Finite Group Databasebeta

← Group #11800076

Character table — Group #11800076

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222244444444444444446666666666666666888888121212121212121212121212121212121616161616161616161818181818181818484848484848144
order12223344666666888836661212121224242424242424244444888816161616161616161212242424241212121224242424484848484848484841212121212121212161616161616161644121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000022-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ1022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ11222222-2-222222200002222-2-2-2-20000000022-2-200002222−2−2−2−2-2-2000022-2-200002222−2−2−2−20000000002222−2−2−2−20000000
χ12222222-2-222222200002222-2-2-2-20000000022-2-20000−2−2−2−22222-2-2000022-2-20000−2−2−2−22222000000000−2−2−2−222220000000
χ13222222-2-222222200002222-2-2-2-200000000-2-22200002222−2−2−2−2-2-20000-2-22200002222−2−2−2−2000000000−2−2−2−222220000000
χ14222222-2-222222200002222-2-2-2-200000000-2-2220000−2−2−2−22222-2-20000-2-2220000−2−2−2−222220000000002222−2−2−2−20000000
χ1522222-1222-1-122-12222-1-1-1-12-12-122-1-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222-1-1-1-1-1-1000000002000-1-10
χ1622222-1222-1-122-12222-1-1-1-12-12-122-1-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-211111100000000-2000110
χ1722222-1222-1-122-12222-1-1-1-12-12-122-1-1-1-122-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000222-1-1-1-1-1-100000000-2000110
χ1822222-1222-1-122-12222-1-1-1-12-12-122-1-1-1-122-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000-2-2-2111111000000002000-1-10
χ1922222-1222-1-122-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-22222-2-2-2-200000000-1-11111-1-1-1-1111100000000000−i3i3−i3−i3i3i3000000000000−i3i30
χ2022222-1222-1-122-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-22222-2-2-2-200000000-1-11111-1-1-1-1111100000000000i3−i3i3i3−i3−i3000000000000i3−i30
χ2122222-1222-1-122-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2-2-2222200000000-1-111111111-1-1-1-100000000000−i3i3−i3−i3i3i3000000000000i3−i30
χ2222222-1222-1-122-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2-2-2222200000000-1-111111111-1-1-1-100000000000i3−i3i3i3−i3−i3000000000000−i3i30
χ232222-1222-122-1-122222-1-1-1-1-12-12-1-12222-1-10000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12-1-122-1-1-1-10000000002-1-1000
χ242222-1222-122-1-122222-1-1-1-1-12-12-1-12222-1-10000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-211-2-21111000000000-211000
χ252222-1222-122-1-122222-1-1-1-1-12-12-1-12222-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000111111112-1-122-1-1-1-1000000000-211000
χ262222-1222-122-1-122222-1-1-1-1-12-12-1-12222-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011111111-211-2-211110000000002-1-1000
χ2722-2-222002-22-2-2-22−22−222-2-200002−222−2−22−22-20022−2−2−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ430022−2−22-20022−2−2−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43000000000−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ430000000
χ2822-2-222002-22-2-2-22−22−222-2-200002−222−2−22−22-20022−2−2ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ430022−2−22-20022−2−2ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43000000000ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ430000000
χ2922-2-222002-22-2-2-22−22−222-2-200002−222−2−22−2-2200−2−222−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ430022−2−2-2200−2−222−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43000000000ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ430000000
χ3022-2-222002-22-2-2-22−22−222-2-200002−222−2−22−2-2200−2−222ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ430022−2−2-2200−2−222ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43000000000−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ430000000
χ3122-2-222002-22-2-2-2−22−2222-2-20000−22−2−222−222-200−2−222ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ4700−2−2222-200−2−222ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47000000000ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ470000000
χ3222-2-222002-22-2-2-2−22−2222-2-20000−22−2−222−222-200−2−222−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ4700−2−2222-200−2−222−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47000000000−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ470000000
χ3322-2-222002-22-2-2-2−22−2222-2-20000−22−2−222−22-220022−2−2ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ4700−2−222-220022−2−2ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47000000000−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ470000000
χ3422-2-222002-22-2-2-2−22−2222-2-20000−22−2−222−22-220022−2−2−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ4700−2−222-220022−2−2−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47000000000ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ470000000
