Finite Group Databasebeta

← Group #14282103

Character table — Group #14282103

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444455556688888888888810101010101012121212121212161616161616202020202020202020202020202020202424242424243030404040404040404060606060606060120120
order122234466644510101012124444221212152020202020203030304412121212444101010106060606060602288881212242424242424242420202020202044668824242424224888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111111-1-1ii−i−i-1-1iiii−i−i−i−i111111-1-1-1-1i−iii−i−i-1-1-1ii−i−ii−i
χ6111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111111-1-1−i−iii-1-1−i−i−i−iiiii111111-1-1-1-1−ii−i−iii-1-1-1−i−iii−ii
χ7111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-1i−iii−i−i111−i−iii−ii
χ8111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-1−ii−i−iii111ii−i−ii−i
χ91111111111-1-1111111111111-1-1111-1-1-1-11111111111-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1
χ101111111111-1-1111111111111-1-1111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-11-1-1-1-111
χ111111111111-1-11111111111-1-1-1-1111-1-1-1-1111111111-111-1-1-1-111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ121111111111-1-11111111111-1-1-1-1111-1-1-1-1111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11111-1-1
χ131111111111-1-1111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i11-1-1-1-1-1-111−ii−i−iii11-1ii−i−i−ii
χ141111111111-1-1111111-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-111−i−iii-1-1−i−i−i−iiiii11-1-1-1-1-1-111i−iii−i−i11-1−i−iiii−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111ii−i−i-1-1iiii−i−i−i−i-1-111111111−ii−i−iii-1-11−i−iiii−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111−i−iii-1-1−i−i−i−iiiii-1-111111111i−iii−i−i-1-11ii−i−i−ii
χ1722222-2-2222002222-2-2222222002-2-20000222-2-22222-2002222-2-20000000000-2-200000000-2-20000220000000000-2000000
χ1822222-2-2222002222-2-22222-2-2002-2-20000222-2-22222200-2-2-2-2-2-20000000000-2-200000000220000-2-200000000002000000
χ1922222-2-2222002222-2-2-2-2-2-222002-2-2000022222-2-2-2-2-2002222-2-200000000002200000000-2-20000-2-200000000002000000
χ2022222-2-2222002222-2-2-2-2-2-2-2-2002-2-2000022222-2-2-2-2200-2-2-2-2-2-200000000002200000000220000220000000000-2000000
χ212222-122-1-1-1222222-1-1222200-1-1-1222222-1-1-122-1-1-1-10000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-100000000-1-122-1-1-1-1000000000
χ222222-122-1-1-1222222-1-1222200-1-1-1222222-1-1-122-1-1-1-10000000-1-1-1-1-1-122-2-2-2-2-1-11111111100000000-1-1-2-21111000000000
χ232222-122-1-1-1222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-211110000000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−i−i−iiiii00000000112i−2i−i−iii000000000
χ242222-122-1-1-1222222-1-1-2-2-2-200-1-1-1222222-1-1-1-2-211110000000-1-1-1-1-1-1-2-2−2i−2i2i2i11iiii−i−i−i−i0000000011−2i2iii−i−i000000000
χ252222-122-1-1-1-2-22222-1-122220011-122-2-2-2-2-1-1-122-1-1-1-10000000-1-11111-2-22222-1-1-1-1-1-1-1-1-1-10000000011-2-21111000000000
χ262222-122-1-1-1-2-22222-1-122220011-122-2-2-2-2-1-1-122-1-1-1-10000000-1-11111-2-2-2-2-2-2-1-111111111000000001122-1-1-1-1000000000
χ272222-122-1-1-1-2-22222-1-1-2-2-2-20011-122-2-2-2-2-1-1-1-2-211110000000-1-11111222i2i−2i−2i11−i−i−i−iiiii00000000-1-1−2i2iii−i−i000000000
