Finite Group Databasebeta

← Group #14331242

Character table — Group #14331242

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222244444444444444444444444445555888888888888888888888810101010161616161616161616161616202020202020202020202020204040404060606060606060606060606060606060
order1222366644444445101010121212121212151530303030303022221212121220202020202060606060606060606060606066662020202060606060606060604444444121212121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111-1-111-1-1111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111-1-111-1-1111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ11111111111-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111111-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111-1-1-1-111111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-111111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711111111-11-11-11-11111-1-111-1-11111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-11-11-11-1-1-111-1-11-11-11-11-11-11-11-11-11-11-1
χ1811111111-11-11-11-11111-1-111-1-11111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-11-11-11-1-1-111-1-11-11-1-11-11-11-11-11-11-11-11
χ1911111111-11-11-11-11111-1-111-1-111111111-1-1-1-11-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-11-1111-1-111-11-11i−ii−ii−ii−i−ii−ii−ii−ii
χ2011111111-11-11-11-11111-1-111-1-111111111-1-1-1-11-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-11-1111-1-111-11-11−ii−ii−ii−iii−ii−ii−ii−i
χ2111111111-11-1-11-111111-1-111-1-1111111111111-11-11-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-11-1-11-11-1-111-1-1-11-111-11-1-11-111-11-1-11-11
χ2211111111-11-1-11-111111-1-111-1-1111111111111-11-11-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-11-1-11-11-1-111-1-1-11-11-11-111-11-1-11-111-11-1
χ2311111111-11-1-11-111111-1-111-1-111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-111-11-111-1-1111-11-1i−ii−i−ii−ii−ii−iii−ii−i
χ2411111111-11-1-11-111111-1-111-1-111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-111-11-111-1-1111-11-1−ii−iii−ii−ii−ii−i−ii−ii
χ2511111111-1-111-1-111111-1-1-1-1111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111-1-11-1-1-1-1111-1-111-1-111-1-111-1-111-1-11
χ2611111111-1-111-1-111111-1-1-1-1111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111-1-11-1-1-1-1111-1-11-111-1-111-1-111-1-111-1
χ2711111111-1-111-1-111111-1-1-1-11111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-111-11111-1-1-111-1i−i−iii−i−ii−iii−i−iii−i
χ2811111111-1-111-1-111111-1-1-1-11111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-111-11111-1-1-111-1−iii−i−iii−ii−i−iii−i−ii
χ2911111111-1-11-111-11111-1-1-1-111111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-11-1-11-111-11-1-11-111-1
χ3011111111-1-11-111-11111-1-1-1-111111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-1-111-11-1-11-111-11-1-11
χ3111111111-1-11-111-11111-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-11-1-111111-1-11-1-11i−i−ii−iii−i−iii−ii−i−ii
χ3211111111-1-11-111-11111-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-11-1-111111-1-11-1-11−iii−ii−i−iii−i−ii−iii−i
χ332222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111111110000000000000000
χ352222-1-1-1-1222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111222-2-2-2-2-1-1-1-1-1-111110000000000000000
χ362222-1-1-1-1222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-22222111111-1-1-1-10000000000000000
χ372222-1-1-1-12-2-222-2-22222-1-11111-1-1-1-1-1-1-1-12222-1-11122-2-2-2-2-1-1-1-111111111-1-1-1-122-2-2-1-1-1-111112-2-222-2-2-1-11111-1-1110000000000000000
χ382222-1-1-1-12-2-222-2-22222-1-11111-1-1-1-1-1-1-1-1-2-2-2-2-1-11122-2-2-2-2-1-1-1-111111111111122-2-2-1-1-1-11111-222-2-22211-1-1-1-111-1-10000000000000000
χ392222-1-1-1-12-2-2-2-2222222-1-11111-1-1-1-1-1-1-1-1222211-1-122-2-2-2-2-1-1-1-111111111-1-1-1-1-2-2221111-1-1-1-12-2-2-2-222-1-1111111-1-10000000000000000
χ402222-1-1-1-12-2-2-2-2222222-1-11111-1-1-1-1-1-1-1-1-2-2-2-211-1-122-2-2-2-2-1-1-1-1111111111111-2-2221111-1-1-1-1-22222-2-211-1-1-1-1-1-1110000000000000000
χ412222-1-1-1-1-22-22-22-2222211-1-111-1-1-1-1-1-1-1-12222-11-11-2-222-2-21111-1-1-1-11111-1-1-1-12-22-2-1-111-1-111-22-22-22-211-1-111-11-110000000000000000
χ422222-1-1-1-1-22-22-22-2222211-1-111-1-1-1-1-1-1-1-1-2-2-2-2-11-11-2-222-2-21111-1-1-1-1111111112-22-2-1-111-1-1112-22-22-22-1-111-1-11-11-10000000000000000
χ432222-1-1-1-1-22-2-22-22222211-1-111-1-1-1-1-1-1-1-122221-11-1-2-222-2-21111-1-1-1-11111-1-1-1-1-22-2211-1-111-1-1-22-2-22-2211-1-1111-11-10000000000000000
