Finite Group Databasebeta

← Group #14415639

Character table — Group #14415639

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222224444444444445555668888881010101010101010101010101010101010101010101010101010121212161616161616161620202020202020202020202020202020202020202020242424243030303030304848606060606060606060
order12223446664451010101212121212124444441520203030302288888888888812121212242424242424242424420206060606060602266666688242424242424242424242424101020202288882020444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1
χ311111111111111111111111111-1-111111111111111111111111111111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111111111-1-1iiiiii−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i11111111111-1-1-1-1-1-1-1-1i−iiiiiii−i−i−i−i−i−i1111-1-1ii−i−i11-1-1-1i−iii−i−i
χ61111111111111111111111-1-1-1-111111111-1-1−i−i−i−i−i−iiiiiii-1-1-1-1−i−i−i−iiiii11111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−iiiiiii1111-1-1−i−iii11-1-1-1−ii−i−iii
χ71111111111111111111111-1-1-1-1-1-1111111-1-1iiiiii−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-1-111111111-1-1-1-1-1-1-1-1i−iiiiiii−i−i−i−i−i−i-1-1-1-111−i−iii-1-1111−ii−i−iii
χ81111111111111111111111-1-1-1-1-1-1111111-1-1−i−i−i−i−i−iiiiiii-1-1-1-1−i−i−i−iiiii-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−iiiiiii-1-1-1-111ii−i−i-1-1111i−iii−i−i
χ91111111111-1-1111111-1-1-1-1111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-11-1-1-1-11111
χ101111111111-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-11-1-111-1-1-1-1
χ111111111111-1-1111111-1-1-1-11111-1-1111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1
χ121111111111-1-1111111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111111111111111-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ131111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i−i−iii-1-1-1-1−i−i−i−iiiii1-1-1-1-111-1-1-1-111-1-11111−iiiiii−i−i−i−i−i−iii1111-1-1−i−iii-1-1-111−iiii−i−i
χ141111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiiiii−i−i-1-1-1-1iiii−i−i−i−i1-1-1-1-111-1-1-1-111-1-11111i−i−i−i−i−iiiiiii−i−i1111-1-1ii−i−i-1-1-111i−i−i−iii
χ151111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i−i−iii-1-1-1-1−i−i−i−iiiii-111-1-111-1-1-1-111-1-11111−iiiiii−i−i−i−i−i−iii-1-1-1-111ii−i−i111-1-1i−i−i−iii
χ161111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiiiii−i−i-1-1-1-1iiii−i−i−i−i-111-1-111-1-1-1-111-1-11111i−i−i−i−i−iiiiiii−i−i-1-1-1-111−i−iii111-1-1−iiii−i−i
χ1711111-1-11111-11111-1-111-1-11111111-1-1111-1-111-1-11111-1-111111111111111-11-11-1-1-111-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-11-1-1-11-11-1
χ1811111-1-11111-11111-1-111-1-11111111-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11-1-1-111-1-111-1-11111-1-11111-1-11111-1-1-1-11-1-11-111-11-11
χ1911111-1-11111-11111-1-111-1-11111-1-11-1-1111-1-111-1-11111-1-1111111111111111-111-1-1-111-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1111-11-11
χ2011111-1-11111-11111-1-111-1-11111-1-11-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-1-111-1-11-1-1-111-1-111-1-11111-1-1111111-1-1-1-11111-111-11-1-11-11-1
χ2111111-1-11111-11111-1-111-1-1-1-1-1-1111-1-111111ii−i−iii−i−iii−i−i-1-1-1-1iiii−i−i−i−i-11-11-1-1-111-1-1-1111-1-111−iiii−i−i−i−i−i−iiiii-1-111-1-1ii−i−i1-11-11−iii−i−ii
χ2211111-1-11111-11111-1-111-1-1-1-1-1-1111-1-111111−i−iii−i−iii−i−iii-1-1-1-1−i−i−i−iiiii-11-11-1-1-111-1-1-1111-1-111i−i−i−iiiiiii−i−i−i−i-1-111-1-1−i−iii1-11-11i−i−iii−i
χ2311111-1-11111-11111-1-111-1-1-1-1-1-1-1-11-1-111111ii−i−iii−i−iii−i−i-1-1-1-1iiii−i−i−i−i1-111-1-1-111-1-1-1111-1-111−iiii−i−i−i−i−i−iiiii11-1-111−i−iii-11-11-1i−i−iii−i
χ2411111-1-11111-11111-1-111-1-1-1-1-1-1-1-11-1-111111−i−iii−i−iii−i−iii-1-1-1-1−i−i−i−iiiii1-111-1-1-111-1-1-1111-1-111i−i−i−iiiiiii−i−i−i−i11-1-111ii−i−i-11-11-1−iii−i−ii
χ2511111-1-1111-111111-1-1-1-1111111111-1-1111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-11-1-1-1-1111111-1-11111-1-111-1-11111-1-1-1-1-11-1-11111-11-1
χ2611111-1-1111-111111-1-1-1-1111111111-1-1111-1-1-1-11111-1-11111111111111111-1-11-11-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-11-1-11-1-1-11-11
χ2711111-1-1111-111111-1-1-1-1111111-1-11-1-1111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-111-11-1-1-1-1111111-1-11111-1-11111-1-1-1-111111-111-1-1-1-11-11
