Finite Group Databasebeta

← Group #11799511

Character table — Group #11799511

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11112244444444448888888888881818181818182424242436363636363636363648484848484848484848
order12224433666666881212121224242424242424244488882244416161616161616164466121212121212
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-111-1-111-1-1
χ611111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1111-1-1-1-111
χ711111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-1-11-1-111-1-111
χ811111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111111-1-1-11111-1-1
χ92222222222222222222222222222-2-2-2-2-2-20000-2000000000000000000
χ1022222222222222-2-22222-2-2-2-2-2-2-2-222-2-2-2-200002000000000000000000
χ112222-2-22222222200-2-2-2-2000000002200000000-222−2−222−2−20000000000
χ122222-2-22222222200-2-2-2-2000000002200000000-2−2−222−2−2220000000000
χ132222-2-22222222200-2-2-2-200000000-2-200000000222−2−2−2−2220000000000
χ142222-2-22222222200-2-2-2-200000000-2-2000000002−2−22222−2−20000000000
χ1522-2-2-2222-2-222-2-20022-2-2000000000022-2-22-200000000000002-2000000
χ1622-2-2-2222-2-222-2-20022-2-2000000000022-2-2-220000000000000-22000000
χ1722-2-2-2222-2-222-2-20022-2-20000000000-2-222002i−2i00000000000002i−2i0000
χ1822-2-2-2222-2-222-2-20022-2-20000000000-2-22200−2i2i0000000000000−2i2i0000
χ192-2-220022-2-2-2-2222−200002222−2−2−2−22-22−22−200000−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−ζ430000000000
χ202-2-220022-2-2-2-2222−200002222−2−2−2−22-22−22−200000ζ25−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+ζ430000000000
χ212-2-220022-2-2-2-2222−200002222−2−2−2−2-22−22−2200000ζ11−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−ζ470000000000
χ222-2-220022-2-2-2-2222−200002222−2−2−2−2-22−22−2200000−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+ζ470000000000
χ232-2-220022-2-2-2-222−220000−2−2−2−222222-2−22−2200000ζ11−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+ζ470000000000
χ242-2-220022-2-2-2-222−220000−2−2−2−222222-2−22−2200000−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−ζ470000000000
χ252-2-220022-2-2-2-222−220000−2−2−2−22222-222−22−200000−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+ζ430000000000
χ262-2-220022-2-2-2-222−220000−2−2−2−22222-222−22−200000ζ25−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−ζ430000000000
χ274444441-21-21-2-21441-21-211-2-211-2-20000000000000000000220000-1-1-1-1
χ284444441-21-21-2-21441-21-211-2-211-2-20000000000000000000-2-200001111
χ294444441-21-21-2-21-4-41-21-2-1-122-1-12200000000000000000002-20000-1-111
χ304444441-21-21-2-21-4-41-21-2-1-122-1-1220000000000000000000-22000011-1-1
χ31444444-21-21-211-244-21-21-2-211-2-211000000222200000000000-1-1-1-10000
χ32444444-21-21-211-244-21-21-2-211-2-211000000-2-2-2-20000000000011110000
χ33444444-21-21-211-2-4-4-21-2122-1-122-1-100000022-2-200000000000-1-1110000
χ34444444-21-21-211-2-4-4-21-2122-1-122-1-1000000-2-2220000000000011-1-10000
χ3544-4-44-41-2-121-22-100-121-23-3003-30000000000000000000000000003−33−3
χ3644-4-44-41-2-121-22-100-121-23-3003-3000000000000000000000000000−33−33
χ3744-4-44-41-2-121-22-100-121-2-3300-330000000000000000000000000003−3−33
χ3844-4-44-41-2-121-22-100-121-2-3300-33000000000000000000000000000−333−3
χ3944-4-44-444-4-444-4-400-4-4440000000000000000000000000000000000000
χ4044-4-4-44-212-1-21-1200-212-1003i−3i003i−3i0000002-22i−2i00000000000-11−ii0000
χ4144-4-4-44-212-1-21-1200-212-1003i−3i003i−3i000000-22−2i2i000000000001-1i−i0000
χ4244-4-4-44-212-1-21-1200-212-100−3i3i00−3i3i0000002-2−2i2i00000000000-11i−i0000
χ4344-4-4-44-212-1-21-1200-212-100−3i3i00−3i3i000000-222i−2i000000000001-1−ii0000
χ444-44-4004444-4-4-4-4000000000000000022−22−222200000000000000000000000
χ454-44-4004444-4-4-4-40000000000000000−222222−2200000000000000000000000
χ468888-8-82-42-42-4-4200-24-240000000000000000000000000000000000000
χ478888-8-8-42-42-422-4004-24-20000000000000000000000000000000000000
χ4888-8-88-8-424-2-42-24004-2-420000000000000000000000000000000000000
χ4988-8-8-882-4-242-44-2002-4-240000000000000000000000000000000000000
χ508-88-8002-42-4-244-200000032−3200−32320000000000000000000000000000000
χ518-88-8002-42-4-244-2000000−32320032−320000000000000000000000000000000
χ528-88-800-42-424-2-2400000000−3i23i2003i2−3i200000000000000000000000000000
χ538-88-800-42-424-2-24000000003i2−3i200−3i23i200000000000000000000000000000
χ548-8-88002-4-24-24-4242−42000022−22−22−2−2222200000000000000000000000000000
χ558-8-88002-4-24-24-42−42420000−2−2222222−22−2200000000000000000000000000000
χ568-8-8800-424-24-22-442−420000−22−22222222−2−200000000000000000000000000000
χ578-8-8800-424-24-22-4−424200002222−2−2−22−222200000000000000000000000000000

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