Finite Group Databasebeta

← Group #14277874

Character table — Group #14277874

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222444444444444444444448888888888888888888888881010101010101010101010101616161616161616161616162020202020204040404040406060606060606060120120120120
order122234466658810101012121515242424243030303030304412121212202040404040606060601201201201201201201201204444888812121212202020206060606060606060121224242424441212121216161616161616168888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ911-1-111-11-1-111-1-1-111-11111-1-1-1-1-1-1111-111-1-1-1111-1-1-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i11-1-11111-1-1-1-1i−iii−i−ii−iii−i−iζ7+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−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+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ1011-1-111-11-1-111-1-1-111-11111-1-1-1-1-1-1111-111-1-1-1111-1-1-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i11-1-11111-1-1-1-1i−iii−i−ii−iii−i−i−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+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−ζ109−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
χ1111-1-111-11-1-111-1-1-111-11111-1-1-1-1-1-1111-111-1-1-1111-1-1-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii11-1-11111-1-1-1-1−ii−i−iii−ii−i−iii−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+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−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119
χ1211-1-111-11-1-111-1-1-111-11111-1-1-1-1-1-1111-111-1-1-1111-1-1-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii11-1-11111-1-1-1-1−ii−i−iii−ii−i−iiiζ13+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−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+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
χ1311-1-111-11-1-111-1-1-111-11111-1-1-1-1-1-111-11-1-111-1111-1-1-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-1-1-11111i−iii−i−i−ii−i−iiiζ7+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−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+ζ109−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
χ1411-1-111-11-1-111-1-1-111-11111-1-1-1-1-1-111-11-1-111-1111-1-1-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-1-1-11111i−iii−i−i−ii−i−iii−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+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−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109
χ1511-1-111-11-1-111-1-1-111-11111-1-1-1-1-1-111-11-1-111-1111-1-1-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-1-1-11111−ii−i−iiii−iii−i−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+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−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
χ1611-1-111-11-1-111-1-1-111-11111-1-1-1-1-1-111-11-1-111-1111-1-1-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-1-1-11111−ii−i−iiii−iii−i−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−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+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119
χ1722222222222-2-22222222-2-2-2-222222200000022-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000022-2-2-2-2000000000000000000
χ1822222222222-2-22222222-2-2-2-222222200000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000-2-22222000000000000000000
χ1922222-2-2222200222-2-2220000222222000000-2-20000-2-2-2-20000000022-2-200002222000000000000-2-20000000000−i2i2−i2i2−i2i2−i2i20000
χ2022222-2-2222200222-2-2220000222222000000-2-20000-2-2-2-20000000022-2-200002222000000000000-2-20000000000i2−i2i2−i2i2−i2i2−i20000
χ2122222-2-2222200222-2-2220000222222000000-2-20000-2-2-2-200000000-2-2220000-2-2-2-20000000000002200000000002−22−2−22−220000
χ2222222-2-2222200222-2-2220000222222000000-2-20000-2-2-2-200000000-2-2220000-2-2-2-2000000000000220000000000−22−222−22−20000
χ232222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211112222-1-1-1-1-1-1-1-1111111-2-21111000000000000
χ252222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-2-2-211111111-1-1-1-1-1-1-2-21111000000000000
χ262222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-2-2-2-21111111111111122-1-1-1-1000000000000
