Finite Group Databasebeta

← Group #13160233

Character table — Group #13160233

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11222222222224444444444448888888881818181872224444444444488888888888816161616161616161636363636144336666666666612121212121212121212121224242424242424242454545454216
order12333346666881212121224242424242424244121212121212121216161616436333312666624241212121224242424242424241212121212121212124848484812226666466668812121212242424242424242441212121212121212161616164
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11
χ522222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-200000000000000
χ6222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20
χ7222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220
χ8222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000
χ9222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000
χ10222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000
χ11222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000
χ1222-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-100000
χ1322-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-21100000
χ1422-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i300000
χ1522-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i300000
χ1622-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-1200000
χ1722-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-200000
χ1822-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i3000000
χ1922-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i3000000
χ2022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-100000
χ2122-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-2100000
χ2222-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i300000
χ2322-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i300000
χ242-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430
χ252-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430
χ262-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470
χ272-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470
χ28444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000
χ2944-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-4220000000000000000000000
χ3044-2-24-2-4-2-24-20022-42000000000000000000000044-2-24-2-4-2-24-20022-42000000000000000000000044-2-24-2-4-2-24-20022-420000000000000000000000
χ3144-2-2-24-4-2-2-2400222-4000000000000000000000044-2-2-24-4-2-2-2400222-4000000000000000000000044-2-2-24-4-2-2-2400222-40000000000000000000000
χ324-44-2-2-20-422222−22000022−22−22−22−22000000000000004-44-2-2-20-422222−22000022−22−22−22−22000000000000004-44-2-2-20-422222−22000022−22−22−22−2200000000000000
χ334-44-2-2-20-4222−22220000−22222−22−22−2000000000000004-44-2-2-20-4222−22220000−22222−22−22−2000000000000004-44-2-2-20-4222−22220000−22222−22−22−200000000000000
χ344-4-24-2-202-42222−220000−2222−22−22−22000000000000004-4-24-2-202-42222−220000−2222−22−22−22000000000000004-4-24-2-202-42222−220000−2222−22−22−2200000000000000
χ354-4-24-2-202-422−222200002−2−22222−22−2000000000000004-4-24-2-202-422−222200002−2−22222−22−2000000000000004-4-24-2-202-422−222200002−2−22222−22−200000000000000
χ364-4-2-24-2022-4222−220000−22−2222−22−22000000000000004-4-2-24-2022-4222−220000−22−2222−22−22000000000000004-4-2-24-2022-4222−220000−22−2222−22−2200000000000000
χ374-4-2-24-2022-42−222200002−22−2−22222−2000000000000004-4-2-24-2022-42−222200002−22−2−22222−2000000000000004-4-2-24-2022-42−222200002−22−2−22222−200000000000000
χ384-4-2-2-240222-422−220000−22−22−2222−22000000000000004-4-2-2-240222-422−220000−22−22−2222−22000000000000004-4-2-2-240222-422−220000−22−22−2222−2200000000000000
χ394-4-2-2-240222-4−222200002−22−22−2−2222000000000000004-4-2-2-240222-4−222200002−22−22−2−2222000000000000004-4-2-2-240222-4−222200002−22−22−2−222200000000000000
