Finite Group Databasebeta

← Group #11799636

Character table — Group #11799636

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444488888812121212121212121212121212121212121212121212121216161616161616161618182424242436363648484848144
order1222334466666688883666121212122424242424242424121224242424161616161616161648484848484848484848484848484848412121212121212124422444886612124
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
χ1522222-1222-12-1-122222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002-1-122-1-1-1-1002200000-1-1000
χ1622222-1222-12-1-122222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-211-2-2111100-2-20000011000
χ1722222-1222-12-1-122222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000002-1-122-1-1-1-100-2-20000011000
χ1822222-1222-12-1-122222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-211-2-21111002200000-1-1000
χ192222-1222-12-122-12222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1222-1-1-1-1-1-100002200000-1-10
χ202222-1222-12-122-12222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-2-21111110000-2-200000110
χ212222-1222-12-122-12222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-10000-2-2-2-20000000011111111222-1-1-1-1-1-10000-2-200000110
χ222222-1222-12-122-12222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-10000-2-2-2-20000000011111111-2-2-211111100002200000-1-10
χ2322-2-2222-2-2-222-2-222-2-22-22-2-2-2222222-2-2-2-2-2222-2-2000000000000000000000000000000000002-2000002-2000
χ2422-2-2222-2-2-222-2-222-2-22-22-2-2-2222222-2-2-2-2-2222-2-200000000000000000000000000000000000-2200000-22000
χ2522-2-2222-2-2-222-2-2-2-2222-22-2-2-222-2-2-2-22222-22-2-22200000000000000000000000000000000000002i−2i000002i−2i0
χ2622-2-2222-2-2-222-2-2-2-2222-22-2-2-222-2-2-2-22222-22-2-2220000000000000000000000000000000000000−2i2i00000−2i2i0
χ2722-2-22-12-2-212-11-222-2-2-11-11-212-122-1-1-2-2111-1-1-1110000000033−3−333−3−30000000003−30033−3−3002-200000-11000
χ2822-2-22-12-2-212-11-222-2-2-11-11-212-122-1-1-2-2111-1-1-1110000000033−3−333−3−3000000000−3300−3−33300-22000001-1000
χ2922-2-22-12-2-212-11-222-2-2-11-11-212-122-1-1-2-2111-1-1-11100000000−3−333−3−3330000000003−30033−3−300-22000001-1000
χ3022-2-22-12-2-212-11-222-2-2-11-11-212-122-1-1-2-2111-1-1-11100000000−3−333−3−333000000000−3300−3−333002-200000-11000
χ3122-2-2-122-21-2-12-21-2-222-11-111-2-1211-2-2-1-1221-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i30003−33−33−300002i−2i00000−ii0
χ3222-2-2-122-21-2-12-21-2-222-11-111-2-1211-2-2-1-1221-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i3000−33−33−330000−2i2i00000i−i0
χ3322-2-2-122-21-2-12-21-2-222-11-111-2-1211-2-2-1-1221-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i30003−33−33−30000−2i2i00000i−i0
χ3422-2-2-122-21-2-12-21-2-222-11-111-2-1211-2-2-1-1221-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i3000−33−33−3300002i−2i00000−ii0
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χ362-2-22220022-2-2-2-22−22−222-2-200002−22−22−22−2002−22−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+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+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−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+ζ47000000000−2i2i00000i2−i200000
χ372-2-22220022-2-2-2-22−22−222-2-200002−22−22−22−2002−22−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−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−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000−2i2i00000i2−i200000
χ382-2-22220022-2-2-2-22−22−222-2-200002−22−22−22−2002−22−2ζ25+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−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−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+ζ470000000002i−2i00000−i2i200000
χ392-2-22220022-2-2-2-2−22−2222-2-20000−22−22−22−2200−22−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+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−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−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+ζ430000000002i−2i00000i2−i200000
χ402-2-22220022-2-2-2-2−22−2222-2-20000−22−22−22−2200−22−22ζ11+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−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25−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−ζ43000000000−2i2i00000−i2i200000
χ412-2-22220022-2-2-2-2−22−2222-2-20000−22−22−22−2200−22−22−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−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−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+ζ43000000000−2i2i00000−i2i200000
χ422-2-22220022-2-2-2-2−22−2222-2-20000−22−22−22−2200−22−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−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+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25−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−ζ430000000002i−2i00000i2−i200000
χ4344444-2444-24-2-24-4-4-4-4-2-2-2-24-24-2-4-422-4-422-2-2222200000000000000000000000000000000000000000000000
χ4444444-2-4-44-24-2-240000-2-2-2-2-42-42000000002200002222−22−220000−2−2−2−222220000000000000000000000000000000
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χ734-44-4-24002-42-44-2−222222−22-222-200002−2−2222−2222−22002−2−220000000000000000ζ11+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
χ744-4-444-2004-2-422-422−2222−22-2-222000022−22−2222−22−2200−22−22−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000ζ25+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+ζ430000000000000000000000000000000
χ754-4-444-2004-2-422-422−2222−22-2-222000022−22−2222−22−2200−22−222ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000−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−ζ430000000000000000000000000000000
χ764-4-444-2004-2-422-4−2222−2222-2-2220000−22222−2−22222−2002−22−22ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000−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+ζ470000000000000000000000000000000
χ774-4-444-2004-2-422-4−2222−2222-2-2220000−22222−2−22222−2002−22−2−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000ζ11+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−ζ470000000000000000000000000000000
χ784-4-44-2400-242-4-4222−2222−22-2-2220000−2222−22−2222−2200−22−2200002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000−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+ζ4700000000000000000000000
χ794-4-44-2400-242-4-4222−2222−22-2-2220000−2222−22−2222−2200−22−220000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700000000000000000000000
χ804-4-44-2400-242-4-42−2222−2222-2-22200002−2−22222−2−2222002−22−20000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000ζ25−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−ζ4300000000000000000000000
χ814-4-44-2400-242-4-42−2222−2222-2-22200002−2−22222−2−2222002−22−200002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000−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+ζ4300000000000000000000000
χ828888-4-4-8-8-4-4-4-4-4-400002222444400000000-2-2000000000000000000000000000000000000000000000000000
χ8388-8-8-4-4-8844-4-44400002-22-2-4-444000000002-2000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004444-4-442−42−42422-2-220000−2222−222222−2222−22002−2−2200000000000000000000000000000000000000000000000
χ858-88-8-4-4004444-4-4−424242−422-2-22000022−2222−22−2222−222200−222−200000000000000000000000000000000000000000000000
χ868-8-88-4-400-4-4444442−4242−4222-2-20000−2222−2222−2222−2222002−22−200000000000000000000000000000000000000000000000
χ878-8-88-4-400-4-44444−4242−424222-2-2000022−2222−2222−2222−2200−22−2200000000000000000000000000000000000000000000000

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