Finite Group Databasebeta

← Group #11798179

Character table — Group #11798179

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444488888812121212121212121212121212121212121212121212121216161616161616161618182424242436363648484848144
order12223344666666888836661212121224242424242424241212242424241616161616161616484848484848484848484848484848484121212121212121222222248866664
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
χ2322-2-2220022-2-2-2-222−2−222-2-200002−22−22−22−20022−2−2−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
χ2422-2-2220022-2-2-2-222−2−222-2-200002−22−22−22−20022−2−2−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
χ2522-2-2220022-2-2-2-222−2−222-2-200002−22−22−22−20022−2−2ζ25+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
χ2622-2-2220022-2-2-2-222−2−222-2-200002−22−22−22−20022−2−2ζ25+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
χ2722-2-2220022-2-2-2-2−2−22222-2-20000−22−22−22−2200−2−222ζ11+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
χ2822-2-2220022-2-2-2-2−2−22222-2-20000−22−22−22−2200−2−222ζ11+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
χ2922-2-2220022-2-2-2-2−2−22222-2-20000−22−22−22−2200−2−222−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
χ3022-2-2220022-2-2-2-2−2−22222-2-20000−22−22−22−2200−2−222−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
χ312-2-2222-22-2-222-2-22-22-22-22-2-2-22222-2-2-2-222-222-22-2000000000000000000000000000000000002-2000002-2000
χ322-2-2222-22-2-222-2-22-22-22-22-2-2-22222-2-2-2-222-222-22-200000000000000000000000000000000000-2200000-22000
χ332-2-2222-22-2-222-2-2-22-222-22-2-2-222-2-22222-2-2-22-22-2200000000000000000000000000000000000002-2000002-20
χ342-2-2222-22-2-222-2-2-22-222-22-2-2-222-2-22222-2-2-22-22-220000000000000000000000000000000000000-2200000-220
χ352-2-222-1-22-212-1-21-22-22-11-11-212-1-2-2-1-122111-11-11-100000000000000003−33−33−33−30003−333−3−300002-200000-110
χ362-2-222-1-22-212-1-21-22-22-11-11-212-1-2-2-1-122111-11-11-100000000000000003−33−33−33−3000−33−3−3330000-22000001-10
χ372-2-222-1-22-212-1-21-22-22-11-11-212-1-2-2-1-122111-11-11-10000000000000000−33−33−33−330003−333−3−30000-22000001-10
χ382-2-222-1-22-212-1-21-22-22-11-11-212-1-2-2-1-122111-11-11-10000000000000000−33−33−33−33000−33−3−33300002-200000-110
χ392-2-22-12-221-2-121-22-22-2-11-111-2-12-1-1-2-211221-1-11-11000000003−33−33−33−30000000003−3003−33−3002-200000-11000
χ402-2-22-12-221-2-121-22-22-2-11-111-2-12-1-1-2-211221-1-11-11000000003−33−33−33−3000000000−3300−33−3300-22000001-1000
χ412-2-22-12-221-2-121-22-22-2-11-111-2-12-1-1-2-211221-1-11-1100000000−33−33−33−330000000003−3003−33−300-22000001-1000
χ422-2-22-12-221-2-121-22-22-2-11-111-2-12-1-1-2-211221-1-11-1100000000−33−33−33−33000000000−3300−33−33002-200000-11000
χ4344444-2444-24-24-2-4-4-4-4-2-2-2-24-24-2-4-422-4-422-2-2222200000000000000000000000000000000000000000000000
χ4444444-2-4-44-24-24-20000-2-2-2-2-42-420000000022000000002222−22−2200000000−2−2−2−2222200000000000000000000000
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χ464444-2444-24-24-24-4-4-4-4-2-2-2-2-24-2422-4-422-4-4-2-2222200000000000000000000000000000000000000000000000
χ474444-24-4-4-24-24-240000-2-2-2-22-42-4000000002200002222−22−220000−2−2−2−222220000000000000000000000000000000
χ484444-24-4-4-24-24-240000-2-2-2-22-42-400000000220000−22−22222200002222−2−2−2−20000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-21111110000000000000000000000004-2-2-2-2111100000000000000
