Finite Group Databasebeta

← Group #14417016

Character table — Group #14417016

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222244444444444444455888888888888888101010101016161616161616161616161616161616161620202020202020202030303030303030303030303040404040404060606060606060606060
order1223446222456881012121515303022666101220202424303060606060244661010102030303030303040406060120120120120222468812124444444488886661224244444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111111111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-1-1-1-1-1i−iiii−i−i−ii−i
χ41111111111111111111111-1-1111111111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-1-1-1-1-1−ii−i−i−iiii−ii
χ5111111111-1-111-1-111111111111-11-111-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-11111111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1
χ6111111111-1-111-1-111111111111-11-111-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11111
χ7111111111-1-111-1-11111111-1-111-11-111-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1ii−i−iii−i−i−i−iii-1-11111i−ii−i−i−iii−ii
χ8111111111-1-111-1-11111111-1-111-11-111-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1−i−iii−i−iiiii−i−i-1-11111−ii−iiii−i−ii−i
χ91111111-1-11111-1-1111111111-1-111111-1-111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-111-1-1
χ101111111-1-11111-1-1111111111-1-111111-1-111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11-1-111
χ111111111-1-11111-1-11111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-111-1-1ii−i−iii−i−i−i−iii11-1-111−ii−iiii−i−i−ii
χ121111111-1-11111-1-11111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-111-1-1−i−iii−i−iiiii−i−i11-1-111i−ii−i−i−iiii−i
χ131111111-1-1-1-11111111111111-1-1-11-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ141111111-1-1-1-11111111111111-1-1-11-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ151111111-1-1-1-111111111111-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1ii−i−iii−i−iii−i−i1111-1-1−ii−i−i−iiiii−i
χ161111111-1-1-1-111111111111-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1−i−iii−i−iii−i−iii1111-1-1i−iiii−i−i−i−ii
χ1711-11-1111-11-11-11-11-111111111-11-1-1-111-1-1-1-1-111-1-11111-11-111-1-1111-1-1-111-1-11-11-1-11-11-11-11-11-11-111111-11-11-1-1-111-111-1-1-1
χ1811-11-1111-11-11-11-11-111111111-11-1-1-111-1-1-1-1-111-1-11111-11-111-1-1111-1-1-111-1-11-11-1-11-11-1-11-11-11-11-1-1-1-11-11-11-111-1-11-1-1111
χ1911-11-1111-11-11-11-11-111111-1-11-11-1-1-111-1-1-1-1-11111-1-1-11-11-111-1-1111-1-1-111-1-1-11-111-11-11i−i−iii−i−iiii−i−i-11-11-11−iiii−i−i−ii−ii
χ2011-11-1111-11-11-11-11-111111-1-11-11-1-1-111-1-1-1-1-11111-1-1-11-11-111-1-1111-1-1-111-1-1-11-111-11-11−iii−i−iii−i−i−iii-11-11-11i−i−i−iiii−ii−i
χ2111-11-1111-1-111-1-111-111111111-1-1-11-11-11-1-1-1-111-1-11111-1-1111-1-1-1-1-1111-1-1111-1-11-1-111-11-11-11-11-1-1-1-1-11-1-11-11-1-11-111-1111
