Finite Group Databasebeta

← Group #14283926

Character table — Group #14283926

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222224444444444444444444444444444448888888888888888888888888888888888888888881010101010101010202020202020202040404040404060606060606060606060606060606060
order1222444436661212121244510101012121212151520202020303030303030606060606060606024661010101012122020202020202020303030303030303060606060606060606060606060606060224444446612121212121244121212128888888888888888
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
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11-1-11111-1-111-1-1-1-111-1-111
χ121111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1111-111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1111-111-1-1-1-11111-1-111-1-1-1-111
χ172222222222222222-2-22222-2-2-2-2222222222222222222220000000000-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000022-2-222-2-22222-2-2-2-20000000000000000000000
χ182222222222222222-2-22222-2-2-2-2222222222222222222220000000000-2-2-2-2000000000000-2-2-2-2-2-2-2-200000000-2-222-2-222-2-2-2-222220000000000000000000000
χ1922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ2022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-211110000000000000000
χ2122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-2112222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-1-2-211110000000000000000
χ2222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-2112222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111122-1-1-1-10000000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i30000−i3i3-2-2-2-20000−i3−i3−i3−i3i3i3i3i311111111−i3−i3−i3−i3i3i3i3i322-2-222-2-2-1-1-1-1111100−i3i3−i3i30000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i30000−i3i3-2-2-2-20000−i3−i3−i3−i3i3i3i3i311111111−i3−i3−i3−i3i3i3i3i3-2-222-2-2221111-1-1-1-100i3−i3i3−i30000000000000000
χ2522222222-1-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i30000i3−i3-2-2-2-20000i3i3i3i3−i3−i3−i3−i311111111i3i3i3i3−i3−i3−i3−i322-2-222-2-2-1-1-1-1111100i3−i3i3−i30000000000000000
χ2622222222-1-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i30000i3−i3-2-2-2-20000i3i3i3i3−i3−i3−i3−i311111111i3i3i3i3−i3−i3−i3−i3-2-222-2-2221111-1-1-1-100−i3i3−i3i30000000000000000
χ272222-2-2-2-22222-2-2-2-2-222222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-20000000000-2-222000000000000-2-2-2-222220000000022-2-2-2-22222-2-2-2-2220000000000000000000000
χ282222-2-2-2-22222-2-2-2-2-222222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-20000000000-2-222000000000000-2-2-2-2222200000000-2-22222-2-2-2-22222-2-20000000000000000000000
χ292222-2-2-2-2-1-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-1-122221122-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-1-111-1-1112-2-1-1110000000000000000
χ302222-2-2-2-2-1-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-1-122221122-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2-2-2222211-1-111-1-1-2211-1-10000000000000000
χ312222-2-2-2-2-1-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2211-2-2-2-2-1-122-2-2222211111111-1-1-1-11111-1-1-1-1-1-1-1-12222-2-2-2-2-1-111-1-111-2211-1-10000000000000000
χ322222-2-2-2-2-1-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2211-2-2-2-2-1-122-2-2222211111111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2222211-1-111-1-12-2-1-1110000000000000000
χ332222-2-2-2-2-1-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i30000i3−i3-2-2220000−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i322-2-2-2-222-1-11111-1-100−i3i3i3−i30000000000000000
χ342222-2-2-2-2-1-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i30000i3−i3-2-2220000−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-2-22222-2-211-1-1-1-11100i3−i3−i3i30000000000000000
χ352222-2-2-2-2-1-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i30000−i3i3-2-2220000i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i322-2-2-2-222-1-11111-1-100i3−i3−i3i30000000000000000
χ362222-2-2-2-2-1-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i30000−i3i3-2-2220000i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-2-22222-2-211-1-1-1-11100−i3i3i3−i30000000000000000
χ3722-2-222-2-222-2-222-2-2002-2-2200002222-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000000000000000000000002i−2i002i−2i00002i−2i2i−2i0000001+i−1−i1+i−1−i00001−i−1+i1−i−1+i0000
χ3822-2-222-2-222-2-222-2-2002-2-2200002222-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000000000000000000000002i−2i002i−2i00002i−2i2i−2i000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i0000
