Finite Group Databasebeta

← Group #14287393

Character table — Group #14287393

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444555588888888888888888888881010101010101010101020202020202024243030303030303030303030303030303040404040404040404040404048484848120120
order1222344666888851010101212242424244444152020303030404040406060606012012012012012012012012044888812121212121224242424248888888888888888888824242424242424241010202044
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−i1111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii1111-1-1
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii-1-1-1-111
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iiiii−i−i−i−i-1-1-1-111
χ91111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-11-1
χ111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-11
χ121111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111-11
χ131111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii11-1-1-11
χ141111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i11-1-1-11
χ151111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-1-1111-1
χ161111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-1-1111-1
χ1722222-2-222200002222-2-2000022222-2-22220000-2-2-2-200000000-2-200002222-2-200000022-2-222-2-200000000000000000000000000
χ1822222-2-222200002222-2-2000022222-2-22220000-2-2-2-200000000-2-200002222-2-2000000-2-222-2-22200000000000000000000000000
χ1922222-2-222200002222-2-20000-2-2-2-22-2-22220000-2-2-2-200000000220000-2-2-2-2220000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ2022222-2-222200002222-2-20000-2-2-2-22-2-22220000-2-2-2-200000000220000-2-2-2-222000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ212222-122-1-1-122222222-1-1-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-1000000
χ222222-122-1-1-122222222-1-1-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-211111111000000
χ232222-122-1-1-122222222-1-1-1-1-1-1-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111110000000000000000002i2i−2i−2i−i−i−i−iiiii000000
χ242222-122-1-1-122222222-1-1-1-1-1-1-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111000000000000000000−2i−2i2i2iiiii−i−i−i−i000000
χ252222-122-1-1-1-2-2-2-22222-1-111112222-122-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-111110000000000000000002-22-2-1-111-1-111000000
χ262222-122-1-1-1-2-2-2-22222-1-111112222-122-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-11111000000000000000000-22-2211-1-111-1-1000000
χ272222-122-1-1-1-2-2-2-22222-1-11111-2-2-2-2-122-1-1-1-2-2-2-2-1-1-1-111111111-2-22222111111-1-1-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i000000
χ282222-122-1-1-1-2-2-2-22222-1-11111-2-2-2-2-122-1-1-1-2-2-2-2-1-1-1-111111111-2-22222111111-1-1-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii000000
χ2922-2-222-22-2-222-2-22-2-222-222-2-22i2i−2i−2i2-22-2-2222-2-2-2-2222222-2-2-2-22i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ3022-2-222-22-2-222-2-22-2-222-222-2-2−2i−2i2i2i2-22-2-2222-2-2-2-2222222-2-2-2-2−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ3122-2-222-22-2-2-2-2222-2-222-2-2-2222i2i−2i−2i2-22-2-22-2-222-2-222-2-2-2-222222i−2i−2i−2i2i2i2i2i−2i−2i2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ3222-2-222-22-2-2-2-2222-2-222-2-2-222−2i−2i2i2i2-22-2-22-2-222-2-222-2-2-2-22222−2i2i2i2i−2i−2i−2i−2i2i2i−2i2i2i2i−2i−2i000000000000000000000000000000000000
χ3322-2-22-222-2-200002-2-22-2200002i2i−2i−2i22-2-2-22000022-2-200000000−2i2i00002i2i−2i−2i−2i2i00000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000000000
χ3422-2-22-222-2-200002-2-22-2200002i2i−2i−2i22-2-2-22000022-2-200000000−2i2i00002i2i−2i−2i−2i2i000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000000000000000
