Finite Group Databasebeta

← Group #14415644

Character table — Group #14415644

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222244444444455558888888888888888888888101010101010101010101010101010101010101012121212202020202020202020202020202020202020202020202020203030303030303030484848486060606060606060
order122234444666121212122566101010121244441010152020202030303030303030606060606060606022226666888888881212121244444668888121224242424242424242424242424242424888888882020202022448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1ii−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1111-1-1-1-1i−ii−i
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-1-1-1-11111−ii−ii
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1−i−iii-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1111-1-1-1-1−ii−ii
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-1-1-1-11111i−ii−i
χ91111111-1-11111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111111-1-111-1-111111-11-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-1111111111-11-11-11-1-1-1-1-1
χ101111111-1-11111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1111111-1-111-1-11111-11-11-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111111
χ111111111-1-11111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-111-1-11111111-11-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-11111
χ121111111-1-11111111-11-1-1111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-111-1-1111111-11-11-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-1111111111111-11-11-11-11-1-1-1-1
χ131111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1-1-11-11-1111i−i−ii11iiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i1-11-1-11-11−ii−ii
χ141111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1-1-1-11-11111i−i−ii11iiii−i−i−i−i−i−i−i−iiiii−i−iii−i−iii-11-111-11-1i−ii−i
χ151111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1-1-11-11-1111−iii−i11−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iii1-11-1-11-11i−ii−i
χ161111111-1-11111111-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1-1-1-11-11111−iii−i11−i−i−i−iiiiiiiii−i−i−i−iii−i−iii−i−i-11-111-11-1−ii−ii
χ1711111-1-111111-1-1-1-1-11-1-1111111111-1-11-1-11111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111111111111111-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1
χ1811111-1-111111-1-1-1-1-11-1-1111111111-1-11-1-11111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111111111-1-111-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111
χ1911111-1-111111-1-1-1-1-11-1-1111111111-1-11-1-11111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111
χ2011111-1-111111-1-1-1-1-11-1-1111111111-1-11-1-11111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1111111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ2111111-1-111111-1-1-1-1-11-1-111111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1-1-1111111-1-11111iiii−i−i−i−i-1-1-1-111-1-11-1-1−i−iii11ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii11-1-111-1-1i−i−ii
χ2211111-1-111111-1-1-1-1-11-1-111111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1-1-1111111-1-11111iiii−i−i−i−i-1-1-1-1-1-1111-1-1−i−iii11ii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i-1-111-1-111−iii−i
χ2311111-1-111111-1-1-1-1-11-1-111111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1-1-1111111-1-11111−i−i−i−iiiii-1-1-1-111-1-11-1-1ii−i−i11−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i11-1-111-1-1−iii−i
χ2411111-1-111111-1-1-1-1-11-1-111111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1-1-1111111-1-11111−i−i−i−iiiii-1-1-1-1-1-1111-1-1ii−i−i11−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii-1-111-1-111i−i−ii
χ2511111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-111-1-1-11-111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-11-111-1-1-111
χ2611111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-11-1-1-11-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-111-11-1-1111-1-1
χ2711111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-1-11-11-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-11-111-111-1-1
χ2811111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-11-1-11-11-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-11-1-11-1-111
χ2911111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-1-1-1-11-1-11-111−iii−i-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii1-1-111-1-11−iii−i
