Finite Group Databasebeta

← Group #14287265

Character table — Group #14287265

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444444444444455558888888888888888888888881010101010101010101016161616161616161616161620202020202030303030303030303030303030303030404040404040120120120120
order122234466688885101010121215152424242430303030303044442266662020404040406060606012012012012012012012012044888812121212101010103030303030303030121224242424888888888888888844121212128888
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
χ511111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1ii−i−iii−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−iii−i−iii−i−i−i−iiiii-1-1-1-1-1-1−i−iii
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−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−iii−i−iii−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
χ131111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111ii−i−iii−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−iii−i−iiiiiii−i−i−i−i-11-1-111−iii−i
χ151111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111ii−i−iii−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−iii−i−iiiiiii−i−i−i−i1-111-1-1i−i−ii
χ1722222-2-222200002222-2-22200002222222222000000-2-20000-2-2-2-200000000-2-200002222000000000000-2-200002222-2-2-2-2000000000000000000
χ1822222-2-222200002222-2-22200002222222222000000-2-20000-2-2-2-200000000-2-200002222000000000000-2-20000-2-2-2-22222000000000000000000
χ1922222-2-222200002222-2-2220000222222-2-2-2-2000000-2-20000-2-2-2-200000000220000-2-2-2-20000000000002200002i2i−2i−2i−2i−2i2i2i000000000000000000
χ2022222-2-222200002222-2-2220000222222-2-2-2-2000000-2-20000-2-2-2-200000000220000-2-2-2-2000000000000220000−2i−2i2i2i2i2i−2i−2i000000000000000000
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
χ2922-2-222-22-2-222-2-22-2-222-22222-2-2-2-2-2-2222i−2i2i−2i000000-2222-2-2-2-2222222-2-2-2-22i−2i2i2i−2i−2i2i2i−2i−2i0000000000002i−2i2i2i−2i−2i00000000000000000000000000
χ3022-2-222-22-2-222-2-22-2-222-22222-2-2-2-2-2-222−2i2i−2i2i000000-2222-2-2-2-2222222-2-2-2-2−2i2i−2i−2i2i2i−2i−2i2i2i000000000000−2i2i−2i−2i2i2i00000000000000000000000000
χ3122-2-222-22-2-2-2-2222-2-222-222-2-222-2-2-2-2222i−2i2i−2i000000-22-2-222-2-222-2-2-2-222222i−2i−2i−2i2i2i2i2i−2i−2i0000000000002i−2i−2i−2i2i2i00000000000000000000000000
χ3222-2-222-22-2-2-2-2222-2-222-222-2-222-2-2-2-222−2i2i−2i2i000000-22-2-222-2-222-2-2-2-22222−2i2i2i2i−2i−2i−2i−2i2i2i000000000000−2i2i2i2i−2i−2i00000000000000000000000000
χ3322-2-22-222-2-200002-2-22-22220000-2-2-2-2222i−2i2i−2i0000002-2000022-2-200000000−2i2i00002i2i−2i−2i000000000000−2i2i000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+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+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000
χ3422-2-22-222-2-200002-2-22-22220000-2-2-2-2222i−2i2i−2i0000002-2000022-2-200000000−2i2i00002i2i−2i−2i000000000000−2i2i0000000000002ζ13+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+2ζ1190000000000
χ3522-2-22-222-2-200002-2-22-22220000-2-2-2-222−2i2i−2i2i0000002-2000022-2-2000000002i−2i0000−2i−2i2i2i0000000000002i−2i0000000000002ζ7+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+2ζ1090000000000