χ272222-122-1-1-12-2-2222-1-1-1-11111-1-1-1-1-1-100−i3i3−i3i322-2-2-2-2-1-1-1-1111111112222-2-2-2-2-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-1-1111100−i3i3−i3i3000000000000
χ282222-122-1-1-12-2-2222-1-1-1-11111-1-1-1-1-1-100−i3i3−i3i322-2-2-2-2-1-1-1-111111111-2-2-2-2222211110000−i3−i3i3i3−i3−i3i3i311-1-1-1-100i3−i3i3−i3000000000000
χ292222-122-1-1-12-2-2222-1-1-1-11111-1-1-1-1-1-100i3−i3i3−i322-2-2-2-2-1-1-1-1111111112222-2-2-2-2-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-1-1111100i3−i3i3−i3000000000000
χ302222-122-1-1-12-2-2222-1-1-1-11111-1-1-1-1-1-100i3−i3i3−i322-2-2-2-2-1-1-1-111111111-2-2-2-2222211110000i3i3−i3−i3i3i3−i3−i311-1-1-1-100−i3i3−i3i3000000000000
χ3122-2-222-22-2-22-22-2-222-222-2-222-2-2-2-222000000-22-2-222-2-222-2-2-2-222222i−2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000002i−2i−2i−2i2i2i000000000000000000
χ3222-2-222-22-2-22-22-2-222-222-2-222-2-2-2-222000000-22-2-222-2-222-2-2-2-22222−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i000000000000−2i2i2i2i−2i−2i000000000000000000
χ3322-2-22-222-2-2200-2-22-22220000-2-2-2-2220000002-2000022-2-2000000002i−2i−2i2i00002i2i−2i−2i000000000000−2i2i00000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000
χ3422-2-22-222-2-2200-2-22-22220000-2-2-2-2220000002-2000022-2-2000000002i−2i−2i2i00002i2i−2i−2i000000000000−2i2i0000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000
χ3522-2-22-222-2-2200-2-22-22220000-2-2-2-2220000002-2000022-2-200000000−2i2i2i−2i0000−2i−2i2i2i0000000000002i−2i00000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000
χ3622-2-22-222-2-2200-2-22-22220000-2-2-2-2220000002-2000022-2-200000000−2i2i2i−2i0000−2i−2i2i2i0000000000002i−2i0000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000
χ3722-2-2-12-2-11122-2-2-22-11-1-1-1-1111111-1-12-2-1-111-2222-2-211-1-1-1-1-1-111112i−2i2i−2i2i2i−2i−2i−i−iii22-2-2-1-1-1-11111−ii−i−iii2i−2i−i−iii000000000000
χ3822-2-2-12-2-11122-2-2-22-11-1-1-1-1111111-1-12-2-1-111-2222-2-211-1-1-1-1-1-11111−2i2i−2i2i−2i−2i2i2iii−i−i22-2-2-1-1-1-11111i−iii−i−i−2i2iii−i−i000000000000
χ3922-2-2-12-2-11122-2-2-22-11-1-1-1-1111111-1-1-2211-1-1-2222-2-211-1-1-1-1-1-111112i−2i2i−2i2i2i−2i−2i−i−iii-2-2221111-1-1-1-1−ii−i−iii−2i2iii−i−i000000000000
χ4022-2-2-12-2-11122-2-2-22-11-1-1-1-1111111-1-1-2211-1-1-2222-2-211-1-1-1-1-1-11111−2i2i−2i2i−2i−2i2i2iii−i−i-2-2221111-1-1-1-1i−iii−i−i2i−2i−i−iii000000000000
χ4122-2-2-12-2-1112-22-2-22-11-1-111-1-11111-1-100−i3i3i3−i3-22-2-22211-1-11111-1-1-1-12i−2i2i−2i−2i−2i2i2i−i−iii0000−i3−i3i3i3i3i3−i3−i3−iiii−i−i003−3−33000000000000
χ4222-2-2-12-2-1112-22-2-22-11-1-111-1-11111-1-100−i3i3i3−i3-22-2-22211-1-11111-1-1-1-1−2i2i−2i2i2i2i−2i−2iii−i−i0000−i3−i3i3i3i3i3−i3−i3i−i−i−iii00−333−3000000000000
χ4322-2-2-12-2-1112-22-2-22-11-1-111-1-11111-1-100i3−i3−i3i3-22-2-22211-1-11111-1-1-1-12i−2i2i−2i−2i−2i2i2i−i−iii0000i3i3−i3−i3−i3−i3i3i3−iiii−i−i00−333−3000000000000
χ4422-2-2-12-2-1112-22-2-22-11-1-111-1-11111-1-100i3−i3−i3i3-22-2-22211-1-11111-1-1-1-1−2i2i−2i2i2i2i−2i−2iii−i−i0000i3i3−i3−i3−i3−i3i3i3i−i−i−iii003−3−33000000000000
χ454444444444-144-1-1-144-1-14444-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ464444444444-144-1-1-144-1-14444-1-1-1-1-1-1-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000000000000000
χ474444444444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-1000000-1-11111-1-1-1-111111111000000000000−55−55−55−55−55−55000000000000000000000000
χ484444444444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-1000000-1-11111-1-1-1-1111111110000000000005−55−55−55−55−55−5000000000000000000000000
χ494444-244-2-2-2-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521−i1521+i1521+i1521−i1521+i15244-2-2-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000000000-1-1-1-11−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i152000000000000000000000000
χ504444-244-2-2-2-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521−i1521+i1521+i1521−i1521+i152-4-42222-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000000000001111−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.