Finite Group Databasebeta

← Group #14419308

Character table — Group #14419308

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444445555888888888888888888888810101010101010101010121212121515151515151515202020202020202020202020202030303030303030303030303040404040404040404848484860606060
order122234444446665101010121212121212444415202020202020303030606060606060606060606060224444121212122244888888886688888888121212128888888888882424242424242424101020204444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1iiii−i−i−i−i-1-1-1-1iiiiii−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−iiiii1111-1-1-1-1
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1−i−i−i−iiiii-1-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1iiii−i−i−i−i-1-1-1-1−i−i−i−i−i−iiiiiiiiiii−i−i−i−i-1-1-1-11111
χ91111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-111-1-11111-1-111-1-1
χ111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111
χ121111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-111
χ131111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−i11ii−i−i−i−iii-1-111ii−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111
χ141111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii11−i−iiiii−i−i-1-111−i−iiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111
χ151111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111iiii−i−i−i−i11−i−iiiii−i−i-1-111ii−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1
χ161111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111−i−i−i−iiiii11ii−i−i−i−iii-1-111−i−iiiiiii−i−i−i−iii−i−i−i−iii-1-11111-1-1
χ1711111-1-111-1-11111111-1-111-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111111-11-111111111111-11-11-11-1-1-1-1-1-1-111-1-1-1-111-1-11-11-11-11-11-11-11-11-1
χ1811111-1-111-1-11111111-1-111-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1-1-1-111-11-11-11-11-1-1-1-111-1-11111-1-111-11-11-11-111-11-11-11-1
χ1911111-1-111-1-11111111-1-111-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-11-111111111111-11-11-11-11-1-1-1-1-1-111-1-1-1-111-1-1-11-11-11-11-11-11-11-11
χ2011111-1-111-1-11111111-1-111-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-11-11-1-1-1-1-1-1-1-1111-11-11-11-1-1-1-1-111-1-11111-1-1111-11-11-11-1-11-11-11-11
χ2111111-1-111-1-11111111-1-111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-1iiii−i−i−i−i-1-1i−ii−i−ii−ii1111−i−iii−i−iii−i−iiii−ii−i−ii−ii1-11-1-11-11
χ2211111-1-111-1-11111111-1-111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-1−i−i−i−iiiii-1-1−ii−iii−ii−i1111ii−i−iii−i−iii−i−i−ii−iii−ii−i1-11-1-11-11
χ2311111-1-111-1-11111111-1-111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-11iiii−i−i−i−i-1-1−ii−iii−ii−i1111−i−iii−i−iii−i−iii−ii−iii−ii−i-11-111-11-1
χ2411111-1-111-1-11111111-1-111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-11−i−i−i−iiiii-1-1i−ii−i−ii−ii1111ii−i−iii−i−iii−i−ii−ii−i−ii−ii-11-111-11-1
χ2511111-1-1-1-1111111111-1-1-1-11111111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111111-1-1111111111-1-11-1-111-1-11-1-111-1-1-1-111-1-1-1-1111-1-111-1-111-1-111-1-11
χ2611111-1-1-1-1111111111-1-1-1-11111111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-11111-1-1-111-1-111-11-1-111-1-11
χ2711111-1-1-1-1111111111-1-1-1-11111111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-11111-111-111111111-1-1-111-1-111-1-1-111-1-1-1-111-1-1-1-111-111-1-111-1-111-1-111-1
χ2811111-1-1-1-1111111111-1-1-1-11111111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-111-1-11111-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1111111-1-11111-1-11-1-111-1-11-111-1-111-1
χ2911111-1-1-1-1111111111-1-1-1-111-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11iiii−i−i−i−i11i−i−ii−iii−i11-1-1−i−i−i−iiiiiii−i−ii−i−ii−iii−i1-1-11-111-1
χ3011111-1-1-1-1111111111-1-1-1-111-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11−i−i−i−iiiii11−iii−ii−i−ii11-1-1iiii−i−i−i−i−i−iii−iii−ii−i−ii1-1-11-111-1
χ3111111-1-1-1-1111111111-1-1-1-111-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1iiii−i−i−i−i11−iii−ii−i−ii11-1-1−i−i−i−iiiiiii−i−i−iii−ii−i−ii-111-11-1-11
χ3211111-1-1-1-1111111111-1-1-1-111-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1−i−i−i−iiiii11i−i−ii−iii−i11-1-1iiii−i−i−i−i−i−iiii−i−ii−iii−i-111-11-1-11
χ332222-1222222-1-1-12222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000000000-1-122222222-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000
χ342222-1222222-1-1-12222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000000000-1-1-2-2-2-2-2-2-2-2-1-1-1-10000000000001111111100000000
χ352222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000000000112i2i2i2i−2i−2i−2i−2i1111000000000000−i−i−i−iiiii00000000
χ362222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000000011−2i−2i−2i−2i2i2i2i2i1111000000000000iiii−i−i−i−i00000000
χ372222-122-2-2-2-2-1-1-12222-1-111112222-1-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-10000000000001122-2-222-2-2-1-111000000000000-1-111-1-11100000000
χ382222-122-2-2-2-2-1-1-12222-1-111112222-1-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-100000000000011-2-222-2-222-1-11100000000000011-1-111-1-100000000
χ392222-122-2-2-2-2-1-1-12222-1-11111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-1111111112222-2-21111000000000000-1-12i2i−2i−2i−2i−2i2i2i11-1-1000000000000−i−iiiii−i−i00000000
