Finite Group Databasebeta

← Group #14300240

Character table — Group #14300240

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444444444444445555888888888888888888888881010101010101616161616161616161616162020202020202020202030303030404040404060606060606060606060120120
order122234466644588101010121215152424242430303030303044444121212122020404040406060606012012012012012012012012022121212122020202060606060606060602266882424242488884661212444488888888
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-1-1-1-1-1ii−i−iiii−i−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−i−iii−i−i−iiii−ii
χ51111111111111-1-11111111-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1111111-1-1
χ61111111111111-1-11111111-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ71111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111ii−i−i1-1-111−i−iiiiii−i−i−i−ii
χ81111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111−i−iii1-1-111ii−i−i−i−i−iiiii−i
χ91111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111111-1-11-1-1-1-1
χ101111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111
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−i11111ii−i−ii−i−i−iii−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−i−iii−iiii−i−ii−i
χ131111111111-1-11-1-11111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-1-1-1-11-1-11-1-111
χ141111111111-1-11-1-11111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111111-111-111-1-1
χ151111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111ii−i−i-111-1-1−i−iiii−i−i−iiii−i
χ161111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111−i−iii-111-1-1ii−i−i−iiii−i−i−ii
χ1722222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-2222200000000000000-2-20000002222000000000-200-20000
χ1822222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-2222200000000000000-2-2000000-2-2-2-200000000020020000
χ1922222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-200000000000000220000002i2i−2i−2i000000000−2i002i0000
χ2022222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-20000000000000022000000−2i−2i2i2i0000000002i00−2i0000
χ212222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-100002-1-1-1-1000000000000
χ222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-211-2-211110000-21111000000000000
χ232222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-12222-211-1-122-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2221111-1-1-1-122-1-1-2-211110000-2-1-111000000000000
χ242222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-211-1-122-2-2-2-2-1-1-1-111111111-2-21111-2-2221111-1-1-1-1-2-21122-1-1-1-10000211-1-1000000000000
χ252222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-21111222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-1-122-1-1-1-10000-21111000000000000
χ262222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2111111112211-2-2111100002-1-1-1-1000000000000
χ272222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-122222-1-11122-2-2-2-2-1-1-1-11111111122-1-1-1-122-2-2-1-1-1-11111-2-2-1-1-2-211110000211-1-1000000000000
χ282222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-22-1-11122-2-2-2-2-1-1-1-111111111-2-2111122-2-2-1-1-1-11111221122-1-1-1-10000-2-1-111000000000000
χ292-22-222-2-22-22-2200-2-222-2220000-2-2-2-22222-2-20002-22-2000022-2-2000000002-222-2-2002-2000022-2-22-22-2000000000002-200000000000000
χ302-22-222-2-22-22-2200-2-222-2220000-2-2-2-222-2-2220002-22-2000022-2-200000000-22-2-222002-2000022-2-2-22-2200000000000-2200000000000000
χ312-22-222-2-22-2-22200-2-222-2220000-2-2-2-22222-2-2000-222-2000022-2-2000000002-222-2-200-220000-2-222-222-200000000000-2200000000000000
χ322-22-222-2-22-2-22200-2-222-2220000-2-2-2-222-2-222000-222-2000022-2-200000000-22-2-22200-220000-2-2222-2-22000000000002-200000000000000
χ332-22-22-22-22-200200-2-22-22220000-2-2-2-22222-2-200000-220000-2-22200000000-2222-2-200000000000000-22000000000000000000002i−2i02i−2i00
χ342-22-22-22-22-200200-2-22-22220000-2-2-2-22222-2-200000-220000-2-22200000000-2222-2-200000000000000-2200000000000000000000−2i2i0−2i2i00
χ352-22-22-22-22-200200-2-22-22220000-2-2-2-222-2-22200000-220000-2-222000000002-2-2-222000000000000002-2000000000000000000002-20-2200
χ362-22-22-22-22-200200-2-22-22220000-2-2-2-222-2-22200000-220000-2-222000000002-2-2-222000000000000002-200000000000000000000-2202-200
