Finite Group Databasebeta

← Group #14419596

Character table — Group #14419596

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222244444444444444444444444555588888888888888888888881010101010101010161616161616161616161616202020202020202020202030303030303030303030303030303030404040406060606060606060
order1222223446662444456610101012121212151530303030303044446101012121220202020303030306060606060606060444412121212102020203030606060606060244441212121212128888888888888888612121288888888
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
χ311111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−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−i−i−i−i−iiiiiiiii-1-1-1-1−i−i−i−iiiii
χ5111111111111-11-1-1-11111111111111111111111-111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111-11-1-1-11111111111111111111111-111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111-11-1-1-1111111111111111111-1-1-1-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111ii−i−i−i−iii
χ8111111111111-11-1-1-1111111111111111111-1-1-1-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111−i−iiiii−i−i
χ91111111-1-11111-11-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111-1-11-1-1-11-1
χ101111111-1-11111-11-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1111-11
χ111111111-1-11111-11-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-111111-1-1-1-11111iiiiii−i−i−i−i−i−i−i−iii11-1-1−i−ii−iii−ii
χ121111111-1-11111-11-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-111111-1-1-1-11111−i−i−i−i−i−iiiiiiiii−i−i11-1-1ii−ii−i−ii−i
χ131111111-1-1111-1-1-111111111-1-1-1-1111111111111-111-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-111-1-1-11111-1-111-1-1-111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-11-1-1-11
χ141111111-1-1111-1-1-111111111-1-1-1-1111111111111-111-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-111-1-1-11111-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1111-1111-1
χ151111111-1-1111-1-1-111111111-1-1-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-1111-1-11111iiii−i−iii−i−i−i−iii−i−i-1-111−i−i−iiiii−i
χ161111111-1-1111-1-1-111111111-1-1-1-111111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-1111-1-11111−i−i−i−iii−i−iiiii−i−iii-1-111iii−i−i−i−ii
χ171111-1-11111111-1-11-11-1-111111-1-11111111111111-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1-11-11-1-1-111-1-111-1-1111111-1-11111-111-11-1-1-11-1-1-1
χ181111-1-11111111-1-11-11-1-111111-1-11111111111111-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1-11-11-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1111-1111
χ191111-1-11111111-1-11-11-1-111111-1-111111111-1-1-1-11-1-1-11-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-11-1111-1-111ii−i−iiiii−i−iii−i−i−i−i1-1-11i−i−i−i−iiii
χ201111-1-11111111-1-11-11-1-111111-1-111111111-1-1-1-11-1-1-11-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11-11-1111-1-111−i−iii−i−i−i−iii−i−iiiii1-1-11−iiiii−i−i−i
χ211111-1-1111111-1-11-111-1-111111-1-1111111111111-1-1-11-1111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1111-111
χ221111-1-1111111-1-11-111-1-111111-1-1111111111111-1-1-11-1111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-1-11-1-111-1-1-1-1111111-1-11111111-1-11-11-1-1-11-1-1
χ231111-1-1111111-1-11-111-1-111111-1-111111111-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1111-111-1-111ii−i−i−i−i−i−i−i−iiiiiii-111-1i−iii−ii−i−i
χ241111-1-1111111-1-11-111-1-111111-1-111111111-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1111-111-1-111−i−iiiiiiiii−i−i−i−i−i−i-111-1−ii−i−ii−iii
χ251111-1-11-1-111111-1-111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-11-111-1-1-1-1-11111-1-111-1-111-1-111-1-11-11-1-11-11-11-11
χ261111-1-11-1-111111-1-111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-11-111-1-1-1-1-111-1-111-1-111-1-111-1-1111-11-11-11-11-11-1
χ271111-1-11-1-111111-1-111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1-11-1-111111-1-1ii−i−iii−i−i−i−iii−i−iii-11-11−ii−iii−ii−i
χ281111-1-11-1-111111-1-111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1-11-1-111111-1-1−i−iii−i−iiiii−i−iii−i−i-11-11i−ii−i−ii−ii
χ291111-1-11-1-1111-1111-11-1-1111-1-111111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-111-11-1-1-1-11111-1-1-1-11111-1-1-1-111-11-11-111-1-111-1
χ301111-1-11-1-1111-1111-11-1-1111-1-111111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-111-11-1-1-1-111-1-11111-1-1-1-11111-1-1-11-111-1-111-1-11
χ311111-1-11-1-1111-1111-11-1-1111-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1111-1-11-11111-1-1ii−i−i−i−iii−i−iiiii−i−i1-11-1−iii−ii−i−ii
