Finite Group Databasebeta

← Group #14298453

Character table — Group #14298453

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222224444444444444555588888888888888888888101010101010101010101010121212122020202020202020202020202020202020202020202020202020202020242424242424242460606060120120120120
order122222344666121212124566101010101010101212222215202020203030303030303060606060606060602244666612121212444446688888888121224242424242424242424242424242424202020202020202044444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1ii−i−i
χ611111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−iii
χ711111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−iii
χ811111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111ii−i−i
χ91111-1-11111111111-11-1-11-1-1-1-111-1-11111111-1-111-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1
χ101111-1-11111111111-11-1-11-1-1-1-111-1-11111111-1-111-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-11-11
χ111111-1-11111111111-11-1-11-1-1-1-111-1-11111111-1-111-1-1-1-111111-1-1-1-1-1-11111111111-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-11
χ121111-1-11111111111-11-1-11-1-1-1-111-1-11111111-1-111-1-1-1-111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ131111-1-11111111111-11-1-11-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111i−i−ii
χ141111-1-11111111111-11-1-11-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−iii−i
χ151111-1-11111111111-11-1-11-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1−iii−i
χ161111-1-11111111111-11-1-11-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1i−i−ii
χ172222222-2-2222-2-2-2-2-22222222222-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-20000-22200000000-2-200000000000000000000000000000000
χ182222222-2-2222-2-2-2-2-22222222222-2-2-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222200002-2-2000000002200000000000000000000000000000000
χ19222222-122-1-1-1-1-1-1-122-1-12222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222-122-1-1-1-1-1-1-122-1-12222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002-1-1-2-2-2-2-2-2-2-2-1-111111111111111110000000000000000
χ21222222-122-1-1-1-1-1-1-122-1-12222222-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2112i2i2i2i−2i−2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ22222222-122-1-1-1-1-1-1-122-1-12222222-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-211−2i−2i−2i−2i2i2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ23222222-1-2-2-1-1-11111-22-1-12222222112222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-111110000-2-1-1000000001133−3−333−3−333−3−333−3−30000000000000000
χ24222222-1-2-2-1-1-11111-22-1-12222222112222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-111110000-2-1-10000000011−3−333−3−333−3−333−3−3330000000000000000
χ25222222-1-2-2-1-1-11111-22-1-1222222211-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-1000021100000000-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222-1-2-2-1-1-11111-22-1-1222222211-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2221111-1-1-1-1000021100000000-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ272222-2-22-2-2222-2-2-2-222-2-22-2-2-2-2222222222-2-22222-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-200002-2-2000000002200000000000000000000000000000000
χ282222-2-22-2-2222-2-2-2-222-2-22-2-2-2-22222-2-2-2-22-2-22222-2-2-2-22-2-2-2-222222222-2-2-2-222220000-22200000000-2-200000000000000000000000000000000
χ292222-2-2-122-1-1-1-1-1-1-1-22112-2-2-2-222112222-122-2-2-1-11111-1-1-1-1-11111-2-222-1-1-1-1-1-1-1-10000-21122-2-222-2-211-1-1-1-11111-1-1-1-111110000000000000000
χ302222-2-2-122-1-1-1-1-1-1-1-22112-2-2-2-222112222-122-2-2-1-11111-1-1-1-1-11111-2-222-1-1-1-1-1-1-1-10000-211-2-222-2-222111111-1-1-1-11111-1-1-1-10000000000000000
χ312222-2-2-122-1-1-1-1-1-1-1-22112-2-2-2-22211-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-21111111100002-1-12i2i−2i−2i−2i−2i2i2i-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ322222-2-2-122-1-1-1-1-1-1-1-22112-2-2-2-22211-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-21111111100002-1-1−2i−2i2i2i2i2i−2i−2i-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ332222-2-2-1-2-2-1-1-1111122112-2-2-2-222-1-12222-1-2-222-1-11111-11111-1-1-1-1-2-2-2-2-1-1-1-11111000021100000000-1-133−3−3−3−33333−3−3−3−3330000000000000000
χ342222-2-2-1-2-2-1-1-1111122112-2-2-2-222-1-12222-1-2-222-1-11111-11111-1-1-1-1-2-2-2-2-1-1-1-11111000021100000000-1-1−3−33333−3−3−3−33333−3−30000000000000000
