Finite Group Databasebeta

← Group #11798887

Character table — Group #11798887

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618183636364848484848487272
order12223344666666888836661212121224242424242424244412122424242416161616161616164848484848484848484848484848484812121212121212124448822666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ71111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111
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
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-20022-2-2-2-200000000000000000000000000000000222-2-200000000
χ1022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-20022-2-2-2-200000000000000000000000000000000-2-2-22200000000
χ11222222-2-222222200002222-2-2-2-20000000000-2-2000022−2−222−2−22222−2−2−2−22222−2−2−2−20000000022-20000000000
χ12222222-2-222222200002222-2-2-2-20000000000-2-2000022−2−2−2−2222222−2−2−2−2−2−2−2−2222200000000-2-220000000000
χ13222222-2-222222200002222-2-2-2-20000000000-2-20000−2−22222−2−2−2−2−2−222222222−2−2−2−200000000-2-220000000000
χ14222222-2-222222200002222-2-2-2-20000000000-2-20000−2−222−2−222−2−2−2−22222−2−2−2−222220000000022-20000000000
χ1522222-12222-1-12-12222-1-1-1-12-12-122-1-122-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000200-1-100
χ1622222-12222-1-12-12222-1-1-1-12-12-122-1-122-1-122-1-1-1-1-1-10000-2-2-2-2000000001111111122-1-1-1-1-1-1000000-2001100
χ1722222-12222-1-12-12222-1-1-1-12-12-122-1-122-1-1-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-2111111000000-2001100
χ1822222-12222-1-12-12222-1-1-1-12-12-122-1-122-1-1-2-2-1-1-1-1-1-10000-2-2-2-20000000011111111-2-2111111000000200-1-100
χ192222-1222-1-122-122222-1-1-1-1-12-12-1-122-1-12222-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-1-122-1-1-1-10000020-1-10000
χ202222-1222-1-122-122222-1-1-1-1-12-12-1-122-1-12222-1-1-1-1-1-1-2-2-2-200001111111100000000-1-122-1-1-1-100000-20110000
χ212222-1222-1-122-122222-1-1-1-1-12-12-1-122-1-122-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000011-2-2111100000-20110000
χ222222-1222-1-122-122222-1-1-1-1-12-12-1-122-1-122-2-2-1-1-1-1-1-1-2-2-2-20000111111110000000011-2-211110000020-1-10000
χ2322-2-2222-2-2-2-2-22222-2-22-2-22-2-2222222-2-2-2-200-2222-2-200000000000000000000000000000000000000000002i−2i
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χ2522-2-2222-2-2-2-2-222-2-2222-2-22-2-222-2-2-2-222222-2-22-2-2220000000000000000000000002-22-222-2-20000000000000
χ2622-2-2222-2-2-2-2-222-2-2222-2-22-2-222-2-2-2-22222-22-22-2-222000000000000000000000000-22-22-2-2220000000000000
χ2722-2-22-12-2-2-2112-1-2-222-111-1-212-1-2-21122-1-12-21-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i32-2-11-1-111000000000−i3i300
χ2822-2-22-12-2-2-2112-1-2-222-111-1-212-1-2-21122-1-12-21-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i32-2-11-1-111000000000i3−i300
χ2922-2-22-12-2-2-2112-1-2-222-111-1-212-1-2-21122-1-1-221-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i3-221-111-1-1000000000i3−i300
χ3022-2-22-12-2-2-2112-1-2-222-111-1-212-1-2-21122-1-1-221-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i3-221-111-1-1000000000−i3i300
χ3122-2-2-122-211-2-2-12-2-222-111-11-2-1211-2-2-1-1222-21-111-1-100000000−i3−i3i3i3−i3−i3i3i300000000-112-2-1-1110000000−i3i30000
χ3222-2-2-122-211-2-2-12-2-222-111-11-2-1211-2-2-1-1222-21-111-1-100000000i3i3−i3−i3i3i3−i3−i300000000-112-2-1-1110000000i3−i30000
χ3322-2-2-122-211-2-2-12-2-222-111-11-2-1211-2-2-1-122-221-111-1-100000000−i3−i3i3i3−i3−i3i3i3000000001-1-2211-1-10000000i3−i30000
χ3422-2-2-122-211-2-2-12-2-222-111-11-2-1211-2-2-1-122-221-111-1-100000000i3i3−i3−i3i3i3−i3−i3000000001-1-2211-1-10000000−i3i30000
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χ382-22-222002-22-2-2-22−22−222-2-200002−22−22−22−200002−22−2ζ25+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+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+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−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000002-202−200000000
χ392-22-222002-22-2-2-2−22−2222-2-20000−22−22−22−220000−22−22ζ11+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−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+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−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000002-20−2200000000
χ402-22-222002-22-2-2-2−22−2222-2-20000−22−22−22−220000−22−22ζ11+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+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000-2202−200000000
χ412-22-222002-22-2-2-2−22−2222-2-20000−22−22−22−220000−22−22−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−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000-2202−200000000
χ422-22-222002-22-2-2-2−22−2222-2-20000−22−22−22−220000−22−22−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+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−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+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000002-20−2200000000
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χ724-4-444400-44-44-4-422−22−22224-44-4000022−2222−22−2222−2222000022−22−2222000000000000000000000000000000000000000000000
χ734-4-444400-44-44-4-4−222222−224-44-40000−2222−222222−2222−220000−222222−22000000000000000000000000000000000000000000000
χ744-4-444-200-442-2-4222−22−2222-22-22000022−22−22−22222−20000−222−20000000000000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000000000000000
χ754-4-444-200-442-2-4222−22−2222-22-22000022−22−22−22222−20000−222−20000000000000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000000000000000
χ764-4-444-200-442-2-42−222222−22-22-220000−22222−222−22−2200002−2−220000000000000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000000000000
χ774-4-444-200-442-2-42−222222−22-22-220000−22222−222−22−2200002−2−220000000000000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000000000000
χ784-4-44-24002-2-442-422−22−2222-22-220000−2222−222−2−22220000−222−200000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000
χ794-4-44-24002-2-442-422−22−2222-22-220000−2222−222−2−22220000−222−200000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000
χ804-4-44-24002-2-442-4−222222−22-22-2200002−2−2222−2222−2200002−2−2200000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000
χ814-4-44-24002-2-442-4−222222−22-22-2200002−2−2222−2222−2200002−2−2200000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000
χ828888-4-4-8-8-4-4-4-4-4-40000222244440000000000-2-20000000000000000000000000000000000000000000000000
χ8388-8-8-4-4-884444-4-400002-2-22-4-44400000000002-20000000000000000000000000000000000000000000000000
χ848-88-8-4-400-44-444442−4242−4222-2-20000−2222−2222−2222−222200002−22−2000000000000000000000000000000000000000000000
χ858-88-8-4-400-44-4444−4242−424222-2-2000022−2222−2222−2222−220000−22−22000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-44442−42−42422-22-20000−2222−222222−2222−2200002−2−22000000000000000000000000000000000000000000000
χ878-8-88-4-4004-44-444−424242−422-22-2000022−2222−22−2222−22220000−222−2000000000000000000000000000000000000000000000

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