Finite Group Databasebeta

← Group #11798178

Character table — Group #11798178

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444466888888121212121212121212121212121212121212121212121216161616161616161624243636363648484848487272
order12223344666666888836661212121224242424242424242212122424242446688121216161616242424244848484848484848412121212121212122216161616466121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111
χ51111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ71111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-111
χ81111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2222-2-2220000-2-2-2-2000000000000000000000000000000
χ1022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-222-2-200002222000000000000000000000000000000
χ11222222-2-222222200002222-2-2-2-20000000022-2-20000-22200-2-222−2−200002222−2−2−2−20000000000022−2−20000000
χ12222222-2-222222200002222-2-2-2-20000000022-2-20000-22200-2-2−2−2220000−2−2−2−2222200000000000−2−2220000000
χ13222222-2-222222200002222-2-2-2-200000000-2-2-2-200002-2-2002222−2−200002222−2−2−2−200000000000−2−2220000000
χ14222222-2-222222200002222-2-2-2-200000000-2-2-2-200002-2-20022−2−2220000−2−2−2−222220000000000022−2−20000000
χ1522222-1222-1-12-122222-1-1-1-1-12-12-1-12222-1-100-1-1-1-1-1-1000000022220000-1-1-1-1-1-1-1-1222-1-1-1-1-1-12200000-1-10000
χ1622222-1222-1-12-122222-1-1-1-1-12-12-1-12222-1-100-1-1-1-1-1-1000000022220000-1-1-1-1-1-1-1-1-2-2-2111111-2-200000110000
χ1722222-1222-1-12-122222-1-1-1-1-12-12-1-12222-1-100-1-1-1-1-1-10000000-2-2-2-2000011111111222-1-1-1-1-1-1-2-200000110000
χ1822222-1222-1-12-122222-1-1-1-1-12-12-1-12222-1-100-1-1-1-1-1-10000000-2-2-2-2000011111111-2-2-21111112200000-1-10000
χ192222-1222-122-12-12222-1-1-1-12-12-122-1-1-1-12222-1-1-1-1-1-12-1-122-1-10000-1-1-1-1000000002-1-122-1-1-1-1000000200-1-100
χ202222-1222-122-12-12222-1-1-1-12-12-122-1-1-1-12222-1-1-1-1-1-12-1-122-1-10000-1-1-1-100000000-211-2-21111000000-2001100
χ212222-1222-122-12-12222-1-1-1-12-12-122-1-1-1-122-2-2-1-1-1-1-1-1-211-2-21100001111000000002-1-122-1-1-1-1000000-2001100
χ222222-1222-122-12-12222-1-1-1-12-12-122-1-1-1-122-2-2-1-1-1-1-1-1-211-2-2110000111100000000-211-2-21111000000200-1-100
χ232222-1222-122-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-222-1-111112-1-1-2-2-1-100001111000000000−i3i300−i3−i3i3i3000000000−i3i300
χ242222-1222-122-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-222-1-111112-1-1-2-2-1-100001111000000000i3−i300i3i3−i3−i3000000000i3−i300
χ252222-1222-122-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2-1-11111-21122110000-1-1-1-1000000000−i3i300−i3−i3i3i3000000000i3−i300
χ262222-1222-122-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2-1-11111-21122110000-1-1-1-1000000000i3−i300i3i3−i3−i3000000000−i3i300
χ2722-2-2220022-2-2-2-22−22−222-2-200002−222−2−22−22-20022−2−202-22−200−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4322−2−2−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−ζ4300000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000
χ2822-2-2220022-2-2-2-22−22−222-2-200002−222−2−22−22-20022−2−202-22−200ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4322−2−2ζ25+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+ζ4300000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000
χ2922-2-2220022-2-2-2-22−22−222-2-200002−222−2−22−2-220022−2−20-22−2200−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−2−222−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−ζ4300000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000
χ3022-2-2220022-2-2-2-22−22−222-2-200002−222−2−22−2-220022−2−20-22−2200ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−2−222ζ25+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+ζ4300000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000
