Finite Group Databasebeta

← Group #11899688

Character table — Group #11899688

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222444444444444444466666666888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order12233446688121236668121212121224242424242422441616161624666121212242424242466881212161648484848484848486661212122224666624241616161661222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ511111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ911-111-111111-1-11-1-11-1-1-1-111-1-111111-11-111111-111-1-1-11-111-1-11-11-11-1-1-11111-1-1-1-1111-1-1-11-11-111-1-11-111-1-11-11-1
χ1011-111-111111-1-11-1-11-1-1-1-111-1-111111-11-11111-11-1-1-1111-111-1-11-11-11-1-1-11111-1-1-1-1-1-1-1111-11-11-1-1111-111-1-1-11-11
χ1111-111-111111-1-11-1-11-1-1-1-111-1-111111-11-1-1-1-1-11-111-1-1-11-111-1-11-11-11-111-1-1-1-11111111-1-1-11-1-1111-1-11-1-1-111-11-11
χ1211-111-111111-1-11-1-11-1-1-1-111-1-111111-11-1-1-1-1-1-11-1-1-1111-111-1-11-11-11-111-1-1-1-11111-1-1-1111-111-1-1-1111-1-1-1111-11-1
χ1311-111-111111-1-11-1-11-1-1-1-111-1-11111-11-1111111-111-1-1-11-111-1-1-11-11-11-1-11111-1-1-1-1111-1-1-1-111-1-1-111-11-1-1111-1-11
χ1411-111-111111-1-11-1-11-1-1-1-111-1-11111-11-111111-11-1-1-1111-111-1-1-11-11-11-1-11111-1-1-1-1-1-1-11111-1-1111-1-1-11-1-111-111-1
χ1511-111-111111-1-11-1-11-1-1-1-111-1-11111-11-11-1-1-1-11-111-1-1-11-111-1-1-11-11-1111-1-1-1-11111111-1-1-1-11-11-1-111-1111-1-1-111-1
χ1611-111-111111-1-11-1-11-1-1-1-111-1-11111-11-11-1-1-1-1-11-1-1-1111-111-1-1-11-11-1111-1-1-1-11111-1-1-11111-11-111-1-1-1111-1-11-1-11
χ17222222222-2-2222222-222222-2-2-2-2-2-22222000000002002-2-2-2-2-222-2-222000000000000000000000000-2-200000000
χ18222222222-2-2222222-222222-2-2-2-2-2-2-2-2-2-2000000002002-2-2-2-2-2-2-222-2-20000000000000000000000002200000000
χ1922222-2-22200-2-222220-2-2-2-2-20000002-2-2222−2−20000200-2000002-200-222−222−2−222−2−200000000000000002−22−20000
χ2022222-2-22200-2-222220-2-2-2-2-20000002-2-22−2−2220000200-2000002-200-22−22−2−222−2−2220000000000000000−22−220000
χ2122222-2-22200-2-222220-2-2-2-2-2000000-222-222−2−20000200-200000-22002-22−222−2−222−2−20000000000000000−22−220000
χ2222222-2-22200-2-222220-2-2-2-2-2000000-222-2−2−2220000200-200000-22002-2−22−2−222−2−22200000000000000002−22−20000
χ232222-122-122222-12-1-12-1-1-12-122-1-1222222000022-1-1-1-1-1-1-1-1-1-1-1-1-122-1-100000000002-1-12-1-12200-1-1-1-1-1-100000000
χ242222-122-122222-12-1-12-1-1-12-122-1-12222220000-2-211-111-1-1-1-1-1-1-1-122-1-10000000000-211-211-2-2001111-1-100000000
χ252222-122-122222-12-1-12-1-1-12-122-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-111-2-21100000000002-1-12-1-1-2-20011111100000000
χ262222-122-122222-12-1-12-1-1-12-122-1-122-2-2-2-20000-2-211-111-1-1-1-1-1-111-2-2110000000000-211-2112200-1-1-1-11100000000
χ272222-122-12-2-222-12-1-1-2-1-1-12-1-2-211-2-22222000000−i3i3-1−i3i3-111111-1-1-2-2-1-100000000000−i3i30−i3i30000−i3i3−i3i31100000000
χ282222-122-12-2-222-12-1-1-2-1-1-12-1-2-211-2-22222000000i3−i3-1i3−i3-111111-1-1-2-2-1-100000000000i3−i30i3−i30000i3−i3i3−i31100000000
χ292222-122-12-2-222-12-1-1-2-1-1-12-1-2-211-2-2-2-2-2-2000000−i3i3-1−i3i3-11111111221100000000000−i3i30−i3i30000i3−i3i3−i3-1-100000000
χ302222-122-12-2-222-12-1-1-2-1-1-12-1-2-211-2-2-2-2-2-2000000i3−i3-1i3−i3-11111111221100000000000i3−i30i3−i30000−i3i3−i3i3-1-100000000
χ31222-12222-122-1-1-1-12-122-1-1-12-1-122-1-1000022222222-122-12-1-1-1-100000022-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000000-1-100
χ32222-12222-122-1-1-1-12-122-1-1-12-1-122-1-100002222-2-2-2-2-1-2-2-12-1-1-1-100000022-1-1-1-1-1-1-1-111111100-2-200000000001100
χ33222-12222-122-1-1-1-12-122-1-1-12-1-122-1-10000-2-2-2-22222-122-12-1-1-1-1000000-2-211111111-1-1-1-1-1-100-2-200000000001100
χ34222-12222-122-1-1-1-12-122-1-1-12-1-122-1-10000-2-2-2-2-2-2-2-2-1-2-2-12-1-1-1-1000000-2-21111111111111100220000000000-1-100
