Finite Group Databasebeta

← Group #14512979

Character table — Group #14512979

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size111122222222223333444455556666666666888888881010121212121212121212121212151515151616161616161616161616161616161624242424242424242424242424242424303040404040404040406060606060606060
order1244245510102020202022441010202088882410101010202020203666121212128822444444101020208888151530303030303060606060606060601010101020202020202020202020202088242424242424242488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111111111-1-1111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-1111111111111-1-1-1-11111-1-1111111111-1-11-1-111-1-11-11-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111-1-1111111111111-1-1-1-11111-1-1111111111-1-11-1-111-1-1-11-11-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ71111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111111-11-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111
χ81111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-11-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1111111-1-111-1-1
χ911-1-11-11111-1-1-1-111-1-111-1-1ii−i−i1-11111-1-1-1-11111-1-1-1-1i−i1-1-111-11-111-1-1ii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1i−iii−i−iii−i−ii−ii−ii−ii−i
χ1011-1-11-11111-1-1-1-111-1-111-1-1ii−i−i1-11111-1-1-1-11111-1-1-1-1i−i-111-1-11-1111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111i−iii−i−iii−i−i−ii−ii−ii−ii
χ1111-1-11-11111-1-1-1-111-1-111-1-1−i−iii1-11111-1-1-1-11111-1-1-1-1−ii1-1-111-11-111-1-1−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1−ii−i−iii−i−iii−ii−ii−ii−ii
χ1211-1-11-11111-1-1-1-111-1-111-1-1−i−iii1-11111-1-1-1-11111-1-1-1-1−ii-111-1-11-1111-1-1−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−ii−i−iii−i−iiii−ii−ii−ii−i
χ1311-1-1-111111-1-1-1-111-1-1-1-111ii−i−i-111111-1-1-1-11-1-1111-1-1−ii11-1-11-1-11-1-111ii−i−i11-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111−iiii−i−i−i−iiii−i−iii−i−ii
χ1411-1-1-111111-1-1-1-111-1-1-1-111ii−i−i-111111-1-1-1-11-1-1111-1-1−ii-1-111-111-1-1-111ii−i−i11-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1−iiii−i−i−i−iii−iii−i−iii−i
χ1511-1-1-111111-1-1-1-111-1-1-1-111−i−iii-111111-1-1-1-11-1-1111-1-1i−i11-1-11-1-11-1-111−i−iii11-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111i−i−i−iiiii−i−i−iii−i−iii−i
χ1611-1-1-111111-1-1-1-111-1-1-1-111−i−iii-111111-1-1-1-11-1-1111-1-1i−i-1-111-111-1-1-111−i−iii11-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1i−i−i−iiiii−i−ii−i−iii−i−ii
χ17222222222222222222222222222222222222-1-1-1-1-1-1-1-1220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-1-1-1-1-100000000
χ182222222222222222222222-2-2-2-22222222222-1-1-1-1-1-1-1-1-2-2000000002222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-21111111100000000
χ19222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222220022222222−1−52−1+52−1−52−1+520000−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ20222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222200-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+520000−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222220022222222−1+52−1−52−1+52−1−520000−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222200-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−520000−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ232222-2-2222222222222-2-2-2-22222-2-222222222-111-111-1-1-2-200000000-2-2-2-22222-1-11111-1-1-1-1-1-111110000000000000000-2-2-1-1-1-1111100000000
χ242222-2-2222222222222-2-2-2-2-2-2-2-2-2-222222222-111-111-1-12200000000-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-111110000000000000000221111-1-1-1-100000000
χ252222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222221+521−521+521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-22-2-222002-22-222-2-21+521−521+521−520000−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ262222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222221+521−521+521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-22-2-22200-22-22-2-2221+521−521+521−520000−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ272222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222221−521+521−521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22-2-222002-22-222-2-21−521+521−521+520000−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ282222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222221−521+521−521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22-2-22200-22-22-2-2221−521+521−521+520000−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ2922-2-22-22222-2-2-2-222-2-222-2-22i2i−2i−2i2-22222-2-2-2-2-1-1-1-111112i−2i0000000022-2-22i2i−2i−2i-1-1-1-1-1-1-1-11111111100000000000000002i−2i−i−iii−i−iii00000000