χ3122-2-2220022-2-2-2-2−22−2222-2-20000−22−2−222−222-200−2−22202-2−2200ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−2−222ζ11+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−ζ4700000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000
χ3222-2-2220022-2-2-2-2−22−2222-2-20000−22−2−222−222-200−2−22202-2−2200−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−2−222−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+ζ4700000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000
χ3322-2-2220022-2-2-2-2−22−2222-2-20000−22−2−222−22-2200−2−2220-222−200ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4722−2−2ζ11+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−ζ4700000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000
χ3422-2-2220022-2-2-2-2−22−2222-2-20000−22−2−222−22-2200−2−2220-222−200−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4722−2−2−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+ζ4700000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000
χ352-2-2222-22-2-22-2-2222-2-22-22-2-2-222-2-22-22-22200-222-22-200000000000000000000000000000000000000000002-2
χ362-2-2222-22-2-22-2-2222-2-22-22-2-2-222-2-22-22-22200-222-22-20000000000000000000000000000000000000000000-22
χ372-2-2222-22-2-22-2-22-2-2222-22-2-2-22222-22-22-2-200-22-22-22000000000000000000000000000000002-2000002-20000
χ382-2-2222-22-2-22-2-22-2-2222-22-2-2-22222-22-22-2-200-22-22-2200000000000000000000000000000000-2200000-220000
χ392-2-222-1-22-21-1-212-2-222-11-111-2-12-1-1-22-2211001-11-11-10000000000000003−33−33−33−30003−33−33−32-200000-110000
χ402-2-222-1-22-21-1-212-2-222-11-111-2-12-1-1-22-2211001-11-11-10000000000000003−33−33−33−3000−33−33−33-22000001-10000
χ412-2-222-1-22-21-1-212-2-222-11-111-2-12-1-1-22-2211001-11-11-1000000000000000−33−33−33−330003−33−33−3-22000001-10000
χ422-2-222-1-22-21-1-212-2-222-11-111-2-12-1-1-22-2211001-11-11-1000000000000000−33−33−33−33000−33−33−332-200000-110000
χ4344444-2444-2-24-24-4-4-4-4-2-2-2-2-24-2422-4-4-4-42200-2-22222000000000000000000000000000000000000000000000
χ4444444-2-4-44-2-24-240000-2-2-2-22-42-4000000000022000000000002222−22−220000−2−2−2−222220000000000000000000000
χ4544444-2-4-44-2-24-240000-2-2-2-22-42-400000000002200000000000−22−22222200002222−2−2−2−20000000000000000000000
χ464444-24-4-4-244-24-20000-2-2-2-2-42-420000000044220000-4-2-2002200000000000000000000000000000000000000
χ474444-24-4-4-244-24-20000-2-2-2-2-42-4200000000-4-422000042200-2-200000000000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200111111000000000000000000000004-2-2-2-211110000000000000
χ494444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20011111100000000000000000000000-42222-1-1-1-10000000000000
χ504444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220011-1-1-1-1000000000000000000000000−2i32i300i3i3−i3−i30000000000000
χ514444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220011-1-1-1-10000000000000000000000002i3−2i300−i3−i3i3i30000000000000
χ5244-4-44-2004-22-42-422−2222−22-2-2220000−222222−22−22−220000−2−2220000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000ζ25+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+ζ430000000000000000000000
χ5344-4-44-2004-22-42-422−2222−22-2-2220000−222222−22−22−220000−2−22200000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000−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−ζ430000000000000000000000
χ5444-4-44-2004-22-42-4−2222−2222-2-22200002−2−22−2222222−2000022−2−200000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000−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+ζ470000000000000000000000
χ5544-4-44-2004-22-42-4−2222−2222-2-22200002−2−22−2222222−2000022−2−20000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000ζ11+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−ζ470000000000000000000000
