Finite Group Databasebeta

← Group #14323892

Character table — Group #14323892

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222244444444444444444444444455558888888888888888888888101010101010161616161616161616161616202020202020202020202020303030303030303040404040606060606060606060606060
order12223446662224445661010101212121215153030303030302222661010121220202020303030306060606060606060446666101020203030303060606060222444661212121244444444661212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-1iii−i−i−iiii−i−i−i
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-1−i−i−iiii−i−i−iiii
χ5111111111111-1-1-1-11-1-111111-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-111-1
χ6111111111111-1-1-1-11-1-111111-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-11
χ7111111111111-1-1-1-11-1-111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111ii−i−iii−i−i-1-111−i−i−iiiiii−i−i−ii
χ8111111111111-1-1-1-11-1-111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111−i−iii−i−iii-1-111iii−i−i−i−i−iiii−i
χ91111111111-1-111-1-11111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-11-1-11-1-1-1-11-1-11
χ101111111111-1-111-1-11111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1
χ111111111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1ii−i−iii−i−i1111i−i−i−iii−i−iiii−i
χ121111111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1−i−iii−i−iii1111−iiii−i−iii−i−i−ii
χ131111111111-1-1-1-1111-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-111-111-111-1-1-1-1-1-1
χ141111111111-1-1-1-1111-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1111111
χ151111111111-1-1-1-1111-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111ii−i−iii−i−i11-1-1−iiii−i−i−i−i−iiii
χ161111111111-1-1-1-1111-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111−i−iii−i−iii11-1-1i−i−i−iiiiii−i−i−i
χ1711111-1-11111-11-11-1111111-1-1-1-11111111111111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-11-11-11-111-1-1-1-11111-1-1-1-11-11-1-11-1-11-11-111-11
χ1811111-1-11111-11-11-1111111-1-1-1-11111111111111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-11-11-11-111-1-1-1-1-1-1-1-111111-11-11-111-11-11-1-11-1
χ1911111-1-11111-11-11-1111111-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-11-111-1-111-1-1-11-11-11-1-11111ii−i−i−i−iii-11-11−ii−ii−iii−ii−ii−i
χ2011111-1-11111-11-11-1111111-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-11-111-1-111-1-1-11-11-11-1-11111−i−iiiii−i−i-11-11i−ii−ii−i−ii−ii−ii
χ2111111-1-11111-1-11-111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1111-1-11-11-1-1-1-1111111-1-1-1-11-1-111-111-111-1-11-1-1
χ2211111-1-11111-1-11-111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1111-1-11-11-1-1-1-111-1-1-1-111111-1-11-11-1-11-1-111-111
χ2311111-1-11111-1-11-111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-11-11111-1-1ii−i−i−i−iii-111-1i−ii−ii−ii−i−i−iii
χ2411111-1-11111-1-11-111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-11-11111-1-1−i−iiiii−i−i-111-1−ii−ii−ii−iiii−i−i
χ2511111-1-1111-111-1-11111111-1-1-1-1111111111111-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-111-1-1111-1-1-1-11111-1-1-1-1-11-11-1-11-1-11-111-111
χ2611111-1-1111-111-1-11111111-1-1-1-1111111111111-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-111-1-1111-1-1-1-1-1-1-1-11111-11-1111-111-11-1-11-1-1
χ2711111-1-1111-111-1-11111111-1-1-1-111111111-1-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-1111-1-111-1-1-11111ii−i−i−i−iii1-11-1−i−iiii−i−iiii−i−i
χ2811111-1-1111-111-1-11111111-1-1-1-111111111-1-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-1111-1-111-1-1-11111−i−iiiii−i−i1-11-1ii−i−i−iii−i−i−iii
χ2911111-1-1111-11-111-11-1-1111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-11-111-1-1-1-1-1111111-1-1-1-1-111-111-111-1-11-1-11-1
χ3011111-1-1111-11-111-11-1-1111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-11-111-1-1-1-1-111-1-1-1-11111-111-1-1-11-1-111-111-11
χ3111111-1-1111-11-111-11-1-1111-1-11111111111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-11-11-1-111111-1-1ii−i−i−i−iii1-1-11ii−i−i−ii−ii−ii−ii
χ3211111-1-1111-11-111-11-1-1111-1-11111111111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-11-11-1-111111-1-1−i−iiiii−i−i1-1-11−i−iiii−ii−ii−ii−i
χ332222-122-1-1-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100000000-1-1-1-1000000000000
χ342222-122-1-1-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111000000001111000000000000
χ352222-122-1-1-122-2-2-2-2211222-1-111-1-1-1-1-1-1-1-12222-1-1-2-21122-2-21111-1-1-1-1111122-1-1-1-122-2-2-1-1-1-1111122-2-2-2-211-1-11100000000-1-111000000000000
χ362222-122-1-1-122-2-2-2-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-21122-2-21111-1-1-1-11111-2-2111122-2-2-1-1-1-11111-2-22222-1-111-1-10000000011-1-1000000000000
χ372222-122-1-1-1-2-222-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-122221122112222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-222-2-2-1-1-1-1-1-1000000001111000000000000
χ382222-122-1-1-1-2-222-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21122112222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-2-22211111100000000-1-1-1-1000000000000
