Finite Group Databasebeta

← Group #14302050

Character table — Group #14302050

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222444444444444444444444444444448888888888888888888888888888888888888888881010101010102020202020202020204040404040406060606060606060120120120120
order12222222366666662566661010101010101015153030303030303030303030303030246610101010101010101212202020203030303030303030303030303030303060606060606060602222222666666664412121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ9111111-1-111111111-11-1-1-1-1111111111111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-11-111-1-1ii−i−iii−i−ii−ii−i
χ10111111-1-111111111-11-1-1-1-1111111111111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-11-111-1-1−i−iii−i−iii−ii−ii
χ11111111-1-111111111-11-1-1-1-1111111111111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-1-11111-1-1-1-1111-1-11
χ12111111-1-111111111-11-1-1-1-1111111111111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-1-111-1-11111-1-1-111-1
χ13111111-1-111111111-11-1-1-1-111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-11-1-111ii−i−iii−i−i−ii−ii
χ14111111-1-111111111-11-1-1-1-111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-11-1-111−i−iii−i−iiii−ii−i
χ15111111-1-111111111-11-1-1-1-111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111111-111-1-111-1-1-1-111-111-1
χ16111111-1-111111111-11-1-1-1-111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111111-111-1-1-1-11111-1-11-1-11
χ1722222222-1-1-1-1-1-1-1-122-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ1822222222-1-1-1-1-1-1-1-122-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111111-2-21111000000000000
χ1922222222-1-1-1-1-1-1-1-122-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2112222-2-2-2-211-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222222-1-1-1-1-1-1-1-1-2-21111000000000000
χ2022222222-1-1-1-1-1-1-1-122-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2112222-2-2-2-211-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-21111111122-1-1-1-1000000000000
χ21222222-2-2-1-1-1-1-1-1-1-1-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-1-2-2-2-2222211-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-2-2-22-1-1-1-111112-2-1-111000000000000
χ22222222-2-2-1-1-1-1-1-1-1-1-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-1-2-2-2-2222211-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-22222-21111-1-1-1-1-2211-1-1000000000000
χ23222222-2-2-1-1-1-1-1-1-1-1-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-2-2-2-2-2-2-2-2-1-122221111111111111111-1-1-1-1-1-1-1-122-2-2-2-22-1-1-1-11111-2211-1-1000000000000
χ24222222-2-2-1-1-1-1-1-1-1-1-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-2-2-2-2-2-2-2-2-1-122221111111111111111-1-1-1-1-1-1-1-1-2-22222-21111-1-1-1-12-2-1-111000000000000
χ252222-2-2222-2-2-2-2222-2222-2-222-2-2-2-22222222-2-2-2-2-2-2-2-222000022-2-200000000002222-2-2-2-20000000000000000222-2-22-222-2-222-2-2000000000000000000
χ262222-2-2222-2-2-2-2222-2222-2-222-2-2-2-22222222-2-2-2-2-2-2-2-222000022-2-200000000002222-2-2-2-20000000000000000-2-2-222-22-2-222-2-222000000000000000000
χ272222-2-222-11111-1-1-1-22-1-11122-2-2-2-22-1-1-1-1-1-111111111-1-100−i3i322-2-20000−i3i30000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3222-2-22-2-1-111-1-11100−i3i3−i3i3000000000000
χ282222-2-222-11111-1-1-1-22-1-11122-2-2-2-22-1-1-1-1-1-111111111-1-100−i3i322-2-20000−i3i30000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2-222-2211-1-111-1-100i3−i3i3−i3000000000000
χ292222-2-222-11111-1-1-1-22-1-11122-2-2-2-22-1-1-1-1-1-111111111-1-100i3−i322-2-20000i3−i30000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3222-2-22-2-1-111-1-11100i3−i3i3−i3000000000000
χ302222-2-222-11111-1-1-1-22-1-11122-2-2-2-22-1-1-1-1-1-111111111-1-100i3−i322-2-20000i3−i30000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2-222-2211-1-111-1-100−i3i3−i3i3000000000000
χ312222-2-2-2-22-2-2-2-222222-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-2220000-2-2220000000000-2-2-2-22222000000000000000022-222-2-222-2-2-2-222000000000000000000
χ322222-2-2-2-22-2-2-2-222222-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-2220000-2-2220000000000-2-2-2-222220000000000000000-2-22-2-222-2-22222-2-2000000000000000000
χ332222-2-2-2-2-11111-1-1-12211-1-122-2-2-2-22-1-1-1-1-1-111111111-1-100−i3i3-2-2220000i3−i300001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i322-222-2-2-1-11111-1-100−i3i3i3−i3000000000000