χ2811111-1-1111-111111-1-1-1-1111111-1-11-1-1111-1-1-1-11111-1-1111111111111111111-1-11-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1111-11-1
χ2911111-1-1111-111111-1-1-1-111-1-1-1-1111-1-111111ii−i−i−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-11-11-1-1-1-1111-11111-1-1i−iii−i−iii−i−iii−i−i-1-111-1-1−i−iii-1111-1i−ii−i−ii
χ3011111-1-1111-111111-1-1-1-111-1-1-1-1111-1-111111−i−iiiiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-11-11-1-1-1-1111-11111-1-1−ii−i−iii−i−iii−i−iii-1-111-1-1ii−i−i-1111-1−ii−iii−i
χ3111111-1-1111-111111-1-1-1-111-1-1-1-1-1-11-1-111111ii−i−i−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii11-1-11-1-1-1-1111-11111-1-1i−iii−i−iii−i−iii−i−i11-1-111ii−i−i1-1-1-11−ii−iii−i
χ3211111-1-1111-111111-1-1-1-111-1-1-1-1-1-11-1-111111−i−iiiiiii−i−i−i−i-1-1-1-1iiii−i−i−i−i11-1-11-1-1-1-1111-11111-1-1−ii−i−iii−i−iii−i−iii11-1-111−i−iii1-1-1-11i−ii−i−ii
χ332222-122-1-1-1222222-1-1-1-1-1-1222200-122-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-100022-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ342222-122-1-1-1222222-1-1-1-1-1-1222200-122-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-11111111100022-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111111111000000000000000000000
χ352222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-200-122-1-1-1-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i1111−i−i−i−iiiii00022-1-1-1-1-1-1-2-21111112i−2i−i−i−i−i−i−iiiiiii000000000000000000000
χ362222-122-1-1-1222222-1-1-1-1-1-1-2-2-2-200-122-1-1-1-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i1111iiii−i−i−i−i00022-1-1-1-1-1-1-2-2111111−2i2iiiiiii−i−i−i−i−i−i000000000000000000000
χ372222-122-1-1-1-2-22222-1-11111222200-122-1-1-1222222-2-22222-2-2-1-1-1-111111111000-2-2-1-11111-2-2-1-11111-2-2-1-1-1-111-1-1-1-111000000000000000000000
χ382222-122-1-1-1-2-22222-1-11111222200-122-1-1-122-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1000-2-2-1-11111-2-2-1-11111221111-1-11111-1-1000000000000000000000
χ392222-122-1-1-1-2-22222-1-11111-2-2-2-200-122-1-1-1-2-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i1111iiii−i−i−i−i000-2-2-1-111112211-1-1-1-1−2i2i−i−i−i−iiiiiii−i−i000000000000000000000
χ402222-122-1-1-1-2-22222-1-11111-2-2-2-200-122-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i1111−i−i−i−iiiii000-2-2-1-111112211-1-1-1-12i−2iiiii−i−i−i−i−i−iii000000000000000000000
χ412222-1-2-2-1-1-12-2222211-1-111222200-1-2-2-1-1-1-2-222-2-22222-2-222-1-1-1-1-1-1-1-1-1-1-1-10002-211-1-1112-211-1-111-2-2-1-11111-1-11111000000000000000000000
χ422222-1-2-2-1-1-12-2222211-1-111222200-1-2-2-1-1-1-2-2-2-222-2-2-2-222-2-2-1-1-1-1111111110002-211-1-1112-211-1-1112211-1-1-1-111-1-1-1-1000000000000000000000
χ432222-1-2-2-1-1-12-2222211-1-111-2-2-2-200-1-2-2-1-1-1222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii0002-211-1-111-22-1-111-1-1−2i2i−i−iiiiiii−i−i−i−i000000000000000000000
χ442222-1-2-2-1-1-12-2222211-1-111-2-2-2-200-1-2-2-1-1-122−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i1111iiii−i−i−i−i0002-211-1-111-22-1-111-1-12i−2iii−i−i−i−i−i−iiiii000000000000000000000
χ452222-1-2-2-1-1-1-2222221111-1-1222200-1-2-2-1-1-1-2-222-2-2-2-222-2-2-2-2-1-1-1-111111111000-221111-1-1-221111-1-122-1-111-1-1-1-111-1-1000000000000000000000
χ462222-1-2-2-1-1-1-2222221111-1-1222200-1-2-2-1-1-1-2-2-2-22222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000-221111-1-1-221111-1-1-2-211-1-11111-1-111000000000000000000000
χ472222-1-2-2-1-1-1-2222221111-1-1-2-2-2-200-1-2-2-1-1-1222i2i−2i−2i−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i000-221111-1-12-2-1-1-1-1112i−2i−i−iii−i−iii−i−iii000000000000000000000
χ482222-1-2-2-1-1-1-2222221111-1-1-2-2-2-200-1-2-2-1-1-122−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii000-221111-1-12-2-1-1-1-111−2i2iii−i−iii−i−iii−i−i000000000000000000000
χ4922-2-22002-2-2002-22-20000002i−2i2i−2i2i−2i2002-2-2000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192i−2i2i−2i−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+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000000000000000000000000002i−2i2-22ζ7+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+2ζ10900000000000
χ5022-2-22002-2-2002-22-20000002i−2i2i−2i2i−2i2002-2-20000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192i−2i2i−2i2ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000000000000000000000000000000002i−2i2-2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.