χ40111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ421111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11
χ431111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1
χ4422222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-200000000000000-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222200000000000000
χ45222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20-2-2-2-2-2-22-2-2-2-200222200000000000000000−2−2220
χ46222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220-2-2-2-2-2-22-2-2-2-20022220000000000000000022−2−20
χ47222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000-2-2-2111-2-2111-2-2-2111-2-2111111-2-2-211111100000
χ48222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000-2-2-2111-2-2111-2-2-2111-2-2111111222-1-1-1-1-1-100000
χ49222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000−i3−i3−i3i3i3i300000-2-2-2111-2-211122-211122-1-1-1-1-1-1000i3i3i3−i3−i3−i300000
χ50222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000-2-2-2111-2-211122-211122-1-1-1-1-1-1000−i3−i3−i3i3i3i300000
χ5122-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-100000-2-21-211-21-211-2-21-21111-2-21111-211-211-21100000
χ5222-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-21100000-2-21-211-21-211-2-21-21111-2-211112-1-12-1-12-1-100000
χ5322-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110−i3i30−i3i30−i3i300000-2-21-211-21-211221-211-1-122-1-1-1-10i3−i30i3−i30i3−i300000
χ5422-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i300000-2-21-211-21-211221-211-1-122-1-1-1-10−i3i30−i3i30−i3i300000
χ5522-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-1200000-2-211-21-211-21-2-211-211111-2-211-2111-2111-200000
χ5622-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-200000-2-211-21-211-21-2-211-211111-2-2112-1-1-12-1-1-1200000
χ5722-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110−i3i3i30−i3−i3i3000000-2-211-21-211-212211-21-1-1-1-122-1-10i3−i3−i30i3i3−i3000000
χ5822-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i3000000-2-211-21-211-212211-21-1-1-1-122-1-10−i3i3i30−i3−i3i3000000
χ5922-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-100000-2-2111-2-2111-2-2-2111-2111111-2-2-21111-21-2100000
χ6022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-2100000-2-2111-2-2111-2-2-2111-2111111-2-22-1-1-1-12-12-100000
χ6122-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i300000-2-2111-2-2111-222111-2-1-1-1-1-1-1220i3−i3i3−i30−i30i300000
χ6222-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i30000022-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i300000-2-2111-2-2111-222111-2-1-1-1-1-1-1220−i3i3−i3i30i30−i300000
χ632-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430-22-2-2-2-202222−220000−22−22−22−22000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430
χ642-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4302-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430-22-2-2-2-202222−220000−22−22−22−22000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430
χ652-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470-22-2-2-2-2022222−200002−22−22−22−2000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470
χ662-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4702-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470-22-2-2-2-2022222−200002−22−22−22−2000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470
χ67444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000-4-4-42224-4222004-2-2-20000000000000000000000
χ6844-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-4220000000000000000000000-4-42-42242-42200-24-2-20000000000000000000000
χ6944-2-24-2-4-2-24-20022-42000000000000000000000044-2-24-2-4-2-24-20022-420000000000000000000000-4-422-42422-4200-2-24-20000000000000000000000
χ7044-2-2-24-4-2-2-2400222-4000000000000000000000044-2-2-24-4-2-2-2400222-40000000000000000000000-4-4222-44222-400-2-2-240000000000000000000000
