Finite Group Databasebeta

← Group #11798205

Character table — Group #11798205

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444442424242424242424242424243636363636363636484848484848
order12222233446666666666888834666666666881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444121212121212121216161616161616164412121212
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
χ51111-1-11111111-1-1-1-111111111-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-1
χ61111-1-11111111-1-1-1-111111111-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111
χ71111-1-11111111-1-1-1-111111111-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-111
χ81111-1-11111111-1-1-1-111111111-1-1-111-1-1-1-11-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-1
χ922222222222222222222-2-2-2-222222222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ1022222222-2-2222222222200002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022−2−222−2−2000000
χ1122222222-2-2222222222200002-222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2−222−2−222000000
χ122222222-12222-12222-1-122222-12-1-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-1
χ132222222-12222-12222-1-122222-12-1-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-21111
χ142222222-12222-12222-1-12-2-2-2-2-12-1-1-1-1-1-1-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000−i3i3−i3i3
χ152222222-12222-12222-1-12-2-2-2-2-12-1-1-1-1-1-1-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000i3−i3i3−i3
χ16222222-1222-1-12-1-1-1-122-12222-1222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ17222222-1222-1-12-1-1-1-122-12222-1222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ18222222-1222-1-12-1-1-1-122-1-2-2-2-2-1222-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000−i3−i3i3i3−i3−i3i3i300000000000000
χ19222222-1222-1-12-1-1-1-122-1-2-2-2-2-1222-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000i3i3−i3−i3i3i3−i3−i300000000000000
χ202222-2-22222222-2-2-2-2222-2-2-2-22-2-2-222-2-2-2-22222-2-22-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000
χ212222-2-222-2-2222-2-2-2-2222000022-2-222-2-2-2-2200-222-222-2-22222-2-2-2-20000000000000000000000000000000000000000000022−2−2−2−222000000
χ222222-2-222-2-2222-2-2-2-2222000022-2-222-2-2-2-2200-222-222-2-22222-2-2-2-200000000000000000000000000000000000000000000−2−22222−2−2000000
χ232222-2-22-12222-1-2-2-2-2-1-122222-1-211-1-11111-1-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000002-2-1-111
χ242222-2-22-12222-1-2-2-2-2-1-122222-1-211-1-11111-1-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000-2211-1-1
χ252222-2-22-12222-1-2-2-2-2-1-12-2-2-2-2-1-211-1-11111-122-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3
χ262222-2-22-12222-1-2-2-2-2-1-12-2-2-2-2-1-211-1-11111-122-1112-2-2-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3
χ272222-2-2-1222-1-12111122-12222-1-2-2-2-1-11111-1-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122-2-2-1-1-1-1111100000000000000
χ282222-2-2-1222-1-12111122-12222-1-2-2-2-1-11111-1-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2221111-1-1-1-100000000000000
χ292222-2-2-1222-1-12111122-1-2-2-2-2-1-2-2-2-1-11111-1222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−i3−i3i3i3i3i3−i3−i300000000000000
χ302222-2-2-1222-1-12111122-1-2-2-2-2-1-2-2-2-1-11111-1222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000i3i3−i3−i3−i3−i3i3i300000000000000
χ3122-2-22-222002-2222-2-2-2-2-222−2−2202-22-222-2-2-22−2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2000000000000−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−ζ43000000
χ3222-2-22-222002-2222-2-2-2-2-222−2−2202-22-222-2-2-22−2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2000000000000ζ25−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+ζ43000000
χ3322-2-22-222002-2222-2-2-2-2-2−2−222202-22-222-2-2-2−220000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222000000000000ζ11−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+ζ47000000
χ3422-2-22-222002-2222-2-2-2-2-2−2−222202-22-222-2-2-2−220000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222000000000000−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−ζ47000000
χ3522-2-2-2222002-22-2-222-2-2-222−2−220-222-2-2-222-2−22000000000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−22222000000000000−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+ζ43000000
χ3622-2-2-2222002-22-2-222-2-2-222−2−220-222-2-2-222-2−22000000000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−22222000000000000ζ25−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−ζ43000000
χ3722-2-2-2222002-22-2-222-2-2-2−2−22220-222-2-2-222-22−20000000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−2000000000000ζ11−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−ζ47000000
