Finite Group Databasebeta

← Group #13144222

Character table — Group #13144222

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11111122222222244444466666666888888121212121212121212121212121212121212121212121212121212121818181818183636363636363636364848484848484848727272727272
order123366488121224242424161648484848333366664412121212121212122424242424242424484848484848484848484848484848482466121281616242448484848121212121212121224661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111-1-1-1-1-1-1111111111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-11-111-1-1
χ6111111111111111-1-1-1-1-1-1111111111-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-1-111
χ7111111111111111-1-1-1-1-1-111111111-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-11-1-111
χ8111111111111111-1-1-1-1-1-111111111-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-111-1-1
χ92222222222222222222222-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000002-1-1-12-1-1-1000000
χ102222222222222222222222-1-1-12-1-1-1-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2111-2111000000
χ11222222222222222222222-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000-12-1-1-12-1-1000000
χ12222222222222222222222-12-1-1-12-1-1-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000001-2111-211000000
χ13222222222222222222222-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000-1-12-1-1-12-1000000
χ14222222222222222222222-1-12-1-1-12-1-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000000000011-2111-21000000
χ15222222222222222222222-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000-1-1-12-1-1-12000000
χ16222222222222222222222-1-1-12-1-1-12-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000111-2111-2000000
χ17222222222222222-2-2-2-2-2-22-1-1-12-1-1-12-222-2-22-1-1-122-1-1-1-1-1-1-2-2-2-21111111111110000000000000002-1-1-1-2111000000
χ18222222222222222-2-2-2-2-2-22-1-1-12-1-1-1-22-2-2222-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111000000000000000-21112-1-1-1000000
χ19222222222222222-2-2-2-2-2-2-12-1-1-12-1-12-222-2-2-12-1-1-1-122-1-1-1-11111-2-2-2-211111111000000000000000-12-1-11-211000000
χ20222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-22-2-222-12-1-1-1-122-1-1-1-11111-2-2-2-2111111110000000000000001-211-12-1-1000000
χ21222222222222222-2-2-2-2-2-2-1-12-1-1-12-12-222-2-2-1-12-1-1-1-1-122-1-111111111-2-2-2-21111000000000000000-1-12-111-21000000
χ22222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-22-2-222-1-12-1-1-1-1-122-1-111111111-2-2-2-2111100000000000000011-21-1-12-1000000
χ23222222222222222-2-2-2-2-2-2-1-1-12-1-1-122-222-2-2-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2000000000000000-1-1-12111-2000000
χ24222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-22-2-222-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2000000000000000111-2-1-1-12000000
χ252222222-2-222-2-2-2-2000000222222220000002222-2-2-2-2-2-2-2-20000000000000000222222-200-2-2000000000000000000
χ262222222-2-222-2-2-2-2000000222222220000002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-220022000000000000000000
χ27222222-200-2-200002−222−2−222222222000000-2-2-2-20000000022−2−222−2−222−2−222−2−22-222-2-202−20022−2−200000000000000
χ28222222-200-2-200002−222−2−222222222000000-2-2-2-20000000022−2−222−2−222−2−222−2−2-22-2-2220−2200−2−22200000000000000
χ29222222-200-2-20000−22−2−22222222222000000-2-2-2-200000000−2−222−2−222−2−222−2−2222-222-2-20−2200−2−22200000000000000
χ30222222-200-2-20000−22−2−22222222222000000-2-2-2-200000000−2−222−2−222−2−222−2−222-22-2-22202−20022−2−200000000000000
χ3133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000033−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000011−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000011−1−i32−1+i32−1−i32−1+i32
χ3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000033−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i321+i321−i3200000000-1-11+i321−i321+i321−i32
χ3333−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-3-33+3i323−3i323+3i323−3i32000000000000000000000000000011−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-1-11+i321−i321+i321−i32
χ3433−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-3-33+3i323−3i323+3i323−3i320000000000000000000000000000-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i321+i321−i320000000011−1−i32−1+i32−1−i32−1+i32
χ3533−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-3-33+3i323−3i323+3i323−3i32000000003-3−3−3i32−3+3i323+3i323−3i32000000000000000000000000000011−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i32000000001-1−1−i32−1+i321+i321−i32
χ3633−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-3-33+3i323−3i323+3i323−3i32000000003-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000-1-11+i321−i321+i321−i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i3200000000-111+i321−i32−1−i32−1+i32
