Finite Group Databasebeta

← Group #11799817

Character table — Group #11799817

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444488888812121212121212121212121212121212121212121212121216161616161616161618182424242436363648484848144
order122233446666668888366612121212242424242424242412122424242416161616161616164848484848484848484848484848484841212121212121212224444488121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000000002200002-2-200000
χ1022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000000000000-2-20000-22200000
χ11222222-2-222222200002222-2-2-2-200000000-2-2000022−2−222−2−22222−2−2−2−22222−2−2−2−2000000000220000-20000000
χ12222222-2-222222200002222-2-2-2-200000000-2-2000022−2−2−2−2222222−2−2−2−2−2−2−2−22222000000000-2-2000020000000
χ13222222-2-222222200002222-2-2-2-200000000-2-20000−2−22222−2−2−2−2−2−222222222−2−2−2−2000000000-2-2000020000000
χ14222222-2-222222200002222-2-2-2-200000000-2-20000−2−222−2−222−2−2−2−22222−2−2−2−22222000000000220000-20000000
χ1522222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1222-1-1-1-1-1-100002200000-1-10
χ1622222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-2-21111110000-2-200000110
χ1722222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111222-1-1-1-1-1-10000-2-200000110
χ1822222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-2-211111100002200000-1-10
χ192222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002-1-122-1-1-1-1002200000-1-1000
χ202222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-211-2-2111100-2-20000011000
χ212222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-2-2-2-2000011111111000000002-1-122-1-1-1-100-2-20000011000
χ222222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-2-2-2-200001111111100000000-211-2-21111002200000-1-1000
χ2322-2-22200-2-222-2-222−2−22-2-2200002−22−22−22−20022−2−2−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−ζ43−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−ζ43−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−ζ430000000002-2000002−200000
χ2422-2-22200-2-222-2-222−2−22-2-2200002−22−22−22−20022−2−2−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−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−ζ43ζ25+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+ζ43000000000-2200000−2200000
χ2522-2-22200-2-222-2-222−2−22-2-2200002−22−22−22−20022−2−2ζ25+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−ζ43ζ25+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+ζ43−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−ζ43000000000-2200000−2200000
χ2622-2-22200-2-222-2-222−2−22-2-2200002−22−22−22−20022−2−2ζ25+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+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+ζ43ζ25+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+ζ430000000002-2000002−200000
χ2722-2-22200-2-222-2-2−2−2222-2-220000−22−22−22−2200−2−222ζ11+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+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−ζ47ζ11+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−ζ470000000002-200000−2200000
χ2822-2-22200-2-222-2-2−2−2222-2-220000−22−22−22−2200−2−222ζ11+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+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−ζ47−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+ζ47000000000-22000002−200000
χ2922-2-22200-2-222-2-2−2−2222-2-220000−22−22−22−2200−2−222−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−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−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−ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47000000000-22000002−200000
χ3022-2-22200-2-222-2-2−2−2222-2-220000−22−22−22−2200−2−222−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−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−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+ζ470000000002-200000−2200000
χ312-22-222-2222-2-2-2-22-22-22-22-2-2-22222-2-2-2-222-222-22-200000000000000000000000000000000000002i−2i000002i−2i0
χ322-22-222-2222-2-2-2-22-22-22-22-2-2-22222-2-2-2-222-222-22-20000000000000000000000000000000000000−2i2i00000−2i2i0
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χ352-22-22-1-222-1-21-212-22-2-11-11-212-12211-2-2-1-11-1-11-110000000000000000−i3i3−i3i3−i3i3−i3i30003−333−3−300002i−2i00000−ii0
χ362-22-22-1-222-1-21-212-22-2-11-11-212-12211-2-2-1-11-1-11-110000000000000000−i3i3−i3i3−i3i3−i3i3000−33−3−3330000−2i2i00000i−i0
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χ382-22-22-1-222-1-21-212-22-2-11-11-212-12211-2-2-1-11-1-11-110000000000000000i3−i3i3−i3i3−i3i3−i3000−33−3−33300002i−2i00000−ii0
χ392-22-2-12-22-121-21-2-22-22-11-111-2-121122-1-1-2-21-11-11-100000000−i3i3−i3i3−i3i3−i3i30000000003−3003−33−3002i−2i00000−ii000
χ402-22-2-12-22-121-21-2-22-22-11-111-2-121122-1-1-2-21-11-11-100000000−i3i3−i3i3−i3i3−i3i3000000000−3300−33−3300−2i2i00000i−i000
χ412-22-2-12-22-121-21-2-22-22-11-111-2-121122-1-1-2-21-11-11-100000000i3−i3i3−i3i3−i3i3−i30000000003−3003−33−300−2i2i00000i−i000
χ422-22-2-12-22-121-21-2-22-22-11-111-2-121122-1-1-2-21-11-11-100000000i3−i3i3−i3i3−i3i3−i3000000000−3300−33−33002i−2i00000−ii000
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χ724-4-444400-4-4-4-44422−22−222244-4-4000022−22−2222−222222−220022−22−222200000000000000000000000000000000000000000000000
χ734-4-444400-4-4-4-444−222222−2244-4-40000−222222−2222−22−222200−222222−2200000000000000000000000000000000000000000000000
χ744-4-444-200-42-424-222−22−2222-2-222000022−222−2−2222−2200−222−20000000000000000−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+ζ4300000000000000000000000
χ754-4-444-200-42-424-222−22−2222-2-222000022−222−2−2222−2200−222−20000000000000000ζ25+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−ζ4300000000000000000000000
χ764-4-444-200-42-424-2−222222−22-2-2220000−2222−2222−222−2002−2−220000000000000000−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−ζ4700000000000000000000000
χ774-4-444-200-42-424-2−222222−22-2-2220000−2222−2222−222−2002−2−220000000000000000ζ11−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+ζ4700000000000000000000000
χ784-4-44-24002-42-4-2422−22−2222-2-2220000−22−22222−222−2200−222−200000000−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−ζ470000000000000000000000000000000
χ794-4-44-24002-42-4-2422−22−2222-2-2220000−22−22222−222−2200−222−200000000ζ11−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+ζ470000000000000000000000000000000
χ804-4-44-24002-42-4-24−222222−22-2-22200002−222−22−22−2222002−2−2200000000−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+ζ430000000000000000000000000000000
χ814-4-44-24002-42-4-24−222222−22-2-22200002−222−22−22−2222002−2−2200000000ζ25+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−ζ430000000000000000000000000000000
χ828888-4-4-8-8-4-4-4-4-4-400002222444400000000-2-2000000000000000000000000000000000000000000000000000
χ8388-8-8-4-40044-4-4444242−42−422-2-220000−2222−2222−2222−22220022−2−200000000000000000000000000000000000000000000000
χ8488-8-8-4-40044-4-444−42−4242422-2-22000022−2222−2222−2222−2200−2−22200000000000000000000000000000000000000000000000
χ858-88-8-4-48-8-4-4444400002-22-2-4-444000000002-2000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-442−42−424222-2-20000−222222−2222−22−2222002−2−2200000000000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4−424242−4222-2-2000022−22−2222−222222−2200−222−200000000000000000000000000000000000000000000000

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