Finite Group Databasebeta

← Group #14282505

Character table — Group #14282505

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222224444444444555588888888888888888888881010101010101010101020202020202024243030303030303030303030303030303040404040404040404040404048484848120120
order122234444446665101010121212121212444415202020202020303030606060606060606060606060224444121212126612121212248888888888888888888824242424242424241010202044
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
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111iiiiiiii−i−i−i−i−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−i−i−i−i−iiiiiiiii−i−iii−i−i−i−iiiii1111-1-1
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−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−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−i−i-1-1-1-111
χ91111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-1
χ101111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-11-1
χ111111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-11
χ121111111-1-1-1-1111111111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-111-11
χ131111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1iiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii11-1-1-11
χ141111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i11-1-1-11
χ151111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11iiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-1-1111-1
χ161111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-1-1111-1
χ1722222-2-222-2-22222222-2-222-2-22222222-2-2-2-2222-2-2-2-22222-2-2-2-222-2-2-2-2222222-2-2-2-2000000000000000000000000000000000000
χ1822222-2-222-2-22222222-2-222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-2-22222000000000000000000000000000000000000
χ1922222-2-2-2-2222222222-2-2-2-22222222-2-222-2-2222-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-222000000000000000000000000000000000000
χ2022222-2-2-2-2222222222-2-2-2-222-2-2-2-22-2-222-2-2222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-22222-2-2000000000000000000000000000000000000
χ212222-1222222-1-1-12222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-1000000
χ222222-1222222-1-1-12222-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-211111111000000
χ232222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111110000000000000000002i2i−2i−2i−i−i−i−iiiii000000
χ242222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111000000000000000000−2i−2i2i2iiiii−i−i−i−i000000
χ252222-122-2-2-2-2-1-1-12222-1-111112222-1-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-111-1-1110000000000000000002-22-2-1-111-1-111000000
χ262222-122-2-2-2-2-1-1-12222-1-111112222-1-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-111-1-111000000000000000000-22-2211-1-111-1-1000000
χ272222-122-2-2-2-2-1-1-12222-1-11111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-1111111112222-2-21111-1-111-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i000000
χ282222-122-2-2-2-2-1-1-12222-1-11111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-1111111112222-2-21111-1-111-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii000000
χ292222-1-2-222-2-2-1-1-1222211-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-2-1-1-1-1-1-111110000000000000000000000−i3i3−i3i3−i3i3−i3i3000000
χ302222-1-2-222-2-2-1-1-1222211-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-1111122-2-2-2-2-1-1-1-1-1-111110000000000000000000000i3−i3i3−i3i3−i3i3−i3000000
χ312222-1-2-222-2-2-1-1-1222211-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111-2-22222111111-1-1-1-100000000000000000000003−33−3−33−33000000
χ322222-1-2-222-2-2-1-1-1222211-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111-2-22222111111-1-1-1-10000000000000000000000−33−333−33−3000000
χ332222-1-2-2-2-222-1-1-122221111-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222-2-2-1-1-1-11111-1-10000000000000000000000−i3i3i3−i3−i3i3i3−i3000000
χ342222-1-2-2-2-222-1-1-122221111-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222-2-2-1-1-1-11111-1-10000000000000000000000i3−i3−i3i3i3−i3−i3i3000000
χ352222-1-2-2-2-222-1-1-122221111-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2221111-1-1-1-11100000000000000000000003−3−33−333−3000000
χ362222-1-2-2-2-222-1-1-122221111-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2221111-1-1-1-1110000000000000000000000−333−33−3−33000000
χ3722-2-222-200002-2-22-2-222-200002i2i−2i−2i200002-22-2-222-2-20000000000002i−2i2i2i−2i−2i002i−2i00000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+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
