Finite Group Databasebeta

← Group #14417941

Character table — Group #14417941

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222244444444444444444444444455558888888888888888888888101010101010161616161616161616161616202020202020202020202020303030303030303040404040606060606060606060606060
order1244234612122244568810121515202024242424303060606060224466101212203030404040406060120120120120120120120120246612121010202030303030606060602244688122424242488888888661212444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1ii−i−iiiii−i−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−i−i−iiiii-1-1-1-1−i−iii−i−i−i−iiiii
χ511111111111-11-111-1-1111111-1-1-1-111111111111-111-1111-1-1-1-111-1-1-1-1-1-1-1-11111111-11-111-1-111-1-11-11-11-1-11-1-1-1-1111111111-11-1-1-1-1-111-1-111-1-1
χ611111111111-11-111-1-1111111-1-1-1-111111111111-111-1111-1-1-1-111-1-1-1-1-1-1-1-11111111-11-111-1-111-1-11-11-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-111
χ711111111111-11-111-1-1111111-1-1-1-1111111-1-1-1-11-111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11-11-111-11111iiii−i−i−i−i-11-11−i−iiiii−i−i−i−iii
χ811111111111-11-111-1-1111111-1-1-1-1111111-1-1-1-11-111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11-11-111-11111−i−i−i−iiiii-11-11ii−i−i−i−iiiii−i−i
χ91111111111-11-1111-1-1111111-1-1-1-11111111111-111-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-1-111-1-111-11-111-1-11-1-1-1-111111111-11-11-1-1-1-1-1-111-1-111
χ101111111111-11-1111-1-1111111-1-1-1-11111111111-111-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-1-111-1-111-11-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1
χ111111111111-11-1111-1-1111111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-11-1-111-11111iiii−i−i−i−i1-11-1−i−iii−i−iiiii−i−i
χ121111111111-11-1111-1-1111111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-11-1-111-11111−i−i−i−iiiii1-11-1ii−i−iii−i−i−i−iii
χ131111111111-1-1-1-1111111111111111111111111-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ141111111111-1-1-1-1111111111111111111111111-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ151111111111-1-1-1-111111111111111111111-1-1-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111ii−i−i−i−i−i−iiiii
χ161111111111-1-1-1-111111111111111111111-1-1-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−iiiiiii−i−i−i−i
χ1711-1-1-1111-1-111-1-11-11-11111-1-111-1-111-1-1-1-111-1-111-1-1-11-1-111-1-1111111-1-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1-11-1111-1-1ii−i−iii−i−i11-1-1i−ii−ii−ii−ii−ii−i
χ1811-1-1-1111-1-111-1-11-11-11111-1-111-1-111-1-1-1-111-1-111-1-1-11-1-111-1-1111111-1-1-1-1-1111-1-111-1-11111-1-1-1-111-1-1-11-1111-1-1−i−iii−i−iii11-1-1−ii−ii−ii−ii−ii−ii
χ1911-1-1-1111-1-111-1-11-11-11111-1-111-1-111-1-1-1-1-1-11111-1-1-11-1-111-1-1111111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-111-1-1111-1-111-11-1-11-11
χ2011-1-1-1111-1-111-1-11-11-11111-1-111-1-111-1-1-1-1-1-11111-1-1-11-1-111-1-1111111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1111-11-1-1-111-1-11111-1-1-1-111-111-1-11-111-11-1
χ2111-1-1-1111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-111-1-11-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-11-1-1111-1-1-1-1111-1-11-1-111-1-111ii−i−iii−i−i1-1-11−ii−iii−i−iii−i−ii
χ2211-1-1-1111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-111-1-11-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-11-1-1111-1-1-1-1111-1-11-1-111-1-111−i−iii−i−iii1-1-11i−ii−i−iii−i−iii−i
χ2311-1-1-1111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1111-1-1111-1-1-1-111-111-111-1-111-1-111-1-1-1-111-111-1-111-11-1-11-111-1
χ2411-1-1-1111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1111-1-1111-1-1-1-111-111-111-1-111-1-1-1-11111-1-1-111-11-1-11-111-11-1-11