χ352-22-22200-2-2-22-222−2−222-2-220000−222−22−22−2002-22−22−2−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−ζ43002−22−2002-22−22−2−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−ζ43000000000ζ11+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+ζ470000000
χ362-22-22200-2-2-22-222−2−222-2-220000−222−22−22−2002-22−22−2ζ25+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+ζ43002−22−2002-22−22−2ζ25+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+ζ43000000000−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−ζ470000000
χ372-22-22200-2-2-22-222−2−222-2-220000−222−22−22−200-22−22−22−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−ζ43002−22−200-22−22−22−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−ζ43000000000−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−ζ470000000
χ382-22-22200-2-2-22-222−2−222-2-220000−222−22−22−200-22−22−22ζ25+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+ζ43002−22−200-22−22−22ζ25+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+ζ43000000000ζ11+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+ζ470000000
χ392-22-22200-2-2-22-22−222−22-2-2200002−2−22−22−22002-2−22−22ζ11+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−ζ4700−22−22002-2−22−22ζ11+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−ζ47000000000ζ25+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−ζ430000000
χ402-22-22200-2-2-22-22−222−22-2-2200002−2−22−22−22002-2−22−22−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+ζ4700−22−22002-2−22−22−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+ζ47000000000−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+ζ430000000
χ412-22-22200-2-2-22-22−222−22-2-2200002−2−22−22−2200-222−22−2ζ11+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−ζ4700−22−2200-222−22−2ζ11+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−ζ47000000000−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+ζ430000000
χ422-22-22200-2-2-22-22−222−22-2-2200002−2−22−22−2200-222−22−2−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+ζ4700−22−2200-222−22−2−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+ζ47000000000ζ25+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−ζ430000000
χ432-2-22222-2-22-2-22-222-2-22-22-2-222-2-2-22-2-22220000000000000000-222-2-2200000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000
χ442-2-22222-2-22-2-22-222-2-22-22-2-222-2-2-22-2-22220000000000000000-222-2-220000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000
χ452-2-22222-2-22-2-22-2-2-2222-22-2-222-222-222-2-2-2000000002i−2i−2i2i−2i2i2i−2i-22-222-2000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ462-2-22222-2-22-2-22-2-2-2222-22-2-222-222-222-2-2-200000000−2i2i2i−2i2i−2i−2i2i-22-222-200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ472-2-2222-22-22-2-22-200002-22-22-2-220000000000002-2-22−i2i2i2−i2−i2i2i2−i22-2000000002-2-22−i2i2i2−i2−i2i2i2−i2000000000i2−i2−i2i2−i2i2i2−i20000000
χ482-2-2222-22-22-2-22-200002-22-22-2-220000000000002-2-22i2−i2−i2i2i2−i2−i2i22-2000000002-2-22i2−i2−i2i2i2−i2−i2i2000000000−i2i2i2−i2i2−i2−i2i20000000
χ492-2-2222-22-22-2-22-200002-22-22-2-22000000000000-222-2−i2i2i2−i2−i2i2i2−i22-200000000-222-2−i2i2i2−i2−i2i2i2−i2000000000−i2i2i2−i2i2−i2−i2i20000000
χ502-2-2222-22-22-2-22-200002-22-22-2-22000000000000-222-2i2−i2−i2i2i2−i2−i2i22-200000000-222-2i2−i2−i2i2i2−i2−i2i2000000000i2−i2−i2i2−i2i2i2−i20000000
χ512-2-22-122-212-21-1-2-2-222-11-1112-1-2-1-1-222-211000000002i−2i−2i2i−2i2i2i−2i1-11-1-1100000000−iii−ii−i−ii03−3003−33−30000000000−i3i3000
χ522-2-22-122-212-21-1-2-2-222-11-1112-1-2-1-1-222-211000000002i−2i−2i2i−2i2i2i−2i1-11-1-1100000000−iii−ii−i−ii0−3300−33−330000000000i3−i3000
χ532-2-22-122-212-21-1-2-2-222-11-1112-1-2-1-1-222-21100000000−2i2i2i−2i2i−2i−2i2i1-11-1-1100000000i−i−ii−iii−i03−3003−33−30000000000i3−i3000
χ542-2-22-122-212-21-1-2-2-222-11-1112-1-2-1-1-222-21100000000−2i2i2i−2i2i−2i−2i2i1-11-1-1100000000i−i−ii−iii−i0−3300−33−330000000000−i3i3000
χ5544444-2-4-44-2-244-20000-2-2-2-2-42-420000000044-4-4000000000000220000-2-222000000000000000000000000000000000000
χ5644444-2-4-44-2-244-20000-2-2-2-2-42-4200000000-4-44400000000000022000022-2-2000000000000000000000000000000000000
χ574444-2444-244-2-24-4-4-4-4-2-2-2-2-24-2422-4-4-4-4220000000000000000-2-222220000000000000000000000000000000000000000
χ584444-24-4-4-244-2-240000-2-2-2-22-42-4000000000000000022222222−22−22−22−2222000000000000−2−2−2−22222000000000000000000000000
χ594444-24-4-4-244-2-240000-2-2-2-22-42-40000000000000000−22−22−22−2222222222220000000000002222−2−2−2−2000000000000000000000000
χ604444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-2000000000000000011111100000000000000004-2-2-2-21111000000000000000
χ614444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000000000001111110000000000000000-42222-1-1-1-1000000000000000
χ624444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000000000000011-1-1-1-10000000000000000000−2i32i3i3i3−i3−i3000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000000000000011-1-1-1-100000000000000000002i3−2i3−i3−i3i3i3000000000000000