χ3822-2-222-200002-2-22-2-222-200002i2i−2i−2i200002-22-2-222-2-20000000000002i−2i2i2i−2i−2i002i−2i000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000000000000000
χ3922-2-222-200002-2-22-2-222-20000−2i−2i2i2i200002-22-2-222-2-2000000000000−2i2i−2i−2i2i2i00−2i2i000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000000000000000
χ4022-2-222-200002-2-22-2-222-20000−2i−2i2i2i200002-22-2-222-2-2000000000000−2i2i−2i−2i2i2i00−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+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
χ4122-2-22-2200002-2-22-2-22-2200002i2i−2i−2i20000-222-2-2-2-222000000000000−2i2i2i2i−2i−2i00−2i2i0000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000000000000000
χ4222-2-22-2200002-2-22-2-22-2200002i2i−2i−2i20000-222-2-2-2-222000000000000−2i2i2i2i−2i−2i00−2i2i00002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000000000000000000000
χ4322-2-22-2200002-2-22-2-22-220000−2i−2i2i2i20000-222-2-2-2-2220000000000002i−2i−2i−2i2i2i002i−2i00002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000000000000000000000
χ4422-2-22-2200002-2-22-2-22-220000−2i−2i2i2i20000-222-2-2-2-2220000000000002i−2i−2i−2i2i2i002i−2i0000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000000000
χ452-22-2200002i−2i-22-222-2-200002i−2i2-22-22002i−2i00-22-2000000002i2i−2i−2i002i−2i002-22-200002i−2i002−22−2−i2i2−i2i22−22−2−i2i2−i2i2000000000000000000
χ462-22-2200002i−2i-22-222-2-200002i−2i2-22-22002i−2i00-22-2000000002i2i−2i−2i002i−2i002-22-200002i−2i00−22−22i2−i2i2−i2−22−22i2−i2i2−i2000000000000000000
χ472-22-2200002i−2i-22-222-2-200002i−2i-22-222002i−2i00-22-2000000002i2i−2i−2i00−2i2i00-22-220000−2i2i00−i2i2−i2i2−22−22i2−i2i2−i22−22−2000000000000000000
χ482-22-2200002i−2i-22-222-2-200002i−2i-22-222002i−2i00-22-2000000002i2i−2i−2i00−2i2i00-22-220000−2i2i00i2−i2i2−i22−22−2−i2i2−i2i2−22−22000000000000000000
χ492-22-220000−2i2i-22-222-2-20000−2i2i2-22-2200−2i2i00-22-200000000−2i−2i2i2i00−2i2i002-22-20000−2i2i002−22−2i2−i2i2−i22−22−2i2−i2i2−i2000000000000000000
χ502-22-220000−2i2i-22-222-2-20000−2i2i2-22-2200−2i2i00-22-200000000−2i−2i2i2i00−2i2i002-22-20000−2i2i00−22−22−i2i2−i2i2−22−22−i2i2−i2i2000000000000000000
χ512-22-220000−2i2i-22-222-2-20000−2i2i-22-22200−2i2i00-22-200000000−2i−2i2i2i002i−2i00-22-2200002i−2i00−i2i2−i2i22−22−2i2−i2i2−i2−22−22000000000000000000
χ522-22-220000−2i2i-22-222-2-20000−2i2i-22-22200−2i2i00-22-200000000−2i−2i2i2i002i−2i00-22-2200002i−2i00i2−i2i2−i2−22−22−i2i2−i2i22−22−2000000000000000000
χ532-2-222002i−2i00-2-222-22-2002i−2i002i−2i−2i2i22i−2i0000-2-2200002i2i−2i−2i00002-200002i−2i−2i2i2-20000001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000000000
χ542-2-222002i−2i00-2-222-22-2002i−2i002i−2i−2i2i22i−2i0000-2-2200002i2i−2i−2i00002-200002i−2i−2i2i2-2000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000000000
χ552-2-222002i−2i00-2-222-22-2002i−2i00−2i2i2i−2i22i−2i0000-2-2200002i2i−2i−2i0000-220000−2i2i2i−2i-220000001+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000000000
χ562-2-222002i−2i00-2-222-22-2002i−2i00−2i2i2i−2i22i−2i0000-2-2200002i2i−2i−2i0000-220000−2i2i2i−2i-22000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000000000
χ572-2-22200−2i2i00-2-222-22-200−2i2i002i−2i−2i2i2−2i2i0000-2-220000−2i−2i2i2i0000-2200002i−2i−2i2i-220000001−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000000000
χ582-2-22200−2i2i00-2-222-22-200−2i2i002i−2i−2i2i2−2i2i0000-2-220000−2i−2i2i2i0000-2200002i−2i−2i2i-22000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000000000
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χ978-8-888008i−8i00-8-88-22-22008i−8i000000-2−2i2i000022-20000−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ988-8-88800−8i8i00-8-88-22-2200−8i8i000000-22i−2i000022-200002i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ998-8-88-4008i−8i0044-4-22-2200−4i4i0000001−2i2i0000-1-11−151515−15ii−i−ii15−i15−i15i150000000000000000000000000000000000000000000000000000
χ1008-8-88-4008i−8i0044-4-22-2200−4i4i0000001−2i2i0000-1-1115−15−1515ii−i−i−i15i15i15−i150000000000000000000000000000000000000000000000000000
χ1018-8-88-400−8i8i0044-4-22-22004i−4i00000012i−2i0000-1-11−151515−15−i−iii−i15i15i15−i150000000000000000000000000000000000000000000000000000
χ1028-8-88-400−8i8i0044-4-22-22004i−4i00000012i−2i0000-1-1115−15−1515−i−iiii15−i15−i15i150000000000000000000000000000000000000000000000000000

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