χ3733−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-3-33+3i323−3i323+3i323−3i3200000000-333+3i323−3i32−3−3i32−3+3i32000000000000000000000000000011−1−i32−1+i32−1−i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i3200000000-111+i321−i32−1−i32−1+i32
χ3833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-3-33+3i323−3i323+3i323−3i3200000000-333+3i323−3i32−3−3i32−3+3i320000000000000000000000000000-1-11+i321−i321+i321−i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i32000000001-1−1−i32−1+i321+i321−i32
χ3933−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000033−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000011−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000011−1+i32−1−i32−1+i32−1−i32
χ4033−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000033−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i321−i321+i3200000000-1-11−i321+i321−i321+i32
χ4133−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-3-33−3i323+3i323−3i323+3i32000000000000000000000000000011−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-1-11−i321+i321−i321+i32
χ4233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-3-33−3i323+3i323−3i323+3i320000000000000000000000000000-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i321−i321+i320000000011−1+i32−1−i32−1+i32−1−i32
χ4333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-3-33−3i323+3i323−3i323+3i32000000003-3−3+3i32−3−3i323−3i323+3i32000000000000000000000000000011−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i32000000001-1−1+i32−1−i321−i321+i32
χ4433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-3-33−3i323+3i323−3i323+3i32000000003-3−3+3i32−3−3i323−3i323+3i320000000000000000000000000000-1-11−i321+i321−i321+i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i3200000000-111−i321+i32−1+i32−1−i32
χ4533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000-333−3i323+3i32−3+3i32−3−3i32000000000000000000000000000011−1+i32−1−i32−1+i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i3200000000-111−i321+i32−1+i32−1−i32
χ4633−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000-333−3i323+3i32−3+3i32−3−3i320000000000000000000000000000-1-11−i321+i321−i321+i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i32000000001-1−1+i32−1−i321−i321+i32
χ474444444-4-444-4-4-4-40000004-2-2-24-2-2-20000004-2-2-2-4-4222222000000000000000000000000000000000000000000000
χ484444444-4-444-4-4-4-4000000-24-2-2-24-2-2000000-24-2-222-4-42222000000000000000000000000000000000000000000000
χ494444444-4-444-4-4-4-4000000-2-24-2-2-24-2000000-2-24-22222-4-422000000000000000000000000000000000000000000000
χ504444444-4-444-4-4-4-4000000-2-2-24-2-2-24000000-2-2-24222222-4-4000000000000000000000000000000000000000000000
χ51444444-400-4-4000022−222222−22−224-2-2-24-2-2-2000000-4222000000002222−22−22−2−222−2−222−2−22200000000000000000000000000000
χ52444444-400-4-4000022−222222−22−22-24-2-2-24-2-20000002-42200000000−2−2222222−22−22−2−222−2−22200000000000000000000000000000
χ53444444-400-4-4000022−222222−22−22-2-24-2-2-24-200000022-4200000000−2−222−2−2222222−22−22−2−22200000000000000000000000000000
χ54444444-400-4-4000022−222222−22−22-2-2-24-2-2-24000000222-400000000−2−222−2−222−2−2222222−22−2200000000000000000000000000000
χ55444444-400-4-40000−2222−22−2222224-2-2-24-2-2-2000000-422200000000−22−22222222−2−222−2−222−2−200000000000000000000000000000
χ56444444-400-4-40000−2222−22−222222-24-2-2-24-2-20000002-4220000000022−2−2−22−22222222−2−222−2−200000000000000000000000000000
χ57444444-400-4-40000−2222−22−222222-2-24-2-2-24-200000022-420000000022−2−222−2−2−22−22222222−2−200000000000000000000000000000
χ58444444-400-4-40000−2222−22−222222-2-2-24-2-2-24000000222-40000000022−2−222−2−222−2−2−22−22222200000000000000000000000000000
χ594-444-4-4022−220022−2222−220000004444-4-4-4-4000000000022−2222−2222−2222−22000000000000000000000000000000000000000000000
χ604-444-4-4022−220022−2222−220000004-2-2-2-4222000000000022−22−22−22−220000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ4700000000000000000000000000000
χ614-444-4-4022−220022−2222−220000004-2-2-2-4222000000000022−22−22−22−220000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ4700000000000000000000000000000
χ624-444-4-4022−220022−2222−22000000-24-2-22-4220000000000−2222−22−22−22−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ4700000000000000000000000000000
χ634-444-4-4022−220022−2222−22000000-24-2-22-4220000000000−2222−22−22−22ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ4700000000000000000000000000000
χ644-444-4-4022−220022−2222−22000000-2-24-222-420000000000−22−2222−22−22−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ4700000000000000000000000000000
χ654-444-4-4022−220022−2222−22000000-2-24-222-420000000000−22−2222−22−22ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ4700000000000000000000000000000
