Finite Group Databasebeta

← Group #14286800

Character table — Group #14286800

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444444444444445555888888888888888888888881010101010101616161616161616161616162020202020202020202030303030404040404060606060606060606060120120
order1222344666445881010101212151524242424303030303030444441212121220204040404060606060120120120120120120120120441212121220202020606060606060606044881212242424248888412121212888888888888
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-1-1-1-1-1iii−i−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−i−i−iiii−i−iii−ii
χ51111111111111-1-11111111-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-11111-111-1-1111111-1-1-1-1-1-1
χ61111111111111-1-11111111-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111ii−i−i1-1-111iii−i−i−i−i−iii−ii
χ81111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111−i−iii1-1-111−i−i−iiiiii−i−ii−i
χ91111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-11-1-11111-1-1
χ101111111111-1-1111111111111111111111111-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
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
χ131111111111-1-11-1-11111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-111
χ141111111111-1-11-1-11111111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-111-1111111-1-1
χ151111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111ii−i−i-111-1-1i−i−i−iii−i−iiii−i
χ161111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111−i−iii-111-1-1−iiii−i−iii−i−i−ii
χ1722222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000222200000-200-200000000
χ1822222-2-222200200222-2-2220000222222222200000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000-2-2-2-200000200200000000
χ1922222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-200000000000000002200002i2i−2i−2i00000−2i002i00000000
χ2022222-2-222200200222-2-2220000222222-2-2-2-200000-2-20000-2-2-2-20000000022-2-2-2-20000000000000000220000−2i−2i2i2i000002i00−2i00000000
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
χ232222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-12222-211-1-122-2-2-2-2-1-1-1-11111111122-1-1-1-122-2-2-1-1-1-1111122-2-2-1-111110000-2-1-111000000000000
χ242222-122-1-1-1222-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-211-1-122-2-2-2-2-1-1-1-111111111-2-2111122-2-2-1-1-1-11111-2-22211-1-1-1-10000211-1-1000000000000
χ252222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-21111222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-222-1-1-1-1-1-10000-21111000000000000
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
χ272222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-122222-1-11122-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2-1-111110000211-1-1000000000000
χ282222-122-1-1-1-2-22-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-22-1-11122-2-2-2-2-1-1-1-111111111-2-21111-2-2221111-1-1-1-1222211-1-1-1-10000-2-1-111000000000000
χ2922-2-22002-2-20022−22-2-2002222−2−222-2-2-2-222-2-2000000022−2−200002222−2−2−2−20022-2-2000000000000002−20022−2−22-22-2000000000002−22−200
χ3022-2-22002-2-20022−22-2-2002222−2−222-2-2-2-222-2-2000000022−2−200002222−2−2−2−20022-2-2000000000000002−20022−2−2-22-2200000000000−22−2200
χ3122-2-22002-2-20022−22-2-2002222−2−222-2-2-2-2-2-222000000022−2−200002222−2−2−2−200-2-22200000000000000−2200−2−2222i−2i−2i2i00000000000i2−i2−i2i200
χ3222-2-22002-2-20022−22-2-2002222−2−222-2-2-2-2-2-222000000022−2−200002222−2−2−2−200-2-22200000000000000−2200−2−222−2i2i2i−2i00000000000−i2i2i2−i200
χ3322-2-22002-2-2002−222-2-20022−2−22222-2-2-2-222-2-20000000−2−2220000−2−2−2−222220022-2-200000000000000−2200−2−2222-22-200000000000−22−2200
χ3422-2-22002-2-2002−222-2-20022−2−22222-2-2-2-222-2-20000000−2−2220000−2−2−2−222220022-2-200000000000000−2200−2−222-22-22000000000002−22−200
χ3522-2-22002-2-2002−222-2-20022−2−22222-2-2-2-2-2-2220000000−2−2220000−2−2−2−2222200-2-222000000000000002−20022−2−22i−2i−2i2i00000000000−i2i2i2−i200
χ3622-2-22002-2-2002−222-2-20022−2−22222-2-2-2-2-2-2220000000−2−2220000−2−2−2−2222200-2-222000000000000002−20022−2−2−2i2i2i−2i00000000000i2−i2−i2i200