χ282222-122-1-1-1-2-22222-1-1-2-2-2-20011-122-2-2-2-2-1-1-1-2-211110000000-1-1111122−2i−2i2i2i11iiii−i−i−i−i00000000-1-12i−2i−i−iii000000000
χ2922-2-222-22-2-2002-22-22-22i−2i2i−2i000022-20000-22-22i−2i2i−2i2i−2i02i−2i00002-200000000002i−2i00000000002i2i−2i−2i00000000002-20000000
χ3022-2-222-22-2-2002-22-22-22i−2i2i−2i000022-20000-22-22i−2i2i−2i2i−2i0−2i2i00002-200000000002i−2i0000000000−2i−2i2i2i0000000000-220000000
χ3122-2-222-22-2-2002-22-22-2−2i2i−2i2i000022-20000-22-2−2i2i−2i2i−2i2i02i−2i00002-20000000000−2i2i00000000002i2i−2i−2i0000000000-220000000
χ3222-2-222-22-2-2002-22-22-2−2i2i−2i2i000022-20000-22-2−2i2i−2i2i−2i2i0−2i2i00002-20000000000−2i2i0000000000−2i−2i2i2i00000000002-20000000
χ3322-2-22-222-2-22i−2i2-22-2-222i−2i2i−2i002i−2i2-222i2i−2i−2i-22-2−2i2i2i−2i2i−2i0000000-222i2i−2i−2i2-20000−2i2i00000000000000002-2000000000000000
χ3422-2-22-222-2-22i−2i2-22-2-22−2i2i−2i2i002i−2i2-222i2i−2i−2i-22-22i−2i−2i2i−2i2i0000000-222i2i−2i−2i-2200002i−2i0000000000000000-22000000000000000
χ3522-2-22-222-2-2−2i2i2-22-2-222i−2i2i−2i00−2i2i2-22−2i−2i2i2i-22-2−2i2i2i−2i2i−2i0000000-22−2i−2i2i2i-220000−2i2i0000000000000000-22000000000000000
χ3622-2-22-222-2-2−2i2i2-22-2-22−2i2i−2i2i00−2i2i2-22−2i−2i2i2i-22-22i−2i−2i2i−2i2i0000000-22−2i−2i2i2i2-200002i−2i00000000000000002-2000000000000000
χ3722-2-2-1-22-1112i−2i2-22-21-12i−2i2i−2i00−ii-1-222i2i−2i−2i1-11−2i2i−ii−ii00000001-1−i−iii2-20000i−iζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000-1100ζ7−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−ζ109000000000
χ3822-2-2-1-22-1112i−2i2-22-21-12i−2i2i−2i00−ii-1-222i2i−2i−2i1-11−2i2i−ii−ii00000001-1−i−iii2-20000i−i−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000-1100−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+ζ109000000000
χ3922-2-2-1-22-1112i−2i2-22-21-1−2i2i−2i2i00−ii-1-222i2i−2i−2i1-112i−2ii−ii−i00000001-1−i−iii-220000−iiζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000001-100−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000000
χ4022-2-2-1-22-1112i−2i2-22-21-1−2i2i−2i2i00−ii-1-222i2i−2i−2i1-112i−2ii−ii−i00000001-1−i−iii-220000−ii−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000001-100ζ13−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+ζ119000000000
χ4122-2-2-1-22-111−2i2i2-22-21-12i−2i2i−2i00i−i-1-22−2i−2i2i2i1-11−2i2i−ii−ii00000001-1ii−i−i-220000i−iζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000001-100−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+ζ109000000000
χ4222-2-2-1-22-111−2i2i2-22-21-12i−2i2i−2i00i−i-1-22−2i−2i2i2i1-11−2i2i−ii−ii00000001-1ii−i−i-220000i−i−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000001-100ζ7−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−ζ109000000000
χ4322-2-2-1-22-111−2i2i2-22-21-1−2i2i−2i2i00i−i-1-22−2i−2i2i2i1-112i−2ii−ii−i00000001-1ii−i−i2-20000−iiζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000-1100ζ13−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+ζ119000000000
χ4422-2-2-1-22-111−2i2i2-22-21-1−2i2i−2i2i00i−i-1-22−2i−2i2i2i1-112i−2ii−ii−i00000001-1ii−i−i2-20000−ii−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000-1100−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000000
