Finite Group Databasebeta

← Group #14282198

Character table — Group #14282198

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444455556688888888888810101010101012121212121212161616161616202020202020202020202020202020202424242424243030404040404040404060606060606060120120
order122234466622510101012124444446610101010152020303030441212121244420202020303030306060448888121224242424242424242020202020204488121224242424244888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-1-1-1-1-1-1
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
χ41111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111111-1-1ii−i−i-1-1iiii−i−i−i−i111111-1-1i−i-1-1ii−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−ii-1-1−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-1-1-1-1-1-111i−i-1-1ii−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−ii-1-1−i−iii111ii−i−ii−i
χ91111111111-1-1111111111111-1-1-1-1-1-1111111111111-1-111111-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1
χ101111111111-1-1111111111111-1-1-1-1-1-1111111111111-1-111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-111
χ111111111111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ121111111111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1111111-1-1
χ131111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111ii−i−i-1-1iiii−i−i−i−i11-1-1-1-1-1-1−ii11−i−iii-111ii−i−i−ii
χ141111111111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111−i−iii-1-1−i−i−i−iiiii11-1-1-1-1-1-1i−i11ii−i−i-111−i−iiii−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111ii−i−i-1-1iiii−i−i−i−i-1-1111111−ii11−i−iii1-1-1−i−iiii−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111−i−iii-1-1−i−i−i−iiiii-1-1111111i−i11ii−i−i1-1-1ii−i−i−ii
χ1722222-2-2222002222-2-22222220000002-2-2222-2-2222200-222220000-2-2000000-2-200000000-2-200002200000000-200000000
χ1822222-2-2222002222-2-22222-2-20000002-2-2222-2-22222002-2-2-2-20000-2-2000000-2-200000000220000-2-200000000200000000
χ1922222-2-2222002222-2-2-2-2-2-2220000002-2-222222-2-2-2-200-222220000-2-20000002200000000-2-20000-2-200000000200000000
χ2022222-2-2222002222-2-2-2-2-2-2-2-20000002-2-222222-2-2-2-2002-2-2-2-20000-2-200000022000000002200002200000000-200000000
χ212222-122-1-1-1222222-1-1222200-1-12222-122-1-1-122-1-1-1-10000000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1000000000
χ222222-122-1-1-1222222-1-1222200-1-12222-122-1-1-122-1-1-1-10000000-1-1-1-1-1-122-2-2-2-2-1-11111111100000000-2-2-1-11111000000000
χ232222-122-1-1-1222222-1-1-2-2-2-200-1-12222-122-1-1-1-2-211110000000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−i−i−iiiii000000002i−2i11−i−iii000000000
χ242222-122-1-1-1222222-1-1-2-2-2-200-1-12222-122-1-1-1-2-211110000000-1-1-1-1-1-1-2-2−2i−2i2i2i11iiii−i−i−i−i00000000−2i2i11ii−i−i000000000
χ252222-122-1-1-1-2-22222-1-122220011-2-2-2-2-122-1-1-122-1-1-1-100000001111-1-1-2-22222-1-1-1-1-1-1-1-1-1-100000000-2-2111111000000000
χ262222-122-1-1-1-2-22222-1-122220011-2-2-2-2-122-1-1-122-1-1-1-100000001111-1-1-2-2-2-2-2-2-1-111111111000000002211-1-1-1-1000000000
χ272222-122-1-1-1-2-22222-1-1-2-2-2-20011-2-2-2-2-122-1-1-1-2-2111100000001111-1-1222i2i−2i−2i11−i−i−i−iiiii00000000−2i2i-1-1ii−i−i000000000
χ282222-122-1-1-1-2-22222-1-1-2-2-2-20011-2-2-2-2-122-1-1-1-2-2111100000001111-1-122−2i−2i2i2i11iiii−i−i−i−i000000002i−2i-1-1−i−iii000000000
χ292-22-2200-2-22002-22-20022-2-22i−2i0000002002-2-200-2-2220002i2i−2i−2i000000002−22−20022−2−222−2−20000002i−2i00000000000−i2i2−i2i200
χ302-22-2200-2-22002-22-20022-2-22i−2i0000002002-2-200-2-2220002i2i−2i−2i00000000−22−2200−2−222−2−2220000002i−2i00000000000i2−i2i2−i200
χ312-22-2200-2-22002-22-20022-2-2−2i2i0000002002-2-200-2-222000−2i−2i2i2i000000002−22−20022−2−222−2−2000000−2i2i00000000000i2−i2i2−i200
χ322-22-2200-2-22002-22-20022-2-2−2i2i0000002002-2-200-2-222000−2i−2i2i2i00000000−22−2200−2−222−2−222000000−2i2i00000000000−i2i2−i2i200
χ332-22-2200-2-22002-22-200-2-2222i−2i0000002002-2-20022-2-20002i2i−2i−2i00000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2000000−2i2i00000000000−222−200
χ342-22-2200-2-22002-22-200-2-2222i−2i0000002002-2-20022-2-20002i2i−2i−2i00000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2000000−2i2i000000000002−2−2200
χ352-22-2200-2-22002-22-200-2-222−2i2i0000002002-2-20022-2-2000−2i−2i2i2i00000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i20000002i−2i000000000002−2−2200
χ362-22-2200-2-22002-22-200-2-222−2i2i0000002002-2-20022-2-2000−2i−2i2i2i00000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i20000002i−2i00000000000−222−200
χ372-2-2222-22-2-20022-2-22-22i−2i2i−2i0000000022-2-2-222i−2i2i−2i2i−2i2i−2i0000000002-20000002i−2i00000000002i2i−2i−2i000000000002-2000000
χ382-2-2222-22-2-20022-2-22-22i−2i2i−2i0000000022-2-2-222i−2i2i−2i2i−2i−2i2i0000000002-20000002i−2i0000000000−2i−2i2i2i00000000000-22000000
χ392-2-2222-22-2-20022-2-22-2−2i2i−2i2i0000000022-2-2-22−2i2i−2i2i−2i2i2i−2i0000000002-2000000−2i2i00000000002i2i−2i−2i00000000000-22000000