χ664-444-4-4022−220022−2222−22000000-2-2-24222-40000000000−22−22−2222−22−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000000000000000000000000000000000
χ674-444-4-4022−220022−2222−22000000-2-2-24222-40000000000−22−22−2222−22ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000000000000000000000000000000000
χ684-444-4-40−222200−2222−22220000004444-4-4-4-40000000000−2222−2222−2222−2222000000000000000000000000000000000000000000000
χ694-444-4-40−222200−2222−22220000004-2-2-2-42220000000000−22222−22−22−20000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ4300000000000000000000000000000
χ704-444-4-40−222200−2222−22220000004-2-2-2-42220000000000−22222−22−22−20000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ4300000000000000000000000000000
χ714-444-4-40−222200−2222−2222000000-24-2-22-42200000000002−2−22222−22−2−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ4300000000000000000000000000000
χ724-444-4-40−222200−2222−2222000000-24-2-22-42200000000002−2−22222−22−2ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ4300000000000000000000000000000
χ734-444-4-40−222200−2222−2222000000-2-24-222-4200000000002−22−2−22222−2−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ4300000000000000000000000000000
χ744-444-4-40−222200−2222−2222000000-2-24-222-4200000000002−22−2−22222−2ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ4300000000000000000000000000000
χ754-444-4-40−222200−2222−2222000000-2-2-24222-400000000002−22−22−2−2222−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000000000000000000000000000000000
χ764-444-4-40−222200−2222−2222000000-2-2-24222-400000000002−22−22−2−2222ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000000000000000000000000000000000
χ7766−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33+3i33−3i33−3i300000000000000000000000000000000000000000000000022−1−i3−1+i3−1−i3−1+i3-2001+i31−i3000000000000000000
χ7866−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33+3i33−3i33−3i3000000000000000000000000000000000000000000000000-2-21+i31−i31+i31−i3200−1−i3−1+i3000000000000000000
χ7966−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000032−32−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ460000000000000000000000000000000000000000002-2−1−i3−1+i31+i31−i302−200−ζ14+ζ26ζ10−ζ46ζ14−ζ26−ζ10+ζ4600000000000000
χ8066−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000032−32−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ46000000000000000000000000000000000000000000-221+i31−i3−1−i3−1+i30−2200ζ14−ζ26−ζ10+ζ46−ζ14+ζ26ζ10−ζ4600000000000000
χ8166−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i30000−32323ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ460000000000000000000000000000000000000000002-2−1−i3−1+i31+i31−i30−2200ζ14−ζ26−ζ10+ζ46−ζ14+ζ26ζ10−ζ4600000000000000
χ8266−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i30000−32323ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ46000000000000000000000000000000000000000000-221+i31−i3−1−i3−1+i302−200−ζ14+ζ26ζ10−ζ46ζ14−ζ26−ζ10+ζ4600000000000000
χ8366−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33−3i33+3i33+3i300000000000000000000000000000000000000000000000022−1+i3−1−i3−1+i3−1−i3-2001−i31+i3000000000000000000
χ8466−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33−3i33+3i33+3i3000000000000000000000000000000000000000000000000-2-21−i31+i31−i31+i3200−1+i3−1−i3000000000000000000
χ8566−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i3000032−323ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ260000000000000000000000000000000000000000002-2−1+i3−1−i31−i31+i302−200ζ10−ζ46−ζ14+ζ26−ζ10+ζ46ζ14−ζ2600000000000000
χ8666−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i3000032−323ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ26000000000000000000000000000000000000000000-221−i31+i3−1+i3−1−i30−2200−ζ10+ζ46ζ14−ζ26ζ10−ζ46−ζ14+ζ2600000000000000
χ8766−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i30000−3232−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ260000000000000000000000000000000000000000002-2−1+i3−1−i31−i31+i30−2200−ζ10+ζ46ζ14−ζ26ζ10−ζ46−ζ14+ζ2600000000000000
χ8866−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i30000−3232−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ26000000000000000000000000000000000000000000-221−i31+i3−1+i3−1−i302−200ζ10−ζ46−ζ14+ζ26−ζ10+ζ46ζ14−ζ2600000000000000
χ8912-12−6−6i3−6+6i36+6i36−6i3062−6200−6ζ14+6ζ266ζ14−6ζ266ζ10−6ζ46−6ζ10+6ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000
χ9012-12−6−6i3−6+6i36+6i36−6i30−6262006ζ14−6ζ26−6ζ14+6ζ26−6ζ10+6ζ466ζ10−6ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000
χ9112-12−6+6i3−6−6i36−6i36+6i3062−62006ζ10−6ζ46−6ζ10+6ζ46−6ζ14+6ζ266ζ14−6ζ2600000000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-12−6+6i3−6−6i36−6i36+6i30−626200−6ζ10+6ζ466ζ10−6ζ466ζ14−6ζ26−6ζ14+6ζ2600000000000000000000000000000000000000000000000000000000000000000000000000000

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