Finite Group Databasebeta

← Group #14301167

Character table — Group #14301167

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222444444444445588888888888888888101010101016161616161616161616161616161616161620202020204040404040404040606060606060606060606060120120
order1223446245610121215153030442666810122020242430306060606022412121010102030303030303040406060120120120120246612468121212242488888888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-11-1-1-11111-1-1111111111111-1-1111-1-1-1-1-1-111-1-1-1-111111-11-11-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111-11-1-1-11111-1-1111111111111-1-1111-1-1-1-1-1-111-1-1-1-111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111111111111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−ii−i
χ6111111111111111111-1-111111111111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−ii
χ7111111111111111111-1-1-11-1-1-11111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11-11111iiii−i−i−i−i−i−iii−ii
χ8111111111111111111-1-1-11-1-1-11111-1-1111111-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11-11111−i−i−i−iiiiiii−i−ii−i
χ91111111-1-1111111111111-111-11-111-1-111111111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-111-1-11111-1-1
χ101111111-1-1111111111111-111-11-111-1-111111111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-111-1-111-1-1-1-111
χ111111111-1-111111111111-1-1-1-111-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-11-1-1-11111-1-111-1-1-1-1-1-111
χ121111111-1-111111111111-1-1-1-111-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-11-1-1-111-1-111-1-1111111-1-1
χ131111111-1-1111111111-1-11-111-11-111-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111ii−i−i−i−iiiii−i−i−ii
χ141111111-1-1111111111-1-11-111-11-111-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111−i−iiiii−i−i−i−iiii−i
χ151111111-1-1111111111-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1111-1-1ii−i−i−i−iii−i−iiii−i
χ161111111-1-1111111111-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1111-1-1−i−iiiii−i−iii−i−i−ii
χ172222-2-2200222-2-22222220000020-2-20022-2-2-2-2-2-222200000000000000000000-2-22000000002-2002-200000000
χ182222-2-2200222-2-22222220000020-2-20022-2-2-2-2-2-222200000000000000000000-2-2200000000-2200-2200000000
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χ22222-122-1222-12-1-1-1-1-1-122-2-111-22-12211-1-1-1-1-1-1222-1-12-2-22-1-11111-2-2-1-1111122-1-1-1-2-1-2-1111100000000000000
χ23222-122-1222-12-1-1-1-1-1-1-2-22-1-1-122-122-1-1-1-1-1-1-1-1-2-2-2112222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111-21-21111100000000000000
χ24222-122-1222-12-1-1-1-1-1-1-2-2-2-111-22-12211-1-1-1-1-1-1-2-2-2112-2-22-1-11111-2-2-1-11111-2-21112121-1-1-1-100000000000000
χ25222-122-1-2-22-12-1-1-1-1-1-12221-1-1-2212211-1-1-1-1-1-1222-1-1-222-211-1-1-1-1-2-2111111-2-2-1-1-121-21-1-11100000000000000
χ26222-122-1-2-22-12-1-1-1-1-1-122-211122122-1-1-1-1-1-1-1-1222-1-1-2-2-2-21111112211-1-1-1-1-2-2-1-1-1-212111-1-100000000000000
χ27222-122-1-2-22-12-1-1-1-1-1-1-2-221-1-1-2212211-1-1-1-1-1-1-2-2-211-222-211-1-1-1-1-2-211111122111-2-12-111-1-100000000000000
χ28222-122-1-2-22-12-1-1-1-1-1-1-2-2-211122122-1-1-1-1-1-1-1-1-2-2-211-2-2-2-21111112211-1-1-1-1221112-1-2-1-1-11100000000000000
χ2922-222-22002-222-222222200000-202-200-2-222-2-2-22-222000000000000000000002-2-200000000002-2002-2000000
χ3022-222-22002-222-222222200000-202-200-2-222-2-2-22-222000000000000000000002-2-20000000000-2200-22000000
χ3122-222-22002-222-22222-2-200000-202-200-2-222-2-22-22-2-200000000000000000000-22200000000002i−2i00−2i2i000000
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χ3422-22-2222-22-22-222222-2-202000-2-2-2200-2-2-2-222-222-2-2200-222000000-2-200002-22-22020-2000000000000000000