χ3022-2-22-22222-2-2-2-222-2-222-2-2−2i−2i2i2i2-22222-2-2-2-2-1-1-1-11111−2i2i0000000022-2-2−2i−2i2i2i-1-1-1-1-1-1-1-1111111110000000000000000−2i2iii−i−iii−i−i00000000
χ3122-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1+521+521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−522222-2-2-2-2002-2-222-22-2−1−52−1+521+521−520000−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000
χ3222-2-22-2−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1+521+521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−522222-2-2-2-200-222-2-22-22−1−52−1+521+521−520000−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000
χ3322-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1−521−521+5200002-2−1+52−1+52−1−52−1−521−521−521+521+522222-2-2-2-2002-2-222-22-2−1+52−1−521−521+520000−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000
χ3422-2-22-2−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1−521−521+5200002-2−1+52−1+52−1−52−1−521−521−521+521+522222-2-2-2-200-222-2-22-22−1+52−1−521−521+520000−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000
χ3522-2-2-222222-2-2-2-222-2-2-2-2222i2i−2i−2i-222222-2-2-2-2-111-1-1-111−2i2i00000000-2-2222i2i−2i−2i-1-11111-1-11111-1-1-1-10000000000000000−2i2i−i−iiiii−i−i00000000
χ3622-2-2-222222-2-2-2-222-2-2-2-222−2i−2i2i2i-222222-2-2-2-2-111-1-1-1112i−2i00000000-2-222−2i−2i2i2i-1-11111-1-11111-1-1-1-100000000000000002i−2iii−i−i−i−iii00000000
χ3722-2-2-22−1−52−1+52−1−52−1+521+521+521−521−5222-2-21+521−52−1−52−1+520000-22−1−52−1−52−1+52−1+521+521+521−521−522-2-2222-2-20022-2-22-2-221+521−52−1−52−1+520000−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000000
χ3822-2-2-22−1−52−1+52−1−52−1+521+521+521−521−5222-2-21+521−52−1−52−1+520000-22−1−52−1−52−1+52−1+521+521+521−521−522-2-2222-2-200-2-222-222-21+521−52−1−52−1+520000−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000
χ3922-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-21−521+52−1+52−1−520000-22−1+52−1+52−1−52−1−521−521−521+521+522-2-2222-2-20022-2-22-2-221−521+52−1+52−1−520000−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000
χ4022-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-21−521+52−1+52−1−520000-22−1+52−1+52−1−52−1−521−521−521+521+522-2-2222-2-200-2-222-222-21−521+52−1+52−1−520000−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000
χ412-22i−2i0022-2-22i−2i2i−2i2-22i−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+2ζ109002-22-22i−2i2i−2i200-2002i−2i000000000000002ζ7+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+2ζ109220000-2-22i−2i2i−2i00000000000000000000002ζ7+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
χ422-22i−2i0022-2-22i−2i2i−2i2-22i−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+2ζ109002-22-22i−2i2i−2i-1−i3i313−3−ii000000000000002ζ7+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+2ζ109-1-1−i3i3−i3i311−ii−ii3−33−3000000000000000000−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000
χ432-22i−2i0022-2-22i−2i2i−2i2-22i−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+2ζ109002-22-22i−2i2i−2i-1i3−i31−33−ii000000000000002ζ7+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+2ζ109-1-1i3−i3i3−i311−ii−ii−33−33000000000000000000−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000
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χ10912-1212i−12i00−3−35−3+353+353−35−6ζ22−6ζ38−6ζ62−6ζ1186ζ22+6ζ38+6ζ62+6ζ118−6ζ14−6ζ46−6ζ86−6ζ946ζ14+6ζ46+6ζ86+6ζ94-44−4i4i00000000001+5−1−51−5−1+52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000
χ11012-1212i−12i00−3+35−3−353−353+35−6ζ14−6ζ46−6ζ86−6ζ946ζ14+6ζ46+6ζ86+6ζ94−6ζ22−6ζ38−6ζ62−6ζ1186ζ22+6ζ38+6ζ62+6ζ118-44−4i4i00000000001−5−1+51+5−1−52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000
χ11112-12−12i12i00−3−35−3+353+353−356ζ22+6ζ38+6ζ62+6ζ118−6ζ22−6ζ38−6ζ62−6ζ1186ζ14+6ζ46+6ζ86+6ζ94−6ζ14−6ζ46−6ζ86−6ζ94-444i−4i00000000001+5−1−51−5−1+5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000
χ11212-12−12i12i00−3+35−3−353−353+356ζ14+6ζ46+6ζ86+6ζ94−6ζ14−6ζ46−6ζ86−6ζ946ζ22+6ζ38+6ζ62+6ζ118−6ζ22−6ζ38−6ζ62−6ζ118-444i−4i00000000001−5−1+51+5−1−5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000

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