Finite Group Databasebeta

← Group #14296021

Character table — Group #14296021

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222244444444444444444444444455558888888888888888888888101010101010161616161616161616161616202020202020202020202020303030303030303040404040606060606060606060606060
order122234466622445881010101212151524242424303030303030444466121220204040404060606060120120120120120120120120221212121210102020303030306060606044446688242424248888888812121212444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1ii−i−iii−i−iii−i−i
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−iii−i−iii−i−iii
χ5111111111111-1-11-1-11111111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111
χ6111111111111-1-11-1-11111111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111iiii−i−i−i−i11-1-1−i−iii−i−iiiii−i−i
χ8111111111111-1-11-1-11111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111−i−i−i−iiiii11-1-1ii−i−iii−i−i−i−iii
χ91111111111-1-1111-1-11111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1
χ101111111111-1-1111-1-11111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ111111111111-1-1111-1-11111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111iiii−i−i−i−i-1-111−i−iiiii−i−i−i−iii
χ121111111111-1-1111-1-11111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111−i−i−i−iiiii-1-111ii−i−i−i−iiiii−i−i
χ131111111111-1-1-1-1111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ141111111111-1-1-1-1111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ151111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111ii−i−i−i−iii−i−iii
χ161111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−iiiii−i−iii−i−i
χ171-1-1111-1-1-111-1i−i1i−i-11-11-111ii−i−i-1-111-1-111-1-11-1i−i1-1ii−i−i11-1-1iiii−i−i−i−i-1111-1-11-1i−i11-1-1ii−i−ii−i1-11-1i−iii−i−iii−i−iii−i−ii−i1-11-11-11-11-1i−ii−i
χ181-1-1111-1-1-111-1i−i1i−i-11-11-111ii−i−i-1-111-1-111-1-11-1i−i1-1ii−i−i11-1-1iiii−i−i−i−i-1111-1-11-1i−i11-1-1ii−i−ii−i1-11-1i−iii−i−i−i−iii−i−iiii−i1-1-11-11-11-11−ii−ii
χ191-1-1111-1-1-111-1i−i1i−i-11-11-111ii−i−i-1-111-1-1-1-1111-1i−i1-1ii−i−i11-1-1iiii−i−i−i−i1-1-1-1111-1i−i11-1-1ii−i−i−ii-11-11−ii−i−iii11-1-1-1-111−ii-11−iii−i−iii−i1-1-11
χ201-1-1111-1-1-111-1i−i1i−i-11-11-111ii−i−i-1-111-1-1-1-1111-1i−i1-1ii−i−i11-1-1iiii−i−i−i−i1-1-1-1111-1i−i11-1-1ii−i−i−ii-11-11−ii−i−iii-1-11111-1-1−ii-11i−i−iii−i−ii-111-1
χ211-1-1111-1-1-111-1−ii1−ii-11-11-111−i−iii-1-111-1-111-1-11-1−ii1-1−i−iii11-1-1−i−i−i−iiiii-1111-1-11-1−ii11-1-1−i−iii−ii1-11-1−ii−i−iiiii−i−iii−i−i−ii1-1-11-11-11-11i−ii−i
χ221-1-1111-1-1-111-1−ii1−ii-11-11-111−i−iii-1-111-1-111-1-11-1−ii1-1−i−iii11-1-1−i−i−i−iiiii-1111-1-11-1−ii11-1-1−i−iii−ii1-11-1−ii−i−iii−i−iii−i−iii−ii1-11-11-11-11-1−ii−ii
χ231-1-1111-1-1-111-1−ii1−ii-11-11-111−i−iii-1-111-1-1-1-1111-1−ii1-1−i−iii11-1-1−i−i−i−iiiii1-1-1-1111-1−ii11-1-1−i−iiii−i-11-11i−iii−i−i11-1-1-1-111i−i-11i−i−iii−i−ii1-1-11
χ241-1-1111-1-1-111-1−ii1−ii-11-11-111−i−iii-1-111-1-1-1-1111-1−ii1-1−i−iii11-1-1−i−i−i−iiiii1-1-1-1111-1−ii11-1-1−i−iiii−i-11-11i−iii−i−i-1-11111-1-1i−i-11−iii−i−iii−i-111-1
χ251-1-1111-1-1-11-11i−i1−ii-11-11-111−i−iii-1-111-1-111-1-1-11i−i1-1−i−iii11-1-1−i−i−i−iiiii-1111-1-1-11i−i-1-111ii−i−ii−i-111-1−ii−i−iiiii−i−iii−i−ii−i-11-11-111-11-1−ii−ii
