Finite Group Databasebeta

← Group #11797621

Character table — Group #11797621

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11222222222224444444444448888888881818181872112222222222244444444444488888888818181818721122222222222444444444444888888888181818187211222222222224444444444448888888881818181872
order123333466668812121212242424242424242426666666616161616244121212124121212128812121212242424242424242441212121212121212161616164226666466668812121212242424242424242426666666616161616244121212124121212128812121212242424242424242441212121212121212161616164
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-11111111111111111111111111-1-1-1-1-1-1-1-1-11111-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11
χ522222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-20000000000000022222222222-2-22222-2-2-2-2-2-2-2-200000000000000
χ6222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20222222-2222200-2-2-2-20000000000000000022−2−20
χ7222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220222222-2222200-2-2-2-200000000000000000−2−2220
χ8222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000
χ9222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111100000
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−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−i300000222-1-1-122-1-1-1-2-22-1-1-1-2-2111111000i3i3i3−i3−i3−i300000
χ1222-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-10000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-12-1-12-1-12-1-100000
χ1322-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-2110000022-12-1-12-12-1-122-12-1-1-1-122-1-1-1-1-211-211-21100000
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−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−i30000022-12-1-12-12-1-1-2-2-12-1-111-2-211110i3−i30i3−i30i3−i300000
χ1622-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-120000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-12-1-1-12-1-1-1200000
χ1722-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-20000022-1-12-12-1-12-122-1-12-1-1-1-1-122-1-1-2111-2111-200000
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−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−i300000022-1-12-12-1-12-1-2-2-1-12-11111-2-2110i3−i3−i30i3i3−i3000000
χ2022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-10000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-100000
χ2122-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-210000022-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-2100000
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−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−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−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+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+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−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
χ28444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000444-2-2-2-44-2-2-200-42220000000000000000000000
χ2944-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-422000000000000000000000044-24-2-2-4-24-2-2002-4220000000000000000000000
χ3044-2-24-2-4-2-24-20022-42000000000000000000000044-2-24-2-4-2-24-20022-42000000000000000000000044-2-24-2-4-2-24-20022-42000000000000000000000044-2-24-2-4-2-24-20022-420000000000000000000000
χ3144-2-2-24-4-2-2-2400222-4000000000000000000000044-2-2-24-4-2-2-2400222-4000000000000000000000044-2-2-24-4-2-2-2400222-4000000000000000000000044-2-2-24-4-2-2-2400222-40000000000000000000000
χ324-44-2-2-20-422222−22000022−22−22−22−22000000000000004-44-2-2-20-422222−22000022−22−22−22−22000000000000004-44-2-2-20-422222−22000022−22−22−22−22000000000000004-44-2-2-20-422222−22000022−22−22−22−2200000000000000
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χ344-4-24-2-202-42222−220000−2222−22−22−22000000000000004-4-24-2-202-42222−220000−2222−22−22−22000000000000004-4-24-2-202-42222−220000−2222−22−22−22000000000000004-4-24-2-202-42222−220000−2222−22−22−2200000000000000