χ714-44-2-2-20-422222−22000022−22−22−22−22000000000000004-44-2-2-20-422222−22000022−22−22−22−2200000000000000-44-422204-2-2-2−22220000−22222−22−22−200000000000000
χ724-44-2-2-20-4222−22220000−22222−22−22−2000000000000004-44-2-2-20-4222−22220000−22222−22−22−200000000000000-44-422204-2-2-222−22000022−22−22−22−2200000000000000
χ734-4-24-2-202-42222−220000−2222−22−22−22000000000000004-4-24-2-202-42222−220000−2222−22−22−2200000000000000-442-4220-24-2-2−222200002−2−22222−22−200000000000000
χ744-4-24-2-202-422−222200002−2−22222−22−2000000000000004-4-24-2-202-422−222200002−2−22222−22−200000000000000-442-4220-24-2-222−220000−2222−22−22−2200000000000000
χ754-4-2-24-2022-4222−220000−22−2222−22−22000000000000004-4-2-24-2022-4222−220000−22−2222−22−2200000000000000-4422-420-2-24-2−222200002−22−2−22222−200000000000000
χ764-4-2-24-2022-42−222200002−22−2−22222−2000000000000004-4-2-24-2022-42−222200002−22−2−22222−200000000000000-4422-420-2-24-222−220000−22−2222−22−2200000000000000
χ774-4-2-2-240222-422−220000−22−22−2222−22000000000000004-4-2-2-240222-422−220000−22−22−2222−2200000000000000-44222-40-2-2-24−222200002−22−22−2−222200000000000000
χ784-4-2-2-240222-4−222200002−22−22−2−2222000000000000004-4-2-2-240222-4−222200002−22−22−2−222200000000000000-44222-40-2-2-2422−220000−22−22−2222−2200000000000000
χ79222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ802222222222222222222222222222222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111000000000000000000000000000000000000000
χ812222222222222222222222222-2-2-2-2-2-2-2-2-22222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11000000000000000000000000000000000000000
χ822222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1000000000000000000000000000000000000000
χ8344444444444-4-44444-4-4-4-4-4-4-4-400000000000000-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222200000000000000000000000000000000000000000000000000000
χ84444444-4444400-4-4-4-4000000000000000002222−22−220-2-2-2-2-2-22-2-2-2-200222200000000000000000−2−2220000000000000000000000000000000000000000
χ85444444-4444400-4-4-4-400000000000000000−22−2222220-2-2-2-2-2-22-2-2-2-20022220000000000000000022−2−20000000000000000000000000000000000000000
χ86444-2-2-244-2-2-2444-2-2-244-2-2-2-2-2-2444-2-2-2-2-2-200000-2-2-2111-2-2111-2-2-2111-2-2111111-2-2-211111100000000000000000000000000000000000000000000
χ87444-2-2-244-2-2-2444-2-2-244-2-2-2-2-2-2-4-4-422222200000-2-2-2111-2-2111-2-2-2111-2-2111111222-1-1-1-1-1-100000000000000000000000000000000000000000000
χ88444-2-2-244-2-2-2-4-44-2-2-2-4-4222222000−2i3−2i3−2i32i32i32i300000-2-2-2111-2-211122-211122-1-1-1-1-1-1000i3i3i3−i3−i3−i300000000000000000000000000000000000000000000
χ89444-2-2-244-2-2-2-4-44-2-2-2-4-42222220002i32i32i3−2i3−2i3−2i300000-2-2-2111-2-211122-211122-1-1-1-1-1-1000−i3−i3−i3i3i3i300000000000000000000000000000000000000000000
χ9044-24-2-24-24-2-244-24-2-2-2-244-2-2-2-24-2-24-2-24-2-200000-2-21-211-21-211-2-21-21111-2-21111-211-211-21100000000000000000000000000000000000000000000
χ9144-24-2-24-24-2-244-24-2-2-2-244-2-2-2-2-422-422-42200000-2-21-211-21-211-2-21-21111-2-211112-1-12-1-12-1-100000000000000000000000000000000000000000000
χ9244-24-2-24-24-2-2-4-4-24-2-222-4-422220−2i32i30−2i32i30−2i32i300000-2-21-211-21-211221-211-1-122-1-1-1-10i3−i30i3−i30i3−i300000000000000000000000000000000000000000000
χ9344-24-2-24-24-2-2-4-4-24-2-222-4-4222202i3−2i302i3−2i302i3−2i300000-2-21-211-21-211221-211-1-122-1-1-1-10−i3i30−i3i30−i3i300000000000000000000000000000000000000000000
χ9444-2-24-24-2-24-244-2-24-2-2-2-2-244-2-24-2-2-24-2-2-2400000-2-211-21-211-21-2-211-211111-2-211-2111-2111-200000000000000000000000000000000000000000000
χ9544-2-24-24-2-24-244-2-24-2-2-2-2-244-2-2-4222-4222-400000-2-211-21-211-21-2-211-211111-2-2112-1-1-12-1-1-1200000000000000000000000000000000000000000000
