Finite Group Databasebeta

← Group #14415461

Character table — Group #14415461

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222244444444444444444444444555588888888888888888888881010101010101010161616161616161616161616202020202020202020202030303030303030303030303030303030404040406060606060606060
order122222223666224445666666101010151530303030303044446101010101010121212303030303030303030303030444412121212102020203030606060606060244441212121212128888888888888888612121288888888
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
χ311111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1-1-1i−iiii−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−iii−i−i−i−i−i−iiiiiii-1-1-1-1−ii−i−i−iiii
χ51111111111111-1-1-1-11111111111111111111111-1111111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1
χ61111111111111-1-1-1-11111111111111111111111-1111111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-111-111
χ71111111111111-1-1-1-1111111111111111111-1-1-1-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii1111i−ii−i−i−iii
χ81111111111111-1-1-1-1111111111111111111-1-1-1-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i1111−ii−iiii−i−i
χ9111111-1-11111-111-1-1111-1-1-1-1111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-11-1-1111-1-1-1-111111111-1-11111-1-1-11-11-1-1-11-1-11-1
χ10111111-1-11111-111-1-1111-1-1-1-1111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-11111-111-11
χ11111111-1-11111-111-1-1111-1-1-1-111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-11111ii−i−iiiii−i−i−i−i−i−iii1-11-1−ii−ii−ii−ii
χ12111111-1-11111-111-1-1111-1-1-1-111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-11111−i−iii−i−i−i−iiiiiii−i−i1-11-1i−ii−ii−ii−i
χ13111111-1-11111-1-1-111111-1-1-1-1111111111111111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111-11-1-111-1-1-1-1111111-1-11111-1-1111-11-1-1-1-1-11-1-11
χ14111111-1-11111-1-1-111111-1-1-1-1111111111111111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-11-11111-111-1
χ15111111-1-11111-1-1-111111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-111-1-11111ii−i−iii−i−iii−i−iii−i−i-11-11−ii−i−iiii−i
χ16111111-1-11111-1-1-111111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-111-1-11111−i−iii−i−iii−i−iii−i−iii-11-11i−iii−i−i−ii
χ171111-1-1111111-11-1-111-1-111-1-11111111111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111111-11-111-1-111-1-11-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-111
χ181111-1-1111111-11-1-111-1-111-1-11111111111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111111-11-111-1-111-1-11-1-1-11-1-111-1-1-1-1-1-11111111111111-1-11-1-11-1-11-1-1
χ191111-1-1111111-11-1-111-1-111-1-111111111111-1-1-1-11-1-111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-1-1111-111-1-111ii−i−i−i−i−i−i−i−iiiiiii-111-1i−i−iiii−i−i
χ201111-1-1111111-11-1-111-1-111-1-111111111111-1-1-1-11-1-111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-1-1111-111-1-111−i−iiiiiiiii−i−i−i−i−i−i-111-1−iii−i−i−iii
χ211111-1-1111111-1-111-11-1-111-1-1111111111111111-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1111111-11-11-1-111-1-111-111-1-1-1-111-1-11111-1-11111-1-11111-111-111-1-1-1-1-1-1
χ221111-1-1111111-1-111-11-1-111-1-1111111111111111-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1111111-11-11-1-111-1-111-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1111111
χ231111-1-1111111-1-111-11-1-111-1-111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-1111-1-11111-1-111ii−i−i−i−iiiiiii−i−i−i−i1-1-11i−i−i−i−iiii
χ241111-1-1111111-1-111-11-1-111-1-111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-1111-1-11111-1-111−i−iiiii−i−i−i−i−i−iiiii1-1-11−iiiii−i−i−i
χ251111-1-1-1-1111111-11-11-1-1-1-1111111111111111111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-111-1
χ261111-1-1-1-1111111-11-11-1-1-1-1111111111111111111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-11
χ271111-1-1-1-1111111-11-11-1-1-1-11111111111111-1-1-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-11111-1-1ii−i−i−i−i−i−iiiiiii−i−i11-1-1−iiii−i−i−ii
χ281111-1-1-1-1111111-11-11-1-1-1-11111111111111-1-1-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-11111-1-1−i−iiiiiii−i−i−i−i−i−iii11-1-1i−i−i−iiii−i
χ291111-1-1-1-111111-11-111-1-1-1-111111111111111111-1-1-1-1-1111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111-11-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-11-111-11
χ301111-1-1-1-111111-11-111-1-1-1-111111111111111111-1-1-1-1-1111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111-11-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-11-1-11-1
