Finite Group Databasebeta

← Group #14419104

Character table — Group #14419104

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111112222222222224444444444445555555588888888888888888888101010101010101010101010121212122020202020202020202020202020202020202020202020202020202024242424242424243030303030303030303030303030303060606060
order122244442234466612121212566101010121220202020444444441010152020303030303030306060606060606060444412121212121212122444888888881212121224242424242424242424242424242424101020202020202088888888888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111
χ911111111-1-11-1-111111111-1-1111-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ1011111111-1-11-1-111111111-1-1111-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ1111111111-1-11-1-111111111-1-1111-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1211111111-1-11-1-111111111-1-1111-1-1111111111111-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1311111111-1-11-1-111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1
χ1411111111-1-11-1-111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ1511111111-1-11-1-111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ1611111111-1-11-1-111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111
χ171111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1i−ii−ii−ii−i11-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ181111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1−ii−ii−ii−ii11-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ191111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11i−ii−ii−ii−i11-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111−i−iii−i−iii−i−iii−i−iii-11-11
χ201111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11−ii−ii−ii−ii11-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i-11-11
χ211111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-11-11-1-11-11-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111-11-11
χ221111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-11-111-11-1-1-111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ231111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-111-11-1-11-11-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-11-11-1
χ241111-1-1-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-11-111-11-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111-11-1
χ251111-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1111111-1-1-1-11-1-11i−i−iii−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ261111-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1111111-1-1-1-11-1-11−iii−i−iii−i-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1
χ271111-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1111111-1-1-1-1-111-1i−i−iii−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ281111-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1111111-1-1-1-1-111-1−iii−i−iii−i-1-111−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ291111-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-111-1-11-111-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-11111-1-11-1-11
χ301111-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111111-1-11-111-11-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ311111-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111-111-11-1-11-111-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-111-1
χ321111-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111-111-1-111-11-1-1111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-111-1
χ332222222222-122-1-1-1-1-1-1-12-1-1222-1-122222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ342222222222-122-1-1-1-1-1-1-12-1-1222-1-122222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000000000000000
χ352222222222-122-1-1-1-1-1-1-12-1-1222-1-12222-2-2-2-2-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100002i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000
χ362222222222-122-1-1-1-1-1-1-12-1-1222-1-12222-2-2-2-2-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000
χ3722222222-2-2-1-2-2-1-1-1-1-1-1-121122211222222222222-2-2-1-2-2-1-11111-1-1-1-1-11111-2-2-2-2-1-1-1-1-1-1-1-1000022-2-222-2-21111-1-1-1-11111-1-1-1-111110000000000000000000000000000
χ3822222222-2-2-1-2-2-1-1-1-1-1-1-121122211222222222222-2-2-1-2-2-1-11111-1-1-1-1-11111-2-2-2-2-1-1-1-1-1-1-1-10000-2-222-2-22211111111-1-1-1-11111-1-1-1-10000000000000000000000000000
χ3922222222-2-2-1-2-2-1-1-1-1-1-1-1211222112222-2-2-2-2-2-2-2-2-2-2-1-2-2-1-11111-1-1-1-1-1111122221111111100002i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000
χ4022222222-2-2-1-2-2-1-1-1-1-1-1-1211222112222-2-2-2-2-2-2-2-2-2-2-1-2-2-1-11111-1-1-1-1-111112222111111110000−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000
χ412222-2-2-2-222-1-2-2-1-1-111112-1-122211-2-2-2-22222-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-1111100002i−2i2i−2i2i−2i2i−2i-1-111−i−iii−i−iii−i−iii−i−iii0000000000000000000000000000
χ422222-2-2-2-222-1-2-2-1-1-111112-1-122211-2-2-2-22222-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-111110000−2i2i−2i2i−2i2i−2i2i-1-111ii−i−iii−i−iii−i−iii−i−i0000000000000000000000000000
χ432222-2-2-2-222-1-2-2-1-1-111112-1-122211-2-2-2-2-2-2-2-2222222-1-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-100002-22-2-22-2211-1-1-1-111-1-11111-1-111-1-10000000000000000000000000000
χ442222-2-2-2-222-1-2-2-1-1-111112-1-122211-2-2-2-2-2-2-2-2222222-1-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-10000-22-222-22-211-1-111-1-111-1-1-1-111-1-1110000000000000000000000000000
χ452222-2-2-2-2-2-2-122-1-1-11111211222-1-1-2-2-2-22222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1-2-222-1-1-1-1111100002i−2i−2i2i2i−2i−2i2i11-1-1−i−iiiii−i−i−i−iiiii−i−i0000000000000000000000000000
χ462222-2-2-2-2-2-2-122-1-1-11111211222-1-1-2-2-2-22222-2-2-2-2-2-2-122-1-11111-11111-1-1-1-1-2-222-1-1-1-111110000−2i2i2i−2i−2i2i2i−2i11-1-1ii−i−i−i−iiiii−i−i−i−iii0000000000000000000000000000
χ472222-2-2-2-2-2-2-122-1-1-11111211222-1-1-2-2-2-2-2-2-2-22222-2-2-122-1-11111-11111-1-1-1-122-2-21111-1-1-1-100002-2-22-222-2-1-111-1-11111-1-111-1-1-1-1110000000000000000000000000000
χ482222-2-2-2-2-2-2-122-1-1-11111211222-1-1-2-2-2-2-2-2-2-22222-2-2-122-1-11111-11111-1-1-1-122-2-21111-1-1-1-10000-222-22-2-22-1-11111-1-1-1-111-1-11111-1-10000000000000000000000000000
χ4922-2-222-2-2002002-2-222-2-2200-2-220022-2-22i2i−2i−2i2i2i−2i−2i00200-2-20000222-2-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000
χ5022-2-222-2-2002002-2-222-2-2200-2-220022-2-22i2i−2i−2i2i2i−2i−2i00200-2-20000222-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000
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χ5222-2-222-2-2002002-2-222-2-2200-2-220022-2-2−2i−2i2i2i−2i−2i2i2i00200-2-20000222-2-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.