Finite Group Databasebeta

← Group #11798105

Character table — Group #11798105

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11112244444444448888888888881818181818182424242436363636363636363648484848484848484848
order12224433666666881212121224242424242424242288884444416161616161616162466121212121212
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1
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
χ611111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-11-1-11111-1-1
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
χ811111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111111-111-1-1-1-111
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
χ152-22-200222-2-2-22-22−200002222−2−2−2−22-222−2−200000−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
χ162-22-200222-2-2-22-22−200002222−2−2−2−22-222−2−200000ζ25+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
χ172-22-200222-2-2-22-22−200002222−2−2−2−2-22−2−22200000ζ11+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
χ182-22-200222-2-2-22-22−200002222−2−2−2−2-22−2−22200000−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
χ192-22-200222-2-2-22-2−220000−2−2−2−222222-2−2−22200000ζ11+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
χ202-22-200222-2-2-22-2−220000−2−2−2−222222-2−2−22200000−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
χ212-22-200222-2-2-22-2−220000−2−2−2−22222-2222−2−200000−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
χ222-22-200222-2-2-22-2−220000−2−2−2−22222-2222−2−200000ζ25+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
χ232-2-22-2222-2-2-22-2200-2-22200000000002-22-2002-2000000000000000002-2
χ242-2-22-2222-2-2-22-2200-2-22200000000002-22-200-2200000000000000000-22
χ252-2-22-2222-2-2-22-2200-2-2220000000000-22-222-2000000000000000002-200
χ262-2-22-2222-2-2-22-2200-2-2220000000000-22-22-2200000000000000000-2200
χ274444441-211-2-2-2144-21-2111-2-211-2-20000002222000000000000000-1-1-1-1
χ284444441-211-2-2-2144-21-2111-2-211-2-2000000-2-2-2-20000000000000001111
χ294444441-211-2-2-21-4-4-21-21-1-122-1-12200000022-2-2000000000000000-1-111
χ304444441-211-2-2-21-4-4-21-21-1-122-1-122000000-2-22200000000000000011-1-1
χ31444444-21-2-2111-2441-21-2-2-211-2-211000000000000000000022-1-1-1-10000
χ32444444-21-2-2111-2441-21-2-2-211-2-2110000000000000000000-2-211110000
χ33444444-21-2-2111-2-4-41-21-222-1-122-1-100000000000000000002-2-1-1110000
χ34444444-21-2-2111-2-4-41-21-222-1-122-1-10000000000000000000-2211-1-10000
χ3544-4-40044-444-4-4-4000000000000000022−22−222200000000000000000000000
χ3644-4-40044-444-4-4-40000000000000000−222222−2200000000000000000000000
χ374-4-444-444-4-4-44-440044-4-40000000000000000000000000000000000000
χ384-4-444-4-2122-11-1-2001-2-12003i−3i003i−3i000000000000000000000−i3i33−30000
χ394-4-444-4-2122-11-1-2001-2-12003i−3i003i−3i000000000000000000000i3−i3−330000
χ404-4-444-4-2122-11-1-2001-2-1200−3i3i00−3i3i000000000000000000000−i3i3−330000
χ414-4-444-4-2122-11-1-2001-2-1200−3i3i00−3i3i000000000000000000000i3−i33−30000
χ424-4-44-441-2-1-12-221002-1-213-3003-3000000002-22-2000000000000000-11-11
χ434-4-44-441-2-1-12-221002-1-213-3003-300000000-22-220000000000000001-11-1
χ444-4-44-441-2-1-12-221002-1-21-3300-33000000002-2-22000000000000000-111-1
χ454-4-44-441-2-1-12-221002-1-21-3300-3300000000-222-20000000000000001-1-11
χ468888-8-82-422-4-4-42004-24-20000000000000000000000000000000000000
χ478888-8-8-42-4-4222-400-24-240000000000000000000000000000000000000
χ4888-8-8002-4-22-444-200000032−3200−32320000000000000000000000000000000
χ4988-8-8002-4-22-444-2000000−32320032−320000000000000000000000000000000
χ5088-8-800-424-42-2-2400000000−3i23i2003i2−3i200000000000000000000000000000
χ5188-8-800-424-42-2-24000000003i2−3i200−3i23i200000000000000000000000000000
χ528-88-8002-42-244-4-242−42000022−22−22−2−2222200000000000000000000000000000
χ538-88-8002-42-244-4-2−42420000−2−2222222−22−2200000000000000000000000000000
χ548-88-800-42-44-2-22442−420000−22−22222222−2−200000000000000000000000000000
χ558-88-800-42-44-2-224−424200002222−2−2−22−222200000000000000000000000000000
χ568-8-888-82-4-2-24-44200-424-20000000000000000000000000000000000000
χ578-8-88-88-4244-22-2-400-242-40000000000000000000000000000000000000

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