χ352222-2-2-1-2-2-1-1-1111122112-2-2-2-222-1-1-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122221111-1-1-1-10000-2-1-10000000011−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ362222-2-2-1-2-2-1-1-1111122112-2-2-2-222-1-1-2-2-2-2-1-2-222-1-11111-11111-1-1-1-122221111-1-1-1-10000-2-1-10000000011i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ372-22-20022-2-2-2222-2-20200-200002-2002-22-222-200-2-20000222-2-20000002-222-2-222-2-2002i−2i0000000000000000000000000000000002i2i−2i−2i002i−2i0000
χ382-22-20022-2-2-2222-2-20200-200002-2002-22-222-200-2-20000222-2-20000002-222-2-222-2-200−2i2i000000000000000000000000000000000−2i−2i2i2i00−2i2i0000
χ392-22-20022-2-2-2222-2-20200-200002-200-22-2222-200-2-20000222-2-2000000-22-2-222-2-222002i−2i0000000000000000000000000000000002i2i−2i−2i00−2i2i0000
χ402-22-20022-2-2-2222-2-20200-200002-200-22-2222-200-2-20000222-2-2000000-22-2-222-2-22200−2i2i000000000000000000000000000000000−2i−2i2i2i002i−2i0000
χ412-22-2002-22-2-22-2-2220200-200002-2002-22-22-2200-2-200002-2-222000000-2222-2-2-2-2222i−2i00000000000000000000000000000002i2i−2i−2i00002i−2i000000
χ422-22-2002-22-2-22-2-2220200-200002-2002-22-22-2200-2-200002-2-222000000-2222-2-2-2-222−2i2i0000000000000000000000000000000−2i−2i2i2i0000−2i2i000000
χ432-22-2002-22-2-22-2-2220200-200002-200-22-222-2200-2-200002-2-2220000002-2-2-22222-2-22i−2i00000000000000000000000000000002i2i−2i−2i0000−2i2i000000
χ442-22-2002-22-2-22-2-2220200-200002-200-22-222-2200-2-200002-2-2220000002-2-2-22222-2-2−2i2i0000000000000000000000000000000−2i−2i2i2i00002i−2i000000
χ452-2-222-22002-2-20000022-2-222-2-2-220022-2-2200002-222-2-2-2000000002-2002-22-20000000002-2−i2i2−i2i2−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ462-2-222-22002-2-20000022-2-222-2-2-220022-2-2200002-222-2-2-2000000002-2002-22-20000000002-2i2−i2i2−i2i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ472-2-222-22002-2-20000022-2-222-2-2-2200-2-222200002-222-2-2-200000000-2200-22-22000000000-222−22−2−22−22002−22−22−22−2−22−22−22−220000000000000000
χ482-2-222-22002-2-20000022-2-222-2-2-2200-2-222200002-222-2-2-200000000-2200-22-22000000000-22−22−222−22−200−22−22−22−222−22−22−22−20000000000000000
χ492-2-222-2-100-1113−33−302-11-222-2-2-223−322-2-2-10000-11-1-11113−33−333−3−32-200-11-113−33−300000-11−i2i2−i2i2−i2i2−i2i23−3ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ1190000000000000000
χ502-2-222-2-100-1113−33−302-11-222-2-2-223−322-2-2-10000-11-1-11113−33−333−3−32-200-11-113−33−300000-11i2−i2i2−i2i2−i2i2−i23−3−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ1190000000000000000
χ512-2-222-2-100-1113−33−302-11-222-2-2-223−3-2-222-10000-11-1-11113−33−333−3−3-22001-11-1−33−33000001-12−22−2−22−22−33ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ1030000000000000000
χ522-2-222-2-100-1113−33−302-11-222-2-2-223−3-2-222-10000-11-1-11113−33−333−3−3-22001-11-1−33−33000001-1−22−222−22−2−33−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ1030000000000000000
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χ10488-8-800-4004-44−434343−430-200-225−25−25252200000010000-11−555−5-13−3−33−151515−150000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-48-844-4-4-4440-2002−2525−2525-220000001-22−2525-1-15−55−5111-1-15−55−50000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-48-844-4-4-4440-200225−2525−25-220000001-2225−25-1-1−55−55111-1-1−55−550000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-4-8844-444-4-40-2002−2525−2525-2200000012-225−25-1-15−55−51-1-111−55−550000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-4-8844-444-4-40-200225−2525−25-2200000012-2−2525-1-1−55−551-1-1115−55−50000000000000000000000000000000000000000000000000000000000000
χ1098-8-888-88008-8-800000-28-82-2-2222-2000000-20000-22-2-2222000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-8-400-44443−4343−430-2-442-2-2222-243−430000100001-111-1-1-1−33−33−3−3330000000000000000000000000000000000000000000000000000000000000
χ1118-8-888-8-400-444−4343−43430-2-442-2-2222-2−43430000100001-111-1-1-13−33−333−3−30000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-888008-8-800000-2-88222-2-22-2000000-20000-2222-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-88-400-44443−4343−430-24-4222-2-22-2−43430000100001-1-1-111-1−33−3333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-400-444−4343−43430-24-4222-2-22-243−430000100001-1-1-111-13−33−3−3−3330000000000000000000000000000000000000000000000000000000000000

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