Finite Group Databasebeta

← Group #11899689

Character table — Group #11899689

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112222222222244444444444444446666888888888121212121212121212121212121216161616161616161818181824242424242424243636484848487272
order1223344668812123666812121212122424242424241616161624612242424242416161616161648484848484848486666121212122244222448484848886661222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-11-1-1-1-1-1-11-1-11-1-1
χ3111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111
χ511111111111111111111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11111-1-1-111-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11-1-1111
χ811111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-111-111111-1-11-1-11-1-1-1-111-1-1111111111-1-11-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-111-1-11-1
χ1011-111-111111-1-11-1-11-1-1-1-111-1-1111111111-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-111-11-1-1-111-111-11-1-11
χ1111-111-111111-1-11-1-11-1-1-1-111-1-111111111-11-11-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-11-1-1-111-11
χ1211-111-111111-1-11-1-11-1-1-1-111-1-111111111-11-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-11-11-1-111-11-11-111-1
χ1311-111-111111-1-11-1-11-1-1-1-111-1-11111-1-1-1-11-1-11-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-11-1111-1-1-11-11-11-11
χ1411-111-111111-1-11-1-11-1-1-1-111-1-11111-1-1-1-11-1-11-111-1-111-1-111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-1111-1-1-1111-1
χ1511-111-111111-1-11-1-11-1-1-1-111-1-11111-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-111-11-111-1-1-111-11-11-1
χ1611-111-111111-1-11-1-11-1-1-1-111-1-11111-1-1-1-1-11-11-111-1-111-1-111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1111-111-1-1-11
χ17222222222-2-2222222-222222-2-2-2-2-2-200000022-2-2-2-2-20000000000000000000000222200000000-2-2000000
χ18222222222-2-2222222-222222-2-2-2-2-2-200000022-2-2-2-2-20000000000000000000000-2-2-2-20000000022000000
χ1922222-2-22200-2-222220-2-2-2-2-200000022−2−2002-2000002−22−22−222−2−222−2−2000000002-2-2200002−22−200000000
χ2022222-2-22200-2-222220-2-2-2-2-200000022−2−2002-2000002−2−22−2222−2−222−2−200000000-222-20000−22−2200000000
χ2122222-2-22200-2-222220-2-2-2-2-2000000−2−222002-200000−222−22−2−2−222−2−22200000000-222-200002−22−200000000
χ2222222-2-22200-2-222220-2-2-2-2-2000000−2−222002-200000−22−22−22−2−222−2−222000000002-2-220000−22−2200000000
χ232222-122-122222-12-1-12-1-1-1-122222-1-1000022-1-1-1-1-1-1-1002222000000002-1-1-1-12-1-100000220-1-1-1-1000-1-1000
χ242222-122-122222-12-1-12-1-1-1-122222-1-1000022-1-1-1-1-1-1-100-2-2-2-2000000002-1-1-1-12-1-100000-2-20111100011000
χ252222-122-122222-12-1-12-1-1-1-122222-1-10000-2-2-1-1-1-1-1-1-100222200000000-21111-21100000-2-20-1-1-1-100011000
χ262222-122-122222-12-1-12-1-1-1-122222-1-10000-2-2-1-1-1-1-1-1-100-2-2-2-200000000-21111-211000002201111000-1-1000
χ27222-12222-122-1-1-1-12-122-1-12-1-1-1-1-122222222-1-12-1-1-1-1220000-1-1-1-1-1-1-1-1-12-1-12-1-1-100002002000000-100-100
χ28222-12222-122-1-1-1-12-122-1-12-1-1-1-1-1222222-2-2-1-12-1-1-1-1220000-1-1-1-1-1-1-1-11-211-21110000-200-2000000100100
χ29222-12222-122-1-1-1-12-122-1-12-1-1-1-1-122-2-2-2-222-1-12-1-1-1-1-2-2000011111111-12-1-12-1-1-10000-200-2000000100100
χ30222-12222-122-1-1-1-12-122-1-12-1-1-1-1-122-2-2-2-2-2-2-1-12-1-1-1-1-2-20000111111111-211-211100002002000000-100-100
χ3122-2222-22200222-2-220222-2-200000022−2−200-2-200000−222−2−2222−2−2−2−2220000000022-2-200002−2−2200000000
