Finite Group Databasebeta

← Group #14415241

Character table — Group #14415241

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222244444444444444444444445555888888888888888888888810101010101010101010151515151515151516161616161616161616161620202020202020202020303030303030303030303030404040406060606060606060
order12223444444666224451010101212121212121515303030303030444466121220202020202060606060606060606060606022444412121212888888881010202030303030606060602244661212121288888888888866121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-1-1-1−i−i−i−iiiii
χ511111111111111-1-1-1-11111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−iii−i−i1111−i−i−i−iiiii
χ811111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−iii1111iiii−i−i−i−i
χ91111111-1-1-1-11111-11-1111111-1-1-1-11111111111111-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111111-11-111-1-111-1-11-11-1-1-111-1-111-1-111-1-1-1-1-1-11-11-111-1-111-1-1
χ101111111-1-1-1-11111-11-1111111-1-1-1-11111111111111-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-1-1-111-1-1-1-111-1-11111111-11-1-1-111-1-111
χ111111111-1-1-1-11111-11-1111111-1-1-1-111111111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1iiii−i−i−i−i1-11-111-1-111-1-1-11-1111-1-111ii−i−i−i−iii−i−iii-11-11ii−i−i−i−iii
χ121111111-1-1-1-11111-11-1111111-1-1-1-111111111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1−i−i−i−iiiii1-11-111-1-111-1-1-11-1111-1-111−i−iiiii−i−iii−i−i-11-11−i−iiiii−i−i
χ131111111-1-1-1-1111-11-11111111-1-1-1-1111111111111-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-11-11-1-111-1-111-11-11-1-111-1-111-1-111-1-1-1-1-1-1-11-11-1-111-1-111
χ141111111-1-1-1-1111-11-11111111-1-1-1-1111111111111-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-11-1-111-1-1-1-111-1-1111111-11-1111-1-111-1-1
χ151111111-1-1-1-1111-11-11111111-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1iiii−i−i−i−i-11-11-1-111-1-1111-11-111-1-111ii−i−i−i−iii−i−iii1-11-1−i−iiiii−i−i
χ161111111-1-1-1-1111-11-11111111-1-1-1-111111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1−i−i−i−iiiii-11-11-1-111-1-1111-11-111-1-111−i−iiiii−i−iii−i−i1-11-1ii−i−i−i−iii
χ1711111-1-111-1-11111-1-111111-1-111-1-11111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1111-1-1-1-111-111-1-1-1-1-111-1-111-1-111-1-1-1-1-111-11-11-11-11-1
χ1811111-1-111-1-11111-1-111111-1-111-1-11111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-111-1-1-1-1-11111-1-111-1-11111-111-1-11-11-11-11
χ1911111-1-111-1-11111-1-111111-1-111-1-111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i1-1-1111-1-1-1-1111-1-111111-1-1−i−iiiii−i−i−i−iii1-1-11i−ii−i−ii−ii
χ2011111-1-111-1-11111-1-111111-1-111-1-111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii1-1-1111-1-1-1-1111-1-111111-1-1ii−i−i−i−iiiii−i−i1-1-11−ii−iii−ii−i
χ2111111-1-111-1-1111-111-11111-1-111-1-1111111111111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-111-1-1-11111-1-11-1-11-1-1-1-111-1-111-1-111-1-1-1-11-1-11-11-11-11-11
χ2211111-1-111-1-1111-111-11111-1-111-1-1111111111111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-11-1-1-1-11111-1-111-1-111111-1-111-11-11-11-1
χ2311111-1-111-1-1111-111-11111-1-111-1-111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i-111-1-1-11111-1-1-111-11111-1-1−i−iiiii−i−i−i−iii-111-1−ii−iii−ii−i
χ2411111-1-111-1-1111-111-11111-1-111-1-111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii-111-1-1-11111-1-1-111-11111-1-1ii−i−i−i−iiiii−i−i-111-1i−ii−i−ii−ii
χ2511111-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-11
χ2611111-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-111-1-111-1
χ2711111-1-1-1-11111111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-111-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1i−i−ii−iii−i