χ2211-11-1111-1-111-1-111-111111111-1-1-11-11-11-1-1-1-111-1-11111-1-1111-1-1-1-1-1111-1-1111-1-11-1-111-1-11-11-11-1111111-1-11-1111-11-1-11-1-1-1
χ2311-11-1111-1-111-1-111-111111-1-11-1-1-11-11-11-1-1-1-11111-1-1-11-1-1111-1-1-1-1-1111-1-111-111-111-1-11i−i−iii−i−ii−i−iii-111-11-1−iii−ii−ii−ii−i
χ2411-11-1111-1-111-1-111-111111-1-11-1-1-11-11-11-1-1-1-11111-1-1-11-1-1111-1-1-1-1-1111-1-111-111-111-1-11−iii−i−iii−iii−i−i-111-11-1i−i−ii−ii−ii−ii
χ2511-11-111-111-11-1-111-11111111-111-1-1-11-11-1-1-1-111-1-1111-111-1-1-11111-11-1-1-1-111-111-1-1-111-11-11-11-11-1-1-1-1-1-111-1-1111-11-1-11-111
χ2611-11-111-111-11-1-111-11111111-111-1-1-11-11-1-1-1-111-1-1111-111-1-1-11111-11-1-1-1-111-111-1-1-111-1-11-11-11-111111-111-1-11-1-11-111-11-1-1
χ2711-11-111-111-11-1-111-111111-1-1-111-1-1-11-11-1-1-1-11111-1-1-1-111-1-1-11111-11-1-1-1-1111-1-1111-1-11i−i−iii−i−ii−i−iii1-1-111-1i−i−ii−ii−iii−i
χ2811-11-111-111-11-1-111-111111-1-1-111-1-1-11-11-1-1-1-11111-1-1-1-111-1-1-11111-11-1-1-1-1111-1-1111-1-11−iii−i−iii−iii−i−i1-1-111-1−iii−ii−ii−i−ii
χ2911-11-111-11-111-11-11-11111111-11-1-11-111-1-1-1-1-111-1-1111-11-11-1-111-1-11-11111-1-1-11-11-11-11-11-11-11-11-11111-11-111-111-1-11-1-11-1-1
χ3011-11-111-11-111-11-11-11111111-11-1-11-111-1-1-1-1-111-1-1111-11-11-1-111-1-11-11111-1-1-11-11-11-11-1-11-11-11-11-1-1-1-1-11-111-1-1-111-111-111
χ3111-11-111-11-111-11-11-111111-1-1-11-1-11-111-1-1-1-1-11111-1-1-1-11-11-1-111-1-11-11111-1-11-11-11-11-11i−i−iii−i−iiii−i−i1-11-1-11i−i−i−iiii−i−ii
χ3211-11-111-11-111-11-11-111111-1-1-11-1-11-111-1-1-1-1-11111-1-1-1-11-11-1-111-1-11-11111-1-11-11-11-11-11−iii−i−iii−i−i−iii1-11-1-11−iiii−i−i−iii−i
χ332222-2-22000022002-2-222222200020-2-20022-2-2-2-22-2-2220000000000000000000000200-2-22-22-2-22-2200000000000000000000
χ342222-2-22000022002-2-222222200020-2-20022-2-2-2-22-2-2220000000000000000000000200-2-2-22-222-22-200000000000000000000
χ352222-2-22000022002-2-22222-2-200020-2-20022-2-2-2-2-222-2-20000000000000000000000-200222i−2i−2i2i−2i2i2i−2i00000000000000000000
χ362222-2-22000022002-2-22222-2-200020-2-20022-2-2-2-2-222-2-20000000000000000000000-20022−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ37222-122-122222-1222-1-1-1-1-1-122-1-1-12-122-1-1-1-1-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-122-1-1000000000000-1-1-1-1-1-10000000000
χ38222-122-122222-1222-1-1-1-1-1-1-2-2-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2112222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21-2-2110000000000001111110000000000
χ39222-122-122-2-22-1-2-22-1-1-1-1-1-122-1-11212211-1-1-1-1-1-1222-1-122-2-2-1-1-1-111-2-211111122-2-2-1-2-2-1-1000000000000-1-111110000000000
χ40222-122-122-2-22-1-2-22-1-1-1-1-1-1-2-2-1-11212211-1-1-1-1-1-1-2-2-21122-2-2-1-1-1-111-2-2111111-2-2221221100000000000011-1-1-1-10000000000
χ41222-122-1-2-2222-1-2-22-1-1-1-1-1-12211-12-12211-1-1-1-1-1-1222-1-1-2-2221111-1-1-2-2-1-11111-2-222-1-2-2-1-100000000000011-1-1110000000000
