Finite Group Databasebeta

← Group #11899572

Character table — Group #11899572

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222444444448888121212121212121212121212161616161818242436484872112222222444444448888121212121212121212121212161616161818242436484872
order12334668836121224242424412242416161616484848484848484812121212242286622266466886612122424242441224241616161648484848484848481212121224228662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11111-1-1-1-11111-1-11-1-11-1-111111111111111111111111-1-11111-1-1-1-11111-1-11-1-11-1-1
χ3111111111111111111111-1-111-1-1-1-111111111-1-1-11-1-11-1111111111111111111111-1-111-1-1-1-111111111-1-1-11-1-11-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11
χ511111111111111111-1111111111111111-1-1-1-111-1-11-1-1-111111111111111111-1111111111111111-1-1-1-111-1-11-1-1-1
χ611111111111111111-111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111111111111111111-111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111
χ711111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-11-1-11-1111111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-11-1-11-11
χ811111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ92222222-2-22222-2-2-2-202-2-200000000000000002200-20002222222-2-22222-2-2-2-202-2-200000000000000002200-2000
χ102222222-2-22222-2-2-2-202-2-20000000000000000-2-20020002222222-2-22222-2-2-2-202-2-20000000000000000-2-2002000
χ112222-2220022-2-200000-2002−22−222−2−222−2−200002-20000002222-2220022-2-200000-2002−22−222−2−222−2−200002-2000000
χ122222-2220022-2-200000-2002−2−2222−2−2−2−2220000-220000002222-2220022-2-200000-2002−2−2222−2−2−2−2220000-22000000
χ132222-2220022-2-200000-200−222−2−2−22222−2−20000-220000002222-2220022-2-200000-200−222−2−2−22222−2−20000-22000000
χ142222-2220022-2-200000-200−22−22−2−222−2−22200002-20000002222-2220022-2-200000-200−22−22−2−222−2−22200002-2000000
χ15222-122-122-1-12-122-1-12-1-1-100220000-1-1-1-12-1-1-1000200-10222-122-122-1-12-122-1-12-1-1-100220000-1-1-1-12-1-1-1000200-10
χ16222-122-122-1-12-122-1-12-1-1-100-2-2000011112-1-1-1000-20010222-122-122-1-12-122-1-12-1-1-100-2-2000011112-1-1-1000-20010
χ17222-122-122-1-12-122-1-1-2-1-1-100220000-1-1-1-1-2111000-20010222-122-122-1-12-122-1-1-2-1-1-100220000-1-1-1-1-2111000-20010
χ18222-122-122-1-12-122-1-1-2-1-1-100-2-200001111-2111000200-10222-122-122-1-12-122-1-1-2-1-1-100-2-200001111-2111000200-10
χ1922-122-1222-1-1-12-1-1222-1-1-12200-1-1-1-10000-12-1-100200-10022-122-1222-1-1-12-1-1222-1-1-12200-1-1-1-10000-12-1-100200-100
χ2022-122-1222-1-1-12-1-1222-1-1-1-2-20011110000-12-1-100-20010022-122-1222-1-1-12-1-1222-1-1-1-2-20011110000-12-1-100-200100
χ2122-122-1222-1-1-12-1-122-2-1-1-12200-1-1-1-100001-21100-20010022-122-1222-1-1-12-1-122-2-1-1-12200-1-1-1-100001-21100-200100
χ2222-122-1222-1-1-12-1-122-2-1-1-1-2-200111100001-21100200-10022-122-1222-1-1-12-1-122-2-1-1-1-2-200111100001-21100200-100
χ23444-244-2-4-4-2-24-2-4-4220-222000000000000000000000000444-244-2-4-4-2-24-2-4-4220-222000000000000000000000000
χ24444-2-44-200-2-2-42000002000022−220000−2−222000000000000444-2-44-200-2-2-42000002000022−220000−2−222000000000000
χ25444-2-44-200-2-2-420000020000−2222000022−2−2000000000000444-2-44-200-2-2-420000020000−2222000022−2−2000000000000
χ2644-244-24-4-4-2-2-2422-4-40-22200000000000000000000000044-244-24-4-4-2-2-2422-4-40-222000000000000000000000000
χ2744-24-4-2400-2-22-40000020022−2200−2−222000000000000000044-24-4-2400-2-22-40000020022−2200−2−2220000000000000000
χ2844-24-4-2400-2-22-400000200−22220022−2−2000000000000000044-24-4-2400-2-22-400000200−22220022−2−20000000000000000
χ2944-2-24-2-24411-2-2-2-2-2-24111000000000000-2-2110000000044-2-24-2-24411-2-2-2-2-2-24111000000000000-2-21100000000
χ3044-2-24-2-24411-2-2-2-2-2-2-411100000000000022-1-10000000044-2-24-2-24411-2-2-2-2-2-2-411100000000000022-1-100000000
χ3144-2-24-2-2-4-411-2-2222201-1-1000000000000003-30000000044-2-24-2-2-4-411-2-2222201-1-1000000000000003-300000000
χ3244-2-24-2-2-4-411-2-2222201-1-100000000000000-330000000044-2-24-2-2-4-411-2-2222201-1-100000000000000-3300000000
