Finite Group Databasebeta

← Group #14286513

Character table — Group #14286513

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444444444444445555888888888888888888888881010101010101616161616161616161616162020202020202020202030303030404040404060606060606060606060120120
order122234466622588101010121215152424242430303030303044444661212202040404040606060601201201201201201201201204412121212101020203030303060606060448812122424242488882661212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1i−iii−i−iii−i−ii−i
χ411111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1−ii−i−iii−i−iii−ii
χ51111111111111-1-11111111-1-1-1-11111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-111111111-1-1-1-1-1-1
χ61111111111111-1-11111111-1-1-1-11111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ71111111111111-1-11111111-1-1-1-1111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111ii−i−i111-1-1i−iii−i−i−i−iii−ii
χ81111111111111-1-11111111-1-1-1-1111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111−i−iii111-1-1−ii−i−iiiii−i−ii−i
χ91111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-11111-1-1
χ101111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1ii−i−i11111i−i−i−iiiii−i−i−ii
χ121111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1−i−iii11111−iiii−i−i−i−iiii−i
χ131111111111-1-11-1-11111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111
χ141111111111-1-11-1-11111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1
χ151111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111ii−i−i-1-1-111i−i−i−iii−i−iiii−i
χ161111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111−i−iii-1-1-111−iiii−i−iii−i−i−ii
χ1722222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000222200000-2-20000000000
χ1822222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000-2-2-2-200000220000000000
χ1922222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-200000000000000002200002i2i−2i−2i00000−2i2i0000000000
χ2022222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-20000000000000000220000−2i−2i2i2i000002i−2i0000000000
χ212222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-100002-1-1-1-1000000000000
χ222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2-2-21111110000-21111000000000000
χ232222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-12222-2-1-11122-2-2-2-2-1-1-1-11111111122-1-1-1-122-2-2-1-1-1-1111122-2-2-1-111110000-211-1-1000000000000
χ242222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-2-1-11122-2-2-2-2-1-1-1-111111111-2-2111122-2-2-1-1-1-11111-2-22211-1-1-1-100002-1-111000000000000
χ252222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-21111222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-222-1-1-1-1-1-10000-21111000000000000
χ262222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-2-211111100002-1-1-1-1000000000000
χ272222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-12222211-1-122-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2-1-1111100002-1-111000000000000
χ282222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2211-1-122-2-2-2-2-1-1-1-111111111-2-21111-2-2221111-1-1-1-1222211-1-1-1-10000-211-1-1000000000000
χ2922-2-222-22-2-200200-22-22-2220000-2-222-2-22i−2i2i−2i00000-220000-2-222000000002i−2i2i2i−2i−2i00000000000000002i−2i0000000000000002ζ7+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+2ζ109000000
χ3022-2-222-22-2-200200-22-22-2220000-2-222-2-22i−2i2i−2i00000-220000-2-222000000002i−2i2i2i−2i−2i00000000000000002i−2i000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
χ3122-2-222-22-2-200200-22-22-2220000-2-222-2-2−2i2i−2i2i00000-220000-2-22200000000−2i2i−2i−2i2i2i0000000000000000−2i2i000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000
χ3222-2-222-22-2-200200-22-22-2220000-2-222-2-2−2i2i−2i2i00000-220000-2-22200000000−2i2i−2i−2i2i2i0000000000000000−2i2i0000000000000002ζ13+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+2ζ119000000
χ3322-2-22-222-2-22-2200-22-2-22220000-2-222-2-22i−2i2i−2i02-2002-2000022-2-200000000−2i2i2i2i−2i−2i2-20022-2-200002i−2i00−2i2i000000000002i−2i000000000000
χ3422-2-22-222-2-22-2200-22-2-22220000-2-222-2-2−2i2i−2i2i02-2002-2000022-2-2000000002i−2i−2i−2i2i2i2-20022-2-20000−2i2i002i−2i00000000000−2i2i000000000000
χ3522-2-22-222-2-2-22200-22-2-22220000-2-222-2-22i−2i2i−2i0-22002-2000022-2-200000000−2i2i2i2i−2i−2i-2200-2-2220000−2i2i00−2i2i00000000000−2i2i000000000000
χ3622-2-22-222-2-2-22200-22-2-22220000-2-222-2-2−2i2i−2i2i0-22002-2000022-2-2000000002i−2i−2i−2i2i2i-2200-2-22200002i−2i002i−2i000000000002i−2i000000000000
χ3722-2-2-1-22-1112-2200-22-21-1-1-133−3−311-1-1112i−2i2i−2i0-113−32-20000-1-1113333−3−3−3−3−2i2i−i−iii2-200-1-11133−3−32i−2i00i−i−i3−i3i3i300000−i3i3−ii000000000000
χ3822-2-2-1-22-1112-2200-22-21-1-1-133−3−311-1-111−2i2i−2i2i0-113−32-20000-1-1113333−3−3−3−32i−2iii−i−i2-200-1-11133−3−3−2i2i00−iii3i3−i3−i300000i3−i3i−i000000000000