χ42222-122-1-2-2222-1-2-22-1-1-1-1-1-1-2-211-12-12211-1-1-1-1-1-1-2-2-211-2-2221111-1-1-2-2-1-1111122-2-212211000000000000-1-111-1-10000000000
χ43222-122-1-2-2-2-22-1222-1-1-1-1-1-1221112122-1-1-1-1-1-1-1-1222-1-1-2-2-2-21111112211-1-1-1-1-2-2-2-2-122-1-10000000000001111-1-10000000000
χ44222-122-1-2-2-2-22-1222-1-1-1-1-1-1-2-21112122-1-1-1-1-1-1-1-1-2-2-211-2-2-2-21111112211-1-1-1-122221-2-211000000000000-1-1-1-1110000000000
χ4522-222-2200002-20022-2222222000-202-200-2-222-2-2-22-2220000000000000000000000-200-222222-2-2-2-200000000000000000000
χ4622-222-2200002-20022-2222222000-202-200-2-222-2-2-22-2220000000000000000000000-200-22-2-2-2-2222200000000000000000000
χ4722-222-2200002-20022-22222-2-2000-202-200-2-222-2-22-22-2-200000000000000000000002002-22i2i−2i−2i−2i−2i2i2i00000000000000000000
χ4822-222-2200002-20022-22222-2-2000-202-200-2-222-2-22-22-2-200000000000000000000002002-2−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ4922-2-1-22-12-22-2212-221-1-1-1-1-122-11-1-21-22-111111-1-1-2-22-1-12-22-2-1-111-1-12-211-1-1112-22-212-2-11000000000000-11-11-110000000000
χ5022-2-1-22-12-22-2212-221-1-1-1-1-1-2-2-11-1-21-22-111111-1-122-2112-22-2-1-111-1-12-211-1-111-22-22-1-221-10000000000001-11-11-10000000000
χ5122-2-1-22-12-2-2221-2221-1-1-1-1-122-111-2-1-221-11111-1-1-2-22-1-12-2-22-1-11111-22-1-111-1-12-2-221-22-11000000000000-111-11-10000000000
χ5222-2-1-22-12-2-2221-2221-1-1-1-1-1-2-2-111-2-1-221-11111-1-122-2112-2-22-1-11111-22-1-111-1-1-222-2-12-21-10000000000001-1-11-110000000000
χ5322-2-1-22-1-222-221-2221-1-1-1-1-1221-1-1-21-221-11111-1-1-2-22-1-1-222-211-1-1-1-1-221111-1-1-222-21-22-110000000000001-1-111-10000000000
χ5422-2-1-22-1-222-221-2221-1-1-1-1-1-2-21-1-1-21-221-11111-1-122-211-222-211-1-1-1-1-221111-1-12-2-22-12-21-1000000000000-111-1-110000000000
χ5522-2-1-22-1-22-22212-221-1-1-1-1-1221-11-2-1-22-111111-1-1-2-22-1-1-22-2211-1-1112-2-1-1-1-111-22-2212-2-110000000000001-11-1-110000000000
χ5622-2-1-22-1-22-22212-221-1-1-1-1-1-2-21-11-2-1-22-111111-1-122-211-22-2211-1-1112-2-1-1-1-1112-22-2-1-221-1000000000000-11-111-10000000000
χ5744444444444-1444-144-1-1-1-100444-14-1-144-1-1-1-1-1-100000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ58444444444-4-4-14-4-4-144-1-1-1-10044-4-1-4-1-1-4-4-1-1-1-1-1-100000-1-111-1-1-1-111111111110000000000000000000000000000000000000
χ594444444-4-444-14-4-4-144-1-1-1-100-4-44-14-1-1-4-4-1-1-1-1-1-10000011-1-11111-1-111-1-111110000000000000000000000000000000000000
χ604444444-4-4-4-4-1444-144-1-1-1-100-4-4-4-1-4-1-144-1-1-1-1-1-1000001111111111-1-111-1-1-1-10000000000000000000000000000000000000
χ61444-244-24444-1-244-1-2-21−i1521+i1521−i1521+i15200-2-2-2-1-2-1-1-2-21−i1521+i1521−i1521+i1521−i1521+i15200000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i152-1-11−i1521+i1521−i1521+i1521−i1521+i1520000000000000000000000000000000000000