χ9644-2-24-24-2-24-2-4-4-2-24-22222-4-4220−2i32i32i30−2i3−2i32i3000000-2-211-21-211-212211-21-1-1-1-122-1-10i3−i3−i30i3i3−i3000000000000000000000000000000000000000000000
χ9744-2-24-24-2-24-2-4-4-2-24-22222-4-42202i3−2i3−2i302i32i3−2i3000000-2-211-21-211-212211-21-1-1-1-122-1-10−i3i3i30−i3−i3i3000000000000000000000000000000000000000000000
χ9844-2-2-244-2-2-2444-2-2-24-2-2-2-2-2-2444-2-2-2-24-24-200000-2-2111-2-2111-2-2-2111-2111111-2-2-21111-21-2100000000000000000000000000000000000000000000
χ9944-2-2-244-2-2-2444-2-2-24-2-2-2-2-2-244-42222-42-4200000-2-2111-2-2111-2-2-2111-2111111-2-22-1-1-1-12-12-100000000000000000000000000000000000000000000
χ10044-2-2-244-2-2-24-4-4-2-2-24222222-4-40−2i32i3−2i32i302i30−2i300000-2-2111-2-2111-222111-2-1-1-1-1-1-1220i3−i3i3−i30−i30i300000000000000000000000000000000000000000000
χ10144-2-2-244-2-2-24-4-4-2-2-24222222-4-402i3−2i32i3−2i30−2i302i300000-2-2111-2-2111-222111-2-1-1-1-1-1-1220−i3i3−i3i30i30−i300000000000000000000000000000000000000000000
χ1024-444440-4-4-4-422−22000022−2222−2222−2222−22000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430-22-2-2-2-202222−220000−22−22−22−22000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000000000000000000000000000000000000000
χ1034-444440-4-4-4-422−22000022−2222−2222−2222−220000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430-22-2-2-2-202222−220000−22−22−22−22000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000000000000000000000000000000000000000
χ1044-444440-4-4-4-4−22220000−2222−2222−2222−22220000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470-22-2-2-2-2022222−200002−22−22−22−2000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000000000000000000000000000000000000
χ1054-444440-4-4-4-4−22220000−2222−2222−2222−2222000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ470-22-2-2-2-2022222−200002−22−22−22−2000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000000000000000000000000000000000000
χ106888-4-4-4-88-4-4-400-84440000000000000000000000-4-4-42224-4222004-2-2-20000000000000000000000000000000000000000000000000000000000000
χ10788-48-4-4-8-48-4-4004-8440000000000000000000000-4-42-42242-42200-24-2-20000000000000000000000000000000000000000000000000000000000000
χ10888-4-48-4-8-4-48-40044-840000000000000000000000-4-422-42422-4200-2-24-20000000000000000000000000000000000000000000000000000000000000
χ10988-4-4-48-8-4-4-4800444-80000000000000000000000-4-4222-44222-400-2-2-240000000000000000000000000000000000000000000000000000000000000
χ1108-88-4-4-40-844442−42000042−42−2222−2222−222200000000000000-44-422204-2-2-2−22220000−22222−22−22−200000000000000000000000000000000000000000000000000000
χ1118-88-4-4-40-8444−42420000−424222−2222−2222−2200000000000000-44-422204-2-2-222−22000022−22−22−22−2200000000000000000000000000000000000000000000000000000
χ1128-8-48-4-404-84442−420000−222242−42−2222−222200000000000000-442-4220-24-2-2−222200002−2−22222−22−200000000000000000000000000000000000000000000000000000
χ1138-8-48-4-404-844−4242000022−22−424222−2222−2200000000000000-442-4220-24-2-222−220000−2222−22−22−2200000000000000000000000000000000000000000000000000000
χ1148-8-4-48-4044-8442−420000−2222−222242−42−222200000000000000-4422-420-2-24-2−222200002−22−2−22222−200000000000000000000000000000000000000000000000000000
χ1158-8-4-48-4044-84−4242000022−2222−22−424222−2200000000000000-4422-420-2-24-222−220000−22−2222−22−2200000000000000000000000000000000000000000000000000000
χ1168-8-4-4-480444-842−420000−2222−2222−222242−4200000000000000-44222-40-2-2-24−222200002−22−22−2−222200000000000000000000000000000000000000000000000000000
χ1178-8-4-4-480444-8−4242000022−2222−2222−22−424200000000000000-44222-40-2-2-2422−220000−22−22−2222−2200000000000000000000000000000000000000000000000000000

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