Finite Group Databasebeta

← Group #14305235

Character table — Group #14305235

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444444444444455558888888888888888888888881010101010101010101016161616161616161616161620202020202030303030303030303030303030303030404040404040120120120120
order12223446668888510101012121515242424243030303030304444441212121220204040404060606060120120120120120120120120228888121212122020202060606060606060606624242424444444448888888844121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1ii−i−i
χ611111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1−i−iii
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111−i−iii
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111ii−i−i
χ91111111111-1-1-1-111111111-1-1-1-111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-11-11
χ111111111111-1-1-1-111111111-1-1-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11-11
χ121111111111-1-1-1-111111111-1-1-1-11111111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111-11-1
χ131111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-1-111i−i−ii
χ141111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-1-111−iii−i
χ151111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1−iii−i
χ161111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1i−i−ii
χ1722222-2-222200002222-2-22200002222222222000000-2-20000-2-2-2-200000000-2-200002222000000000000-2-200000000000022-2-222-2-20000000000
χ1822222-2-222200002222-2-22200002222222222000000-2-20000-2-2-2-200000000-2-200002222000000000000-2-2000000000000-2-222-2-2220000000000
χ1922222-2-222200002222-2-2220000222222-2-2-2-2000000-2-20000-2-2-2-200000000220000-2-2-2-2000000000000220000000000002i2i−2i−2i−2i−2i2i2i0000000000
χ2022222-2-222200002222-2-2220000222222-2-2-2-2000000-2-20000-2-2-2-200000000220000-2-2-2-200000000000022000000000000−2i−2i2i2i2i2i−2i−2i0000000000
χ212222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-10000
χ222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-211111111-1-1-1-1-1-10000000000000000-2-211110000
χ232222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211112222-1-1-1-1-1-1-1-11111110000000000000000-2-211110000
χ242222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2-2-211111111111111000000000000000022-1-1-1-10000
χ252222-122-1-1-1-2-2-2-22222-1-1-1-11111-1-1-1-1-1-122222-2-1-11122-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-122-2-2-1-1-1-11111-1-1111100000000000000002-2-1-1110000
χ262222-122-1-1-1-2-2-2-22222-1-1-1-11111-1-1-1-1-1-12222-2211-1-122-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-1-2-2221111-1-1-1-1-1-111110000000000000000-2211-1-10000
χ272222-122-1-1-1-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-2-2-2-22-2-1-11122-2-2-2-2-1-1-1-111111111-2-22222111122-2-2-1-1-1-1111111-1-1-1-10000000000000000-2211-1-10000
χ282222-122-1-1-1-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-2211-1-122-2-2-2-2-1-1-1-111111111-2-222221111-2-2221111-1-1-1-111-1-1-1-100000000000000002-2-1-1110000
χ2922-2-22002-2-222−2−22-2-22002222−2−2-2-2-2-2222i−2i2i−2i0000000022−2−200002222−2−2−2−200−i2−i2i2i22i2i−2i−2i00000000000000−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000000000
χ3022-2-22002-2-222−2−22-2-22002222−2−2-2-2-2-2222i−2i2i−2i0000000022−2−200002222−2−2−2−200−i2−i2i2i22i2i−2i−2i00000000000000−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000
χ3122-2-22002-2-222−2−22-2-22002222−2−2-2-2-2-222−2i2i−2i2i0000000022−2−200002222−2−2−2−200i2i2−i2−i2−2i−2i2i2i00000000000000i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000
χ3222-2-22002-2-222−2−22-2-22002222−2−2-2-2-2-222−2i2i−2i2i0000000022−2−200002222−2−2−2−200i2i2−i2−i2−2i−2i2i2i00000000000000i2i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000000000
χ3322-2-22002-2-2−2−2222-2-220022−2−222-2-2-2-2222i−2i2i−2i00000000−2−2220000−2−2−2−2222200i2i2−i2−i22i2i−2i−2i00000000000000i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000
χ3422-2-22002-2-2−2−2222-2-220022−2−222-2-2-2-2222i−2i2i−2i00000000−2−2220000−2−2−2−2222200i2i2−i2−i22i2i−2i−2i00000000000000i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000000000
χ3522-2-22002-2-2−2−2222-2-220022−2−222-2-2-2-222−2i2i−2i2i00000000−2−2220000−2−2−2−2222200−i2−i2i2i2−2i−2i2i2i00000000000000−i2−i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000000000
χ3622-2-22002-2-2−2−2222-2-220022−2−222-2-2-2-222−2i2i−2i2i00000000−2−2220000−2−2−2−2222200−i2−i2i2i2−2i−2i2i2i00000000000000−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000
