Finite Group Databasebeta

← Group #11899677

Character table — Group #11899677

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11222222222224444444444444444666666668888888881212121212121212121212121212121212121212161616161818242424243232363636484848487272
order123346688161616163612122424242448484848484848482244666622122424484848488812121616161624242424484848484848484866662422226681616666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111-11-111-1-11111111111-11-111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-1-111-1-1-1-1
χ4111111111111111111111111111111-11-111-1-1-1-111111111-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ511111111111111111111111111111-11-11-1-111111111111-11-11-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1
χ611111111111111111111111111111-11-11-1-111-1-11111111-11-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-111
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-1
χ9111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-11-11-11-1-11-11-11-1
χ10111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-111-1-1-11-11-11
χ11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11-1111-1-1-1-11-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1111-1-11-11
χ12111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-11111-1-1-1-11-11-1-1-11111-1-1-1-1-1-11111-1-111-1-1-111-1-11-111-111-11-1
χ13111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111-1111-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-11-1-111-111-1-11
χ14111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-11111-1-1-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-11-11-1111-1-111-1
χ15111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-11-111-11-1-1-11-111-1
χ16111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111111-11-1-111-1-11-11-1-11
χ172222222-2-200002222-2-2-2-20000000022222222002-2-20000-2-2220000-2-2-2-200000000000022000000-200000000
χ182222222-2-200002222-2-2-2-2000000002-22-222-2-2002-2-20000-222-20000-2-222000000000000-2-2000000200000000
χ192222222-2-200002222-2-2-2-200000000-22-22-2-222002-2-200002-2-22000022-2-2000000000000-2-2000000200000000
χ202222222-2-200002222-2-2-2-200000000-2-2-2-2-2-2-2-2002-2-2000022-2-20000222200000000000022000000-200000000
χ212222-2220022−2−222-2-200002222−2−2−2−222-2-2222200-20022−2−200-2-22−22−2000022−2−222−2−20000-2200000002−2000000
χ222222-2220022−2−222-2-200002222−2−2−2−22-2-2222-2-200-20022−2−200-222−2−22000022−2−2−2−22200002-20000000−22000000
χ232222-2220022−2−222-2-200002222−2−2−2−2-222-2-2-22200-20022−2−2002-2−222−20000−2−22222−2−200002-20000000−22000000
χ242222-2220022−2−222-2-200002222−2−2−2−2-2-222-2-2-2-200-20022−2−20022−22−220000−2−222−2−2220000-2200000002−2000000
χ252222-22200−2−22222-2-20000−2−2−2−2222222-2-2222200-200−2−22200-2-2−22−220000−2−222−2−2220000-220000000−22000000
χ262222-22200−2−22222-2-20000−2−2−2−222222-2-2222-2-200-200−2−22200-22−222−20000−2−22222−2−200002-200000002−2000000
χ272222-22200−2−22222-2-20000−2−2−2−22222-222-2-2-22200-200−2−222002-22−2−22000022−2−2−2−22200002-200000002−2000000
χ282222-22200−2−22222-2-20000−2−2−2−22222-2-222-2-2-2-200-200−2−22200222−22−2000022−2−222−2−20000-220000000−22000000
χ29222-122-1222222-1-12-122-1-122-1-122-1-1020200-1-122-1-1-1-1-1-1-1020-1002200-1-10000-1-1-1-12-12-1000022-1-100000-1-100
χ30222-122-1222222-1-12-122-1-122-1-122-1-1020200-1-1-2-2-1-1-1-1-1-1-1020-1002200-1-10000-1-1-1-1-21-210000-2-211000001100
χ31222-122-1222222-1-12-122-1-122-1-122-1-10-20-2001122-1-1-1-1-1-1-10-20100-2-20011000011112-12-10000-2-2-1-1000001100
χ32222-122-1222222-1-12-122-1-122-1-122-1-10-20-20011-2-2-1-1-1-1-1-1-10-20100-2-2001100001111-21-210000221100000-1-100
χ33222-122-122-2-2-2-2-1-12-122-1-1-2-211-2-211020200-1-12-2-1-1-11111020-100-2-200-1-1000011112-1-2100002-2-1100000-1100
χ34222-122-122-2-2-2-2-1-12-122-1-1-2-211-2-211020200-1-1-22-1-1-11111020-100-2-200-1-100001111-212-10000-221-1000001-100
χ35222-122-122-2-2-2-2-1-12-122-1-1-2-211-2-2110-20-200112-2-1-1-111110-201002200110000-1-1-1-12-1-210000-22-11000001-100
χ36222-122-122-2-2-2-2-1-12-122-1-1-2-211-2-2110-20-20011-22-1-1-111110-201002200110000-1-1-1-1-212-100002-21-100000-1100
χ3722-122-12222222-1-1-12-1-122-1-122-1-1222020-1-10022-1-1-1-1-1-1-120-102200-1-100-1-1-1-10000-12-12002200-1-1000-1-10000
χ3822-122-12222222-1-1-12-1-122-1-122-1-1222020-1-100-2-2-1-1-1-1-1-1-120-102200-1-100-1-1-1-100001-21-200-2-20011000110000
χ3922-122-12222222-1-1-12-1-122-1-122-1-122-20-20110022-1-1-1-1-1-1-1-2010-2-200110011110000-12-1200-2-200-1-1000110000
χ4022-122-12222222-1-1-12-1-122-1-122-1-122-20-201100-2-2-1-1-1-1-1-1-1-2010-2-2001100111100001-21-200220011000-1-10000
