Finite Group Databasebeta

← Group #11799850

Character table — Group #11799850

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444442424242424242424242424243636363636363636484848484848
order12223344446666668888121212122366666666666881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444441212121212121212161616161616161624661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111-1-111111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-1
χ61111111-1-111111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111
χ71111111-1-111111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-111
χ81111111-1-111111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-1
χ92222222222222222-2-2-2-222222222222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ102222222-2-22222222-2-2-2-2-2-2-2-2-22-2-2-2-222-2-2-2-222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000
χ11222222-222-222222200002222-22-2-2-2-222-2-2-2-2200-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000000022−2−222−2−2000000
χ12222222-222-222222200002222-22-2-2-2-222-2-2-2-2200-2-222-2-22222-2-2-2-200000000000000000000000000000000000000000000−2−222−2−222000000
χ13222222-2-2-2-22222220000-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022−2−2−2−222000000
χ14222222-2-2-2-22222220000-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2−22222−2−2000000
χ1522222-12222-12-122-1222222222-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-1
χ1622222-12222-12-122-1222222222-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-21111
χ1722222-12222-12-122-1-2-2-2-222222-122-1-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000−i3i3−i3i3
χ1822222-12222-12-122-1-2-2-2-222222-122-1-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000i3−i3i3−i3
χ1922222-12-2-22-12-122-12222-2-2-2-2-2-1-2-211-1-11111-1-2-22-111-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000002-2-1-111
χ2022222-12-2-22-12-122-12222-2-2-2-2-2-1-2-211-1-11111-1-2-22-111-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000-2211-1-1
χ2122222-12-2-22-12-122-1-2-2-2-2-2-2-2-2-2-1-2-211-1-11111-1222-111-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3
χ2222222-12-2-22-12-122-1-2-2-2-2-2-2-2-2-2-1-2-211-1-11111-1222-111-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3
χ232222-1222222-12-1-122222-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ242222-1222222-12-1-122222-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ252222-1222222-12-1-12-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000−i3−i3i3i3−i3−i3i3i300000000000000
χ262222-1222222-12-1-12-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000i3i3−i3−i3i3i3−i3−i300000000000000
χ272222-122-2-222-12-1-1222221111-2-111-2-2-1-11111-1-2-2-12-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122-2-2-1-1-1-1111100000000000000
χ282222-122-2-222-12-1-1222221111-2-111-2-2-1-11111-1-2-2-12-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2221111-1-1-1-100000000000000
χ292222-122-2-222-12-1-12-2-2-2-21111-2-111-2-2-1-11111-122-12-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−i3−i3i3i3i3i3−i3−i300000000000000
χ302222-122-2-222-12-1-12-2-2-2-21111-2-111-2-2-1-11111-122-12-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000i3i3−i3−i3−i3−i3i3i300000000000000
χ3122-2-222-2002-222-2-2-222-2-20000020000-2-20000200-2-200-2-20000222222-2-222-2-22222-2-2-2-20000000000000000002i−2i00002i−2i2i−2i00000000000000
χ3222-2-222-2002-222-2-2-222-2-20000020000-2-20000200-2-200-2-20000222222-2-222-2-22222-2-2-2-2000000000000000000−2i2i0000−2i2i−2i2i00000000000000
χ3322-2-222-2002-222-2-2-2-2-2220000020000-2-20000200-2-200-2-200002222-2-222-2-222-2-2-2-2222200000000000000002i−2i002i−2i2i−2i000000000000000000
χ3422-2-222-2002-222-2-2-2-2-2220000020000-2-20000200-2-200-2-200002222-2-222-2-222-2-2-2-222220000000000000000−2i2i00−2i2i−2i2i000000000000000000
χ3522-2-2-12-2002-2-1211-222-2-2−i3−i3i3i30-1−i3i30011−i3−i3i3i3-1001-20011−i3−i3i3i3-12-1-1-1-11122-2-2-1-1-1-11111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3002i−2i3−3−33−ii−ii00000000000000
χ3622-2-2-12-2002-2-1211-222-2-2−i3−i3i3i30-1−i3i30011−i3−i3i3i3-1001-20011−i3−i3i3i3-12-1-1-1-11122-2-2-1-1-1-11111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300−2i2i−333−3i−ii−i00000000000000
χ3722-2-2-12-2002-2-1211-222-2-2i3i3−i3−i30-1i3−i30011i3i3−i3−i3-1001-20011i3i3−i3−i3-12-1-1-1-11122-2-2-1-1-1-11111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3002i−2i−333−3−ii−ii00000000000000
χ3822-2-2-12-2002-2-1211-222-2-2i3i3−i3−i30-1i3−i30011i3i3−i3−i3-1001-20011i3i3−i3−i3-12-1-1-1-11122-2-2-1-1-1-11111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300−2i2i3−3−33i−ii−i00000000000000
