Finite Group Databasebeta

← Group #11800072

Character table — Group #11800072

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
χ1522222-1222-1-122-12222-1-1-1-122-1-122-1-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222-1-1-1-1-1-1000000002000-1-10
χ1622222-1222-1-122-12222-1-1-1-122-1-122-1-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-211111100000000-2000110
χ1722222-1222-1-122-12222-1-1-1-122-1-122-1-1-1-122-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000222-1-1-1-1-1-100000000-2000110
χ1822222-1222-1-122-12222-1-1-1-122-1-122-1-1-1-122-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111100000000-2-2-2111111000000002000-1-10
χ1922222-1222-1-122-1-2-2-2-2-1-1-1-122-1-1-2-21111-2-22222-2-2-2-200000000-1-11111-1-1-1-1111100000000000−i3i3−i3−i3i3i3000000000000−i3i30
χ2022222-1222-1-122-1-2-2-2-2-1-1-1-122-1-1-2-21111-2-22222-2-2-2-200000000-1-11111-1-1-1-1111100000000000i3−i3i3i3−i3−i3000000000000i3−i30
χ2122222-1222-1-122-1-2-2-2-2-1-1-1-122-1-1-2-21111-2-2-2-2-2-2222200000000-1-111111111-1-1-1-100000000000−i3i3−i3−i3i3i3000000000000i3−i30
χ2222222-1222-1-122-1-2-2-2-2-1-1-1-122-1-1-2-21111-2-2-2-2-2-2222200000000-1-111111111-1-1-1-100000000000i3−i3i3i3−i3−i3000000000000−i3i30
χ232222-1222-122-1-122222-1-1-1-1-1-122-1-12222-1-10000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12-1-122-1-1-1-10000000002-1-1000
χ242222-1222-122-1-122222-1-1-1-1-1-122-1-12222-1-10000000022222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-211-2-21111000000000-211000
χ252222-1222-122-1-122222-1-1-1-1-1-122-1-12222-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000111111112-1-122-1-1-1-1000000000-211000
χ262222-1222-122-1-122222-1-1-1-1-1-122-1-12222-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011111111-211-2-211110000000002-1-1000
χ2722-2-2220022-2-2-2-22−22−222-2-200002−222−2−22−22-20022−2−2−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
χ2822-2-2220022-2-2-2-22−22−222-2-200002−222−2−22−22-20022−2−2ζ25−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
χ2922-2-2220022-2-2-2-22−22−222-2-200002−222−2−22−2-2200−2−222−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
χ3022-2-2220022-2-2-2-22−22−222-2-200002−222−2−22−2-2200−2−222ζ25−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
χ3122-2-2220022-2-2-2-2−22−2222-2-20000−22−2−222−222-200−2−222ζ11−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
χ3222-2-2220022-2-2-2-2−22−2222-2-20000−22−2−222−222-200−2−222−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
χ3322-2-2220022-2-2-2-2−22−2222-2-20000−22−2−222−22-220022−2−2ζ11−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
χ3422-2-2220022-2-2-2-2−22−2222-2-20000−22−2−222−22-220022−2−2−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
χ352-22-2222-2-2-2-22-2222-2-22-2-22-222-2-2-22-22-2220000000000000000-222-22-200000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000
χ362-22-2222-2-2-2-22-2222-2-22-2-22-222-2-2-22-22-2220000000000000000-222-22-20000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000
χ372-22-2222-2-2-2-22-22-2-2222-2-22-222-222-22-22-2-2000000002i−2i2i−2i2i−2i2i−2i-22-22-22000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ382-22-2222-2-2-2-22-22-2-2222-2-22-222-222-22-22-2-200000000−2i2i−2i2i−2i2i−2i2i-22-22-2200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ392-22-222-22-2-2-22-2200002-2-222-2-220000000000002-22-2−i2i2−i2i2i2−i2i2−i22-2000000002-22-2−i2i2−i2i2i2−i2i2−i2000000000−i2i2−i2i2i2−i2i2−i20000000
χ402-22-222-22-2-2-22-2200002-2-222-2-220000000000002-22-2i2−i2i2−i2−i2i2−i2i22-2000000002-22-2i2−i2i2−i2−i2i2−i2i2000000000i2−i2i2−i2−i2i2−i2i20000000
χ412-22-222-22-2-2-22-2200002-2-222-2-22000000000000-22-22−i2i2−i2i2i2−i2i2−i22-200000000-22-22−i2i2−i2i2i2−i2i2−i2000000000i2−i2i2−i2−i2i2−i2i20000000
χ422-22-222-22-2-2-22-2200002-2-222-2-22000000000000-22-22i2−i2i2−i2−i2i2−i2i22-200000000-22-22i2−i2i2−i2−i2i2−i2i2000000000−i2i2−i2i2i2−i2i2−i20000000
χ432-22-2-122-21-2-2-112-2-222-111-11-12-2-1-1-22-2211000000002i−2i2i−2i2i−2i2i−2i1-11-11-100000000−ii−ii−ii−ii0−i3i300−i3i3−i3i300000000003−3000
χ442-22-2-122-21-2-2-112-2-222-111-11-12-2-1-1-22-2211000000002i−2i2i−2i2i−2i2i−2i1-11-11-100000000−ii−ii−ii−ii0i3−i300i3−i3i3−i30000000000−33000
χ452-22-2-122-21-2-2-112-2-222-111-11-12-2-1-1-22-221100000000−2i2i−2i2i−2i2i−2i2i1-11-11-100000000i−ii−ii−ii−i0−i3i300−i3i3−i3i30000000000−33000
χ462-22-2-122-21-2-2-112-2-222-111-11-12-2-1-1-22-221100000000−2i2i−2i2i−2i2i−2i2i1-11-11-100000000i−ii−ii−ii−i0i3−i300i3−i3i3−i300000000003−3000
χ472-2-222200-2-22-22-22−2−222-22-20000−222−2−222−2002-22−2−22−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−ζ43002−2−22002-22−2−22−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−ζ43000000000−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+ζ470000000
χ482-2-222200-2-22-22-22−2−222-22-20000−222−2−222−2002-22−2−22ζ25+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+ζ43002−2−22002-22−2−22ζ25+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+ζ43000000000ζ11+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−ζ470000000
χ492-2-222200-2-22-22-22−2−222-22-20000−222−2−222−200-22−222−2−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−ζ43002−2−2200-22−222−2−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−ζ43000000000ζ11+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−ζ470000000
χ502-2-222200-2-22-22-22−2−222-22-20000−222−2−222−200-22−222−2ζ25+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+ζ43002−2−2200-22−222−2ζ25+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+ζ43000000000−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+ζ470000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.