χ4122-122-1222-2-2-2-2-1-1-12-1-12211-2-211-2-22020-1-1002-2-1-1-1111120-10-2-200-1-10011110000-121-2002-200-11000-110000
χ4222-122-1222-2-2-2-2-1-1-12-1-12211-2-211-2-22020-1-100-22-1-1-1111120-10-2-200-1-100111100001-2-1200-22001-10001-10000
χ4322-122-1222-2-2-2-2-1-1-12-1-12211-2-211-2-2-20-2011002-2-1-1-11111-201022001100-1-1-1-10000-121-200-2200-110001-10000
χ4422-122-1222-2-2-2-2-1-1-12-1-12211-2-211-2-2-20-201100-22-1-1-11111-201022001100-1-1-1-100001-2-12002-2001-1000-110000
χ45444-244-2-4-40000-2-24-2-4-42200000000040400-2-200-22200000-40-20000002200000000000000000000000000000
χ46444-244-2-4-40000-2-24-2-4-422000000000-40-4002200-22200000402000000-2-200000000000000000000000000000
χ47444-2-44-2002222−22−22-2-2-4200002222−2−2−22−2222040-400-2-200200−2−22200020022−2200000000−2−222000000000000000000000
χ48444-2-44-2002222−22−22-2-2-4200002222−2−2−22−22220-404002200200−2−222000-200−22220000000022−2−2000000000000000000000
χ49444-2-44-200−22−222222-2-2-420000−22−22222222−2−2040-400-2-20020022−2−2000200−22220000000022−2−2000000000000000000000
χ50444-2-44-200−22−222222-2-2-420000−22−22222222−2−20-40400220020022−2−2000-20022−2200000000−2−222000000000000000000000
χ5144-244-24-4-40000-2-2-2422-4-4000000004040-2-20000-2220000-40-200000220000000000000000000000000000000
χ5244-244-24-4-40000-2-2-2422-4-400000000-40-40220000-222000040200000-2-20000000000000000000000000000000
χ5344-24-4-24002222−22−22-2-22-40000−2−2222222−22−2240-40-2-20000200−2−222002022−22000000−2−2220000000000000000000000000
χ5444-24-4-24002222−22−22-2-22-40000−2−2222222−22−22-4040220000200−2−22200-20−222200000022−2−20000000000000000000000000
χ5544-24-4-2400−22−222222-2-22-4000022−22−22−2−2222240-40-2-2000020022−2−20020−222200000022−2−20000000000000000000000000
χ5644-24-4-2400−22−222222-2-22-4000022−22−22−2−22222-404022000020022−2−200-2022−22000000−2−2220000000000000000000000000
χ5744-2-24-2-244444411-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000044111111100000000000000000000-2-2-2-200000011000000000
χ5844-2-24-2-244444411-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-41111111000000000000000000002222000000-1-1000000000
χ5944-2-24-2-244-4-4-4-411-2-2-2-2-2-222222222000000004-4111-1-1-1-100000000000000000000-2-2220000001-1000000000
χ6044-2-24-2-244-4-4-4-411-2-2-2-2-2-22222222200000000-44111-1-1-1-10000000000000000000022-2-2000000-11000000000
χ614-4440-4-422−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ434-40022−2222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000000000022−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000000000000000000000000000000000000
χ624-4440-4-422−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ434-40022−2222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000000000022−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000000000000000000000000000000000000
χ634-4440-4-4−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ474-400−2222−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000000000000000000000000000000000
χ644-4440-4-4−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ474-400−2222−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000000000000000000000000000000000
χ654-44-20-4222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43-220022−22−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000−2i32i3000−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000000000i6−i60000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000000000000000000000
χ664-44-20-4222−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43-220022−22−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002i3−2i3000−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000000000−i6i60000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000000000000000000000
χ674-44-20-4222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43-220022−22−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000−2i32i3000−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000000000i6−i60000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000000000000000000000
χ684-44-20-4222−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43-220022−22−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002i3−2i3000−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000000000−i6i60000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000000000000000000000
χ694-44-20-42−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47-2200−22222−22ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000−2i32i30002−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000000−i6i60000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000000000000000000000