χ62444-244-24444-1-244-1-2-21+i1521−i1521+i1521−i15200-2-2-2-1-2-1-1-2-21+i1521−i1521+i1521−i1521+i1521−i15200000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i152-1-11+i1521−i1521+i1521−i1521+i1521−i1520000000000000000000000000000000000000
χ63444-244-244-4-4-1-2-4-4-1-2-21−i1521+i1521−i1521+i15200-2-22-12-1-1221−i1521+i1521−i1521+i1521−i1521+i15200000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i15211−1+i152−1−i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000000000
χ64444-244-244-4-4-1-2-4-4-1-2-21+i1521−i1521+i1521−i15200-2-22-12-1-1221+i1521−i1521+i1521−i1521+i1521−i15200000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i15211−1−i152−1+i152−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000000000
χ65444-244-2-4-444-1-2-4-4-1-2-21−i1521+i1521−i1521+i1520022-2-1-2-1-1221−i1521+i1521−i1521+i1521−i1521+i1520000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i152111−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000000000
χ66444-244-2-4-444-1-2-4-4-1-2-21+i1521−i1521+i1521−i1520022-2-1-2-1-1221+i1521−i1521+i1521−i1521+i1521−i1520000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i152111+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000000000
χ67444-244-2-4-4-4-4-1-244-1-2-21−i1521+i1521−i1521+i15200222-12-1-1-2-21−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+i1520000000000000000000000000000000000000
χ68444-244-2-4-4-4-4-1-244-1-2-21+i1521−i1521+i1521−i15200222-12-1-1-2-21+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−i1520000000000000000000000000000000000000
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χ7244-44-4444-4-44-1-4-44-1-44-1-1-1-1004-4-4141-1-441111-1-100000-111-1-1-111111-1-1-111-1-10000000000000000000000000000000000000
χ7344-44-444-444-4-1-4-44-1-44-1-1-1-100-4441-41-1-441111-1-1000001-1-1111-1-1-1-11-11111-1-10000000000000000000000000000000000000
χ7444-44-444-44-44-1-44-4-1-44-1-1-1-100-44-4141-14-41111-1-1000001-11-111-1-111-11-1-1-1-1110000000000000000000000000000000000000
χ7544-4-24-4-2000042004-22-2-2-2-244000-404-40022-2-222-44-4-2-200000000000000000000002002-20000000000000000000000000000
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χ7744-4-2-44-24-44-4-124-4-12-21−i1521+i1521−i1521+i15200-22-2121-1-22−1+i152−1−i152−1+i152−1−i1521−i1521+i15200000-11-111−i1521+i152−1+i152−1−i1521−i1521+i152-11−1+i152−1−i1521−i1521+i152−1+i152−1−i1520000000000000000000000000000000000000
χ7844-4-2-44-24-44-4-124-4-12-21+i1521−i1521+i1521−i15200-22-2121-1-22−1−i152−1+i152−1−i152−1+i1521+i1521−i15200000-11-111+i1521−i152−1−i152−1+i1521+i1521−i152-11−1−i152−1+i1521+i1521−i152−1−i152−1+i1520000000000000000000000000000000000000
χ7944-4-2-44-24-4-44-12-44-12-21−i1521+i1521−i1521+i15200-2221-21-12-2−1+i152−1−i152−1+i152−1−i1521−i1521+i15200000-111-11−i1521+i152−1+i152−1−i152−1+i152−1−i1521-11−i1521+i152−1+i152−1−i1521−i1521+i1520000000000000000000000000000000000000
χ8044-4-2-44-24-4-44-12-44-12-21+i1521−i1521+i1521−i15200-2221-21-12-2−1−i152−1+i152−1−i152−1+i1521+i1521−i15200000-111-11+i1521−i152−1−i152−1+i152−1−i152−1+i1521-11+i1521−i152−1−i152−1+i1521+i1521−i1520000000000000000000000000000000000000