χ504444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-2111111000000000000000000000000-42222-1-1-1-100000000000000
χ514444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222211-1-1-1-1000000000000000000000000000003-3-3300000000000000
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χ5344-4-44-2004-2-42-422222−22−22-2-222000022−22−2222−22−2200−2−2220000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300000000ζ25+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+ζ4300000000000000000000000
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χ664-44-44-200-42-424-2−222222−22-222-20000−2222−2222−222−2002−2−220000000000000000ζ11+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+ζ4700000000000000000000000
χ674-44-4-24002-42-4-2422−22−2222-222-20000−22−22222−222−2200−222−200000000−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−ζ470000000000000000000000000000000
χ684-44-4-24002-42-4-2422−22−2222-222-20000−22−22222−222−2200−222−200000000ζ11+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+ζ470000000000000000000000000000000
χ694-44-4-24002-42-4-24−222222−22-222-200002−222−22−22−2222002−2−2200000000−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−ζ430000000000000000000000000000000
χ704-44-4-24002-42-4-24−222222−22-222-200002−222−22−22−2222002−2−2200000000ζ25−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+ζ430000000000000000000000000000000
χ714-4-44444-4-4-444-4-400004-44-444-4-4000000004-4000000000000000000000000000000000000000000000000000
χ724-4-444-24-4-424-2-420000-22-224-2-4200000000-22000000000000000000006−66−6−66−6600000000000000000000000
χ734-4-444-24-4-424-2-420000-22-224-2-4200000000-2200000000000000000000−66−666−66−600000000000000000000000
χ744-4-444-2-44-424-2-424-44-4-22-22-424-24422-4-4-2-22-2-22-2200000000000000000000000000000000000000000000000
χ754-4-44-244-42-4-242-40000-22-22-242-400000000-220000000000006−66−6−66−660000000000000000000000000000000
χ764-4-44-244-42-4-242-40000-22-22-242-400000000-22000000000000−66−666−66−60000000000000000000000000000000
χ774-4-44-24-442-4-242-4-44-44-22-222-4-242244-2-2-4-42-22-22-200000000000000000000000000000000000000000000000
χ784-4-44-2-2-4422-2-2224-44-41-11-122-2-2-2-22222-2-2-111-11-1000000000000000000000000023−2300−33−3300000000000000
χ794-4-44-2-2-4422-2-2224-44-41-11-122-2-2-2-22222-2-2-111-11-10000000000000000000000000−2323003−33−300000000000000
χ804-4-44-2-2-4422-2-222-44-441-11-122-2-222-2-2-2-222-11-11-1100000000000000000000000000023−23−3−33300000000000000
χ814-4-44-2-2-4422-2-222-44-441-11-122-2-222-2-2-2-222-11-11-11000000000000000000000000000−232333−3−300000000000000
χ828888-4-4-8-8-4-4-4-4-4-400002222444400000000-2-2000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-444444242−42−4222-2-20000−2222−2222−2222−22220022−2−200000000000000000000000000000000000000000000000
χ8488-8-8-4-400-4-44444−42−42424222-2-2000022−2222−2222−2222−2200−2−22200000000000000000000000000000000000000000000000
χ858-88-8-4-4004444-4-442−42−42422-2-220000−222222−2222−22−2222002−2−2200000000000000000000000000000000000000000000000
χ868-88-8-4-4004444-4-4−424242−422-2-22000022−22−2222−222222−2200−222−200000000000000000000000000000000000000000000000
χ878-8-88-4-48-844-4-44400002-22-2-4-444000000002-2000000000000000000000000000000000000000000000000000

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