χ311111-1-1-1-111111-11-111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-11-111111-1-1ii−i−i−i−iii−i−iii−i−iii-1-111−iii−ii−ii−i
χ321111-1-1-1-111111-11-111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-11-111111-1-1−i−iiiii−i−iii−i−iii−i−i-1-111i−i−ii−ii−ii
χ3322222222-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ3422222222-1-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2-21111110000000000000000111100000000
χ3522222222-1-1-1-12-2-2-2-22-1-1-1-1-1-1222-1-1-1-1-1-1-1-122221222222111-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-2-2-22-2-1-1-1-1-1-10000000000000000111100000000
χ3622222222-1-1-1-12-2-2-2-22-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-21222222111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111222-221111110000000000000000-1-1-1-100000000
χ37222222-2-2-1-1-1-1-222-2-22-1-11111222-1-1-1-1-1-1-1-12222-122-2-2-2-2-111-1-1-1-11111111122-2-2-1-1-1-122-2-2-1-1-1-11111-22-2-22-1-1111100000000000000001-11-100000000
χ38222222-2-2-1-1-1-1-222-2-22-1-11111222-1-1-1-1-1-1-1-1-2-2-2-2-122-2-2-2-2-111-1-1-1-111111111-2-222111122-2-2-1-1-1-111112-222-211-1-1-1-10000000000000000-11-1100000000
χ39222222-2-2-1-1-1-1-2-2-2222-1-11111222-1-1-1-1-1-1-1-12222122-2-2-2-21-1-1-1-1-1-11111111122-2-2-1-1-1-1-2-2221111-1-1-1-12-22-2-2-1-111110000000000000000-11-1100000000
χ40222222-2-2-1-1-1-1-2-2-2222-1-11111222-1-1-1-1-1-1-1-1-2-2-2-2122-2-2-2-21-1-1-1-1-1-111111111-2-2221111-2-2221111-1-1-1-1-22-22211-1-1-1-100000000000000001-11-100000000
χ412222-2-222-1-1-1-1-22-2-22211-1-111222-1-1-1-1-1-1-1-12222-1-2-222-2-211-11111-1-1-1-11111-2-222-1-1-1-12-22-2-1-111-1-1112-2-2-2211-1-1110000000000000000-111-100000000
χ422222-2-222-1-1-1-1-22-2-22211-1-111222-1-1-1-1-1-1-1-1-2-2-2-2-1-2-222-2-211-11111-1-1-1-1111122-2-211112-22-2-1-111-1-111-2222-2-1-111-1-100000000000000001-1-1100000000
χ432222-2-222-1-1-1-1-2-222-2211-1-111222-1-1-1-1-1-1-1-122221-2-222-2-2-1-111111-1-1-1-11111-2-222-1-1-1-1-22-2211-1-111-1-1-222-2-211-1-11100000000000000001-1-1100000000
χ442222-2-222-1-1-1-1-2-222-2211-1-111222-1-1-1-1-1-1-1-1-2-2-2-21-2-222-2-2-1-111111-1-1-1-1111122-2-21111-22-2211-1-111-1-12-2-222-1-111-1-10000000000000000-111-100000000
χ452222-2-2-2-2-1-1-1-122-22-221111-1-1222-1-1-1-1-1-1-1-12222-1-2-2-2-2221-1111111111-1-1-1-1-2-2-2-2-1-1-1-12-2-22-1-11111-1-1-2-22221111-1-1000000000000000011-1-100000000
χ462222-2-2-2-2-1-1-1-122-22-221111-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-2-2221-1111111111-1-1-1-1222211112-2-22-1-11111-1-122-2-2-2-1-1-1-1110000000000000000-1-11100000000
χ472222-2-2-2-2-1-1-1-12-22-2221111-1-1222-1-1-1-1-1-1-1-122221-2-2-2-222-11-111111111-1-1-1-1-2-2-2-2-1-1-1-1-222-211-1-1-1-11122-22-21111-1-10000000000000000-1-11100000000
χ482222-2-2-2-2-1-1-1-12-22-2221111-1-1222-1-1-1-1-1-1-1-1-2-2-2-21-2-2-2-222-11-111111111-1-1-1-122221111-222-211-1-1-1-111-2-22-22-1-1-1-111000000000000000011-1-100000000
χ4922-2-22-20022-2-20000022-200002-2-22222-2-2-2-22i−2i2i−2i02-2000000022-2-2000000002i−2i002i2i−2i−2i000000000000000002i−2i00002ζ7+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+2ζ1092ζ7+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+2ζ1090000000000000000
χ5022-2-22-20022-2-20000022-200002-2-22222-2-2-2-22i−2i2i−2i02-2000000022-2-2000000002i−2i002i2i−2i−2i000000000000000002i−2i0000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000
χ5122-2-22-20022-2-20000022-200002-2-22222-2-2-2-2−2i2i−2i2i02-2000000022-2-200000000−2i2i00−2i−2i2i2i00000000000000000−2i2i0000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000000000
χ5222-2-22-20022-2-20000022-200002-2-22222-2-2-2-2−2i2i−2i2i02-2000000022-2-200000000−2i2i00−2i−2i2i2i00000000000000000−2i2i00002ζ13+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+2ζ1192ζ13+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+2ζ1190000000000000000
χ5322-2-2-220022-2-2000002-2200002-2-22222-2-2-2-22i−2i2i−2i0-220000000-2-22200000000−2i2i002i2i−2i−2i00000000000000000−2i2i00002ζ7+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+2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000
χ5422-2-2-220022-2-2000002-2200002-2-22222-2-2-2-22i−2i2i−2i0-220000000-2-22200000000−2i2i002i2i−2i−2i00000000000000000−2i2i0000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ7+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+2ζ1090000000000000000
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χ1208-8-8800-88-444-400000-2004-4002-221+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i1500000002-2000000000−1−i15−1+i151+i151−i15000000000000000000000000000000000000000000000000000000000000000

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