χ442222-1-1-1-1-22-2-22-22222211-1-111-1-1-1-1-1-1-1-1-2-2-2-21-11-1-2-222-2-21111-1-1-1-111111111-22-2211-1-111-1-12-222-22-2-1-111-1-1-11-110000000000000000
χ452222-1-1-1-1-2-222-2-2222221111-1-1-1-1-1-1-1-1-1-12222-111-1-2-2-2-22211111111-1-1-1-1-1-1-1-12-2-22-1-11111-1-1-2-222-2-221111-1-1-111-10000000000000000
χ462222-1-1-1-1-2-222-2-2222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-2-111-1-2-2-2-22211111111-1-1-1-111112-2-22-1-11111-1-122-2-222-2-1-1-1-1111-1-110000000000000000
χ472222-1-1-1-1-2-22-222-222221111-1-1-1-1-1-1-1-1-1-122221-1-11-2-2-2-22211111111-1-1-1-1-1-1-1-1-222-211-1-1-1-111-2-22-222-21111-1-11-1-110000000000000000
χ482222-1-1-1-1-2-22-222-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-21-1-11-2-2-2-22211111111-1-1-1-11111-222-211-1-1-1-11122-22-2-22-1-1-1-111-111-10000000000000000
χ49444444444444444-1-1-1-1444444-1-1-1-1-1-1-1-100004444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ5044444444444-4-4-4-4-1-1-1-1444444-1-1-1-1-1-1-1-10000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000111111111111000000000000000000000000000000000
χ51444444444-4-444-4-4-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-1000044-4-4-1-11111-1-1-1-1111111110000-1-111-1-1-1-11111000000000000000000000000000000000
χ52444444444-4-4-4-444-1-1-1-144-4-4-4-4-1-1-1-1-1-1-1-10000-4-444-1-11111-1-1-1-111111111000011-1-11111-1-1-1-1000000000000000000000000000000000
χ5344444444-44-44-44-4-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-100004-44-411-1-1111111-1-1-1-111110000-11-11-1-111-1-111000000000000000000000000000000000
χ5444444444-44-4-44-44-1-1-1-1-4-444-4-4-1-1-1-1-1-1-1-10000-44-4411-1-1111111-1-1-1-1111100001-11-111-1-111-1-1000000000000000000000000000000000
χ5544444444-4-444-4-44-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-100004-4-441111-1-111111111-1-1-1-10000-111-1-1-11111-1-1000000000000000000000000000000000
χ5644444444-4-44-444-4-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-10000-444-41111-1-111111111-1-1-1-100001-1-1111-1-1-1-111000000000000000000000000000000000
χ574444-2-2-2-24444444-1-1-1-1-2-2-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1520000-2-2-2-2-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000000000
χ584444-2-2-2-24444444-1-1-1-1-2-2-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1520000-2-2-2-2-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000000000
χ594444-2-2-2-2444-4-4-4-4-1-1-1-1-2-2-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200002222-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i15200001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000
χ604444-2-2-2-2444-4-4-4-4-1-1-1-1-2-2-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15200002222-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i15200001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000
χ614444-2-2-2-24-4-444-4-4-1-1-1-1-2-222221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1520000-2-222-1-111111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000
χ624444-2-2-2-24-4-444-4-4-1-1-1-1-2-222221+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1520000-2-222-1-111111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000
χ634444-2-2-2-24-4-4-4-444-1-1-1-1-2-222221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152000022-2-2-1-111111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i152000000000000000000000000000000000
χ644444-2-2-2-24-4-4-4-444-1-1-1-1-2-222221+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152000022-2-2-1-111111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i152000000000000000000000000000000000
χ654444-2-2-2-2-44-44-44-4-1-1-1-122-2-2221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1520000-22-2211-1-111−1+i152−1+i152−1−i152−1−i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i1520000-11-111−i1521+i152−1+i152−1−i1521−i1521+i152−1+i152−1−i152000000000000000000000000000000000
χ664444-2-2-2-2-44-44-44-4-1-1-1-122-2-2221+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1520000-22-2211-1-111−1−i152−1−i152−1+i152−1+i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i1520000-11-111+i1521−i152−1−i152−1+i1521+i1521−i152−1−i152−1+i152000000000000000000000000000000000
χ674444-2-2-2-2-44-4-44-44-1-1-1-122-2-2221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200002-22-211-1-111−1+i152−1+i152−1−i152−1−i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i15200001-11-1−1+i152−1−i1521−i1521+i152−1+i152−1−i1521−i1521+i152000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.