χ6444-4-44-20042-2-4-4222−2222−22-2-222000022−22−2−22222−224-4002222−22−220000000000−2−222-2200−2−22200000000000000000000000000000000
χ6544-4-44-20042-2-4-4222−2222−22-2-222000022−22−2−22222−22-4400−22−2222220000000000−2−2222-20022−2−200000000000000000000000000000000
χ6644-4-44-20042-2-4-42−2222−2222-2-2220000−222222−2−2−22224-400−22−222222000000000022−2−2-220022−2−200000000000000000000000000000000
χ6744-4-44-20042-2-4-42−2222−2222-2-2220000−222222−2−2−2222-44002222−22−22000000000022−2−22-200−2−22200000000000000000000000000000000
χ6844-4-4-2400-2-4422-422−2222−22-2-2220000−222222−22−22−2200000000−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300−2−22200000000ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43000000000000000000000000
χ6944-4-4-2400-2-4422-422−2222−22-2-2220000−222222−22−22−22000000002ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ4300−2−22200000000−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43000000000000000000000000
χ7044-4-4-2400-2-4422-4−2222−2222-2-22200002−2−22−2222222−2000000002ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ470022−2−200000000−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47000000000000000000000000
χ7144-4-4-2400-2-4422-4−2222−2222-2-22200002−2−22−2222222−200000000−2ζ11+2ζ13+2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ470022−2−200000000ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47000000000000000000000000
χ724-44-44-200-4224-4-222−22−2222-222-20000−2222−22−2222−22004-422−2222−220000000000−22−2200-22−22−2200000000000000000000000000000000
χ734-44-44-200-4224-4-222−22−2222-222-20000−2222−22−2222−2200-44−2222−22220000000000−22−22002-22−22−200000000000000000000000000000000
χ744-44-44-200-4224-4-2−222222−22-222-2000022−222−22−2−2222004-4−2222−222200000000002−22−200-222−22−200000000000000000000000000000000
χ754-44-44-200-4224-4-2−222222−22-222-2000022−222−22−2−222200-4422−2222−2200000000002−22−2002-2−22−2200000000000000000000000000000000
χ764-44-4-24002-4-4-22422−22−2222-222-200002−222−2222−22−2200000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300−22−2200000000ζ25+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+ζ43000000000000000000000000
χ774-44-4-24002-4-4-22422−22−2222-222-200002−222−2222−22−22000000002ζ25+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+2ζ4300−22−2200000000−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−ζ43000000000000000000000000
χ784-44-4-24002-4-4-224−222222−22-222-20000−22−2222−22222−2000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47002−22−200000000−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+ζ47000000000000000000000000
χ794-44-4-24002-4-4-224−222222−22-222-20000−22−2222−22222−200000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47002−22−200000000ζ11+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−ζ47000000000000000000000000
χ804-4-444-24-4-4-22-44244-4-4-22-22-4-242-4-4-222-24400000000000000002-2-222-20000000000000000000000000000000000000000
χ814-4-444-24-4-4-22-442-4-444-22-22-4-242442-2-22-4-400000000000000002-22-2-220000000000000000000000000000000000000000
χ824-4-444-2-44-4-22-4420000-22-2242-4-20000000000004-4-4400000000-2200000000-222-200000000000000000000000000000000
χ834-4-444-2-44-4-22-4420000-22-2242-4-2000000000000-444-400000000-22000000002-2-2200000000000000000000000000000000
χ844-4-44-244-424-42-2-444-4-4-22-2224-2-4224-4-44-2-200000000000000002-2-222-20000000000000000000000000000000000000000
χ854-4-44-24-4424-42-2-40000-22-22-2-4240000000000000000−2i22i22i2−2i2−2i22i22i2−2i2-22000000000000i2−i2−i2i2i2−i2−i2i2000000000000000000000000
χ864-4-44-24-4424-42-2-40000-22-22-2-42400000000000000002i2−2i2−2i22i22i2−2i2−2i22i2-22000000000000−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ874-4-44-2-24-42-222-2244-4-41-11-12-2-2222-222-2-2-20000000000000000-111-1-110000000000000000000003i−3i−3i3i000000000000000
χ884-4-44-2-24-42-222-2244-4-41-11-12-2-2222-222-2-2-20000000000000000-111-1-11000000000000000000000−3i3i3i−3i000000000000000
χ894-4-44-2-24-42-222-22-4-4441-11-12-2-22-2-22-2-22220000000000000000-11-111-10000000000000000023−2300−33−33000000000000000
χ904-4-44-2-24-42-222-22-4-4441-11-12-2-22-2-22-2-22220000000000000000-11-111-100000000000000000−2323003−33−3000000000000000
χ918888-4-4-8-8-4-4-4-4-4-4000022224444000000000000000000000000-2-200000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-444442−4242−4222-2-20000−2222−22−222222−222200000000000000000022−2−20000000000000000000000000000000000000000
χ9388-8-8-4-400-44-4444−4242−424222-2-2000022−222222−22−2222−22000000000000000000−2−2220000000000000000000000000000000000000000
χ948-88-8-4-400444-44-442−42−42422-2-22000022−22−2222−2222−22220000000000000000002−22−20000000000000000000000000000000000000000
χ958-88-8-4-400444-44-4−424242−422-2-220000−222222−2222−2222−22000000000000000000−22−220000000000000000000000000000000000000000
χ968-8-88-4-4-884-444-4400002-22-2-444-40000000000000000000000002-200000000000000000000000000000000000000000000

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