χ3222-2222-22200222-2-220222-2-200000022−2−200-2-200000−22−222−222−2−2−2−22200000000-2-2220000−222−200000000
χ3322-2222-22200222-2-220222-2-2000000−2−22200-2-2000002−22−2−22−2−22222−2−200000000-2-22200002−2−2200000000
χ3422-2222-22200222-2-220222-2-2000000−2−22200-2-2000002−2−222−2−2−22222−2−20000000022-2-20000−222−200000000
χ3522-222-2222-2-2-2-22-2-222-2-2-22222-2-2-2-2000000-222-2-22200000000000000000000002-22-200000000-22000000
χ3622-222-2222-2-2-2-22-2-222-2-2-22222-2-2-2-2000000-222-2-2220000000000000000000000-22-22000000002-2000000
χ3722-22-1-22-1222-2-2-1-21-1-2111-12-2-222-1-100002-21-11-1-1110022-2-2000000002-1-1-11-211000002-20-1-111000-11000
χ3822-22-1-22-1222-2-2-1-21-1-2111-12-2-222-1-100002-21-11-1-11100-2-222000000002-1-1-11-21100000-22011-1-10001-1000
χ3922-22-1-22-1222-2-2-1-21-1-2111-12-2-222-1-10000-221-11-1-1110022-2-200000000-2111-12-1-100000-220-1-1110001-1000
χ4022-22-1-22-1222-2-2-1-21-1-2111-12-2-222-1-10000-221-11-1-11100-2-22200000000-2111-12-1-1000002-2011-1-1000-11000
χ4122-2-12-222-12211-11-2-1-2-2112-111-1-12222222-21-1-2-1-111-2-20000-1-1-1-11111-12-1-1-21110000200-2000000-100100
χ4222-2-12-222-12211-11-2-1-2-2112-111-1-1222222-221-1-2-1-111-2-20000-1-1-1-111111-2112-1-1-10000-2002000000100-100
χ4322-2-12-222-12211-11-2-1-2-2112-111-1-122-2-2-2-22-21-1-2-1-1112200001111-1-1-1-1-12-1-1-21110000-2002000000100-100
χ4422-2-12-222-12211-11-2-1-2-2112-111-1-122-2-2-2-2-221-1-2-1-1112200001111-1-1-1-11-2112-1-1-10000200-2000000-100100
χ454444-244-24-4-444-24-2-2-4-2-2-2-24-4-4-4-422000000-2-222222000000000000000000000000000000000000000000
χ464444-2-4-4-2400-4-4-24-2-202222-4000000000000-22000000022−2222−22000000000000000000000000−22−2200000000
χ474444-2-4-4-2400-4-4-24-2-202222-4000000000000-220000000−2222−22220000000000000000000000002−22−200000000
χ48444-24444-2-4-4-2-2-2-24-2-44-2-24-22222-4-4000000-2-2-42222000000000000000000000000000000000000000000
χ49444-24-4-44-20022-2-24-20-422-420000002222−22−2200-220000022−220000−2−222−2−2220000000000000000000000000000
χ50444-24-4-44-20022-2-24-20-422-42000000−22−22222200-2200000−2222000022−2−222−2−20000000000000000000000000000
χ51444-2-244-2-244-2-21-2-214-211-2-2-2-2-2-2-2-200004411-2111100000000000000-2-211-2-21100000000000000000000
χ52444-2-244-2-244-2-21-2-214-211-2-2-2-2-2-2-2-20000-4-411-211110000000000000022-1-122-1-100000000000000000000
χ53444-2-244-2-2-4-4-2-21-2-21-4-211-2-2222222000000112-1-1-1-100000000000000003-3003-300000000000000000000
χ54444-2-244-2-2-4-4-2-21-2-21-4-211-2-2222222000000112-1-1-1-10000000000000000-3300-3300000000000000000000
χ5544-44-24-4-240044-2-42-20-2-2-22-400000000000022000000022−22−2222000000000000000000000000−222−200000000
χ5644-44-24-4-240044-2-42-20-2-2-22-4000000000000220000000−222222−220000000000000000000000002−2−2200000000
χ5744-44-2-44-24-4-4-4-4-2-42-24222-2444-4-4220000002-2-222-2-2000000000000000000000000000000000000000000
χ5844-4-244-44-200-2-2-22-4-204-2-2-420000002222−22−22002200000−22220000−2−22222−2−20000000000000000000000000000
χ5944-4-244-44-200-2-2-22-4-204-2-2-42000000−22−22222200220000022−22000022−2−2−2−2220000000000000000000000000000
χ6044-4-24-444-2-4-422-22-4-24-4224-2-2-222-4-40000002-2422-2-2000000000000000000000000000000000000000000
χ6144-4-2-2-44-2-244221221-42-1-1-2-222-2-2-2-200004-4-11211-1-100000000000000-2-21122-1-100000000000000000000
χ6244-4-2-2-44-2-244221221-42-1-1-2-222-2-2-2-20000-44-11211-1-10000000000000022-1-1-2-21100000000000000000000