χ334-4440-4-422−224-40022−2222−220022−220000000000000000000000004-4440-4-422−224-40022−2222−220022−22000000000000000000000000
χ344-4440-4-4−22224-400−2222−222200−22220000000000000000000000004-4440-4-4−22224-400−2222−222200−2222000000000000000000000000
χ354-44-20-4222−22-220022−22−2200−2200000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ430000000000004-44-20-4222−22-220022−22−2200−2200000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000
χ364-44-20-4222−22-220022−22−2200−2200000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ430000000000004-44-20-4222−22-220022−22−2200−2200000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000
χ374-44-20-42−2222-2200−22222−2002−200000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ470000000000004-44-20-42−2222-2200−22222−2002−200000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000000
χ384-44-20-42−2222-2200−22222−2002−200000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ470000000000004-44-20-42−2222-2200−22222−2002−200000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000000
χ394-4-2402-422−22-2200−2222−2200−220000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000004-4-2402-422−22-2200−2222−2200−220000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ470000000000000000
χ404-4-2402-422−22-2200−2222−2200−220000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000004-4-2402-422−22-2200−2222−2200−220000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ470000000000000000
χ414-4-2402-4−2222-22002−2−2222002−20000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000004-4-2402-4−2222-22002−2−2222002−20000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ430000000000000000
χ424-4-2402-4−2222-22002−2−2222002−20000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000004-4-2402-4−2222-22002−2−2222002−20000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ430000000000000000
χ4388-4-4-8-4-400224400000-20000000000000000000000000088-4-4-8-4-400224400000-200000000000000000000000000
χ448-8-4-404442−422-200−2222−2222002−20000000000000000000000008-8-4-404442−422-200−2222−2222002−2000000000000000000000000
χ458-8-4-4044−42422-20022−2222−2200−220000000000000000000000008-8-4-4044−42422-20022−2222−2200−22000000000000000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111111111-1-11111-1-1-1-11111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-111
χ48111111111111111111111-1-111-1-1-1-111111111-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-111-11
χ49111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-111-1
χ5011111111111111111-1111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1111
χ5111111111111111111-111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111111111111-111-1-1
χ5211111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-11-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1111111-111-11-1
χ5311111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111111111-1-1-1-1-1-1-11
χ542222222-2-22222-2-2-2-202-2-200000000000000002200-2000-2-2-2-2-2-2-222-2-2-2-222220-2220000000000000000-2-2002000
χ552222222-2-22222-2-2-2-202-2-20000000000000000-2-2002000-2-2-2-2-2-2-222-2-2-2-222220-22200000000000000002200-2000
χ562222-2220022-2-200000-2002−22−222−2−222−2−200002-2000000-2-2-2-22-2-200-2-22200000200−22−22−2−222−2−2220000-22000000
χ572222-2220022-2-200000-2002−2−2222−2−2−2−2220000-22000000-2-2-2-22-2-200-2-22200000200−222−2−2−22222−2−200002-2000000
χ582222-2220022-2-200000-200−222−2−2−22222−2−20000-22000000-2-2-2-22-2-200-2-222000002002−2−2222−2−2−2−22200002-2000000
χ592222-2220022-2-200000-200−22−22−2−222−2−22200002-2000000-2-2-2-22-2-200-2-222000002002−22−222−2−222−2−20000-22000000
χ60222-122-122-1-12-122-1-12-1-1-100220000-1-1-1-12-1-1-1000200-10-2-2-21-2-21-2-211-21-2-211-211100-2-200001111-2111000-20010
χ61222-122-122-1-12-122-1-12-1-1-100-2-2000011112-1-1-1000-20010-2-2-21-2-21-2-211-21-2-211-211100220000-1-1-1-1-2111000200-10
χ62222-122-122-1-12-122-1-1-2-1-1-100220000-1-1-1-1-2111000-20010-2-2-21-2-21-2-211-21-2-211211100-2-2000011112-1-1-1000200-10