χ3922-2-2-1-22-1112-2200-22-21-1-1-1−3−33311-1-1112i−2i2i−2i0-11−332-20000-1-111−3−3−3−33333−2i2i−i−iii2-200-1-111−3−3332i−2i00i−ii3i3−i3−i300000i3−i3−ii000000000000
χ4022-2-2-1-22-1112-2200-22-21-1-1-1−3−33311-1-111−2i2i−2i2i0-11−332-20000-1-111−3−3−3−333332i−2iii−i−i2-200-1-111−3−333−2i2i00−ii−i3−i3i3i300000−i3i3i−i000000000000
χ4122-2-2-1-22-111-22200-22-21-1-1-133−3−311-1-1112i−2i2i−2i01-1−332-20000-1-1113333−3−3−3−3−2i2i−i−iii-220011-1-1−3−333−2i2i00i−i−i3−i3i3i300000i3−i3i−i000000000000
χ4222-2-2-1-22-111-22200-22-21-1-1-133−3−311-1-111−2i2i−2i2i01-1−332-20000-1-1113333−3−3−3−32i−2iii−i−i-220011-1-1−3−3332i−2i00−iii3i3−i3−i300000−i3i3−ii000000000000
χ4322-2-2-1-22-111-22200-22-21-1-1-1−3−33311-1-1112i−2i2i−2i01-13−32-20000-1-111−3−3−3−33333−2i2i−i−iii-220011-1-133−3−3−2i2i00i−ii3i3−i3−i300000−i3i3i−i000000000000
χ4422-2-2-1-22-111-22200-22-21-1-1-1−3−33311-1-111−2i2i−2i2i01-13−32-20000-1-111−3−3−3−333332i−2iii−i−i-220011-1-133−3−32i−2i00−ii−i3−i3i3i300000i3−i3−ii000000000000
χ452-2-22200-2-220022−2-2-2200222−22−2-2-2-2-22222-2-2000000022−2−2000022−2−222−2−2002-22-2000000000000002−2002−22−22i−2i2i−2i00000000000−i2i2−i2i200
χ462-2-22200-2-220022−2-2-2200222−22−2-2-2-2-22222-2-2000000022−2−2000022−2−222−2−2002-22-2000000000000002−2002−22−2−2i2i−2i2i00000000000i2−i2i2−i200
χ472-2-22200-2-220022−2-2-2200222−22−2-2-2-2-222-2-222000000022−2−2000022−2−222−2−200-22-2200000000000000−2200−22−222-2-2200000000000−222−200
χ482-2-22200-2-220022−2-2-2200222−22−2-2-2-2-222-2-222000000022−2−2000022−2−222−2−200-22-2200000000000000−2200−22−22-222-2000000000002−2−2200
χ492-2-22200-2-22002−22-2-220022−22−22-2-2-2-22222-2-20000000−2−2220000−2−222−2−222002-22-200000000000000−2200−22−222i−2i2i−2i00000000000i2−i2i2−i200
χ502-2-22200-2-22002−22-2-220022−22−22-2-2-2-22222-2-20000000−2−2220000−2−222−2−222002-22-200000000000000−2200−22−22−2i2i−2i2i00000000000−i2i2−i2i200
χ512-2-22200-2-22002−22-2-220022−22−22-2-2-2-222-2-2220000000−2−2220000−2−222−2−22200-22-22000000000000002−2002−22−22-2-22000000000002−2−2200
χ522-2-22200-2-22002−22-2-220022−22−22-2-2-2-222-2-2220000000−2−2220000−2−222−2−22200-22-22000000000000002−2002−22−2-222-200000000000−222−200
χ53444444444444-144-1-1-144-1-14444-1-1-1-1-1-1000044444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000
χ54444444444444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000-444-4-4-1-11111-1-1-1-111111111000000-1-111-1-1-1-111110000000000000000000000000000000
χ554444444444-4-4-144-1-1-144-1-14444-1-1-1-1-1-10000-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000001111111111110000000000000000000000000000000
χ564444444444-4-4-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-100004-4-444-1-11111-1-1-1-11111111100000011-1-11111-1-1-1-10000000000000000000000000000000
χ574444-244-2-2-244-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i15200004-2-2-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000000000000000000000000000000
χ584444-244-2-2-244-144-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i15200004-2-2-2-2-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000000000000000000000000000000
χ594444-244-2-2-244-1-4-4-1-1-1-2-21−i1521+i15222221−i1521+i1521−i1521+i1521−i1521+i1520000-4-2-222-1-111111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000
χ604444-244-2-2-244-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521−i1521+i1521−i1520000-4-2-222-1-111111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000
χ614444-244-2-2-2-4-4-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1520000-42222-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000
χ624444-244-2-2-2-4-4-144-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1520000-42222-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000
χ634444-244-2-2-2-4-4-1-4-4-1-1-1-2-21−i1521+i15222221−i1521+i1521−i1521+i1521−i1521+i1520000422-2-2-1-111111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i1520000000000000000000000000000000
χ644444-244-2-2-2-4-4-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521−i1521+i1521−i1520000422-2-2-1-111111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i1520000000000000000000000000000000
χ654444-2-4-4-2-2-20040044422-2-20000-2-2-2-2-2-2444400000-4-40000222200000000-4-4-2-2-2-20000000000000000220000000000000000000000000
χ664444-2-4-4-2-2-20040044422-2-20000-2-2-2-2-2-2-4-4-4-400000-4-400002222000000004422220000000000000000-2-20000000000000000000000000
χ6744-4-44-444-4-44-4-1001-11-44-1-1000011-1-111000004-400-11−i5i5−i5i5-1-111−i5i5−i5i5i5−i5i5−i5000000-11−i5i5-1-111−i5i5i5−i50000000000000000000000000000000
χ6844-4-44-444-4-44-4-1001-11-44-1-1000011-1-111000004-400-11i5−i5i5−i5-1-111i5−i5i5−i5−i5i5−i5i5000000-11i5−i5-1-111i5−i5−i5i50000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.