Finite Group Databasebeta

← Group #10949049

Character table — Group #10949049

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222244444444444444666688888888888888888812121212121212121616161616162424242424242432324848
order122234466688882412121212161616162424242422442244681616242448484848484848482488161616162466121222228161661244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ511111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111
χ711111111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-1-1
χ911111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1111-1-111-1-1-1-1-1-111-1
χ1011111111111111-1-11-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-111-1-111-1-1-11-1-11
χ1111111111111111-1-11-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111111-11-11
χ1211111111111111-1-11-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-11111-11-1
χ1311111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-111-1-1-1111-1-11
χ1411111111111111-1-11-1-11-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-111-111-111-1
χ1511111111111111-1-11-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111111-111-1-1-1-1111-1-11-11-1
χ1611111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11111-11-1-11111-1-11-1-1-11-11
χ172222222222-2-2-2-22222220000-2-2-2-2222200002-200-2-20000000022-2-200000000000000-2000000
χ182222222222-2-2-2-22222220000-2-2-2-2-2-2-2-200002-200-2-200000000-2-222000000000000002000000
χ192222222222-2-2-2-2-2-22-2-220000-2-2-2-222220000-22002200000000-2-2-2-2000000000000002000000
χ202222222222-2-2-2-2-2-22-2-220000-2-2-2-2-2-2-2-20000-22002200000000222200000000000000-2000000
χ2122222-2-222200002-2-2-2-2-222−2−2000022-2-20000202−20022−2−222−2−2-220022−2−2000000000002−20000
χ2222222-2-222200002-2-2-2-2-222−2−20000-2-2220000202−20022−2−222−2−22-200−2−22200000000000−220000
χ2322222-2-222200002-2-2-2-2-2−2−222000022-2-2000020−2200−2−222−2−222-2200−2−22200000000000−220000
χ2422222-2-222200002-2-2-2-2-2−2−2220000-2-222000020−2200−2−222−2−2222-20022−2−2000000000002−20000
χ2522222-2-22220000-22-222-222−2−2000022-2-20000-20−220022−2−2−2−2222-20022−2−200000000000−220000
χ2622222-2-22220000-22-222-222−2−20000-2-2220000-20−220022−2−2−2−222-2200−2−222000000000002−20000
χ2722222-2-22220000-22-222-2−2−222000022-2-20000-202−200−2−22222−2−22-200−2−222000000000002−20000
χ2822222-2-22220000-22-222-2−2−2220000-2-2220000-202−200−2−22222−2−2-220022−2−200000000000−220000
χ292222-122-1-1-1222222-1-1-1-12222-1-1-1-100002222-1222-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-10000000-1-100
χ302222-122-1-1-1222222-1-1-1-12222-1-1-1-10000-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-100000000-2-2111100000001100
χ312222-122-1-1-1222222-1-1-1-1-2-2-2-2-1-1-1-100002222-12-2-2-1-11111111100000000-2-2-1-1-1-100000001100
χ322222-122-1-1-1222222-1-1-1-1-2-2-2-2-1-1-1-10000-2-2-2-2-12-2-2-1-111111111000000002211110000000-1-100
χ332222-122-1-1-12222-2-2-111-12222-1-1-1-1000022-2-21-2-2-211-1-1-1-1111100000000-22-1-11100000001-100
χ342222-122-1-1-12222-2-2-111-12222-1-1-1-10000-2-2221-2-2-211-1-1-1-11111000000002-211-1-10000000-1100
χ352222-122-1-1-12222-2-2-111-1-2-2-2-2-1-1-1-1000022-2-21-222111111-1-1-1-1000000002-2-1-1110000000-1100
χ362222-122-1-1-12222-2-2-111-1-2-2-2-2-1-1-1-10000-2-2221-222111111-1-1-1-100000000-2211-1-100000001-100
χ372-2-222-22-2-2222-2-200-2002000022-2-22-22-2002-200000000000000002-2000000002-2002-20000000
χ382-2-222-22-2-2222-2-200-2002000022-2-22-22-200-2200000000000000002-200000000-2200-220000000
χ392-2-222-22-2-2222-2-200-2002000022-2-2-22-22002-20000000000000000-22000000002-200-220000000
χ402-2-222-22-2-2222-2-200-2002000022-2-2-22-2200-220000000000000000-2200000000-22002-20000000
χ412-2-222-22-2-22-2-22200-20020000-2-2222-22-22-2000000000000000000-220000002-2002-2000000000
χ422-2-222-22-2-22-2-22200-20020000-2-2222-22-2-22000000000000000000-22000000-2200-22000000000
χ432-2-222-22-2-22-2-22200-20020000-2-222-22-222-20000000000000000002-20000002-200-22000000000
χ442-2-222-22-2-22-2-22200-20020000-2-222-22-22-220000000000000000002-2000000-22002-2000000000