χ261-1-1111-1-1-11-11i−i1−ii-11-11-111−i−iii-1-111-1-111-1-1-11i−i1-1−i−iii11-1-1−i−i−i−iiiii-1111-1-1-11i−i-1-111ii−i−ii−i-111-1−ii−i−iii−i−iii−i−iiii−i-111-11-1-11-11i−ii−i
χ271-1-1111-1-1-11-11i−i1−ii-11-11-111−i−iii-1-111-1-1-1-111-11i−i1-1−i−iii11-1-1−i−i−i−iiiii1-1-1-111-11i−i-1-111ii−i−i−ii1-1-11i−iii−i−i11-1-1-1-111−ii1-1i−i−ii−iii−i-111-1
χ281-1-1111-1-1-11-11i−i1−ii-11-11-111−i−iii-1-111-1-1-1-111-11i−i1-1−i−iii11-1-1−i−i−i−iiiii1-1-1-111-11i−i-1-111ii−i−i−ii1-1-11i−iii−i−i-1-11111-1-1−ii1-1−iii−ii−i−ii1-1-11
χ291-1-1111-1-1-11-11−ii1i−i-11-11-111ii−i−i-1-111-1-111-1-1-11−ii1-1ii−i−i11-1-1iiii−i−i−i−i-1111-1-1-11−ii-1-111−i−iii−ii-111-1i−iii−i−iii−i−iii−i−i−ii-111-11-1-11-11−ii−ii
χ301-1-1111-1-1-11-11−ii1i−i-11-11-111ii−i−i-1-111-1-111-1-1-11−ii1-1ii−i−i11-1-1iiii−i−i−i−i-1111-1-1-11−ii-1-111−i−iii−ii-111-1i−iii−i−i−i−iii−i−iii−ii-11-11-111-11-1i−ii−i
χ311-1-1111-1-1-11-11−ii1i−i-11-11-111ii−i−i-1-111-1-1-1-111-11−ii1-1ii−i−i11-1-1iiii−i−i−i−i1-1-1-111-11−ii-1-111−i−iiii−i1-1-11−ii−i−iii11-1-1-1-111i−i1-1−iii−ii−i−ii-111-1
χ321-1-1111-1-1-11-11−ii1i−i-11-11-111ii−i−i-1-111-1-1-1-111-11−ii1-1ii−i−i11-1-1iiii−i−i−i−i1-1-1-111-11−ii-1-111−i−iiii−i1-1-11−ii−i−iii-1-11111-1-1i−i1-1i−i−ii−iii−i1-1-11
χ3322222-2-22220000200222-2-222000022222222220000-2-20000-2-2-2-200000000-2-222220000000000000000-2-20000002-22-22-22-20000000000000000
χ3422222-2-22220000200222-2-222000022222222220000-2-20000-2-2-2-200000000-2-222220000000000000000-2-2000000-22-22-22-220000000000000000
χ3522222-2-22220000200222-2-2220000222222-2-2-2-20000-2-20000-2-2-2-20000000022-2-2-2-20000000000000000220000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ3622222-2-22220000200222-2-2220000222222-2-2-2-20000-2-20000-2-2-2-20000000022-2-2-2-2000000000000000022000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ372222-122-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-100000000-1-1-1-1000000000000
χ382222-122-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2-2-211-2-21111000000001111000000000000
χ392222-122-1-1-122-2-22-2-2222-1-1-1-11111-1-1-1-1-1-12222-1-11122-2-2-2-2-1-1-1-11111111122-1-1-1-122-2-2-1-1-1-11111-2-222-1-1-2-211110000000011-1-1000000000000
χ402222-122-1-1-122-2-22-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-1-11122-2-2-2-2-1-1-1-111111111-2-2111122-2-2-1-1-1-1111122-2-21122-1-1-1-100000000-1-111000000000000
χ412222-122-1-1-1-2-2222-2-2222-1-1-1-11111-1-1-1-1-1-1222211-1-122-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2221111-1-1-1-122-2-2-1-1-2-2111100000000-1-111000000000000
χ422222-122-1-1-1-2-2222-2-2222-1-1-1-11111-1-1-1-1-1-1-2-2-2-211-1-122-2-2-2-2-1-1-1-111111111-2-21111-2-2221111-1-1-1-1-2-2221122-1-1-1-10000000011-1-1000000000000
χ432222-122-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2-1-122-1-1-1-1000000001111000000000000
χ442222-122-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111222211-2-2111100000000-1-1-1-1000000000000