χ2811111-1-1-1-11111111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1−iii−ii−i−ii
χ2911111-1-1-1-111111-1-1111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1
χ3011111-1-1-1-111111-1-1111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-111-1-11-1-111-1-11
χ3111111-1-1-1-111111-1-1111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-11111-1-111-1-11111−i−i−i−iiiiiii−i−i-1-111−iii−ii−i−ii
χ3211111-1-1-1-111111-1-1111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-11111-1-111-1-11111iiii−i−i−i−i−i−iii-1-111i−i−ii−iii−i
χ332222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000000000000-1-1-1-100000000
χ342222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000002222-1-1-1-1-1-1-1-1-2-2-2-2111111000000000000111100000000
χ352222-1222222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-100000000-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1000000000000111100000000
χ362222-1222222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000-2-2-2-2111111112222111111000000000000-1-1-1-100000000
χ372222-122-2-2-2-2-1-1-12-22-22222-1-11111-1-1-1-1-1-1-1-12222-11-1122-2-2-2-2-1-1-1-111111111-2-222-2-2-1-1-1-1000000002-22-2-1-111-1-1112-22-211-1-111000000000000-11-1100000000
χ382222-122-2-2-2-2-1-1-12-22-22222-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-11-1122-2-2-2-2-1-1-1-11111111122-2-2221111000000002-22-2-1-111-1-111-22-22-1-111-1-10000000000001-11-100000000
χ392222-122-2-2-2-2-1-1-1-22-222222-1-11111-1-1-1-1-1-1-1-122221-11-122-2-2-2-2-1-1-1-111111111-2-222-2-2-1-1-1-100000000-22-2211-1-111-1-1-22-2211-1-1110000000000001-11-100000000
χ402222-122-2-2-2-2-1-1-1-22-222222-1-11111-1-1-1-1-1-1-1-1-2-2-2-21-11-122-2-2-2-2-1-1-1-11111111122-2-222111100000000-22-2211-1-111-1-12-22-2-1-111-1-1000000000000-11-1100000000
χ412222-1-2-222-2-2-1-1-12-2-22222211-1-111-1-1-1-1-1-1-1-12222-111-1-2-222-2-21111-1-1-1-11111-2-2-2-222-1-1-1-1000000002-2-22-1-11111-1-1-222-21111-1-10000000000001-1-1100000000
χ422222-1-2-222-2-2-1-1-12-2-22222211-1-111-1-1-1-1-1-1-1-1-2-2-2-2-111-1-2-222-2-21111-1-1-1-111112222-2-21111000000002-2-22-1-11111-1-12-2-22-1-1-1-111000000000000-111-100000000
χ432222-1-2-222-2-2-1-1-1-222-2222211-1-111-1-1-1-1-1-1-1-122221-1-11-2-222-2-21111-1-1-1-11111-2-2-2-222-1-1-1-100000000-222-211-1-1-1-1112-2-221111-1-1000000000000-111-100000000
χ442222-1-2-222-2-2-1-1-1-222-2222211-1-111-1-1-1-1-1-1-1-1-2-2-2-21-1-11-2-222-2-21111-1-1-1-111112222-2-2111100000000-222-211-1-1-1-111-222-2-1-1-1-1110000000000001-1-1100000000
χ452222-1-2-2-2-222-1-1-122-2-222221111-1-1-1-1-1-1-1-1-1-12222-1-111-2-2-2-22211111111-1-1-1-122-2-2-2-2-1-1-1-10000000022-2-2-1-1-1-11111-2-222-1-1111100000000000011-1-100000000
χ462222-1-2-2-2-222-1-1-122-2-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-2-22211111111-1-1-1-1-2-2222211110000000022-2-2-1-1-1-1111122-2-211-1-1-1-1000000000000-1-11100000000
χ472222-1-2-2-2-222-1-1-1-2-22222221111-1-1-1-1-1-1-1-1-1-1222211-1-1-2-2-2-22211111111-1-1-1-122-2-2-2-2-1-1-1-100000000-2-2221111-1-1-1-122-2-2-1-11111000000000000-1-11100000000
χ482222-1-2-2-2-222-1-1-1-2-22222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-1-2-2-2-22211111111-1-1-1-1-2-22222111100000000-2-2221111-1-1-1-1-2-22211-1-1-1-100000000000011-1-100000000
χ4922-2-22002i−2i002-2-2000022-2-2002i−2i002222-2-2-2-22i−2i2i−2i0000002i−2i0000002i2i−2i−2i000000002-22i2i−2i−2i2ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000000000000000002-200−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000000000
χ5022-2-22002i−2i002-2-2000022-2-2002i−2i002222-2-2-2-22i−2i2i−2i0000002i−2i0000002i2i−2i−2i000000002-22i2i−2i−2i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000000000000002-2002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.