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χ3622-22-222-222-22-222222-2-20-2000-22-2200-2-2-2-222-222-2-2-2002-2-2000000220000-222-220-202000000000000000000
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χ3922-2-1-22-12-22121-1-1-1-1-1-2-20-1−i3i30-21-22−i3i31111-1-1-22211200-2-1-1−i3−i3i3i30011−i3−i3i3i32-2-11-10-101i3−i3i3−i300000000000000
χ4022-2-1-22-12-22121-1-1-1-1-1-2-20-1i3−i30-21-22i3−i31111-1-1-22211200-2-1-1i3i3−i3−i30011i3i3−i3−i32-2-11-10-101−i3i3−i3i300000000000000
χ4122-2-1-22-1-222121-1-1-1-1-12201−i3i30-2-1-22i3−i31111-1-12-2-2-1-1-200211−i3−i3i3i300-1-1i3i3−i3−i32-21-110-101−i3i3i3−i300000000000000
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χ4322-2-1-22-1-222121-1-1-1-1-1-2-201−i3i30-2-1-22i3−i31111-1-1-22211-200211−i3−i3i3i300-1-1i3i3−i3−i3-22-11-1010-1i3−i3−i3i300000000000000
χ4422-2-1-22-1-222121-1-1-1-1-1-2-201i3−i30-2-1-22−i3i31111-1-1-22211-200211i3i3−i3−i300-1-1−i3−i3i3i3-22-11-1010-1−i3i3i3−i300000000000000
χ45444444444-14-144-1-1-1-10044444-14-1-144-1-1-1-1-1-100000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
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χ474444444-4-4-14-144-1-1-1-1004-444-4-1-4-1-1-4-4-1-1-1-1-1-1000001-1-1111-1-1-1-111111111000000000000000000000000000
χ484444444-4-4-14-144-1-1-1-100-4-4-4-44-1-4-1-144-1-1-1-1-1-1000001111111111-1-111-1-1-1-1000000000000000000000000000
χ49444-244-244-1-2-1-2-21−i1521+i1521−i1521+i152004-2-2-24-1-2-1-1-2-21−i1521+i1521−i1521+i1521−i1521+i15200000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i152-1-11−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000
χ50444-244-244-1-2-1-2-21−i1521+i1521−i1521+i15200-4-222-4-1-2-1-1221−i1521+i1521−i1521+i1521−i1521+i15200000-111-11−i1521+i152−1+i152−1−i152−1+i152−1−i152111−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000
χ51444-244-244-1-2-1-2-21+i1521−i1521+i1521−i152004-2-2-24-1-2-1-1-2-21+i1521−i1521+i1521−i1521+i1521−i15200000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i152-1-11+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000
χ52444-244-244-1-2-1-2-21+i1521−i1521+i1521−i15200-4-222-4-1-2-1-1221+i1521−i1521+i1521−i1521+i1521−i15200000-111-11+i1521−i152−1−i152−1+i152−1−i152−1+i152111+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000
χ53444-244-2-4-4-1-2-1-2-21−i1521+i1521−i1521+i1520042-2-2-4-12-1-1221−i1521+i1521−i1521+i1521−i1521+i152000001-1-11−1+i152−1−i1521−i1521+i1521−i1521+i15211−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000
χ54444-244-2-4-4-1-2-1-2-21−i1521+i1521−i1521+i15200-42224-12-1-1-2-21−i1521+i1521−i1521+i1521−i1521+i152000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152-1-1−1+i152−1−i1521−i1521+i1521−i1521+i152000000000000000000000000000
χ55444-244-2-4-4-1-2-1-2-21+i1521−i1521+i1521−i1520042-2-2-4-12-1-1221+i1521−i1521+i1521−i1521+i1521−i152000001-1-11−1−i152−1+i1521+i1521−i1521+i1521−i15211−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000
χ56444-244-2-4-4-1-2-1-2-21+i1521−i1521+i1521−i15200-42224-12-1-1-2-21+i1521−i1521+i1521−i1521+i1521−i152000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152-1-1−1−i152−1+i1521+i1521−i1521+i1521−i152000000000000000000000000000
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χ8288-8-48-8-400-24-2-441+i151−i151+i151−i15000000020-2200−1−i15−1+i151+i151−i15−1−i15−1+i1500000000000000000000000000000000000000000000000000
χ838-80-40040080-800-4-4448i−8i00000000000000000000−4i4i000000000000000000000000000000000000000000000
χ848-80-40040080-800-4-444−8i8i000000000000000000004i−4i000000000000000000000000000000000000000000000
χ8516-1601600-1600-40400-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8616-160-800800-404002−2i152+2i15−2+2i15−2−2i15000000000000000000000000000000000000000000000000000000000000000000000
χ8716-160-800800-404002+2i152−2i15−2−2i15−2+2i15000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.