χ372-22-2-12-21-112-2200-2-22-11-1-133−3−31111-1-122-2-203−3-112-20000-1-1113333−3−3−3−32-2-1-111002-233−3−3-1-1112-2-110033−3−300000-113−3000000000000
χ382-22-2-12-21-112-2200-2-22-11-1-133−3−31111-1-1-2-22203−3-112-20000-1-1113333−3−3−3−3-2211-1-1002-233−3−3-1-111-221-100−3−333000001-1−33000000000000
χ392-22-2-12-21-112-2200-2-22-11-1-1−3−3331111-1-122-2-20−33-112-20000-1-111−3−3−3−333332-2-1-111002-2−3−333-1-1112-2-1100−3−33300000-11−33000000000000
χ402-22-2-12-21-112-2200-2-22-11-1-1−3−3331111-1-1-2-2220−33-112-20000-1-111−3−3−3−33333-2211-1-1002-2−3−333-1-111-221-10033−3−3000001-13−3000000000000
χ412-22-2-12-21-11-22200-2-22-11-1-133−3−31111-1-122-2-20−331-12-20000-1-1113333−3−3−3−32-2-1-11100-22−3−33311-1-1-22-110033−3−3000001-1−33000000000000
χ422-22-2-12-21-11-22200-2-22-11-1-133−3−31111-1-1-2-2220−331-12-20000-1-1113333−3−3−3−3-2211-1-100-22−3−33311-1-12-21-100−3−33300000-113−3000000000000
χ432-22-2-12-21-11-22200-2-22-11-1-1−3−3331111-1-122-2-203−31-12-20000-1-111−3−3−3−333332-2-1-11100-2233−3−311-1-1-22-1100−3−333000001-13−3000000000000
χ442-22-2-12-21-11-22200-2-22-11-1-1−3−3331111-1-1-2-22203−31-12-20000-1-111−3−3−3−33333-2211-1-100-2233−3−311-1-12-21-10033−3−300000-11−33000000000000
χ452-2-22200-2-220022−22-2-200222−22−222-2-2-2-22i−2i2i−2i000000022−2−2000022−2−222−2−2002i−2i2i−2i0000000000000000−i2i2−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+2ζ109000001+i−1−i1−i−1+i00000000
χ462-2-22200-2-220022−22-2-200222−22−222-2-2-2-22i−2i2i−2i000000022−2−2000022−2−222−2−2002i−2i2i−2i0000000000000000−i2i2−i2i2−i2i2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000−1−i1+i−1+i1−i00000000
χ472-2-22200-2-220022−22-2-200222−22−222-2-2-2-2−2i2i−2i2i000000022−2−2000022−2−222−2−200−2i2i−2i2i0000000000000000i2−i2i2−i2i2−i2−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000001−i−1+i1+i−1−i00000000
χ482-2-22200-2-220022−22-2-200222−22−222-2-2-2-2−2i2i−2i2i000000022−2−2000022−2−222−2−200−2i2i−2i2i0000000000000000i2−i2i2−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+2ζ11900000−1+i1−i−1−i1+i00000000
χ492-2-22200-2-22002−222-2-20022−22−2222-2-2-2-22i−2i2i−2i0000000−2−2220000−2−222−2−222002i−2i2i−2i0000000000000000i2−i2i2−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+2ζ10900000−1−i1+i−1+i1−i00000000
χ502-2-22200-2-22002−222-2-20022−22−2222-2-2-2-22i−2i2i−2i0000000−2−2220000−2−222−2−222002i−2i2i−2i0000000000000000i2−i2i2−i2i2−i2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000001+i−1−i1−i−1+i00000000
χ512-2-22200-2-22002−222-2-20022−22−2222-2-2-2-2−2i2i−2i2i0000000−2−2220000−2−222−2−22200−2i2i−2i2i0000000000000000−i2i2−i2i2−i2i2−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000−1+i1−i−1−i1+i00000000
χ522-2-22200-2-22002−222-2-20022−22−2222-2-2-2-2−2i2i−2i2i0000000−2−2220000−2−222−2−22200−2i2i−2i2i0000000000000000−i2i2−i2i2−i2i22ζ13+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+2ζ119000001−i−1+i1+i−1−i00000000
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
χ54444444444444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000-4-4-444-1-11111-1-1-1-11111111100000011-1-11111-1-1-1-10000000000000000000000000000000
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
χ564444444444-4-4-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000444-4-4-1-11111-1-1-1-111111111000000-1-111-1-1-1-111110000000000000000000000000000000
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+i1520000-422-2-2-1-111111−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
χ604444-244-2-2-244-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521−i1521+i1521−i1520000-422-2-2-1-111111+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
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+i15200004-2-222-1-111111−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
χ644444-244-2-2-2-4-4-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521−i1521+i1521−i15200004-2-222-1-111111+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
χ654444-2-4-4-2-2-20040044422-2-20000-2-2-2-2-2-2444400000-4-40000222200000000-4-4-2-2-2-20000000000000022000000000000000000000000000
χ664444-2-4-4-2-2-20040044422-2-20000-2-2-2-2-2-2-4-4-4-400000-4-4000022220000000044222200000000000000-2-2000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.