Finite Group Databasebeta

← Group #14418683

Character table — Group #14418683

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222244444444444444444444444555588888888888888888888881010101010101010161616161616161616161616202020202020202020202030303030303030303030303030303030404040406060606060606060
order122234444666444445101010121212121212151530303030303044441212121220202020202060606060606060606060606022441212121220202020606060606060606044444661212121288888888888888881212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii
χ51111111111111-1-1-1-11111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111-1-1-1-11111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ71111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111ii−i−i−i−iii
χ81111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111−i−iiiii−i−i
χ91111111-1-1111-111-1-1111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11-1-1-11-1
χ101111111-1-1111-111-1-1111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1111-11
χ111111111-1-1111-111-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-111-1-11111iiii−i−i−i−iii−i−i−i−iii-1-111−i−ii−iii−ii
χ121111111-1-1111-111-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-111-1-11111−i−i−i−iiiii−i−iiiii−i−i-1-111ii−ii−i−ii−i
χ131111111-1-1111-1-1-111111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-11111-1-1-1-111111111-1-111-1-111-1-111-1-1-11-1-1-11
χ141111111-1-1111-1-1-111111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1111-1
χ151111111-1-1111-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i11-1-1−i−i−iiiii−i
χ161111111-1-1111-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iii11-1-1iii−i−i−i−ii
χ1711111-1-111111-11-11-11111-1-1-1-1111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111-11-111-1-111-1-1-11-11-1-1-111-1-111-1-111-1-1111111111-11-11-1-1-11-1-1-1
χ1811111-1-111111-11-11-11111-1-1-1-1111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111-11-111-1-111-1-1-11-11-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-11-1-1111-1111
χ1911111-1-111111-11-11-11111-1-1-1-11111111111-1-1-1-11-11-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11-11-1111-1-111ii−i−i−i−iiiiiii−i−i−i−i-11-11i−i−i−i−iiii
χ2011111-1-111111-11-11-11111-1-1-1-11111111111-1-1-1-11-11-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11-11-1111-1-111−i−iiiii−i−i−i−i−i−iiiii-11-11−iiiii−i−i−i
χ2111111-1-111111-1-11-111111-1-1-1-111111111111111-11-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-11-1-111-1-111-1-11-11-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1111-111
χ2211111-1-111111-1-11-111111-1-1-1-111111111111111-11-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-11-1-111-1-111-1-11-11-1-111-1-1-1-111-1-11111111111-11-11-11-1-1-11-1-1
χ2311111-1-111111-1-11-111111-1-1-1-11111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-11111-11-111-1-111ii−i−i−i−iii−i−i−i−iiiii1-11-1i−iii−ii−i−i
χ2411111-1-111111-1-11-111111-1-1-1-11111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-11111-11-111-1-111−i−iiiii−i−iiiii−i−i−i−i1-11-1−ii−i−ii−iii
χ2511111-1-1-1-111111-1-111111-1-111-1-11111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1-1-1-11111-1-111-1-111-1-111-1-11-1-11-11-11-11-11
χ2611111-1-1-1-111111-1-111111-1-111-1-11111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1-1-1-111-1-111-1-111-1-111-1-1111-1-111-11-11-11-1
χ2711111-1-1-1-111111-1-111111-1-111-1-111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-111-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1−ii−iii−ii−i
χ2811111-1-1-1-111111-1-111111-1-111-1-111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-111-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1i−ii−i−ii−ii
χ2911111-1-1-1-11111-111-11111-1-111-1-1111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-11-111-1-1-1-1-11111-1-111-1-1-1-111-1-111-111-1-111-1-111-1
χ3011111-1-1-1-11111-111-11111-1-111-1-1111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-11-111-1-1-1-1-111-1-111-1-11111-1-111-1-1-111-11-1-111-1-11
χ3111111-1-1-1-11111-111-11111-1-111-1-111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-11-1-111111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11−iii−ii−i−ii
χ3211111-1-1-1-11111-111-11111-1-111-1-111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-11-1-111111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-11i−i−ii−iii−i