χ354-4-24-2-202-422−222200002−2−22222−22−2000000000000004-4-24-2-202-422−222200002−2−22222−22−2000000000000004-4-24-2-202-422−222200002−2−22222−22−2000000000000004-4-24-2-202-422−222200002−2−22222−22−200000000000000
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χ374-4-2-24-2022-42−222200002−22−2−22222−2000000000000004-4-2-24-2022-42−222200002−22−2−22222−2000000000000004-4-2-24-2022-42−222200002−22−2−22222−2000000000000004-4-2-24-2022-42−222200002−22−2−22222−200000000000000
χ384-4-2-2-240222-422−220000−22−22−2222−22000000000000004-4-2-2-240222-422−220000−22−22−2222−22000000000000004-4-2-2-240222-422−220000−22−22−2222−22000000000000004-4-2-2-240222-422−220000−22−22−2222−2200000000000000
χ394-4-2-2-240222-4−222200002−22−22−2−2222000000000000004-4-2-2-240222-4−222200002−22−22−2−2222000000000000004-4-2-2-240222-4−222200002−22−22−2−2222000000000000004-4-2-2-240222-4−222200002−22−22−2−222200000000000000
χ40111111111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ411111111111111111111111111111111111-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiii
χ421111111111111111111111111-1-1-1-1-1-1-1-1-11111-1iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iiiii−i-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−i−i−ii
χ431111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−ii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−i
χ4422222222222-2-22222-2-2-2-2-2-2-2-2000000000000002i2i2i2i2i2i2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i00000000000000-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222200000000000000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000
χ45222222-2222200-2-2-2-20000000000000000022−2−202i2i2i2i2i2i−2i2i2i2i2i00−2i−2i−2i−2i00000000000000000i2i2−i2−i20-2-2-2-2-2-22-2-2-2-200222200000000000000000−2−2220−2i−2i−2i−2i−2i−2i2i−2i−2i−2i−2i002i2i2i2i00000000000000000−i2−i2i2i20
χ46222222-2222200-2-2-2-200000000000000000−2−22202i2i2i2i2i2i−2i2i2i2i2i00−2i−2i−2i−2i00000000000000000−i2−i2i2i20-2-2-2-2-2-22-2-2-2-20022220000000000000000022−2−20−2i−2i−2i−2i−2i−2i2i−2i−2i−2i−2i002i2i2i2i00000000000000000i2i2−i2−i20
χ47222-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1000002i2i2i−i−i−i2i2i−i−i−i2i2i2i−i−i−i2i2i−i−i−i−i−i−i2i2i2i−i−i−i−i−i−i00000-2-2-2111-2-2111-2-2-2111-2-2111111-2-2-211111100000−2i−2i−2iiii−2i−2iiii−2i−2i−2iiii−2i−2iiiiiii−2i−2i−2iiiiiii00000
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χ13822-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-21111-21-2100000−2i−2iiii−2i−2iiii−2i−2i−2iiii−2iiiiiii−2i−2i2i−i−i−i−i2i−i2i−i00000-2-2111-2-2111-2-2-2111-2111111-2-22-1-1-1-12-12-1000002i2i−i−i−i2i2i−i−i−i2i2i2i−i−i−i2i−i−i−i−i−i−i2i2i−2iiiii−2ii−2ii00000
χ13922-1-1-122-1-1-12-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i300000−2i−2iiii−2i−2iiii−2i2i2iiii−2i−i−i−i−i−i−i2i2i0−33−33030−300000-2-2111-2-2111-222111-2-1-1-1-1-1-1220i3−i3i3−i30−i30i3000002i2i−i−i−i2i2i−i−i−i2i−2i−2i−i−i−i2iiiiiii−2i−2i03−33−30−30300000
χ14022-1-1-122-1-1-12-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i300000−2i−2iiii−2i−2iiii−2i2i2iiii−2i−i−i−i−i−i−i2i2i03−33−30−30300000-2-2111-2-2111-222111-2-1-1-1-1-1-1220−i3i3−i3i30i30−i3000002i2i−i−i−i2i2i−i−i−i2i−2i−2i−i−i−i2iiiiiii−2i−2i0−33−33030−300000
χ1412-222220-2-2-2-22−200002−22−22−22−2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430−2i2i−2i−2i−2i−2i02i2i2i2i−i2i20000−i2i2−i2i2−i2i2−i2i2000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470-22-2-2-2-202222−220000−22−22−22−22000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4302i−2i2i2i2i2i0−2i−2i−2i−2ii2−i20000i2−i2i2−i2i2−i2i2−i2000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470
χ1422-222220-2-2-2-22−200002−22−22−22−2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430−2i2i−2i−2i−2i−2i02i2i2i2i−i2i20000−i2i2−i2i2−i2i2−i2i2000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470-22-2-2-2-202222−220000−22−22−22−22000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4302i−2i2i2i2i2i0−2i−2i−2i−2ii2−i20000i2−i2i2−i2i2−i2i2−i2000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470