χ704-44-20-42−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47-2200−22222−22ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002i3−2i30002−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000000i6−i60000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000000000000000000000
χ714-44-20-42−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47-2200−22222−2−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000−2i32i30002−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000000−i6i60000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000000000000000000000
χ724-44-20-42−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47-2200−22222−2−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002i3−2i30002−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000000i6−i60000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000000000000000000000
χ734-4-2402-422−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43-2200−2222−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000−2i32i300000−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300000000i6−i600−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000000
χ744-4-2402-422−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43-2200−2222−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300002i3−2i300000−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300000000−i6i600ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000000
χ754-4-2402-422−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43-2200−2222−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000−2i32i300000−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300000000i6−i600ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000000
χ764-4-2402-422−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43-2200−2222−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300002i3−2i300000−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300000000−i6i600−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000000
χ774-4-2402-4−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47-22002−2−2222−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000−2i32i3000002−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700000000−i6i600−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000000
χ784-4-2402-4−22222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47-22002−2−2222−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700002i3−2i3000002−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700000000i6−i600ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000000
χ794-4-2402-4−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47-22002−2−2222ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ470000−2i32i3000002−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700000000−i6i600ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000000
χ804-4-2402-4−2222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47-22002−2−2222ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700002i3−2i3000002−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700000000i6−i600−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000000
χ8188-4-48-4-4-8-8000022-4-444440000000000000000002-2-2000000000000000000000000000000000000000000000
χ8288-4-4-8-4-4004242−42−4222440000−22−22−22−22222222220000000000-20022−2−200000000000000000000000000000000000000000
χ8388-4-4-8-4-400−42−4242422244000022222222−22−22−22−220000000000-200−2−22200000000000000000000000000000000000000000
χ848-8-4-404442−42−4ζ25+4ζ31−4ζ41+4ζ474ζ25−4ζ31+4ζ41−4ζ474ζ11−4ζ13−4ζ29+4ζ43−4ζ11+4ζ13+4ζ29−4ζ432-200−2222−22222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000000000002−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300000000000000000000000000000000000000000
χ858-8-4-404442−424ζ25−4ζ31+4ζ41−4ζ47−4ζ25+4ζ31−4ζ41+4ζ47−4ζ11+4ζ13+4ζ29−4ζ434ζ11−4ζ13−4ζ29+4ζ432-200−2222−2222−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000000000002−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300000000000000000000000000000000000000000
χ868-8-4-4044−42424ζ11−4ζ13−4ζ29+4ζ43−4ζ11+4ζ13+4ζ29−4ζ434ζ25−4ζ31+4ζ41−4ζ47−4ζ25+4ζ31−4ζ41+4ζ472-20022−2222−22−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000000−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700000000000000000000000000000000000000000
χ878-8-4-4044−4242−4ζ11+4ζ13+4ζ29−4ζ434ζ11−4ζ13−4ζ29+4ζ43−4ζ25+4ζ31−4ζ41+4ζ474ζ25−4ζ31+4ζ41−4ζ472-20022−2222−222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000000−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700000000000000000000000000000000000000000

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