Finite Group Databasebeta

← Group #14284746

Character table — Group #14284746

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222224444444444444444444444444444448888888888888888888888888888888888888888881010101010101010202020202020202040404040404060606060606060606060606060606060
order122244443666121212122456610101012121515202020203030303030306060606060606060441010121212122020202020202020202030303030606060606060606060606060606060606060606044444444121212121212121244121212128888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-1-1-111-1-111
χ121111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-11111-1-1-1-1-111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111-111-1-1-1-11111-1-111-1-1-1-111
χ172222222222222222-2-22-2-2222-2-22222222222222222222200-2-20000-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-222-2-222-2-222-2-20000000000000000000000
χ182222222222222222-2-22-2-2222-2-22222222222222222222200-2-20000-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-222-2-222-2-222-2-2220000000000000000000000
χ1922222222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ2022222222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-211110000000000000000
χ2122222222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222111122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122222222-1-1-1-1-1-1-1-1-2-211110000000000000000
χ2222222222-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222111122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-21111111122-1-1-1-10000000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2−i3i3−i3i3-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-2-222-2-2-1-111-1-11100−i3i3−i3i30000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2−i3i3−i3i3-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-222-2-22211-1-111-1-100i3−i3i3−i30000000000000000
χ2522222222-1-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2i3−i3i3−i3-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-2-222-2-2-1-111-1-11100i3−i3i3−i30000000000000000
χ2622222222-1-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2i3−i3i3−i3-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-222-2-22211-1-111-1-100−i3i3−i3i30000000000000000
χ272222-2-2-2-22222-2-2-2-22-2222222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-200220000-2-2000000002222-2-2-2-2000000000000000022-2-2-2-22222-2-2-2-2220000000000000000000000
χ282222-2-2-2-22222-2-2-2-22-2222222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-200220000-2-2000000002222-2-2-2-20000000000000000-2-22222-2-2-2-22222-2-20000000000000000000000
χ292222-2-2-2-2-1-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111110022−i3i3i3−i3-2-200000000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i322-2-2-2-222-1-11111-1-100−i3i3i3−i30000000000000000
χ302222-2-2-2-2-1-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111110022−i3i3i3−i3-2-200000000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-22222-2-211-1-1-1-11100i3−i3−i3i30000000000000000
χ312222-2-2-2-2-1-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111110022i3−i3−i3i3-2-200000000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i322-2-2-2-222-1-11111-1-100i3−i3−i3i30000000000000000
χ322222-2-2-2-2-1-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111110022i3−i3−i3i3-2-200000000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-22222-2-211-1-1-1-11100−i3i3i3−i30000000000000000
χ332222-2-2-2-2-1-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-2-2-1-111222222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-111112-2-1-1110000000000000000
χ342222-2-2-2-2-1-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-2-2-1-111222222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-1-2211-1-10000000000000000
χ352222-2-2-2-2-1-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-22-2-211-1-122-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111-2211-1-10000000000000000
χ362222-2-2-2-2-1-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-22-2-211-1-122-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-12-2-1-1110000000000000000
χ372-22-22i2i−2i−2i2-22-22i2i−2i−2i002002-2-200222i2i−2i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000002i−2i002-2002i−2i002-20000002−2−i2i20000−i2i22−20000
χ382-22-22i2i−2i−2i2-22-22i2i−2i−2i002002-2-200222i2i−2i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000002i−2i002-2002i−2i002-2000000−22i2−i20000i2−i2−220000
χ392-22-22i2i−2i−2i2-22-22i2i−2i−2i002002-2-200222i2i−2i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000−2i2i00-2200−2i2i00-22000000−i2i2−2200002−2i2−i20000
χ402-22-22i2i−2i−2i2-22-22i2i−2i−2i002002-2-200222i2i−2i−2i22-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000−2i2i00-2200−2i2i00-22000000i2−i22−20000−22−i2i20000
χ412-22-2−2i−2i2i2i2-22-2−2i−2i2i2i002002-2-20022−2i−2i2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000002i−2i00-22002i−2i00-22000000−i2i22−20000−22i2−i20000
χ422-22-2−2i−2i2i2i2-22-2−2i−2i2i2i002002-2-20022−2i−2i2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000002i−2i00-22002i−2i00-22000000i2−i2−2200002−2−i2i20000
χ432-22-2−2i−2i2i2i2-22-2−2i−2i2i2i002002-2-20022−2i−2i2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000−2i2i002-200−2i2i002-20000002−2i2−i20000i2−i22−20000
χ442-22-2−2i−2i2i2i2-22-2−2i−2i2i2i002002-2-20022−2i−2i2i2i22-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000−2i2i002-200−2i2i002-2000000−22−i2i20000−i2i2−220000
χ452-2-222i−2i2i−2i2-2-222i−2i2i−2i00200-22-200222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000002i−2i002-2002i−2i002-2000000000000−i2i22−200002−2−i2i2
χ462-2-222i−2i2i−2i2-2-222i−2i2i−2i00200-22-200222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000002i−2i002-2002i−2i002-2000000000000i2−i2−220000−22i2−i2
χ472-2-222i−2i2i−2i2-2-222i−2i2i−2i00200-22-200222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000−2i2i00-2200−2i2i00-220000000000002−2i2−i20000−i2i2−22
χ482-2-222i−2i2i−2i2-2-222i−2i2i−2i00200-22-200222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000−2i2i00-2200−2i2i00-22000000000000−22−i2i20000i2−i22−2
χ492-2-22−2i2i−2i2i2-2-22−2i2i−2i2i00200-22-20022−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000002i−2i00-22002i−2i00-220000000000002−2−i2i20000i2−i2−22
χ502-2-22−2i2i−2i2i2-2-22−2i2i−2i2i00200-22-20022−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000002i−2i00-22002i−2i00-22000000000000−22i2−i20000−i2i22−2
χ512-2-22−2i2i−2i2i2-2-22−2i2i−2i2i00200-22-20022−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000−2i2i002-200−2i2i002-2000000000000−i2i2−220000−22−i2i2
χ522-2-22−2i2i−2i2i2-2-22−2i2i−2i2i00200-22-20022−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000−2i2i002-200−2i2i002-2000000000000i2−i22−200002−2i2−i2
χ53444444444444444444-144-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-144-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ54444444444444444444-144-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-1-1-4-4-4-4-1-111111111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000000000
χ554444444444444444-4-4-1-4-4-1-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10011000011−5−555−5−55511111111−5−555−5−555−5−555−5−55500000000000000000000000000000000000000
χ564444444444444444-4-4-1-4-4-1-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1001100001155−5−555−5−51111111155−5−555−5−555−5−555−5−500000000000000000000000000000000000000
χ5744444444-2-2-2-2-2-2-2-244-1-2-2-1-1-1-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15244-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i15200000000000000000000000000000000000000
χ5844444444-2-2-2-2-2-2-2-244-1-2-2-1-1-1-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152-4-4-1-12222-1-1111111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i15200000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.