χ321111-1-11-1-1111-1111-11-1-1111-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1111-1-11-11111-1-1−i−iiiii−i−iii−i−i−i−iii1-11-1i−i−ii−iii−i
χ33222222-122-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ34222222-122-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2-21111110000000000000000111100000000
χ35222222-122-1-1-1-22-2-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-122221221112222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-2-22-2-2-1-1-1-1-1-10000000000000000111100000000
χ36222222-122-1-1-1-22-2-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21221112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111122-2221111110000000000000000-1-1-1-100000000
χ37222222-1-2-2-1-1-12-22-2-22-1-12221111-1-1-1-1-1-1-1-12222-122-111-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-12-2-22-1-11111-1-1-2-2-222-1-11111000000000000000011-1-100000000
χ38222222-1-2-2-1-1-12-22-2-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-2-122-111-2-2-2-2-1-1-1-111111111-2-22211112-2-22-1-11111-1-1222-2-211-1-1-1-10000000000000000-1-11100000000
χ39222222-1-2-2-1-1-1-2-2-2222-1-12221111-1-1-1-1-1-1-1-122221221-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1-222-211-1-1-1-11122-2-2-2-1-111110000000000000000-1-11100000000
χ40222222-1-2-2-1-1-1-2-2-2222-1-12221111-1-1-1-1-1-1-1-1-2-2-2-21221-1-1-2-2-2-2-1-1-1-111111111-2-2221111-222-211-1-1-1-111-2-222211-1-1-1-1000000000000000011-1-100000000
χ412222-2-2-122-1-1-12-2-22-2211222-1-111-1-1-1-1-1-1-1-12222-1-2-21-1122-2-21111-1-1-1-11111-2-222-1-1-1-122-2-2-1-1-1-11111-22-22-211-1-11100000000000000001-1-1100000000
χ422222-2-2-122-1-1-12-2-22-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-1-2-21-1122-2-21111-1-1-1-1111122-2-2111122-2-2-1-1-1-111112-22-22-1-111-1-10000000000000000-111-100000000
χ432222-2-2-122-1-1-1-2-22-22211222-1-111-1-1-1-1-1-1-1-122221-2-2-11-122-2-21111-1-1-1-11111-2-222-1-1-1-1-2-2221111-1-1-1-12-2-2-2211-1-1110000000000000000-111-100000000
χ442222-2-2-122-1-1-1-2-22-22211222-1-111-1-1-1-1-1-1-1-1-2-2-2-21-2-2-11-122-2-21111-1-1-1-1111122-2-21111-2-2221111-1-1-1-1-2222-2-1-111-1-100000000000000001-1-1100000000
χ452222-2-2-1-2-2-1-1-122-2-2221122211-1-1-1-1-1-1-1-1-1-12222-1-2-211-1-2-22211111111-1-1-1-1-2-2-2-2-1-1-1-12-22-2-1-111-1-1112-222-21111-1-10000000000000000-11-1100000000
χ462222-2-2-1-2-2-1-1-122-2-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-211-1-2-22211111111-1-1-1-1222211112-22-2-1-111-1-111-22-2-22-1-1-1-11100000000000000001-11-100000000
χ472222-2-2-1-2-2-1-1-1-2222-221122211-1-1-1-1-1-1-1-1-1-122221-2-2-1-11-2-22211111111-1-1-1-1-2-2-2-2-1-1-1-1-22-2211-1-111-1-1-222-221111-1-100000000000000001-11-100000000
χ482222-2-2-1-2-2-1-1-1-2222-221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-1-11-2-22211111111-1-1-1-122221111-22-2211-1-111-1-12-2-22-2-1-1-1-1110000000000000000-11-1100000000
χ4922-2-22-22002-2-20000022-2-2-22000022-2-2-2-2222i2i−2i−2i02-2000000022-2-2000000002i−2i002i2i−2i−2i000000000000000002i−2i00002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000000000000000
χ5022-2-22-22002-2-20000022-2-2-22000022-2-2-2-2222i2i−2i−2i02-2000000022-2-2000000002i−2i002i2i−2i−2i000000000000000002i−2i0000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+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+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000
χ5122-2-22-22002-2-20000022-2-2-22000022-2-2-2-222−2i−2i2i2i02-2000000022-2-200000000−2i2i00−2i−2i2i2i00000000000000000−2i2i0000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+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+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000000000
χ5222-2-22-22002-2-20000022-2-2-22000022-2-2-2-222−2i−2i2i2i02-2000000022-2-200000000−2i2i00−2i−2i2i2i00000000000000000−2i2i00002ζ13+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+2ζ1190000000000000000
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χ1198-8-8800-40044-400000-2002-2200−43431−i151+i15−1+i15−1−i151−i151+i15−1+i15−1−i15000000000000−2i52i500000000−2ζ14+2ζ22−2ζ86+2ζ1182ζ14−2ζ22+2ζ86−2ζ118−2ζ38+2ζ46−2ζ62+2ζ942ζ38−2ζ46+2ζ62−2ζ9400000000000000000000000000000000000000000000000000000000000
χ1208-8-8800-40044-400000-2002-2200−43431+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i150000000000002i5−2i500000000−2ζ38+2ζ46−2ζ62+2ζ942ζ38−2ζ46+2ζ62−2ζ94−2ζ14+2ζ22−2ζ86+2ζ1182ζ14−2ζ22+2ζ86−2ζ11800000000000000000000000000000000000000000000000000000000000

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