χ454444-244-2-2-2-4-4-4-444-2-2-2-20000222200000000-2-40022000000000000000000000000000000000
χ464444-244-2-2-2-4-4-4-4-4-4-222-200002222000000002400-2-2000000000000000000000000000000000
χ474444-2-4-4-2-2-200004-422222222−22−22000000000000-2022−2200−2−222−2−2220000000000000000000000000
χ484444-2-4-4-2-2-200004-42222−22−222222000000000000-20−22220022−2−222−2−20000000000000000000000000
χ494444-2-4-4-2-2-20000-442-2-222222−22−2200000000000020−222200−2−22222−2−20000000000000000000000000
χ504444-2-4-4-2-2-20000-442-2-22−22−2222220000000000002022−220022−2−2−2−2220000000000000000000000000
χ5144-4-44004-4-422−2222−22000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4322−2222−2200000000000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300000000000000000000000000000
χ5244-4-44004-4-422−2222−220000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ4322−2222−22000000000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ4300000000000000000000000000000
χ5344-4-44004-4-4−2222−22220000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2222−2222000000000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700000000000000000000000000000
χ5444-4-44004-4-4−2222−2222000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2222−222200000000000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700000000000000000000000000000
χ5544-4-4-200-22222−2222−2200023−230−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−22−220000000000006−6ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000000
χ5644-4-4-200-22222−2222−2200023−2302ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−22−220000000000006−6−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000000
χ5744-4-4-200-22222−2222−22000−23230−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−22−22000000000000−66ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000000
χ5844-4-4-200-22222−2222−22000−232302ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−22−22000000000000−66−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000000
χ5944-4-4-200-222−2222−222200023−2302ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472−22−2000000000000−66−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000000
χ6044-4-4-200-222−2222−222200023−230−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472−22−2000000000000−66ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000000
χ6144-4-4-200-222−2222−2222000−232302ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472−22−20000000000006−6−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000000
χ6244-4-4-200-222−2222−2222000−23230−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472−22−20000000000006−6ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000000
χ634-44-4400-44-422−22−2222000000000022−22−222200000000000000000000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000000000000
χ644-44-4400-44-422−22−2222000000000022−22−2222000000000000000000000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000000000000
χ654-44-4400-44-4−222222−220000000000−222222−22000000000000000000000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000000000
χ664-44-4400-44-4−222222−220000000000−222222−2200000000000000000000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000000000
χ674-4-4444-4-4-44000000400-4000000004-4-440000000000000000000000000000000000000000000
χ684-4-4444-4-4-44000000400-400000000-444-40000000000000000000000000000000000000000000
χ694-4-44-2-4422-244-4-400200-20000-2-2220000004-400000000000000000000000000-2200000000000
χ704-4-44-2-4422-244-4-400200-20000-2-222000000-44000000000000000000000000002-200000000000
χ714-4-44-2-4422-2-4-44400200-2000022-2-200004-400000000000000000000000000-220000000000000
χ724-4-44-2-4422-2-4-44400200-2000022-2-20000-44000000000000000000000000002-20000000000000
χ738-88-8-4004-4442−42−42420000000000−222222−2200000000000000000000000000000000000000000000000
χ748-88-8-4004-44−424242−42000000000022−22−222200000000000000000000000000000000000000000000000
χ758-8-88-48-844-4000000-40040000000000000000000000000000000000000000000000000000000

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