χ3922-2-222-2-222-2-222-2-2002-2-2200002222-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000000000000000000000−2i2i00−2i2i0000−2i2i−2i2i0000001−i−1+i1−i−1+i00001+i−1−i1+i−1−i0000
χ4022-2-222-2-222-2-222-2-2002-2-2200002222-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000000000000000000000−2i2i00−2i2i0000−2i2i−2i2i000000−1+i1−i−1+i1−i0000−1−i1+i−1−i1+i0000
χ4122-2-2-2-22222-2-2-2-222002-2-22000022-2-222-2-2-2-222-2-2-2-22222000000000000000000000000000000000000000000002i−2i00−2i2i00002i−2i−2i2i0000001−i−1+i−1+i1−i0000−1−i1+i1+i−1−i0000
χ4222-2-2-2-22222-2-2-2-222002-2-22000022-2-222-2-2-2-222-2-2-2-22222000000000000000000000000000000000000000000002i−2i00−2i2i00002i−2i−2i2i000000−1+i1−i1−i−1+i00001+i−1−i−1−i1+i0000
χ4322-2-2-2-22222-2-2-2-222002-2-22000022-2-222-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000000000−2i2i002i−2i0000−2i2i2i−2i0000001+i−1−i−1−i1+i0000−1+i1−i1−i−1+i0000
χ4422-2-2-2-22222-2-2-2-222002-2-22000022-2-222-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000000000−2i2i002i−2i0000−2i2i2i−2i000000−1−i1+i1+i−1−i00001−i−1+i−1+i1−i0000
χ452-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-20000222i−2i2i−2i22-2-2-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000002-2002i−2i002-22i−2i000000000000001+i−1−i1−i−1+i00001+i−1−i1−i−1+i
χ462-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-20000222i−2i2i−2i22-2-2-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000002-2002i−2i002-22i−2i00000000000000−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i
χ472-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-20000222i−2i2i−2i22-2-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000-2200−2i2i00-22−2i2i000000000000001−i−1+i−1−i1+i0000−1+i1−i1+i−1−i
χ482-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-20000222i−2i2i−2i22-2-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000-2200−2i2i00-22−2i2i00000000000000−1+i1−i1+i−1−i00001−i−1+i−1−i1+i
χ492-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0022-2-2000022−2i2i−2i2i22-2-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000002-200−2i2i002-2−2i2i000000000000001−i−1+i1+i−1−i00001−i−1+i1+i−1−i
χ502-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0022-2-2000022−2i2i−2i2i22-2-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000002-200−2i2i002-2−2i2i00000000000000−1+i1−i−1−i1+i0000−1+i1−i−1−i1+i
χ512-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0022-2-2000022−2i2i−2i2i22-2-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000-22002i−2i00-222i−2i000000000000001+i−1−i−1+i1−i0000−1−i1+i1−i−1+i
χ522-22-2−2i2i−2i2i2-22-2−2i2i−2i2i0022-2-2000022−2i2i−2i2i22-2-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000-22002i−2i00-222i−2i00000000000000−1−i1+i1−i−1+i00001+i−1−i−1+i1−i
χ53444444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14444-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ54444444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-41111-4-4-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000000000
χ554444444444444444-4-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−5−555001111−5−555−5−555−5−55511111111−5−555−5−55500000000000000000000000000000000000000
χ564444444444444444-4-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000055−5−500111155−5−555−5−555−5−51111111155−5−555−5−500000000000000000000000000000000000000
χ5744444444-2-2-2-2-2-2-2-244-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15244-2-2-1-1-1-1-2-2-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i15200000000000000000000000000000000000000
χ5844444444-2-2-2-2-2-2-2-244-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152-4-422111122-1-1-1-11111−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i15200000000000000000000000000000000000000
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χ1218-88-88i−8i8i−8i8-88-88i−8i8i−8i00-2-2220000-2-2−2i2i−2i2i-2-22222−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-88i−8i8i−8i-44-44−4i4i−4i4i00-2-22200001−i151+i15−2i2i−2i2i1−i151+i15−1+i15−1−i15−1+i15−1−i152ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-88i−8i8i−8i-44-44−4i4i−4i4i00-2-22200001+i151−i15−2i2i−2i2i1+i151−i15−1−i15−1+i15−1−i15−1+i152ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88-8−8i8i−8i8i8-88-8−8i8i−8i8i00-2-2220000-2-22i−2i2i−2i-2-222222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8−8i8i−8i8i-44-444i−4i4i−4i00-2-22200001−i151+i152i−2i2i−2i1−i151+i15−1+i15−1−i15−1+i15−1−i15−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8−8i8i−8i8i-44-444i−4i4i−4i00-2-22200001+i151−i152i−2i2i−2i1+i151−i15−1−i15−1+i15−1−i15−1+i15−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.