χ342222-2-2-2-2-11111-1-1-12211-1-122-2-2-2-22-1-1-1-1-1-111111111-1-100−i3i3-2-2220000i3−i300001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-22-2-22211-1-1-1-11100i3−i3−i3i3000000000000
χ352222-2-2-2-2-11111-1-1-12211-1-122-2-2-2-22-1-1-1-1-1-111111111-1-100i3−i3-2-2220000−i3i300001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i322-222-2-2-1-11111-1-100i3−i3−i3i3000000000000
χ362222-2-2-2-2-11111-1-1-12211-1-122-2-2-2-22-1-1-1-1-1-111111111-1-100i3−i3-2-2220000−i3i300001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-22-2-22211-1-1-1-11100−i3i3i3−i3000000000000
χ372-22-22-200222-2-2-22-20200002-222-2-2-22222-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-2000002-22-2000000002i−2i2i−2i000000
χ382-22-22-200222-2-2-22-20200002-222-2-2-22222-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-2000002-22-200000000−2i2i−2i2i000000
χ392-22-22-200222-2-2-22-20200002-222-2-2-22222-2-22222-2-2-2-2-2-200000000000000000000000000000000000000000000-2-22200000-22-22000000002-2-22000000
χ402-22-22-200222-2-2-22-20200002-222-2-2-22222-2-22222-2-2-2-2-2-200000000000000000000000000000000000000000000-2-22200000-22-2200000000-222-2000000
χ412-22-2-22002-2-222-22-20200002-2-2-222-22222-2-2-2-2-2-22222-2-2000000000000000000000000000000000000000000002-22-2000002-2-220000002i−2i00002i−2i0000
χ422-22-2-22002-2-222-22-20200002-2-2-222-22222-2-2-2-2-2-22222-2-2000000000000000000000000000000000000000000002-22-2000002-2-22000000−2i2i0000−2i2i0000
χ432-22-2-22002-2-222-22-20200002-2-2-222-22222-2-2-2-2-2-22222-2-200000000000000000000000000000000000000000000-22-2200000-222-20000002-20000-220000
χ442-22-2-22002-2-222-22-20200002-2-2-222-22222-2-2-2-2-2-22222-2-200000000000000000000000000000000000000000000-22-2200000-222-2000000-2200002-20000
χ4544444444444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ4644444444444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-11111-4-41111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000
χ4744444444-2-2-2-2-2-2-2-24-1-2-2-2-2-1-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15244-2-2-1-1-1-1-1-1-1-1-2-2-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000000000000000000000000000000
χ4844444444-2-2-2-2-2-2-2-24-1-2-2-2-2-1-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152-4-422-1-1-1-111112211111−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−i152000000000000000000000000000000000
χ4944444444-2-2-2-2-2-2-2-24-1-2-2-2-2-1-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15244-2-2-1-1-1-1-1-1-1-1-2-2-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000000000000000000000000000000
χ5044444444-2-2-2-2-2-2-2-24-1-2-2-2-2-1-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152-4-422-1-1-1-111112211111+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+i152000000000000000000000000000000000
χ51444444-4-444444444-4-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-4441111-1-1-1-1-4-4111111111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000
χ52444444-4-444444444-4-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-44-4-41111111144-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ53444444-4-4-2-2-2-2-2-2-2-2-4-12222-1-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1524-4-2-21111-1-1-1-1221111−1+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−i152000000000000000000000000000000000
χ54444444-4-4-2-2-2-2-2-2-2-2-4-12222-1-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152-442211111111-2-2-1-1-1-1−1+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−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000000000000000000000000000000
χ55444444-4-4-2-2-2-2-2-2-2-2-4-12222-1-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1524-4-2-21111-1-1-1-1221111−1−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+i152000000000000000000000000000000000
χ56444444-4-4-2-2-2-2-2-2-2-2-4-12222-1-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152-442211111111-2-2-1-1-1-1−1−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+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000000000000000000000000000000
χ574444-4-4444-4-4-4-4444-4-144-4-4-1-11111-1-1-1-1-1-1-111111111-1-10000-1-111−5−55500−5−555-1-1-1-11111−5−55555−5−5−5−55555−5−5000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.