χ452-2-222-22-2-220000200-22-2-22220000-2-222-2-222-2-20000-220000-2-222000000002-222-2-20000000000000000-220000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ462-2-222-22-2-220000200-22-2-22220000-2-222-2-222-2-20000-220000-2-222000000002-222-2-20000000000000000-22000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ472-2-222-22-2-220000200-22-2-22220000-2-222-2-2-2-2220000-220000-2-22200000000-22-2-22200000000000000002-20000002-2-22-222-20000000000000000
χ482-2-222-22-2-220000200-22-2-22220000-2-222-2-2-2-2220000-220000-2-22200000000-22-2-22200000000000000002-2000000-222-22-2-220000000000000000
χ492-2-22-12-211-12-22i−2i22i−2i-22-2-11-1-1−i−iii11-1-11122-2-2-11−ii2-22i2i−2i−2i-1-111−i−i−i−iiiii-22-1-1112-22i−2i-1-111−i−iii2i−2i2-2-112i−2i−i−iii00000000−ii-11000000000000
χ502-2-22-12-211-12-22i−2i22i−2i-22-2-11-1-1−i−iii11-1-111-2-222-11−ii2-22i2i−2i−2i-1-111−i−i−i−iiiii2-211-1-12-22i−2i-1-111−i−iii−2i2i-221-1−2i2iii−i−i00000000i−i1-1000000000000
χ512-2-22-12-211-12-2−2i2i2−2i2i-22-2-11-1-1ii−i−i11-1-11122-2-2-11i−i2-2−2i−2i2i2i-1-111iiii−i−i−i−i-22-1-1112-2−2i2i-1-111ii−i−i−2i2i2-2-11−2i2iii−i−i00000000i−i-11000000000000
χ522-2-22-12-211-12-2−2i2i2−2i2i-22-2-11-1-1ii−i−i11-1-111-2-222-11i−i2-2−2i−2i2i2i-1-111iiii−i−i−i−i2-211-1-12-2−2i2i-1-111ii−i−i2i−2i-221-12i−2i−i−iii00000000−ii1-1000000000000
χ532-2-22-12-211-1-222i−2i2−2i2i-22-2-11-1-1ii−i−i11-1-11122-2-21-1−ii2-2−2i−2i2i2i-1-111iiii−i−i−i−i-22-1-111-222i−2i11-1-1−i−iii2i−2i-22-11−2i2iii−i−i00000000−ii1-1000000000000
χ542-2-22-12-211-1-222i−2i2−2i2i-22-2-11-1-1ii−i−i11-1-111-2-2221-1−ii2-2−2i−2i2i2i-1-111iiii−i−i−i−i2-211-1-1-222i−2i11-1-1−i−iii−2i2i2-21-12i−2i−i−iii00000000i−i-11000000000000
χ552-2-22-12-211-1-22−2i2i22i−2i-22-2-11-1-1−i−iii11-1-11122-2-21-1i−i2-22i2i−2i−2i-1-111−i−i−i−iiiii-22-1-111-22−2i2i11-1-1ii−i−i−2i2i-22-112i−2i−i−iii00000000i−i1-1000000000000
χ562-2-22-12-211-1-22−2i2i22i−2i-22-2-11-1-1−i−iii11-1-111-2-2221-1i−i2-22i2i−2i−2i-1-111−i−i−i−iiiii2-211-1-1-22−2i2i11-1-1ii−i−i2i−2i2-21-1−2i2iii−i−i00000000−ii-11000000000000
χ5744444444444444-144-1-1-144-1-14444-1-1-1-1-1-100004444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ58444444444444-4-4-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-1000044-4-4-1-11111-1-1-1-111111111000000-1-111-1-1-1-11111000000000000000000000000000000000000
χ594444444444-4-444-1-4-4-1-1-144-1-1-4-4-4-4-1-1-1-1-1-10000-4-444-1-11111-1-1-1-11111111100000011-1-11111-1-1-1-1000000000000000000000000000000000000
χ604444444444-4-4-4-4-144-1-1-144-1-14444-1-1-1-1-1-10000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111111111111000000000000000000000000000000000000
χ614444-244-2-2-24444-144-1-1-1-2-21−i1521+i152-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1520000-2-2-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000000000000
χ624444-244-2-2-24444-144-1-1-1-2-21+i1521−i152-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1520000-2-2-2-2-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000000000000
χ634444-244-2-2-244-4-4-1-4-4-1-1-1-2-21−i1521+i15222221−i1521+i1521−i1521+i1521−i1521+i1520000-2-222-1-111111−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−i152000000000000000000000000000000000000
χ644444-244-2-2-244-4-4-1-4-4-1-1-1-2-21+i1521−i15222221+i1521−i1521+i1521−i1521+i1521−i1520000-2-222-1-111111+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+i152000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.