χ372-22-222-2-22-200200-2-222-2220000-2-2-2-2222i−2i2i−2i00000-220000-2-222000000002i−2i2i−2i2i−2i00000000000000002i−2i00000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10902ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000
χ382-22-222-2-22-200200-2-222-2220000-2-2-2-2222i−2i2i−2i00000-220000-2-222000000002i−2i2i−2i2i−2i00000000000000002i−2i000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000
χ392-22-222-2-22-200200-2-222-2220000-2-2-2-222−2i2i−2i2i00000-220000-2-22200000000−2i2i−2i2i−2i2i0000000000000000−2i2i000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000
χ402-22-222-2-22-200200-2-222-2220000-2-2-2-222−2i2i−2i2i00000-220000-2-22200000000−2i2i−2i2i−2i2i0000000000000000−2i2i00000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11902ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
χ412-22-22-22-22-22i−2i200-2-22-22220000-2-2-2-2222i−2i2i−2i0002i−2i2-2000022-2-200000000−2i2i2i−2i2i−2i2i−2i002i2i−2i−2i00002-200−2i2i0000000002-200000000000000
χ422-22-22-22-22-22i−2i200-2-22-22220000-2-2-2-222−2i2i−2i2i0002i−2i2-2000022-2-2000000002i−2i−2i2i−2i2i2i−2i002i2i−2i−2i0000-22002i−2i000000000-2200000000000000
χ432-22-22-22-22-2−2i2i200-2-22-22220000-2-2-2-2222i−2i2i−2i000−2i2i2-2000022-2-200000000−2i2i2i−2i2i−2i−2i2i00−2i−2i2i2i0000-2200−2i2i000000000-2200000000000000
χ442-22-22-22-22-2−2i2i200-2-22-22220000-2-2-2-222−2i2i−2i2i000−2i2i2-2000022-2-2000000002i−2i−2i2i−2i2i−2i2i00−2i−2i2i2i00002-2002i−2i0000000002-200000000000000
χ452-22-2-1-221-112i−2i200-2-221-1-1-13−33−31111-1-12i−2i2i−2i0−i3i3−ii2-20000-1-11133−3−333−3−3−2i2i−ii−ii2i−2i00−i−iii−i3−i3i3i32-200i−i−i3i3−i3i300000-113−3000000000000
χ462-22-2-1-221-112i−2i200-2-221-1-1-13−33−31111-1-1−2i2i−2i2i0−i3i3−ii2-20000-1-11133−3−333−3−32i−2ii−ii−i2i−2i00−i−iii−i3−i3i3i3-2200−iii3−i3i3−i3000001-1−33000000000000
χ472-22-2-1-221-112i−2i200-2-221-1-1-1−33−331111-1-12i−2i2i−2i0i3−i3−ii2-20000-1-111−3−333−3−333−2i2i−ii−ii2i−2i00−i−iiii3i3−i3−i32-200i−ii3−i3i3−i300000-11−33000000000000
χ482-22-2-1-221-112i−2i200-2-221-1-1-1−33−331111-1-1−2i2i−2i2i0i3−i3−ii2-20000-1-111−3−333−3−3332i−2ii−ii−i2i−2i00−i−iiii3i3−i3−i3-2200−ii−i3i3−i3i3000001-13−3000000000000
χ492-22-2-1-221-11−2i2i200-2-221-1-1-13−33−31111-1-12i−2i2i−2i0i3−i3i−i2-20000-1-11133−3−333−3−3−2i2i−ii−ii−2i2i00ii−i−ii3i3−i3−i3-2200i−i−i3i3−i3i3000001-1−33000000000000
χ502-22-2-1-221-11−2i2i200-2-221-1-1-13−33−31111-1-1−2i2i−2i2i0i3−i3i−i2-20000-1-11133−3−333−3−32i−2ii−ii−i−2i2i00ii−i−ii3i3−i3−i32-200−iii3−i3i3−i300000-113−3000000000000
χ512-22-2-1-221-11−2i2i200-2-221-1-1-1−33−331111-1-12i−2i2i−2i0−i3i3i−i2-20000-1-111−3−333−3−333−2i2i−ii−ii−2i2i00ii−i−i−i3−i3i3i3-2200i−ii3−i3i3−i3000001-13−3000000000000
χ522-22-2-1-221-11−2i2i200-2-221-1-1-1−33−331111-1-1−2i2i−2i2i0−i3i3i−i2-20000-1-111−3−333−3−3332i−2ii−ii−i−2i2i00ii−i−i−i3−i3i3i32-200−ii−i3i3−i3i300000-11−33000000000000
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
χ54444444444444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000-4-4-444-1-11111-1-1-1-111111111000000-1-111-1-1-1-111110000000000000000000000000000000
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
χ564444444444-4-4-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000444-4-4-1-11111-1-1-1-11111111100000011-1-11111-1-1-1-10000000000000000000000000000000
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+i1520000-422-2-2-1-111111−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−i1520000-422-2-2-1-111111+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+i15200004-2-222-1-111111−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−i15200004-2-222-1-111111+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
χ6744-4-4-200-22200422−224-4-400-2-2−2−222-2-2222244-4-400000002222−22−220000−2−2−2−2222200-2-2220000000000000022−2200−2−222000000000000000000000
χ6844-4-4-200-22200422−224-4-400-2-2−2−222-2-22222-4-44400000002222−22−220000−2−2−2−222220022-2-200000000000000−22220022−2−2000000000000000000000
χ6944-4-4-200-222004−22224-4-400-2-222−2−2-2-2222244-4-40000000−22−22222200002222−2−2−2−200-2-22200000000000000−22220022−2−2000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.