χ402-2-2222-22-2-20022-2-22-2−2i2i−2i2i0000000022-2-2-22−2i2i−2i2i−2i2i−2i2i0000000002-2000000−2i2i0000000000−2i−2i2i2i000000000002-2000000
χ412-2-222-222-2-22-222-2-2-222i−2i2i−2i002-222-2-22-22-2-22−2i2i2i−2i2i−2i000000022-2-2-222i−2i0000−2i2i0000000000000000002i−2i0000000000000
χ422-2-222-222-2-22-222-2-2-22−2i2i−2i2i002-222-2-22-22-2-222i−2i−2i2i−2i2i000000022-2-2-22−2i2i00002i−2i000000000000000000−2i2i0000000000000
χ432-2-222-222-2-2-2222-2-2-222i−2i2i−2i00-22-2-2222-22-2-22−2i2i2i−2i2i−2i0000000-2-222-22−2i2i0000−2i2i000000000000000000−2i2i0000000000000
χ442-2-222-222-2-2-2222-2-2-22−2i2i−2i2i00-22-2-2222-22-2-222i−2i−2i2i−2i2i0000000-2-222-222i−2i00002i−2i0000000000000000002i−2i0000000000000
χ452-2-22-1-22-1112-222-2-21-12i−2i2i−2i00-1122-2-2-1-2211-1−2i2i−ii−ii0000000-1-1111-12i−2i0000i−iζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−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+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ1190000000000−iiζ13−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
χ462-2-22-1-22-1112-222-2-21-12i−2i2i−2i00-1122-2-2-1-2211-1−2i2i−ii−ii0000000-1-1111-12i−2i0000i−i−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−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−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ1190000000000−ii−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
χ472-2-22-1-22-1112-222-2-21-1−2i2i−2i2i00-1122-2-2-1-2211-12i−2ii−ii−i0000000-1-1111-1−2i2i0000−iiζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−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−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ1090000000000i−iζ7−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
χ482-2-22-1-22-1112-222-2-21-1−2i2i−2i2i00-1122-2-2-1-2211-12i−2ii−ii−i0000000-1-1111-1−2i2i0000−ii−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−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+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ1090000000000i−i−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
χ492-2-22-1-22-111-2222-2-21-12i−2i2i−2i001-1-2-222-1-2211-1−2i2i−ii−ii000000011-1-11-1−2i2i0000i−iζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−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+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ1190000000000i−i−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
χ502-2-22-1-22-111-2222-2-21-12i−2i2i−2i001-1-2-222-1-2211-1−2i2i−ii−ii000000011-1-11-1−2i2i0000i−i−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−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−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ1190000000000i−iζ13−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
χ512-2-22-1-22-111-2222-2-21-1−2i2i−2i2i001-1-2-222-1-2211-12i−2ii−ii−i000000011-1-11-12i−2i0000−iiζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−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−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ1090000000000−ii−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
χ522-2-22-1-22-111-2222-2-21-1−2i2i−2i2i001-1-2-222-1-2211-12i−2ii−ii−i000000011-1-11-12i−2i0000−ii−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−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+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ1090000000000−iiζ7−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
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
χ554444444444-4-4-1-1-1-144000044-4-41111-1-1-1-1-1-1000000-4-44-1-1-1-11111-1-10000000000000000-1-111110000000000000000000
χ564444444444-4-4-1-1-1-1440000-4-4-4-41111-1-1-1-1-1-100000044-411111111-1-1000000000000000011-1-1-1-10000000000000000000
χ5744444-4-444400-1-1-1-1-4-400004400−55−55-111-1-1-100000000-4-1-1-1-1−55−5511000000000000000011−55−550000000000000000000
χ5844444-4-444400-1-1-1-1-4-4000044005−55−5-111-1-1-100000000-4-1-1-1-15−55−5110000000000000000115−55−50000000000000000000
χ5944444-4-444400-1-1-1-1-4-40000-4-400−55−55-111-1-1-10000000041111−55−55110000000000000000-1-15−55−50000000000000000000
χ6044444-4-444400-1-1-1-1-4-40000-4-4005−55−5-111-1-1-100000000411115−55−5110000000000000000-1-1−55−550000000000000000000
χ614444-2-4-4-2-2-200444422444400000000-2-4-4-2-2-2-4-4-2-2-2-2000000000002200000022000000000000000000000000000000000
χ624444-2-4-4-2-2-200444422-4-4-4-400000000-2-4-4-2-2-24422220000000000022000000-2-2000000000000000000000000000000000
χ6344-4-4400-44-4004-4-44004i−4i−4i4i00000000400-44-400−4i4i4i−4i000000000000000000000000000000000000000000000000000000
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χ938-8-88-4-88-4448-8-2-2224-4000000-44-2-22212-2-1-11000000000000011-1-1-1100000000000000000000000000000000000000000
χ948-8-88-4-88-444-88-2-2224-40000004-422-2-212-2-1-110000000000000-1-111-1100000000000000000000000000000000000000000
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χ9616-1616-16-80088-800-44-44000000000000002002-2-2000000000000000000000000000000000000000000000000000000000000

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