χ332222-12222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ342222-12222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2-21111110000000000000000111100000000
χ352222-12222-1-1-12-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111112-2-2-2-2-1-1-1-1-1-10000000000000000111100000000
χ362222-12222-1-1-12-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111-222221111110000000000000000-1-1-1-100000000
χ372222-122-2-2-1-1-1-222-2-22222-1-11111-1-1-1-1-1-1-1-12222-1-11122-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-122-2-2-1-1-1-11111-222-2-2-1-111110000000000000000-1-11100000000
χ382222-122-2-2-1-1-1-222-2-22222-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-1-11122-2-2-2-2-1-1-1-111111111-2-222111122-2-2-1-1-1-111112-2-22211-1-1-1-1000000000000000011-1-100000000
χ392222-122-2-2-1-1-1-2-2-2222222-1-11111-1-1-1-1-1-1-1-1222211-1-122-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1-2-2221111-1-1-1-1-2-2-222-1-11111000000000000000011-1-100000000
χ402222-122-2-2-1-1-1-2-2-2222222-1-11111-1-1-1-1-1-1-1-1-2-2-2-211-1-122-2-2-2-2-1-1-1-111111111-2-2221111-2-2221111-1-1-1-1222-2-211-1-1-1-10000000000000000-1-11100000000
χ412222-1-2-222-1-1-1-22-22-222221111-1-1-1-1-1-1-1-1-1-12222-11-11-2-222-2-21111-1-1-1-11111-2-222-1-1-1-12-22-2-1-111-1-111-22-22-211-1-1110000000000000000-11-1100000000
χ422222-1-2-222-1-1-1-22-22-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-2-11-11-2-222-2-21111-1-1-1-1111122-2-211112-22-2-1-111-1-1112-22-22-1-111-1-100000000000000001-11-100000000
χ432222-1-2-222-1-1-1-2-22-2222221111-1-1-1-1-1-1-1-1-1-122221-11-1-2-222-2-21111-1-1-1-11111-2-222-1-1-1-1-22-2211-1-111-1-1-2-22-2211-1-11100000000000000001-11-100000000
χ442222-1-2-222-1-1-1-2-22-2222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-21-11-1-2-222-2-21111-1-1-1-1111122-2-21111-22-2211-1-111-1-122-22-2-1-111-1-10000000000000000-11-1100000000
χ452222-1-2-2-2-2-1-1-122-2-22222211-1-111-1-1-1-1-1-1-1-12222-111-1-2-2-2-22211111111-1-1-1-1-2-2-2-2-1-1-1-12-2-22-1-11111-1-122-2-221111-1-10000000000000000-111-100000000
χ462222-1-2-2-2-2-1-1-122-2-22222211-1-111-1-1-1-1-1-1-1-1-2-2-2-2-111-1-2-2-2-22211111111-1-1-1-1222211112-2-22-1-11111-1-1-2-222-2-1-1-1-11100000000000000001-1-1100000000
χ472222-1-2-2-2-2-1-1-12-222-2222211-1-111-1-1-1-1-1-1-1-122221-1-11-2-2-2-22211111111-1-1-1-1-2-2-2-2-1-1-1-1-222-211-1-1-1-1112-222-21111-1-100000000000000001-1-1100000000
χ482222-1-2-2-2-2-1-1-12-222-2222211-1-111-1-1-1-1-1-1-1-1-2-2-2-21-1-11-2-2-2-22211111111-1-1-1-122221111-222-211-1-1-1-111-22-2-22-1-1-1-1110000000000000000-111-100000000
χ4922-2-222-2002-2-20000022-2-22-200002222-2-2-2-222-2-200002-2000022-2-2000000002-20022-2-2000000000000000002-200002-22-22-22-200000000000000000000
χ5022-2-222-2002-2-20000022-2-22-200002222-2-2-2-222-2-200002-2000022-2-2000000002-20022-2-2000000000000000002-20000-22-22-22-2200000000000000000000
χ5122-2-222-2002-2-20000022-2-22-200002222-2-2-2-2-2-22200002-2000022-2-200000000-2200-2-22200000000000000000-2200002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ5222-2-222-2002-2-20000022-2-22-200002222-2-2-2-2-2-22200002-2000022-2-200000000-2200-2-22200000000000000000-220000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ5322-2-22-22002-2-20000022-2-2-2200002222-2-2-2-222-2-20000-220000-2-22200000000-220022-2-200000000000000000-2200002-2-222-2-2200000000000000000000
χ5422-2-22-22002-2-20000022-2-2-2200002222-2-2-2-222-2-20000-220000-2-22200000000-220022-2-200000000000000000-220000-222-2-222-200000000000000000000
χ5522-2-22-22002-2-20000022-2-2-2200002222-2-2-2-2-2-2220000-220000-2-222000000002-200-2-222000000000000000002-200002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ5622-2-22-22002-2-20000022-2-2-2200002222-2-2-2-2-2-2220000-220000-2-222000000002-200-2-222000000000000000002-20000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ572-2-222002-2-2-22000002-22-200002-222-2-222-2-22i−2i2i−2i0000002-200000022-2-20000002i−2i2i−2i2i−2i00000000000000000002i−2i0000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000
χ582-2-222002-2-2-22000002-22-200002-222-2-222-2-22i−2i2i−2i0000002-200000022-2-20000002i−2i2i−2i2i−2i00000000000000000002i−2i00000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000000000
χ592-2-222002-2-2-22000002-22-200002-222-2-222-2-2−2i2i−2i2i0000002-200000022-2-2000000−2i2i−2i2i−2i2i0000000000000000000−2i2i00000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.