χ2511-1-1-1111-1-1-111-11-1-111111-1-1-1-11111-1-1-1-111-1-1-11-11-11-1-1-1-11111-1-1-1-11111-1111-1-1-111-1-1-11111-1-1-111-1-1-111-1-111ii−i−iii−i−i-111-1−ii−ii−iii−i−iii−i
χ2611-1-1-1111-1-1-111-11-1-111111-1-1-1-11111-1-1-1-111-1-1-11-11-11-1-1-1-11111-1-1-1-11111-1111-1-1-111-1-1-11111-1-1-111-1-1-111-1-111−i−iii−i−iii-111-1i−ii−ii−i−iii−i−ii
χ2711-1-1-1111-1-1-111-11-1-111111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1-1-1-11111-1-1-1-111111-1-1-111-111-1-1-11111-1-11-1-1111-1-111-1-111-1-1-1-1111-1-11-111-1-111-11-1-11
χ2811-1-1-1111-1-1-111-11-1-111111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1-1-1-11111-1-1-1-111111-1-1-111-111-1-1-11111-1-11-1-1111-1-111-1-1-1-11111-1-11-1-111-1-111-1-11-111-1
χ2911-1-1-1111-1-1-1-1111-11-11111-1-111-1-111-1-1-1-111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-111-11-1111-1-1ii−i−iii−i−i-1-111i−ii−i−ii−ii−ii−ii
χ3011-1-1-1111-1-1-1-1111-11-11111-1-111-1-111-1-1-1-111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-111-11-1111-1-1−i−iii−i−iii-1-111−ii−iii−ii−ii−ii−i
χ3111-1-1-1111-1-1-1-1111-11-11111-1-111-1-111-1-1-1-1-1-111-1-1-1111-1-111-1-1111111-1-1-1-11-1-1-111-1-111-1-1-1-1111111-1-11-11-1-1-11111-1-1-1-11111-1-11-1-11-11-111-11-1
χ3211-1-1-1111-1-1-1-1111-11-11111-1-111-1-111-1-1-1-1-1-111-1-1-1111-1-111-1-1111111-1-1-1-11-1-1-111-1-111-1-1-1-1111111-1-11-11-1-1-111-1-11111-1-111-1-1-111-11-11-1-11-11
χ3322222-12-1-1-122222-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-122-1-1-1-1-100000000-1-1-1-1000000000000
χ3422222-12-1-1-122222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2-2-21-2-211111000000001111000000000000
χ3522222-12-1-1-12-22-22-1-2-22-1-1-1221111-1-1-1-1-1-12222-112-112-1-1-2-2-2-2-1-11111111122-1-1-1-12-22-2-1-111-1-1112-22-2-1-2-2-1111100000000-11-11000000000000
χ3622222-12-1-1-12-22-22-1-2-22-1-1-1221111-1-1-1-1-1-1-2-2-2-2-112-112-1-1-2-2-2-2-1-111111111-2-211112-22-2-1-111-1-111-22-221221-1-1-1-1000000001-11-1000000000000
χ3722222-12-1-1-1-22-222-1-2-22-1-1-1221111-1-1-1-1-1-122221-121-12-1-1-2-2-2-2-1-11111111122-1-1-1-1-22-2211-1-111-1-1-22-22-1-2-2-11111000000001-11-1000000000000
χ3822222-12-1-1-1-22-222-1-2-22-1-1-1221111-1-1-1-1-1-1-2-2-2-21-121-12-1-1-2-2-2-2-1-111111111-2-21111-22-2211-1-111-1-12-22-21221-1-1-1-100000000-11-11000000000000
χ3922222-12-1-1-1-2-2-2-22-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222112112-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2-122-1-1-1-1-1000000001111000000000000
χ4022222-12-1-1-1-2-2-2-22-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2112112-1-12222-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122221-2-21111100000000-1-1-1-1000000000000
χ412222-22-222200002-2002-222220000222222222200-200-2-2-20000-2-200000000-2-222220000000000000000-200-200002-22-22-22-20000000000000000
χ422222-22-222200002-2002-222220000222222222200-200-2-2-20000-2-200000000-2-222220000000000000000-200-20000-22-22-22-220000000000000000
χ432222-22-222200002-2002-222220000222222-2-2-2-200-200-2-2-20000-2-20000000022-2-2-2-20000000000000000200200002i−2i2i−2i−2i2i−2i2i0000000000000000
χ442222-22-222200002-2002-222220000222222-2-2-2-200-200-2-2-20000-2-20000000022-2-2-2-2000000000000000020020000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ4522-2-222-22-2-2000022002-222-2-2000022-2-2-2-222-2-200200-2220000-2-2000000002-222-2-20000000000000000200-200002i−2i−2i2i2i−2i−2i2i0000000000000000
χ4622-2-222-22-2-2000022002-222-2-2000022-2-2-2-222-2-200200-2220000-2-2000000002-222-2-20000000000000000200-20000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ4722-2-222-22-2-2000022002-222-2-2000022-2-2-2-2-2-22200200-2220000-2-200000000-22-2-2220000000000000000-200200002-2-22-222-20000000000000000