χ3922-2-2-12-2002-2-1211-2-2-222−i3−i3i3i30-1−i3i30011−i3−i3i3i3-1001-20011−i3−i3i3i3-12-1-111-1-1-2-2221111-1-1-1-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32i−2i00−ii−ii3−3−3300000000000000
χ4022-2-2-12-2002-2-1211-2-2-222−i3−i3i3i30-1−i3i30011−i3−i3i3i3-1001-20011−i3−i3i3i3-12-1-111-1-1-2-2221111-1-1-1-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−2i2i00i−ii−i−333−300000000000000
χ4122-2-2-12-2002-2-1211-2-2-222i3i3−i3−i30-1i3−i30011i3i3−i3−i3-1001-20011i3i3−i3−i3-12-1-111-1-1-2-2221111-1-1-1-1−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i32i−2i00−ii−ii−333−300000000000000
χ4222-2-2-12-2002-2-1211-2-2-222i3i3−i3−i30-1i3−i30011i3i3−i3−i3-1001-20011i3i3−i3−i3-12-1-111-1-1-2-2221111-1-1-1-1−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−2i2i00i−ii−i3−3−3300000000000000
χ432-22-22202i−2i02-2-22-2-22−22−22i−2i2i−2i0200002-20000-2−i2i2002i−2i002i−2i2i−2i00002−22−22−22−222−2−222−2−2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000−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+ζ47000000
χ442-22-22202i−2i02-2-22-2-22−22−22i−2i2i−2i0200002-20000-2−i2i2002i−2i002i−2i2i−2i00002−22−22−22−222−2−222−2−2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000ζ25−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−ζ47000000
χ452-22-22202i−2i02-2-22-2-2−22−222i−2i2i−2i0200002-20000-2i2−i2002i−2i002i−2i2i−2i0000−22−22−22−22−2−222−2−222i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ462-22-22202i−2i02-2-22-2-2−22−222i−2i2i−2i0200002-20000-2i2−i2002i−2i002i−2i2i−2i0000−22−22−22−22−2−222−2−222i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ472-22-2220−2i2i02-2-22-2-22−22−2−2i2i−2i2i0200002-20000-2i2−i200−2i2i00−2i2i−2i2i00002−22−22−22−222−2−222−2−2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
χ482-22-2220−2i2i02-2-22-2-22−22−2−2i2i−2i2i0200002-20000-2i2−i200−2i2i00−2i2i−2i2i00002−22−22−22−222−2−222−2−2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000ζ25−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+ζ47000000
χ492-22-2220−2i2i02-2-22-2-2−22−22−2i2i−2i2i0200002-20000-2−i2i200−2i2i00−2i2i−2i2i0000−22−22−22−22−2−222−2−222−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000ζ11−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−ζ43000000
χ502-22-2220−2i2i02-2-22-2-2−22−22−2i2i−2i2i0200002-20000-2−i2i200−2i2i00−2i2i−2i2i0000−22−22−22−22−2−222−2−222−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000−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+ζ43000000
χ5144444-2-444-4-24-244-200004444-4-2-4-422-2-22222-200-42-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000
χ5244444-2-4-4-4-4-24-244-20000-4-4-4-44-244-2-2-2-2-2-2-2-2-200-4222222222-42220000000000000000000000000000000000000000000000000000000000
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χ564444-2-24444-2-2-2-2-2-2-4-4-4-4-2-2-2-241-2-2-2-21111111-4-4-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-244442222-41222211-1-1-1-11-4-4-2-22211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-2-4-4-4-42222-41222211-1-1-1-1144-2-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-20000-2-2-2-2-41222211-1-1-1-110022-2-2-1-1111122-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-20000-2-2-2-2-41222211-1-1-1-110022-2-2-1-1111122-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-20000222241-2-2-2-21111111002222-1-1-1-1-1-122-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-20000222241-2-2-2-21111111002222-1-1-1-1-1-122-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ6344-4-444400-4-444-4-4-400000000040000-4-400004004400440000-4-4-4-40000000000000000000000000000000000000000000000000000000000
χ6444-4-44-2400-424-2-4-42000000000-20000220000-2004-200-2-20000-42220000000000000000000023−2323−2323−2323−23−2323−232300000000000000000000000000
χ6544-4-44-2400-424-2-4-42000000000-20000220000-2004-200-2-20000-422200000000000000000000−2323−2323−2323−232323−2323−2300000000000000000000000000
χ6644-4-44-2-400424-2-4-4244-4-400000-20000220000-200-42002200004-2-2-244-4-4-2-222-2-2-2-22222000000000000000000000000000000000000000000
χ6744-4-44-2-400424-2-4-42-4-44400000-20000220000-200-42002200004-2-2-2-4-44422-2-22222-2-2-2-2000000000000000000000000000000000000000000
χ6844-4-4-24400-4-4-2422-40000−2i3−2i32i32i30-22i3−2i300222i32i3−2i3−2i3-200-2400-2-2−2i3−2i32i32i32-4220000000000000000000000000000000000000000000000000000000000
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χ1114-4-44-2-200002222-2-2−222222−22−232323−2301002i3−2i3-11−i3i3i3−i3-10000003i−3i3−3−3300−3i3i2−2−222−2−22−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−666−6i6−i6−i6i6−ζ14+ζ46ζ10−ζ26ζ14−ζ46−ζ10+ζ26ζ14−ζ46−ζ10+ζ26−ζ14+ζ46ζ10−ζ2600000000000000000000000000

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