χ1432-222220-2-2-2-2−220000−22−22−22−22000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470−2i2i−2i−2i−2i−2i02i2i2i2ii2−i20000i2−i2i2−i2i2−i2i2−i2000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430-22-2-2-2-2022222−200002−22−22−22−2000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4702i−2i2i2i2i2i0−2i−2i−2i−2i−i2i20000−i2i2−i2i2−i2i2−i2i2000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430
χ1442-222220-2-2-2-2−220000−22−22−22−22000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470−2i2i−2i−2i−2i−2i02i2i2i2ii2−i20000i2−i2i2−i2i2−i2i2−i2000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430-22-2-2-2-2022222−200002−22−22−22−2000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4702i−2i2i2i2i2i0−2i−2i−2i−2i−i2i20000−i2i2−i2i2−i2i2−i2i2000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430
χ145444-2-2-2-44-2-2-200-42220000000000000000000000−4i−4i−4i2i2i2i4i−4i2i2i2i004i−2i−2i−2i0000000000000000000000-4-4-42224-4222004-2-2-200000000000000000000004i4i4i−2i−2i−2i−4i4i−2i−2i−2i00−4i2i2i2i0000000000000000000000
χ14644-24-2-2-4-24-2-2002-4220000000000000000000000−4i−4i2i−4i2i2i4i2i−4i2i2i00−2i4i−2i−2i0000000000000000000000-4-42-42242-42200-24-2-200000000000000000000004i4i−2i4i−2i−2i−4i−2i4i−2i−2i002i−4i2i2i0000000000000000000000
χ14744-2-24-2-4-2-24-20022-420000000000000000000000−4i−4i2i2i−4i2i4i2i2i−4i2i00−2i−2i4i−2i0000000000000000000000-4-422-42422-4200-2-24-200000000000000000000004i4i−2i−2i4i−2i−4i−2i−2i4i−2i002i2i−4i2i0000000000000000000000
χ14844-2-2-24-4-2-2-2400222-40000000000000000000000−4i−4i2i2i2i−4i4i2i2i2i−4i00−2i−2i−2i4i0000000000000000000000-4-4222-44222-400-2-2-2400000000000000000000004i4i−2i−2i−2i4i−4i−2i−2i−2i4i002i2i2i−4i0000000000000000000000
χ1494-44-2-2-20-422222−22000022−22−22−22−2200000000000000−4i4i−4i2i2i2i04i−2i−2i−2i−2i22i20000−2i22i2i2−i2i2−i2i2−i200000000000000-44-422204-2-2-2−22220000−22222−22−22−2000000000000004i−4i4i−2i−2i−2i0−4i2i2i2i2i2−2i200002i2−2i2−i2i2−i2i2−i2i200000000000000
χ1504-44-2-2-20-4222−22220000−22222−22−22−200000000000000−4i4i−4i2i2i2i04i−2i−2i−2i2i2−2i200002i2−2i2−i2i2−i2i2−i2i200000000000000-44-422204-2-2-222−22000022−22−22−22−22000000000000004i−4i4i−2i−2i−2i0−4i2i2i2i−2i22i20000−2i22i2i2−i2i2−i2i2−i200000000000000
χ1514-4-24-2-202-42222−220000−2222−22−22−2200000000000000−4i4i2i−4i2i2i0−2i4i−2i−2i−2i22i20000i2−i2−2i22i2i2−i2i2−i200000000000000-442-4220-24-2-2−222200002−2−22222−22−2000000000000004i−4i−2i4i−2i−2i02i−4i2i2i2i2−2i20000−i2i22i2−2i2−i2i2−i2i200000000000000
χ1524-4-24-2-202-422−222200002−2−22222−22−200000000000000−4i4i2i−4i2i2i0−2i4i−2i−2i2i2−2i20000−i2i22i2−2i2−i2i2−i2i200000000000000-442-4220-24-2-222−220000−2222−22−22−22000000000000004i−4i−2i4i−2i−2i02i−4i2i2i−2i22i20000i2−i2−2i22i2i2−i2i2−i200000000000000
χ1534-4-2-24-2022-4222−220000−22−2222−22−2200000000000000−4i4i2i2i−4i2i0−2i−2i4i−2i−2i22i20000i2−i2i2−i2−2i22i2i2−i200000000000000-4422-420-2-24-2−222200002−22−2−22222−2000000000000004i−4i−2i−2i4i−2i02i2i−4i2i2i2−2i20000−i2i2−i2i22i2−2i2−i2i200000000000000
χ1544-4-2-24-2022-42−222200002−22−2−22222−200000000000000−4i4i2i2i−4i2i0−2i−2i4i−2i2i2−2i20000−i2i2−i2i22i2−2i2−i2i200000000000000-4422-420-2-24-222−220000−22−2222−22−22000000000000004i−4i−2i−2i4i−2i02i2i−4i2i−2i22i20000i2−i2i2−i2−2i22i2i2−i200000000000000
χ1554-4-2-2-240222-422−220000−22−22−2222−2200000000000000−4i4i2i2i2i−4i0−2i−2i−2i4i−2i22i20000i2−i2i2−i2i2−i2−2i22i200000000000000-44222-40-2-2-24−222200002−22−22−2−2222000000000000004i−4i−2i−2i−2i4i02i2i2i−4i2i2−2i20000−i2i2−i2i2−i2i22i2−2i200000000000000
χ1564-4-2-2-240222-4−222200002−22−22−2−222200000000000000−4i4i2i2i2i−4i0−2i−2i−2i4i2i2−2i20000−i2i2−i2i2−i2i22i2−2i200000000000000-44222-40-2-2-2422−220000−22−22−2222−22000000000000004i−4i−2i−2i−2i4i02i2i2i−4i−2i22i20000i2−i2i2−i2i2−i2−2i22i200000000000000

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