χ6344-4-2-2-44-2-2-4-422122142-1-1-2-2-2-22222000000-11-2-1-11100000000000000003-300-3300000000000000000000
χ6444-4-2-2-44-2-2-4-422122142-1-1-2-2-2-22222000000-11-2-1-1110000000000000000-33003-300000000000000000000
χ654-404400-4-422−2200400-40000000022−2222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000022−2200000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000000000000000000000000000
χ664-404400-4-422−2200400-40000000022−2222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000022−22000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000000000000000000000000000
χ674-404400-4-4−222200400-400000000−2222−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000−2222000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000000000000000000000000
χ684-404400-4-4−222200400-400000000−2222−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000−222200000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000000000000000000000000
χ694-40-2400-4222−2223−23-20020023−23006−6−2222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000−226−6000000ζ25−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−ζ430000000000000000000000000000
χ704-40-2400-4222−2223−23-20020023−23006−6−2222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000−226−6000000−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+ζ430000000000000000000000000000
χ714-40-2400-4222−22−2323-200200−232300−66−2222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000−22−66000000ζ25−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+ζ430000000000000000000000000000
χ724-40-2400-4222−22−2323-200200−232300−66−2222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000−22−66000000−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−ζ430000000000000000000000000000
χ734-40-2400-42−222223−23-20020023−2300−662−2−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000002−2−66000000−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−ζ470000000000000000000000000000
χ744-40-2400-42−222223−23-20020023−2300−662−2−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000002−2−66000000ζ11−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+ζ470000000000000000000000000000
χ754-40-2400-42−2222−2323-200200−2323006−62−2−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000002−26−6000000−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+ζ470000000000000000000000000000
χ764-40-2400-42−2222−2323-200200−2323006−62−2−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000002−26−6000000ζ11−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−ζ470000000000000000000000000000
χ77888-4-4-8-8-4-400442-4-4204-2-2440000000000002-200000000000000000000000000000000000000000000000
χ7888-8-4-48-8-4-400-4-424420-42244000000000000-2-200000000000000000000000000000000000000000000000
χ798-808-4004-842−4200-40040000000042−42−2222000000000−222200000000000000000000000000000000000000000000
χ808-808-4004-8−424200-400400000000−424222−2200000000022−2200000000000000000000000000000000000000000000
χ818-80-4-4004442−4243−43200-200−23230026−26−2222−22220000000002−2−66000000000000000000000000000000000000000000
χ828-80-4-4004442−42−4343200-20023−2300−2626−2222−22220000000002−26−6000000000000000000000000000000000000000000
χ838-80-4-40044−424243−43200-200−232300−262622−2222−22000000000−226−6000000000000000000000000000000000000000000
χ848-80-4-40044−4242−4343200-20023−230026−2622−2222−22000000000−22−66000000000000000000000000000000000000000000

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