χ5644-4-4-2400-24-42-4222−2222−22-2-222000022−22−2−22222−224-400−2−2220-2222−22000000−2−222000000000000000000000000000000
χ5744-4-4-2400-24-42-4222−2222−22-2-222000022−22−2−22222−22-4400−2−22202-2−222200000022−2−2000000000000000000000000000000
χ5844-4-4-2400-24-42-42−2222−2222-2-2220000−222222−2−2−22224-40022−2−20-22−222200000022−2−2000000000000000000000000000000
χ5944-4-4-2400-24-42-42−2222−2222-2-2220000−222222−2−2−2222-440022−2−202-222−22000000−2−222000000000000000000000000000000
χ604-44-44400-4-4-444-422−22−22224-4-440000−222222−22−222222−22000022−22−2222000000000000000000000000000000000000000000000
χ614-44-44400-4-4-444-4−222222−224-4-44000022−22−222222−22−22220000−222222−22000000000000000000000000000000000000000000000
χ624-44-44-200-4224-2-422−22−2222-222-200002−222−22−2222−220000−222−2000000000000000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000
χ634-44-44-200-4224-2-422−22−2222-222-200002−222−22−2222−220000−222−2000000000000000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000
χ644-44-44-200-4224-2-4−222222−22-222-20000−22−222222−222−200002−2−22000000000000000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000
χ654-44-44-200-4224-2-4−222222−22-222-20000−22−222222−222−200002−2−22000000000000000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000
χ664-44-4-24002-4-4-24222−22−2222-222-20000−2222−222−222−220000−222−20000023−2300006−66−6000000000000000000000000000000
χ674-44-4-24002-4-4-24222−22−2222-222-20000−2222−222−222−220000−222−200000−23230000−66−66000000000000000000000000000000
χ684-44-4-24002-4-4-242−222222−22-222-2000022−222−2−22−222200002−2−220000023−230000−66−66000000000000000000000000000000
χ694-44-4-24002-4-4-242−222222−22-222-2000022−222−2−22−222200002−2−2200000−232300006−66−6000000000000000000000000000000
χ704-4-44444-4-4-44-4-4400004-44-444-4-400000000004-40000000000000000000000000000000000000000000000000
χ714-4-444-24-4-42-2-4240000-22-22-242-40000000000-2200000000000000000006−66−6−66−660000000000000000000000
χ724-4-444-24-4-42-2-4240000-22-22-242-40000000000-220000000000000000000−66−666−66−60000000000000000000000
χ734-4-444-2-44-42-2-42444-4-4-22-222-4-24224-44-4-2-2002-2-22-22000000000000000000000000000000000000000000000
χ744-4-44-244-42-442-4-20000-22-224-2-420000000000-2200000000000000023−23−2323000000000000000000000000000000
χ754-4-44-244-42-442-4-20000-22-224-2-420000000000-22000000000000000−232323−23000000000000000000000000000000
χ764-4-44-24-442-442-4-244-4-4-22-22-424-2-4-4-22-2244002-2-22-22000000000000000000000000000000000000000000000
χ774-4-44-24-442-442-4-2-4-444-22-22-424-2442-22-2-4-4002-22-22-2000000000000000000000000000000000000000000000
χ784-4-44-2-2-4422-222-244-4-41-11-122-2-222-22-22-2-200-111-11-100000000000000000000000000003i−3i−3i3i0000000000000
χ794-4-44-2-2-4422-222-244-4-41-11-122-2-222-22-22-2-200-111-11-10000000000000000000000000000−3i3i3i−3i0000000000000
χ804-4-44-2-2-4422-222-2-4-4441-11-122-2-2-2-22-22-22200-11-11-110000000000000000000000000023−23−33−330000000000000
χ814-4-44-2-2-4422-222-2-4-4441-11-122-2-2-2-22-22-22200-11-11-1100000000000000000000000000−23233−33−30000000000000
χ828888-4-4-8-8-4-4-4-4-4-40000222244440000000000-2-20000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-4444442−4242−4222-2-20000−2222−22−222222−2222000022−2−2000000000000000000000000000000000000000000000
χ8488-8-8-4-400-4-44444−4242−424222-2-2000022−222222−22−2222−220000−2−222000000000000000000000000000000000000000000000
χ858-88-8-4-400444-4-4442−42−42422-2-22000022−22−222222−22−222200002−2−22000000000000000000000000000000000000000000000
χ868-88-8-4-400444-4-44−424242−422-2-220000−222222−22−222222−220000−222−2000000000000000000000000000000000000000000000
χ878-8-88-4-48-844-444-400002-22-2-4-44400000000002-20000000000000000000000000000000000000000000000000

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