χ3522-2-22-222-2-200002-2-22-220000−2i−2i2i2i22-2-2-22000022-2-2000000002i−2i0000−2i−2i2i2i2i−2i000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000000000000000
χ3622-2-22-222-2-200002-2-22-220000−2i−2i2i2i22-2-2-22000022-2-2000000002i−2i0000−2i−2i2i2i2i−2i00000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000000000000
χ3722-2-2-12-2-11122-2-22-2-22-11-1-1112i2i−2i−2i-1-2211-122-2-211-1-1-1-1-1-111112i−2i2i2i−2i−2i−i−iii−ii−i−iii0000000000000000000000ζ13−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+ζ119000000
χ3822-2-2-12-2-11122-2-22-2-22-11-1-1112i2i−2i−2i-1-2211-122-2-211-1-1-1-1-1-111112i−2i2i2i−2i−2i−i−iii−ii−i−iii0000000000000000000000−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−ζ119000000
χ3922-2-2-12-2-11122-2-22-2-22-11-1-111−2i−2i2i2i-1-2211-122-2-211-1-1-1-1-1-11111−2i2i−2i−2i2i2iii−i−ii−iii−i−i0000000000000000000000ζ7−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−ζ109000000
χ4022-2-2-12-2-11122-2-22-2-22-11-1-111−2i−2i2i2i-1-2211-122-2-211-1-1-1-1-1-11111−2i2i−2i−2i2i2iii−i−ii−iii−i−i0000000000000000000000−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+ζ109000000
χ4122-2-2-12-2-111-2-2222-2-22-1111-1-12i2i−2i−2i-1-2211-1-2-22211-1-11111-1-1-1-12i−2i−2i−2i2i2i−i−iii−iiii−i−i0000000000000000000000ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−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−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000
χ4222-2-2-12-2-111-2-2222-2-22-1111-1-12i2i−2i−2i-1-2211-1-2-22211-1-11111-1-1-1-12i−2i−2i−2i2i2i−i−iii−iiii−i−i0000000000000000000000−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−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−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000
χ4322-2-2-12-2-111-2-2222-2-22-1111-1-1−2i−2i2i2i-1-2211-1-2-22211-1-11111-1-1-1-1−2i2i2i2i−2i−2iii−i−ii−i−i−iii0000000000000000000000ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−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−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000
χ4422-2-2-12-2-111-2-2222-2-22-1111-1-1−2i−2i2i2i-1-2211-1-2-22211-1-11111-1-1-1-1−2i2i2i2i−2i−2iii−i−ii−i−i−iii0000000000000000000000−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−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+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000
χ452-22-2200-22-2−i2i2−i2i222-2-200−i2i2−i2i22-22-22002-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200−i2i2−i2i22-22-200−i2i2−i2i200002i−2i002i−2i2−22−22−22−2000000000000000000
χ462-22-2200-22-2−i2i2−i2i222-2-200−i2i2−i2i22-22-22002-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200−i2i2−i2i22-22-200−i2i2−i2i20000−2i2i00−2i2i−22−22−22−22000000000000000000
χ472-22-2200-22-2−i2i2−i2i222-2-200−i2i2−i2i2-22-222002-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200i2−i2i2−i2-22-2200i2−i2i2−i200002-200-22−i2i2−i2i2i2−i2i2−i2000000000000000000
χ482-22-2200-22-2−i2i2−i2i222-2-200−i2i2−i2i2-22-222002-2-2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200i2−i2i2−i2-22-2200i2−i2i2−i20000-22002-2i2−i2i2−i2−i2i2−i2i2000000000000000000
χ492-22-2200-22-2i2−i2i2−i222-2-200i2−i2i2−i22-22-22002-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200i2−i2i2−i22-22-200i2−i2i2−i200002i−2i002i−2i−22−22−22−22000000000000000000
χ502-22-2200-22-2i2−i2i2−i222-2-200i2−i2i2−i22-22-22002-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200i2−i2i2−i22-22-200i2−i2i2−i20000−2i2i00−2i2i2−22−22−22−2000000000000000000
χ512-22-2200-22-2i2−i2i2−i222-2-200i2−i2i2−i2-22-222002-2-2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200−i2i2−i2i2-22-2200−i2i2−i2i200002-200-22i2−i2i2−i2−i2i2−i2i2000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.