χ402222-122-2-2-2-2-1-1-12222-1-11111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-1111111112222-2-21111000000000000-1-1−2i−2i2i2i2i2i−2i−2i11-1-1000000000000ii−i−i−i−iii00000000
χ412222-1-2-222-2-2-1-1-1222211-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-2-1-1-1-1000000000000-1-12-22-22-22-21111000000000000-11-11-11-1100000000
χ422222-1-2-222-2-2-1-1-1222211-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-2-1-1-1-1000000000000-1-1-22-22-22-2211110000000000001-11-11-11-100000000
χ432222-1-2-222-2-2-1-1-1222211-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111-2-222221111000000000000112i−2i2i−2i−2i2i−2i2i-1-1-1-1000000000000−ii−iii−ii−i00000000
χ442222-1-2-222-2-2-1-1-1222211-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111-2-22222111100000000000011−2i2i−2i2i2i−2i2i−2i-1-1-1-1000000000000i−ii−i−ii−ii00000000
χ452222-1-2-2-2-222-1-1-122221111-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222-2-2-1-1-1-1000000000000112-2-222-2-2211-1-1000000000000-111-1-111-100000000
χ462222-1-2-2-2-222-1-1-122221111-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222-2-2-1-1-1-100000000000011-222-2-222-211-1-10000000000001-1-111-1-1100000000
χ472222-1-2-2-2-222-1-1-122221111-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2221111000000000000-1-12i−2i−2i2i−2i2i2i−2i-1-111000000000000−iii−ii−i−ii00000000
χ482222-1-2-2-2-222-1-1-122221111-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2221111000000000000-1-1−2i2i2i−2i2i−2i−2i2i-1-111000000000000i−i−ii−iii−i00000000
χ4922-2-222-200002-2-22-2-222-200002i2i−2i−2i200002-22-2-222-2-20000000000002i−2i2i2i−2i−2i00002ζ7+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+2ζ10900000000002i−2i002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900000000000000000000
χ5022-2-222-200002-2-22-2-222-200002i2i−2i−2i200002-22-2-222-2-20000000000002i−2i2i2i−2i−2i0000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+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+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000002i−2i00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000000000000000
χ5122-2-222-200002-2-22-2-222-20000−2i−2i2i2i200002-22-2-222-2-2000000000000−2i2i−2i−2i2i2i0000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+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+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000−2i2i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000000000000000000
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χ924-4-44-200−4i4i0022-24-44-4002i−2i00−4i4i4i−4i-2−4i4i000022-200002i2i−2i−2i00004-400002i−2i−2i2i000000000000-220000000000000000000000000000000000000000
χ938888-4888888-4-4-4-2-2-2-2-4-4-4-4-4-400001-2-2-2-2-2-21111111111111110000000000000000000000000000000000000000000000000000000000000000
χ948888-488-8-8-8-8-4-4-4-2-2-2-2-4-44444000012222-2-21111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ958888-4-8-888-8-8-4-4-4-2-2-2-244-4-44400001-2-22222111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ968888-4-8-8-8-888-4-4-4-2-2-2-24444-4-40000122-2-222111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000
χ9788-8-888-800008-8-8-222-28-800000000-20000-22-222-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-88-8800008-8-8-222-2-8800000000-200002-2-22222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-48-80000-444-222-2-440000000010000-221-1-111-1-1−1515−1515−1515−15150000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-80000-444-222-2-440000000010000-221-1-111-1-115−1515−1515−1515−150000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-880000-444-222-24-400000000100002-21-1-1-1-111−1515−151515−1515−150000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-880000-444-222-24-400000000100002-21-1-1-1-11115−1515−15−1515−15150000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8800008i−8i-88-8-2-22200008i−8i0000-200−2i2i002-2200000000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1048-88-880000−8i8i-88-8-2-2220000−8i8i0000-2002i−2i002-22000000002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-400008i−8i4-44-2-2220000−4i4i0000100−2i2i00-11-1−1515−1515−i15i15i15−i15ii−i−i0000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-400008i−8i4-44-2-2220000−4i4i0000100−2i2i00-11-115−1515−15i15−i15−i15i15ii−i−i0000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-40000−8i8i4-44-2-22200004i−4i00001002i−2i00-11-1−1515−1515i15−i15−i15i15−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-40000−8i8i4-44-2-22200004i−4i00001002i−2i00-11-115−1515−15−i15i15i15−i15−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1098-8-888008i−8i00-8-88-22-22008i−8i000000-2−2i2i000022-20000−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88800−8i8i00-8-88-22-2200−8i8i000000-22i−2i000022-200002i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4008i−8i0044-4-22-2200−4i4i0000001−2i2i0000-1-11−151515−15ii−i−ii15−i15−i15i150000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4008i−8i0044-4-22-2200−4i4i0000001−2i2i0000-1-1115−15−1515ii−i−i−i15i15i15−i150000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-400−8i8i0044-4-22-22004i−4i00000012i−2i0000-1-11−151515−15−i−iii−i15i15i15−i150000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-400−8i8i0044-4-22-22004i−4i00000012i−2i0000-1-1115−15−1515−i−iiii15−i15−i15i150000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.