χ63222-122-122-1-12-122-1-1-2-1-1-100-2-200001111-2111000200-10-2-2-21-2-21-2-211-21-2-211211100220000-1-1-1-12-1-1-1000-20010
χ6422-122-1222-1-1-12-1-1222-1-1-12200-1-1-1-10000-12-1-100200-100-2-21-2-21-2-2-2111-211-2-2-2111-2-200111100001-21100-200100
χ6522-122-1222-1-1-12-1-1222-1-1-1-2-20011110000-12-1-100-200100-2-21-2-21-2-2-2111-211-2-2-21112200-1-1-1-100001-21100200-100
χ6622-122-1222-1-1-12-1-122-2-1-1-12200-1-1-1-100001-21100-200100-2-21-2-21-2-2-2111-211-2-22111-2-20011110000-12-1-100200-100
χ6722-122-1222-1-1-12-1-122-2-1-1-1-2-200111100001-21100200-100-2-21-2-21-2-2-2111-211-2-221112200-1-1-1-10000-12-1-100-200100
χ68444-244-2-4-4-2-24-2-4-4220-222000000000000000000000000-4-4-42-4-424422-4244-2-202-2-2000000000000000000000000
χ69444-2-44-200-2-2-42000002000022−220000−2−222000000000000-4-4-424-4200224-200000-20000−2222000022−2−2000000000000
χ70444-2-44-200-2-2-420000020000−2222000022−2−2000000000000-4-4-424-4200224-200000-2000022−220000−2−222000000000000
χ7144-244-24-4-4-2-2-2422-4-40-222000000000000000000000000-4-42-4-42-444222-4-2-24402-2-2000000000000000000000000
χ7244-24-4-2400-2-22-40000020022−2200−2−2220000000000000000-4-42-442-40022-2400000-200−22220022−2−20000000000000000
χ7344-24-4-2400-2-22-400000200−22220022−2−20000000000000000-4-42-442-40022-2400000-20022−2200−2−2220000000000000000
χ7444-2-24-2-24411-2-2-2-2-2-24111000000000000-2-21100000000-4-422-422-4-4-1-1222222-4-1-1-100000000000022-1-100000000
χ7544-2-24-2-24411-2-2-2-2-2-2-411100000000000022-1-100000000-4-422-422-4-4-1-12222224-1-1-1000000000000-2-21100000000
χ7644-2-24-2-2-4-411-2-2222201-1-1000000000000003-300000000-4-422-42244-1-122-2-2-2-20-11100000000000000-3300000000
χ7744-2-24-2-2-4-411-2-2222201-1-100000000000000-3300000000-4-422-42244-1-122-2-2-2-20-111000000000000003-300000000
χ784-4440-4-422−224-40022−2222−220022−22000000000000000000000000-44-4-4044−2222-4400−2222−222200−2222000000000000000000000000
χ794-4440-4-4−22224-400−2222−222200−2222000000000000000000000000-44-4-404422−22-440022−2222−220022−22000000000000000000000000
χ804-44-20-4222−22-220022−22−2200−2200000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000-44-4204-2−22222-200−22222−2002−200000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000
χ814-44-20-4222−22-220022−22−2200−2200000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000-44-4204-2−22222-200−22222−2002−200000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000
χ824-44-20-42−2222-2200−22222−2002−200000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000000-44-4204-222−222-20022−22−2200−2200000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000000
χ834-44-20-42−2222-2200−22222−2002−200000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000000-44-4204-222−222-20022−22−2200−2200000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000000
χ844-4-2402-422−22-2200−2222−2200−220000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ470000000000000000-442-40-24−22222-2002−2−2222002−20000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ470000000000000000
χ854-4-2402-422−22-2200−2222−2200−220000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ470000000000000000-442-40-24−22222-2002−2−2222002−20000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ470000000000000000
χ864-4-2402-4−2222-22002−2−2222002−20000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ430000000000000000-442-40-2422−222-200−2222−2200−220000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ430000000000000000
χ874-4-2402-4−2222-22002−2−2222002−20000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ430000000000000000-442-40-2422−222-200−2222−2200−220000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ430000000000000000
χ8888-4-4-8-4-400224400000-200000000000000000000000000-8-84484400-2-2-4-400000200000000000000000000000000
χ898-8-4-404442−422-200−2222−2222002−2000000000000000000000000-88440-4-4−4242-220022−2222−2200−22000000000000000000000000
χ908-8-4-4044−42422-20022−2222−2200−22000000000000000000000000-88440-4-442−42-2200−2222−2222002−2000000000000000000000000

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