χ3011111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-1-1-1-1-111-1-111−iii−i-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-111-1-111-1i−i−ii
χ3111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-1-1-1-11-1-11-111i−i−ii-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i1-1-111-1-11i−i−ii
χ3211111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-1-1-1-1-111-1-111i−i−ii-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii-111-1-111-1−iii−i
χ332222-12222-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-100002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ342222-12222-1-1-1-1-1-1-122-1-1222-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-100002-1-1-2-2-2-2-1-1111111111111111100000000000000000000
χ352222-12222-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112i2i2i2i−2i−2i−2i−2i11110000-2112i2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000
χ362222-12222-1-1-1-1-1-1-122-1-1222-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111−2i−2i−2i−2i2i2i2i2i11110000-211−2i−2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000
χ372222-122-2-2-1-1-1-1-1-1-1-2211222112222-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-2-1-1-1-122-2-222-2-2-1-1-1-10000-2112-22-211-1-1-1-11111-1-1-1-1111100000000000000000000
χ382222-122-2-2-1-1-1-1-1-1-1-2211222112222-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-2-1-1-1-1-2-222-2-222-1-1-1-10000-211-22-22111111-1-1-1-11111-1-1-1-100000000000000000000
χ392222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-22211112i2i−2i−2i−2i−2i2i2i111100002-1-12i−2i−2i2i-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ402222-122-2-2-1-1-1-1-1-1-1-221122211-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-11111-2-2221111−2i−2i2i2i2i2i−2i−2i111100002-1-1−2i2i2i−2i-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ412222-1-2-222-1-1-11111-2211222-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-222111122222222-1-1-1-10000-2-1-1-2-2-2-211-1-111-1-111-1-111-1-11100000000000000000000
χ422222-1-2-222-1-1-11111-2211222-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-2221111-2-2-2-2-2-2-2-2-1-1-1-10000-2-1-122221111-1-111-1-111-1-111-1-100000000000000000000
χ432222-1-2-222-1-1-11111-2211222-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2-1-1-1-12i2i2i2i−2i−2i−2i−2i11110000211−2i−2i2i2i-1-1−i−iii−i−iiiii−i−iii−i−i00000000000000000000
χ442222-1-2-222-1-1-11111-2211222-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122-2-2-1-1-1-1−2i−2i−2i−2i2i2i2i2i111100002112i2i−2i−2i-1-1ii−i−iii−i−i−i−iii−i−iii00000000000000000000
χ452222-1-2-2-2-2-1-1-1111122-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2111122-2-222-2-2-1-1-1-10000211-22-22-1-1-1-11111-1-1-1-11111-1-100000000000000000000
χ462222-1-2-2-2-2-1-1-1111122-1-122211222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-21111-2-222-2-222-1-1-1-100002112-22-2-1-111-1-1-1-11111-1-1-1-11100000000000000000000
χ472222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1111111112222-1-1-1-12i2i−2i−2i−2i−2i2i2i11110000-2-1-1−2i2i2i−2i11−i−iiiii−i−iii−i−i−i−iii00000000000000000000
χ482222-1-2-2-2-2-1-1-1111122-1-122211-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1111111112222-1-1-1-1−2i−2i2i2i2i2i−2i−2i11110000-2-1-12i−2i−2i2i11ii−i−i−i−iii−i−iiiii−i−i00000000000000000000
χ4922-2-222i−2i002-2-22i2i−2i−2i0200-22-2002i−2i2i−2i0022i−2i002-20000-22i2i−2i−2i00002-20022-2-2000000002i−2i2i−2i000000000000000000000000000002ζ7+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+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000
χ5022-2-222i−2i002-2-22i2i−2i−2i0200-22-2002i−2i2i−2i0022i−2i002-20000-22i2i−2i−2i00002-20022-2-2000000002i−2i2i−2i00000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+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+2ζ119000000000000
χ5122-2-222i−2i002-2-22i2i−2i−2i0200-22-200−2i2i−2i2i0022i−2i002-20000-22i2i−2i−2i0000-2200-2-22200000000−2i2i−2i2i00000000000000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000000
χ5222-2-222i−2i002-2-22i2i−2i−2i0200-22-200−2i2i−2i2i0022i−2i002-20000-22i2i−2i−2i0000-2200-2-22200000000−2i2i−2i2i000000000000000000000000000002ζ13+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+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+2ζ109000000000000
χ5322-2-22−2i2i002-2-2−2i−2i2i2i0200-22-2002i−2i2i−2i002−2i2i002-20000-2−2i−2i2i2i0000-2200-2-222000000002i−2i2i−2i000000000000000000000000000002ζ7+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+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+2ζ119000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.