χ3522-2222-22200222-2-220222-2-200000022-2-222−2−20000-200-2000002200-2-2−2222−2−2−2−22200000000000000002−2−220000
χ3622-2222-22200222-2-220222-2-200000022-2-2−2−2220000-200-2000002200-2-22−2−2−22222−2−20000000000000000−222−20000
χ3722-2222-22200222-2-220222-2-2000000-2-22222−2−20000-200-200000-2-20022−2222−2−2−2−2220000000000000000−222−20000
χ3822-2222-22200222-2-220222-2-2000000-2-222−2−2220000-200-200000-2-200222−2−2−22222−2−200000000000000002−2−220000
χ3922-222-2222-2-2-2-22-2-222-2-2-22222-2-2-2-22-22-200000000-20022-2-2222-2-222-2000000000000000000000000-2200000000
χ4022-222-2222-2-2-2-22-2-222-2-2-22222-2-2-2-2-22-2200000000-20022-2-222-222-2-220000000000000000000000002-200000000
χ4122-22-1-22-1222-2-2-1-21-1-21112-1-2-2-1-1222-22-200002-2-1-1111-11-1-111-112-2-1100000000002-1-1-2112-200-1-111-1100000000
χ4222-22-1-22-1222-2-2-1-21-1-21112-1-2-2-1-1222-22-20000-22111-1-1-11-1-111-112-2-110000000000-2112-1-1-220011-1-1-1100000000
χ4322-22-1-22-1222-2-2-1-21-1-21112-1-2-2-1-122-22-2200002-2-1-1111-11-1-1111-1-221-100000000002-1-1-211-220011-1-11-100000000
χ4422-22-1-22-1222-2-2-1-21-1-21112-1-2-2-1-122-22-220000-22111-1-1-11-1-1111-1-221-10000000000-2112-1-12-200-1-1111-100000000
χ4522-22-1-22-12-2-2-2-2-1-21-121112-12211-2-22-22-2000000−i3i31i3−i3-1-111-1-1-11-22-1100000000000−i3i30i3−i30000−i3i3i3−i31-100000000
χ4622-22-1-22-12-2-2-2-2-1-21-121112-12211-2-22-22-2000000i3−i31−i3i3-1-111-1-1-11-22-1100000000000i3−i30−i3i30000i3−i3−i3i31-100000000
χ4722-22-1-22-12-2-2-2-2-1-21-121112-12211-2-2-22-22000000−i3i31i3−i3-1-111-1-11-12-21-100000000000−i3i30i3−i30000i3−i3−i3i3-1100000000
χ4822-22-1-22-12-2-2-2-2-1-21-121112-12211-2-2-22-22000000i3−i31−i3i3-1-111-1-11-12-21-100000000000i3−i30−i3i30000−i3i3i3−i3-1100000000
χ4922-2-12-222-12211-11-2-1-2-211-121122-1-1000022222-2221-2-2-1-2-1-111000000-2-2-1-1-1-11111-1-1-1111002-20000000000-1100
χ5022-2-12-222-12211-11-2-1-2-211-121122-1-100002222-22-2-2122-1-2-1-111000000-2-2-1-1-1-11111111-1-1-100-2200000000001-100
χ5122-2-12-222-12211-11-2-1-2-211-121122-1-10000-2-2-2-22-2221-2-2-1-2-1-111000000221111-1-1-1-1-1-1-111100-2200000000001-100
χ5222-2-12-222-12211-11-2-1-2-211-121122-1-10000-2-2-2-2-22-2-2122-1-2-1-111000000221111-1-1-1-1111-1-1-1002-20000000000-1100
χ534444-2-4-4-2400-4-4-24-2-20222-420000004-4-4400000000-200200000-22002-20000000000000000000000000000000000
χ544444-2-4-4-2400-4-4-24-2-20222-42000000-444-400000000-2002000002-200-220000000000000000000000000000000000
χ55444-24444-2-4-4-2-2-2-24-2-44-2-2-2422-4-422000000000000-200-2-422220000000000000000000000000000000000000000
χ56444-24-4-44-20022-2-24-20-4222-400000000002222−22−220000-20020000000000022−22−2−222−2−222000000000000000000000000
χ57444-24-4-44-20022-2-24-20-4222-40000000000−22−2222220000-200200000000000−222222−2−222−2−2000000000000000000000000
χ58444-2-244-2-244-2-21-2-214-211-2-2-2-2-2-2-2-20000000044-2-21-2-21-211110000000000000000-211-211000000000000000000
χ59444-2-244-2-244-2-21-2-214-211-2-2-2-2-2-2-2-200000000-4-4221221-2111100000000000000002-1-12-1-1000000000000000000
χ60444-2-244-2-2-4-4-2-21-2-21-4-211-2-22222220000000000−2i32i31−2i32i312-1-1-1-100000000000000000i3−i30i3−i3000000000000000000
χ61444-2-244-2-2-4-4-2-21-2-21-4-211-2-222222200000000002i3−2i312i3−2i312-1-1-1-100000000000000000−i3i30−i3i3000000000000000000
χ6244-44-24-4-240044-2-42-20-2-2-2-4200000044-4-400000000200200000-2-200220000000000000000000000000000000000
χ6344-44-24-4-240044-2-42-20-2-2-2-42000000-4-444000000002002000002200-2-20000000000000000000000000000000000
χ6444-4-244-44-200-2-2-22-4-204-2-22-400000000002222−22−220000200200000000000−2222−2−22222−2−2000000000000000000000000
χ6544-4-244-44-200-2-2-22-4-204-2-22-40000000000−22−222222000020020000000000022−2222−2−2−2−222000000000000000000000000
χ6644-4-24-444-2-4-422-22-4-24-422-24-2-2-4-422000000000000200-2422-2-20000000000000000000000000000000000000000
χ6744-4-2-2-44-2-244221221-42-1-1-2-222-2-2-2-2000000004-4-2-2-1221211-1-10000000000000000-2112-1-1000000000000000000