χ372-22-222-2-22-200002-22-22-2220000-2-222-2-222-2-20000002-2000022-2-200000000-2200002-22-20000000000002-200002-22-22-22-2000000000000000000
χ382-22-222-2-22-200002-22-22-2220000-2-222-2-222-2-20000002-2000022-2-200000000-2200002-22-20000000000002-20000-22-22-22-22000000000000000000
χ392-22-222-2-22-200002-22-22-2220000-2-222-2-2-2-2220000002-2000022-2-2000000002-20000-22-22000000000000-2200002i−2i2i−2i−2i2i−2i2i000000000000000000
χ402-22-222-2-22-200002-22-22-2220000-2-222-2-2-2-2220000002-2000022-2-2000000002-20000-22-22000000000000-220000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ412-22-22-22-22-22-22-22-22-2-22222-22-2-2-222-2-222-2-2000000-222-22-2-2-22222-2-222-2-22-22-22-22-22-2000000000000-222-22-200000000000000000000000000
χ422-22-22-22-22-22-22-22-22-2-22222-22-2-2-222-2-2-2-222000000-222-22-2-2-22222-2-222-2-2-22-22-22-22-220000000000002-2-22-2200000000000000000000000000
χ432-22-22-22-22-2-22-222-22-2-2222-22-22-2-222-2-222-2-2000000-22-22-22-2-222-2-222-2-2222-2-22-222-22-2000000000000-22-22-2200000000000000000000000000
χ442-22-22-22-22-2-22-222-22-2-2222-22-22-2-222-2-2-2-222000000-22-22-22-2-222-2-222-2-222-222-22-2-22-220000000000002-22-22-200000000000000000000000000
χ452-22-2-1-221-112-22-22-22-21-1-1-1-11-1111-1-11122-2-2003−33−3-222-22-211-1-1-1-111-1-1112-22-22-2-11-11000033−3−333−3−31-1-11-110000000000000000003−33−30000
χ462-22-2-1-221-112-22-22-22-21-1-1-1-11-1111-1-11122-2-200−33−33-222-22-211-1-1-1-111-1-1112-22-22-2-11-110000−3−333−3−3331-1-11-11000000000000000000−33−330000
χ472-22-2-1-221-112-22-22-22-21-1-1-1-11-1111-1-111-2-222003−33−3-222-22-211-1-1-1-111-1-111-22-22-221-11-1000033−3−333−3−3-111-11-1000000000000000000−33−330000
χ482-22-2-1-221-112-22-22-22-21-1-1-1-11-1111-1-111-2-22200−33−33-222-22-211-1-1-1-111-1-111-22-22-221-11-10000−3−333−3−333-111-11-10000000000000000003−33−30000
χ492-22-2-1-221-11-22-222-22-21-1-1-11-11-111-1-11122-2-2003−3−33-22-22-2211-1-111-1-111-1-12-2-22-22-11-11000033−3−3−3−3331-11-11-10000000000000000003−3−330000
χ502-22-2-1-221-11-22-222-22-21-1-1-11-11-111-1-11122-2-200−333−3-22-22-2211-1-111-1-111-1-12-2-22-22-11-110000−3−33333−3−31-11-11-1000000000000000000−333−30000
χ512-22-2-1-221-11-22-222-22-21-1-1-11-11-111-1-111-2-222003−3−33-22-22-2211-1-111-1-111-1-1-222-22-21-11-1000033−3−3−3−333-11-11-11000000000000000000−333−30000
χ522-22-2-1-221-11-22-222-22-21-1-1-11-11-111-1-111-2-22200−333−3-22-22-2211-1-111-1-111-1-1-222-22-21-11-10000−3−33333−3−3-11-11-110000000000000000003−3−330000
χ532-2-22200-2-222−2−2222-2-200222−2−2222-2-2-2-22i−2i−2i2i000000002−2−22000022−2−2−2−22200−i2i2i2−i22i−2i−2i2i00000000000000−i2i2i2−i21+i−1−i−1−i1+i1−i−1+i−1+i1−i2ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000000000
χ542-2-22200-2-222−2−2222-2-200222−2−2222-2-2-2-22i−2i−2i2i000000002−2−22000022−2−2−2−22200−i2i2i2−i22i−2i−2i2i00000000000000−i2i2i2−i2−1−i1+i1+i−1−i−1+i1−i1−i−1+i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000000
χ552-2-22200-2-222−2−2222-2-200222−2−2222-2-2-2-2−2i2i2i−2i000000002−2−22000022−2−2−2−22200i2−i2−i2i2−2i2i2i−2i00000000000000i2−i2−i2i21−i−1+i−1+i1−i1+i−1−i−1−i1+i−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000
χ562-2-22200-2-222−2−2222-2-200222−2−2222-2-2-2-2−2i2i2i−2i000000002−2−22000022−2−2−2−22200i2−i2−i2i2−2i2i2i−2i00000000000000i2−i2−i2i2−1+i1−i1−i−1+i−1−i1+i1+i−1−i2ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000000000
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χ1128-8-88-40044-442−42−4242-2-222001+i151−i15−222222−221+i151−i15−1−i15−1+i15−1−i15−1+i15000000000000−222−20000ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119000000000000000000000000000000000000000000000000000000
χ1138-8-88-40044-4−424242−42-2-222001−i151+i1522−22−22221−i151+i15−1+i15−1−i15−1+i15−1−i150000000000002−2−220000−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109000000000000000000000000000000000000000000000000000000
χ1148-8-88-40044-4−424242−42-2-222001+i151−i1522−22−22221+i151−i15−1−i15−1+i15−1−i15−1+i150000000000002−2−220000−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119ζ23+ζ31+ζ47−ζ53−ζ61−ζ77+ζ79−ζ109ζ7−ζ13−ζ29−ζ37+ζ71−ζ101+ζ103+ζ119−ζ23−ζ31−ζ47+ζ53+ζ61+ζ77−ζ79+ζ109−ζ7+ζ13+ζ29+ζ37−ζ71+ζ101−ζ103−ζ119000000000000000000000000000000000000000000000000000000

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