Finite Group Databasebeta

← Group #11772113

Character table — Group #11772113

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444161616161616161616161616161616161616363636363636363672727272
order12223333444466666666666688884881212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424441212121212121212121212121212121216161616161616168888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-111-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ611111111-111-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ711111111-111-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−iii
χ811111111-111-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiii−i−i
χ9222222222222222222222222-2-2-2-22-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ10222222222-2-222222222222220000-200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000022−2−222−2−20000
χ11222222222-2-222222222222220000-200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000−2−222−2−2220000
χ1222222222-222-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222000000000000000000000000000000
χ1322222222-2-2-2-2222222222222000020022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000
χ1422222222-2-2-2-2222222222222000020022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000
χ1522222-1-1-1222222-1-1-1-1-1-12-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ1622222-1-1-1222222-1-1-1-1-1-12-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000000
χ1722222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-2-2-22-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000
χ1822222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-2-2-22-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000
χ1922222-1-1-1-222-222-1-1-1-1-1-12-1-1-12222-2-2-2-2-2111111-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i3000000000000
χ2022222-1-1-1-222-222-1-1-1-1-1-12-1-1-12222-2-2-2-2-2111111-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i3000000000000
χ2122222-1-1-1-222-222-1-1-1-1-1-12-1-1-1-2-2-2-2-222-2-2111111-2-211111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112-222-1-1-1-1-1-1-2-2111111000000000000
χ2222222-1-1-1-222-222-1-1-1-1-1-12-1-1-1-2-2-2-2-222-2-2111111-2-211111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-1000000000000
χ232222-12-1-12222-1-122-1-1-1-1-12-1-12222222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-1000000000000
χ242222-12-1-12222-1-122-1-1-1-1-12-1-12222222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-211-21111-211-211000000000000
χ252222-12-1-12222-1-122-1-1-1-1-12-1-1-2-2-2-22-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000
χ262222-12-1-12222-1-122-1-1-1-1-12-1-1-2-2-2-22-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000
χ272222-12-1-1-222-2-1-122-1-1-1-1-12-1-12222-2-2-211-2-2111111-2-21111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3000000000000
χ282222-12-1-1-222-2-1-122-1-1-1-1-12-1-12222-2-2-211-2-2111111-2-21111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3000000000000
χ292222-12-1-1-222-2-1-122-1-1-1-1-12-1-1-2-2-2-2-22211-2-2111111-2-21111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112-2-1-12-1-12-1-111-211-211000000000000
χ302222-12-1-1-222-2-1-122-1-1-1-1-12-1-1-2-2-2-2-22211-2-2111111-2-21111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2211-211-211-1-12-1-12-1-1000000000000
χ312222-1-12-12222-1-1-1-122-1-1-1-12-12222222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ322222-1-12-12222-1-1-1-122-1-1-1-12-12222222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2111-2111-2111-2111-2000000000000
χ332222-1-12-12222-1-1-1-122-1-1-1-12-1-2-2-2-22-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-2111100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000000000
χ342222-1-12-12222-1-1-1-122-1-1-1-12-1-2-2-2-22-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-2111100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30000000000000
χ352222-1-12-1-222-2-1-1-1-122-1-1-1-12-12222-2-2-21111-2-2111111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i30000000000000
χ362222-1-12-1-222-2-1-1-1-122-1-1-1-12-12222-2-2-21111-2-2111111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i30000000000000
χ372222-1-12-1-222-2-1-1-1-122-1-1-1-12-1-2-2-2-2-2221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211112-2-1-1-12-1-1-12111-2111-2000000000000
χ382222-1-12-1-222-2-1-1-1-122-1-1-1-12-1-2-2-2-2-2221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-22111-2111-2-1-1-12-1-1-12000000000000
χ392222-1-1-122222-1-1-1-1-1-122-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-12-1-1-1-1-12-12-1000000000000
χ402222-1-1-122222-1-1-1-1-1-122-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-21-211111-21-21000000000000
χ412222-1-1-122222-1-1-1-1-1-122-1-1-12-2-2-2-22-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3000000000000
χ422222-1-1-122222-1-1-1-1-1-122-1-1-12-2-2-2-22-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3000000000000
χ432222-1-1-12-222-2-1-1-1-1-1-122-1-1-122222-2-2-2111111-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i3000000000000
χ442222-1-1-12-222-2-1-1-1-1-1-122-1-1-122222-2-2-2111111-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i3000000000000
χ452222-1-1-12-222-2-1-1-1-1-1-122-1-1-12-2-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-22-2-1-1-1-12-12-11111-21-21000000000000
χ462222-1-1-12-222-2-1-1-1-1-1-122-1-1-12-2-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2-221111-21-21-1-1-1-12-12-1000000000000
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χ522-2-222222200-2-2-2-2-2-2-2-2-222222−22−202−2000000002-22-22-22-20000000022−2−222−2−222−2−222−2−22−22−22−22−22−22−22−22−2000000000000000000ζ25+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+ζ430000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.