222−2−2000000000000000000000000000000000000
χ894-44-4-4-444-2004-4-44002-2-2-2222−22222222−22−22−222200−222222−2200-22002-2000022−2−2−2−22222−2−2−2−222000000000000000000000000000000000000
χ904-44-4-4-444-200-444-4002-2-2-222222−22−22−22222222−2200−222222−22002-200-220000−2−22222−2−222−2−2−2−222000000000000000000000000000000000000
χ914-44-4-4-444-200-444-4002-2-2-2222−22222222−22−22−22220022−22−2222002-200-22000022−2−2−2−222−2−22222−2−2000000000000000000000000000000000000
χ924-4-44-44-4444-40000-44-4-44-44-44000000000000004-400000000-440000000000000000000000000000000000000000000000000000
χ934-4-44-44-44-24-40000-4422-22-22-200000000000000-22000000002-200000000−2i32i3−2i32i32i3−2i32i3−2i3000000000000000000000000000000000000
χ944-4-44-44-44-24-40000-4422-22-22-200000000000000-22000000002-2000000002i3−2i32i3−2i3−2i32i3−2i32i3000000000000000000000000000000000000
χ954-4-44-44-44-2-4400004-422-22-22-244-44-44-4-40000002-200000000-22-22-222-22-200000000000000000000000000000000000000000000
χ964-4-44-44-44-2-4400004-422-22-22-2-4-44-44-4440000002-200000000-222-22-2-22-2200000000000000000000000000000000000000000000
χ974-4-4-4444-4400000000-44-4-4-44422−22−222222−22−222200000000000000000022−22−2222−222222−2200000000000000000000000000000000000000000000
χ984-4-4-4444-4400000000-44-4-4-444−222222−22−222222−22000000000000000000−222222−2222−22−222200000000000000000000000000000000000000000000
χ994-4-4-4444-4-2000000002-2222-2-222−22−222222−22−22220000000000−2i32i3002i3−2i300−222−22−2−22i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ1004-4-4-4444-4-2000000002-2222-2-222−22−222222−22−222200000000002i3−2i300−2i32i300−222−22−2−22−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ1014-4-4-4444-4-2000000002-2222-2-2−222222−22−222222−220000000000−2i32i3002i3−2i3002−2−22−222−2−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ1024-4-4-4444-4-2000000002-2222-2-2−222222−22−222222−2200000000002i3−2i300−2i32i3002−2−22−222−2i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000

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