χ392222-122-1-1-1-2-2-2-222211222-1-111-1-1-1-1-1-1-1-1222211-2-2-1-122-2-21111-1-1-1-1111122-1-1-1-1-2-2221111-1-1-1-1-2-2-2-22211-1-1110000000011-1-1000000000000
χ402222-122-1-1-1-2-2-2-222211222-1-111-1-1-1-1-1-1-1-1-2-2-2-211-2-2-1-122-2-21111-1-1-1-11111-2-21111-2-2221111-1-1-1-12222-2-2-1-111-1-100000000-1-111000000000000
χ412222-1-2-2-1-1-12-22-22-22-1-12221111-1-1-1-1-1-1-1-12222-1122-11-2-2-2-2-1-1-1-111111111-2-2-1-1-1-12-22-2-1-111-1-1112-22-22-2-1-1111100000000-11-11000000000000
χ422222-1-2-2-1-1-12-22-22-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-2-1122-11-2-2-2-2-1-1-1-1111111112211112-22-2-1-111-1-111-22-22-2211-1-1-1-1000000001-11-1000000000000
χ432222-1-2-2-1-1-12-2-22-2221122211-1-1-1-1-1-1-1-1-1-12222-11-2-21-1-2-22211111111-1-1-1-1-2-2-1-1-1-12-2-22-1-11111-1-12-2-22-221111-1-100000000-111-1000000000000
χ442222-1-2-2-1-1-12-2-22-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-11-2-21-1-2-22211111111-1-1-1-12211112-2-22-1-11111-1-1-222-22-2-1-1-1-111000000001-1-11000000000000
χ452222-1-2-2-1-1-1-222-2-222-1-12221111-1-1-1-1-1-1-1-122221-1221-1-2-2-2-2-1-1-1-111111111-2-2-1-1-1-1-22-2211-1-111-1-1-222-2-22-1-11111000000001-11-1000000000000
χ462222-1-2-2-1-1-1-222-2-222-1-12221111-1-1-1-1-1-1-1-1-2-2-2-21-1221-1-2-2-2-2-1-1-1-111111111221111-22-2211-1-111-1-12-2-222-211-1-1-1-100000000-11-11000000000000
χ472222-1-2-2-1-1-1-22-222-221122211-1-1-1-1-1-1-1-1-1-122221-1-2-2-11-2-22211111111-1-1-1-1-2-2-1-1-1-1-222-211-1-1-1-111-22-222-21111-1-1000000001-1-11000000000000
χ482222-1-2-2-1-1-1-22-222-221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-21-1-2-2-11-2-22211111111-1-1-1-1221111-222-211-1-1-1-1112-22-2-22-1-1-1-11100000000-111-1000000000000
χ492-22-222-2-22-2000000200-22-22-20022-2-222-2-222-2-20000002-200000022-2-200002-222-2-2000000000000000000002-2002i−2i2i−2i2i−2i2i−2i0000000000000000
χ502-22-222-2-22-2000000200-22-22-20022-2-222-2-222-2-20000002-200000022-2-200002-222-2-2000000000000000000002-200−2i2i−2i2i−2i2i−2i2i0000000000000000
χ512-22-222-2-22-2000000200-22-22-20022-2-222-2-2-2-2220000002-200000022-2-20000-22-2-22200000000000000000000-22002-2-222-2-220000000000000000
χ522-22-222-2-22-2000000200-22-22-20022-2-222-2-2-2-2220000002-200000022-2-20000-22-2-22200000000000000000000-2200-222-2-222-20000000000000000
χ532-22-22-22-22-2000000200-22-2-220022-2-222-2-222-2-2000000-22000000-2-2220000-2222-2-200000000000000000000-22002i−2i2i−2i−2i2i−2i2i0000000000000000
χ542-22-22-22-22-2000000200-22-2-220022-2-222-2-222-2-2000000-22000000-2-2220000-2222-2-200000000000000000000-2200−2i2i−2i2i2i−2i2i−2i0000000000000000
χ552-22-22-22-22-2000000200-22-2-220022-2-222-2-2-2-222000000-22000000-2-22200002-2-2-222000000000000000000002-2002-2-22-222-20000000000000000
χ562-22-22-22-22-2000000200-22-2-220022-2-222-2-2-2-222000000-22000000-2-22200002-2-2-222000000000000000000002-200-222-22-2-220000000000000000
χ574444444444444444-144-1-1-14444-1-1-1-1-1-1-1-1000044-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ58444444444444-4-4-4-4-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-100004411-4-4-1-1111111-1-1-1-11111000000-1-111-1-1-1-11111000000000000000000000000000000000000
χ594444444444-4-444-4-4-144-1-1-14444-1-1-1-1-1-1-1-10000-4-4-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111111111111000000000000000000000000000000000000
χ604444444444-4-4-4-444-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-10000-4-41144-1-1111111-1-1-1-1111100000011-1-11111-1-1-1-1000000000000000000000000000000000000
χ6144444-4-44444-44-44-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-100004-4-1-14-41111-1-1-1-111111111000000-11-11-1-111-1-111000000000000000000000000000000000000
χ6244444-4-44444-4-44-44-1-4-4-1-1-1-4-444-1-1-1-1-1-1-1-100004-411-4411-1-111111111-1-1-1-1000000-111-1-1-11111-1-1000000000000000000000000000000000000
χ6344444-4-4444-444-4-44-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-10000-44-1-1-441111-1-1-1-1111111110000001-11-111-1-111-1-1000000000000000000000000000000000000
χ6444444-4-4444-44-444-4-1-4-4-1-1-1-4-444-1-1-1-1-1-1-1-10000-44114-411-1-111111111-1-1-1-10000001-1-1111-1-1-1-111000000000000000000000000000000000000
χ654444-244-2-2-2444444-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-2-2-1-1-2-2-1-1-1-11−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000000000000
χ664444-244-2-2-2444444-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-2-2-1-1-2-2-1-1-1-11+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000000000000
χ674444-244-2-2-244-4-4-4-4-122-1-1-1-2-2221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-2-21122-1-111−1+i152−1+i152−1−i152−1−i1521−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152000000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000000
χ684444-244-2-2-244-4-4-4-4-122-1-1-1-2-2221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-2-21122-1-111−1−i152−1−i152−1+i152−1+i1521+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152000000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.