χ6844-4-2-2-44-2-244221221-42-1-1-2-222-2-2-2-200000000-4422-1-2-21211-1-100000000000000002-1-1-211000000000000000000
χ6944-4-2-2-44-2-2-4-422122142-1-1-2-2-2-222220000000000−2i32i3-12i3−2i31-2-1-11100000000000000000i3−i30−i3i3000000000000000000
χ7044-4-2-2-44-2-2-4-422122142-1-1-2-2-2-2222200000000002i3−2i3-1−2i32i31-2-1-11100000000000000000−i3i30i3−i3000000000000000000
χ714-404400-4-422−2200400-40000000022−2222−220000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000022−220000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000000000000000000000000000
χ724-404400-4-422−2200400-40000000022−2222−2200002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000022−2200000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000000000000000000000000000
χ734-404400-4-4−222200400-400000000−2222−222200002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000000000−222200000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000000000000000000000000000
χ744-404400-4-4−222200400-400000000−2222−22220000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000000000−22220000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ470000000000000000000000000000
χ754-40-2400-4222−2223−23-20020023−23006−622−22−220000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000000000−226−600000000ζ25−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−ζ43000000000000000000000000
χ764-40-2400-4222−2223−23-20020023−23006−622−22−2200002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000000000−226−600000000−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+ζ43000000000000000000000000
χ774-40-2400-4222−22−2323-200200−232300−6622−22−220000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000000000−22−6600000000ζ25−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+ζ43000000000000000000000000
χ784-40-2400-4222−22−2323-200200−232300−6622−22−2200002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000000000−22−6600000000−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−ζ43000000000000000000000000
χ794-40-2400-42−222223−23-20020023−2300−66−22222−200002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000000002−2−6600000000−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−ζ47000000000000000000000000
χ804-40-2400-42−222223−23-20020023−2300−66−22222−20000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ470000000002−2−6600000000ζ11−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+ζ47000000000000000000000000
χ814-40-2400-42−2222−2323-200200−2323006−6−22222−200002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000000002−26−600000000−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+ζ47000000000000000000000000
χ824-40-2400-42−2222−2323-200200−2323006−6−22222−20000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ470000000002−26−600000000ζ11−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−ζ47000000000000000000000000
χ83888-4-4-8-8-4-400442-4-4204-2-244000000000000000000200-2000000000000000000000000000000000000000000000
χ8488-8-4-48-8-4-400-4-424420-42244000000000000000000-200-2000000000000000000000000000000000000000000000
χ858-808-4004-842−4200-400400000000−222242−4200000000000000000−2222000000000000000000000000000000000000000000
χ868-808-4004-8−424200-40040000000022−22−42420000000000000000022−22000000000000000000000000000000000000000000
χ878-80-4-4004442−4243−43200-200−23230026−26−2222−2222000000000000000002−2−660000000000000000000000000000000000000000
χ888-80-4-4004442−42−4343200-20023−2300−2626−2222−2222000000000000000002−26−60000000000000000000000000000000000000000
χ898-80-4-40044−424243−43200-200−232300−262622−2222−2200000000000000000−226−60000000000000000000000000000000000000000
χ908-80-4-40044−4242−4343200-20023−230026−2622−2222−2200000000000000000−22−660000000000000000000000000000000000000000

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