χ8144-4-2-44-2-444-4-12-44-12-21−i1521+i1521−i1521+i152002-2-2121-12-2−1+i152−1−i152−1+i152−1−i1521−i1521+i152000001-1-11−1+i152−1−i1521−i1521+i1521−i1521+i1521-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1520000000000000000000000000000000000000
χ8244-4-2-44-2-444-4-12-44-12-21+i1521−i1521+i1521−i152002-2-2121-12-2−1−i152−1+i152−1−i152−1+i1521+i1521−i152000001-1-11−1−i152−1+i1521+i1521−i1521+i1521−i1521-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1520000000000000000000000000000000000000
χ8344-4-2-44-2-44-44-124-4-12-21−i1521+i1521−i1521+i152002-221-21-1-22−1+i152−1−i152−1+i152−1−i1521−i1521+i152000001-11-1−1+i152−1−i1521−i1521+i152−1+i152−1−i152-111−i1521+i1521−i1521+i152−1+i152−1−i1520000000000000000000000000000000000000
χ8444-4-2-44-2-44-44-124-4-12-21+i1521−i1521+i1521−i152002-221-21-1-22−1−i152−1+i152−1−i152−1+i1521+i1521−i152000001-11-1−1−i152−1+i1521+i1521−i152−1−i152−1+i152-111+i1521−i1521+i1521−i152−1−i152−1+i1520000000000000000000000000000000000000
χ854-40400-400004000-40044-4-44-40000000000000000004-400000000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ864-40400-400004000-40044-4-44-40000000000000000004-4000000000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ874-40400-400004000-40044-4-4-44000000000000000000-440000000000000000000000000000000000022−22−22220000000000000000
χ884-40400-400004000-40044-4-4-44000000000000000000-4400000000000000000000000000000000000−222222−220000000000000000
χ898888-8-880000-2800-2-8-8-2-2-2-200000-202200-2-22222000000000000000000000000000000000000000000000000000000000000
χ90888-4-8-8-40000-2-400-2441−i151+i151−i151+i1500000-2022001−i151+i15−1+i15−1−i15−1+i15−1−i15000000000000000000000000000000000000000000000000000000000000
χ91888-4-8-8-40000-2-400-2441+i151−i151+i151−i1500000-2022001+i151−i15−1−i15−1+i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000
χ9288-888-880000-2-800-28-8-2-2-2-20000020-220022-2-222000000000000000000000000000000000000000000000000000000000000
χ9388-8-48-8-40000-2400-2-441−i151+i151−i151+i150000020-2200−1+i15−1−i151−i151+i15−1+i15−1−i15000000000000000000000000000000000000000000000000000000000000
χ9488-8-48-8-40000-2400-2-441+i151−i151+i151−i150000020-2200−1−i15−1+i151+i151−i15−1−i15−1+i15000000000000000000000000000000000000000000000000000000000000
χ958-80-400400008000-800-4-4448-8000000000000000000-440000000000000000000000000000000000000000000000000000000
χ968-80-400400008000-800-4-444-880000000000000000004-40000000000000000000000000000000000000000000000000000000
χ9716-1601600-160000-4000400-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000
χ9816-160-80080000-40004002−2i152+2i15−2+2i15−2−2i1500000000000000000000000000000000000000000000000000000000000000000000000000000
χ9916-160-80080000-40004002+2i152−2i15−2−2i15−2+2i1500000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).