χ452-2-22200-2-22002-2-220022-2-22-2002000000-2-220022-2-200022-2-200000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20000002-200000000000−i2i2−i2i200
χ462-2-22200-2-22002-2-220022-2-22-2002000000-2-220022-2-200022-2-200000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20000002-200000000000i2−i2i2−i200
χ472-2-22200-2-22002-2-220022-2-2-22002000000-2-220022-2-2000-2-22200000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2000000-2200000000000i2−i2i2−i200
χ482-2-22200-2-22002-2-220022-2-2-22002000000-2-220022-2-2000-2-22200000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2000000-2200000000000−i2i2−i2i200
χ492-2-22200-2-22002-2-2200-2-2222-2002000000-2-2200-2-22200022-2-2000000002−2−22002−22−2−22−22000000-22000000000002−2−2200
χ502-2-22200-2-22002-2-2200-2-2222-2002000000-2-2200-2-22200022-2-200000000−222−200−22−222−22−2000000-2200000000000−222−200
χ512-2-22200-2-22002-2-2200-2-222-22002000000-2-2200-2-222000-2-222000000002−2−22002−22−2−22−220000002-200000000000−222−200
χ522-2-22200-2-22002-2-2200-2-222-22002000000-2-2200-2-222000-2-22200000000−222−200−22−222−22−20000002-2000000000002−2−2200
χ53444444444444-1-1-1-14400004444-1-1-1-1-1-1-1-1-1-1000000444-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-10000000000000000000
χ54444444444444-1-1-1-1440000-4-444-1-1-1-1-1-1-1-1-1-1000000-4-4-41111-1-1-1-1-1-100000000000000001111110000000000000000000
χ554444444444-4-4-1-1-1-144000044-4-4-1-1-11111-1-1-10000004-4-4-1-1-1-1-1-111110000000000000000-1-111110000000000000000000
χ564444444444-4-4-1-1-1-1440000-4-4-4-4-1-1-11111-1-1-1000000-4441111-1-11111000000000000000011-1-1-1-10000000000000000000
χ5744444-4-444400-1-1-1-1-4-400004400-111−55−55-1-1-1000000-400-1-1-1-111−55−55000000000000000011−55−550000000000000000000
χ5844444-4-444400-1-1-1-1-4-400004400-1115−55−5-1-1-1000000-400-1-1-1-1115−55−50000000000000000115−55−50000000000000000000
χ5944444-4-444400-1-1-1-1-4-40000-4-400-111−55−55-1-1-1000000400111111−55−550000000000000000-1-15−55−50000000000000000000
χ6044444-4-444400-1-1-1-1-4-40000-4-400-1115−55−5-1-1-10000004001111115−55−50000000000000000-1-1−55−550000000000000000000
χ614444-2-4-4-2-2-20044442244440000-2-4-40000-2-2-2-4-4-2-2-2-2000000022000000000022000000000000000000000000000000000
χ624444-2-4-4-2-2-200444422-4-4-4-40000-2-4-40000-2-2-24422220000000220000000000-2-2000000000000000000000000000000000
χ6344-4-444-44-4-400-11-114-400000000-1-11−i5i5i5−i51-1100000004i−4i−55−55-11−i5i5i5−i50000000000000000−55−i−iii0000000000000000000
χ6444-4-444-44-4-400-11-114-400000000-1-11−i5i5i5−i51-110000000−4i4i5−55−5-11−i5i5i5−i500000000000000005−5ii−i−i0000000000000000000
χ6544-4-444-44-4-400-11-114-400000000-1-11i5−i5−i5i51-1100000004i−4i5−55−5-11i5−i5−i5i500000000000000005−5−i−iii0000000000000000000
χ6644-4-444-44-4-400-11-114-400000000-1-11i5−i5−i5i51-110000000−4i4i−55−55-11i5−i5−i5i50000000000000000−55ii−i−i0000000000000000000
χ6744-4-44-444-4-44i−4i-11-11-440000004i−4i-11-1−i−iii1-11000000000−55−551-1−i−iii00000000000000005−5−i5i5i5−i50000000000000000000
χ6844-4-44-444-4-44i−4i-11-11-440000004i−4i-11-1−i−iii1-110000000005−55−51-1−i−iii0000000000000000−55i5−i5−i5i50000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.