χ4822-2-222-22-2-2000022002-222-2-2000022-2-2-2-2-2-22200200-2220000-2-200000000-22-2-2220000000000000000-20020000-222-22-2-220000000000000000
χ4922-2-2-2-12-11122-2-2212-22-1-1-1-2-2-1-111-1-1111122-2-2-1-1-21121122-2-2-1-1-1-1-1-11111-22-1-11122-2-2-1-1-1-1111122-2-212-2-1-1-11100000000-1-111000000000000
χ5022-2-2-2-12-11122-2-2212-22-1-1-1-2-2-1-111-1-11111-2-222-1-1-21121122-2-2-1-1-1-1-1-111112-211-1-122-2-2-1-1-1-11111-2-222-1-22111-1-10000000011-1-1000000000000
χ5122-2-2-2-12-1112-2-2221-222-1-1-1-2-211-1-1-1-1111122-2-2-11-21-1211-2-222-1-11111-1-1-1-1-22-1-1112-2-22-1-11111-1-12-2-221-22-111-1-100000000-111-1000000000000
χ5222-2-2-2-12-1112-2-2221-222-1-1-1-2-211-1-1-1-11111-2-222-11-21-1211-2-222-1-11111-1-1-1-12-211-1-12-2-22-1-11111-1-1-222-2-12-21-1-111000000001-1-11000000000000
χ5322-2-2-2-12-111-222-221-222-1-1-1-2-211-1-1-1-1111122-2-21-1-2-11211-2-222-1-11111-1-1-1-1-22-1-111-222-211-1-1-1-111-222-21-22-111-1-1000000001-1-11000000000000
χ5422-2-2-2-12-111-222-221-222-1-1-1-2-211-1-1-1-11111-2-2221-1-2-11211-2-222-1-11111-1-1-1-12-211-1-1-222-211-1-1-1-1112-2-22-12-21-1-11100000000-111-1000000000000
χ5522-2-2-2-12-111-2-222212-22-1-1-1-2-2-1-111-1-1111122-2-211-2-1-121122-2-2-1-1-1-1-1-11111-22-1-111-2-2221111-1-1-1-1-2-22212-2-1-1-1110000000011-1-1000000000000
χ5622-2-2-2-12-111-2-222212-22-1-1-1-2-2-1-111-1-11111-2-22211-2-1-121122-2-2-1-1-1-1-1-111112-211-1-1-2-2221111-1-1-1-122-2-2-1-22111-1-100000000-1-111000000000000
χ5744444444444444-1444-14-1-1-1-14444-1-1-1-1-1-1000044-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5844444444444-44-4-14-4-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-100004-4-14-4-1-1-11111-1-111111111000000-11-11-1-111-1-111000000000000000000000000000000000000
χ594444444444-44-44-14-4-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-10000-44-1-44-1-1-11111-1-1111111110000001-11-111-1-111-1-1000000000000000000000000000000000000
χ604444444444-4-4-4-4-1444-14-1-1-1-14444-1-1-1-1-1-10000-4-4-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111111111111000000000000000000000000000000000000
χ6144444-24-2-2-24444-1-244-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i1520000-2-2-1-2-2-11−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000000000000
χ6244444-24-2-2-24444-1-244-1-21+i1521−i152-1-1-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i1520000-2-2-1-2-2-11+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000000000000
χ6344444-24-2-2-24-44-4-1-2-4-4-1-21−i1521+i152-1-122221−i1521+i1521−i1521−i1521+i1521+i1520000-22-1-22-11−i1521+i15211111−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000000-11-111−i1521+i152−1+i152−1−i1521−i1521+i152−1+i152−1−i152000000000000000000000000000000000000
χ6444444-24-2-2-24-44-4-1-2-4-4-1-21+i1521−i152-1-122221+i1521−i1521+i1521+i1521−i1521−i1520000-22-1-22-11+i1521−i15211111+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000000-11-111+i1521−i152−1−i152−1+i1521+i1521−i152−1−i152−1+i152000000000000000000000000000000000000
χ6544444-24-2-2-2-44-44-1-2-4-4-1-21−i1521+i152-1-122221−i1521+i1521−i1521−i1521+i1521+i15200002-2-12-2-11−i1521+i15211111−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520000001-11-1−1+i152−1−i1521−i1521+i152−1+i152−1−i1521−i1521+i152000000000000000000000000000000000000
χ6644444-24-2-2-2-44-44-1-2-4-4-1-21+i1521−i152-1-122221+i1521−i1521+i1521+i1521−i1521−i15200002-2-12-2-11+i1521−i15211111+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520000001-11-1−1−i152−1+i1521+i1521−i152−1−i152−1+i1521+i1521−i152000000000000000000000000000000000000
χ6744444-24-2-2-2-4-4-4-4-1-244-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i152000022-122-11−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.