χ3822-2-2-2222002-22-2-222-2-2-2−2−22220-222-2-2-222-22−20000000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−2000000000000−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+ζ47000000
χ392-2-220022-22-2-2-20000-2222-22-22000-2-20000200-200-200-2-2000022222-22-22-22-222-2-222-2-20000000000000000002-200002-22-200000000000000
χ402-2-220022-22-2-2-20000-2222-22-22000-2-20000200-200-200-2-2000022222-22-22-22-222-2-222-2-2000000000000000000-220000-22-2200000000000000
χ412-2-220022-22-2-2-20000-222-22-222000-2-20000200-200-200-2-200002222-22-22-22-22-2-222-2-22200000000000000002-2002-22-2000000000000000000
χ422-2-220022-22-2-2-20000-222-22-222000-2-20000200-200-200-2-200002222-22-22-22-22-2-222-2-2220000000000000000-2200-22-22000000000000000000
χ432-2-2200-12-2211-2−i3i3−i3i3-22-12-22-2-100011−i3i3−i3i3-100-2001−i3i311−i3−i3i3i32-1-1-1-11-112-22-2-1-111-1-111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3002-2−i3i3i3−i3-11-1100000000000000
χ442-2-2200-12-2211-2−i3i3−i3i3-22-12-22-2-100011−i3i3−i3i3-100-2001−i3i311−i3−i3i3i32-1-1-1-11-112-22-2-1-111-1-111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i300-22i3−i3−i3i31-11-100000000000000
χ452-2-2200-12-2211-2−i3i3−i3i3-22-1-22-22-100011−i3i3−i3i3-100-2001−i3i311−i3−i3i3i32-1-1-11-11-1-22-2211-1-111-1-1i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32-200-11-11−i3i3i3−i300000000000000
χ462-2-2200-12-2211-2−i3i3−i3i3-22-1-22-22-100011−i3i3−i3i3-100-2001−i3i311−i3−i3i3i32-1-1-11-11-1-22-2211-1-111-1-1i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3-22001-11-1i3−i3−i3i300000000000000
χ472-2-2200-12-2211-2i3−i3i3−i3-22-12-22-2-100011i3−i3i3−i3-100-2001i3−i311i3i3−i3−i32-1-1-1-11-112-22-2-1-111-1-111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3002-2i3−i3−i3i3-11-1100000000000000
χ482-2-2200-12-2211-2i3−i3i3−i3-22-12-22-2-100011i3−i3i3−i3-100-2001i3−i311i3i3−i3−i32-1-1-1-11-112-22-2-1-111-1-111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i300-22−i3i3i3−i31-11-100000000000000
χ492-2-2200-12-2211-2i3−i3i3−i3-22-1-22-22-100011i3−i3i3−i3-100-2001i3−i311i3i3−i3−i32-1-1-11-11-1-22-2211-1-111-1-1−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i32-200-11-11i3−i3−i3i300000000000000
χ502-2-2200-12-2211-2i3−i3i3−i3-22-1-22-22-100011i3−i3i3−i3-100-2001i3−i311i3i3−i3−i32-1-1-11-11-1-22-2211-1-111-1-1−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3-22001-11-1−i3i3i3−i300000000000000
χ514444444-2-4-444-24444-2-240000-2-4-2-2-2-2-2-2-2-2-200222-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000
χ52444444-24-4-4-2-24-2-2-2-244-20000-2-444-2-2-2-2-2-2-200-4-4-4222222222-42220000000000000000000000000000000000000000000000000000000000
χ53444444-2-244-2-2-2-2-2-2-2-2-2-2444414-2-2111111144-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ54444444-2-244-2-2-2-2-2-2-2-2-2-2-4-4-4-414-2-21111111-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ55444444-2-2-4-4-2-2-2-2-2-2-2-2-2-200001-4-2-2111111100222222-1-1-1-1-1-122-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-2-2-2-2-200001-4-2-2111111100222222-1-1-1-1-1-122-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
χ574444-4-44-2-4-444-2-4-4-4-4-2-240000-2422-2-22222-2002-2-2-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000
χ584444-4-4-24-4-4-2-24222244-20000-24-4-4-2-22222-200-4442-2-222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-22222-2-2-244441-42211-1-1-1-11-4-4-222-22211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ604444-4-4-2-244-2-2-22222-2-2-2-4-4-4-41-42211-1-1-1-1144-222-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ614444-4-4-2-2-4-4-2-2-22222-2-2-20000142211-1-1-1-11002-2-22-2-2-1-1111122-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
χ624444-4-4-2-2-4-4-2-2-22222-2-2-20000142211-1-1-1-11002-2-22-2-2-1-1111122-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000
χ6344-4-44-44-2004-4-244-4-422-42222−22−22-20-22-22-2-222222−2200000000000000002222−22−22−2−222−2−2−2−222222222−22−22−2−222−2−2−2−2222200000000000000000000000000
χ6444-4-44-44-2004-4-244-4-422-4−22−222222-20-22-22-2-2222−22220000000000000000−22−22222222−2−22222−2−2−2−2−22−22222222−2−22222−2−2−2−200000000000000000000000000
χ6544-4-44-4-2400-224-2-222-4-422222−22−22-204-4-22-2-222222−220000000000000000−2−2222222−22−22−2−2−2−22222−2−2222222−22−22−2−2−2−2222200000000000000000000000000
χ6644-4-44-4-2400-224-2-222-4-42−22−222222-204-4-22-2-2222−2222000000000000000022−2−2−22−2222222222−2−2−2−222−2−2−22−2222222222−2−2−2−200000000000000000000000000
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χ1114-4-4400-2-2-442222i3−2i32i3−2i32-2-2-44-441000-1-1−i3i3−i3i310020022i3−2i3-1-1−i3−i3i3i3-2-2112-22-22-22-2-1-111-1-111−2i32i3−2i32i30000i3i3−i3−i3i3i3−i3−i300000000000000000000000000

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