χ3622-2-22-222-2-200002-2-22-22220000-2-2-2-222−2i2i−2i2i0000002-2000022-2-2000000002i−2i0000−2i−2i2i2i0000000000002i−2i000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+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+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000
χ3722-2-2-12-2-11122-2-22-2-22-11-1-1-1-1111111-1-12i−2i2i−2i00−i3i3−i3i3-2222-2-211-1-1-1-1-1-111112i−2i2i2i−2i−2i−i−iii0000−i3−i3i3i3−i3−i3i3i3−ii−i−iii0000000000000000003−33−30000
χ3822-2-2-12-2-11122-2-22-2-22-11-1-1-1-1111111-1-12i−2i2i−2i00i3−i3i3−i3-2222-2-211-1-1-1-1-1-111112i−2i2i2i−2i−2i−i−iii0000i3i3−i3−i3i3i3−i3−i3−ii−i−iii000000000000000000−33−330000
χ3922-2-2-12-2-11122-2-22-2-22-11-1-1-1-1111111-1-1−2i2i−2i2i00−i3i3−i3i3-2222-2-211-1-1-1-1-1-11111−2i2i−2i−2i2i2iii−i−i0000−i3−i3i3i3−i3−i3i3i3i−iii−i−i000000000000000000−33−330000
χ4022-2-2-12-2-11122-2-22-2-22-11-1-1-1-1111111-1-1−2i2i−2i2i00i3−i3i3−i3-2222-2-211-1-1-1-1-1-11111−2i2i−2i−2i2i2iii−i−i0000i3i3−i3−i3i3i3−i3−i3i−iii−i−i0000000000000000003−33−30000
χ4122-2-2-12-2-111-2-2222-2-22-11-1-111-1-11111-1-12i−2i2i−2i00−i3i3i3−i3-22-2-22211-1-11111-1-1-1-12i−2i−2i−2i2i2i−i−iii0000−i3−i3i3i3i3i3−i3−i3−iiii−i−i0000000000000000003−3−330000
χ4222-2-2-12-2-111-2-2222-2-22-11-1-111-1-11111-1-12i−2i2i−2i00i3−i3−i3i3-22-2-22211-1-11111-1-1-1-12i−2i−2i−2i2i2i−i−iii0000i3i3−i3−i3−i3−i3i3i3−iiii−i−i000000000000000000−333−30000
χ4322-2-2-12-2-111-2-2222-2-22-11-1-111-1-11111-1-1−2i2i−2i2i00−i3i3i3−i3-22-2-22211-1-11111-1-1-1-1−2i2i2i2i−2i−2iii−i−i0000−i3−i3i3i3i3i3−i3−i3i−i−i−iii000000000000000000−333−30000
χ4422-2-2-12-2-111-2-2222-2-22-11-1-111-1-11111-1-1−2i2i−2i2i00i3−i3−i3i3-22-2-22211-1-11111-1-1-1-1−2i2i2i2i−2i−2iii−i−i0000i3i3−i3−i3−i3−i3i3i3i−i−i−iii0000000000000000003−3−330000
χ452-22-2200-22-22−22−222-2-200222−22−222-2-2-2-22i−2i−2i2i000000002−22−2000022−2−222−2−200−i2i2−i2i22i−2i2i−2i00000000000000−i2i2−i2i22ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ462-22-2200-22-22−22−222-2-200222−22−222-2-2-2-22i−2i−2i2i000000002−22−2000022−2−222−2−200−i2i2−i2i22i−2i2i−2i00000000000000−i2i2−i2i2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ472-22-2200-22-22−22−222-2-200222−22−222-2-2-2-2−2i2i2i−2i000000002−22−2000022−2−222−2−200i2−i2i2−i2−2i2i−2i2i00000000000000i2−i2i2−i2−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ482-22-2200-22-22−22−222-2-200222−22−222-2-2-2-2−2i2i2i−2i000000002−22−2000022−2−222−2−200i2−i2i2−i2−2i2i−2i2i00000000000000i2−i2i2−i22ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ492-22-2200-22-2−22−2222-2-20022−22−2222-2-2-2-22i−2i−2i2i00000000−22−220000−2−222−2−22200i2−i2i2−i22i−2i2i−2i00000000000000i2−i2i2−i22ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ502-22-2200-22-2−22−2222-2-20022−22−2222-2-2-2-22i−2i−2i2i00000000−22−220000−2−222−2−22200i2−i2i2−i22i−2i2i−2i00000000000000i2−i2i2−i2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ512-22-2200-22-2−22−2222-2-20022−22−2222-2-2-2-2−2i2i2i−2i00000000−22−220000−2−222−2−22200−i2i2−i2i2−2i2i−2i2i00000000000000−i2i2−i2i2−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
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χ1138-8-88-40044-4−424242−42-22-22001−i151+i1522−22−2222−1+i15−1−i151−i151+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
χ1148-8-88-40044-4−424242−42-22-22001+i151−i1522−22−2222−1−i15−1+i151+i151−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.