Finite Group Databasebeta

← Group #14330859

Character table — Group #14330859

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222244444444444444444444444445555888888888888888888888810101010161616161616161616161616202020202020202020202020204040404060606060606060606060606060606060
order12223666222444456610101012121212151530303030303022226610101212202020203030303060606060606060606666101020203030303060606060222444466121212126612124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiii−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−iii−i−i−i−i−i−iiiiiii
χ51111111111-11-1-1-1111111-1-1-1-11111111111111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-11-1-1-111-1-1-1-11-11-11-11-1111-1-1-1111-1-1-1
χ61111111111-11-1-1-1111111-1-1-1-11111111111111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-11-1-1-111-1-1-1-11-11-1-11-11-1-1-1111-1-1-1111
χ71111111111-11-1-1-1111111-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-11-1111-1-11111-11-11i−i−iiiii−i−i−i−i−i−iiii
χ81111111111-11-1-1-1111111-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-11-1111-1-11111-11-11−iii−i−i−i−iiiiiii−i−i−i
χ9111111111-11-11-1-1111111-1-1-1-1111111111111-1111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111-11-11-1-111-1-1-1-1-11-111-11-11-1-111-11-1-111-1
χ10111111111-11-11-1-1111111-1-1-1-1111111111111-1111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111-11-11-1-111-1-1-1-1-11-11-11-11-111-1-11-111-1-11
χ11111111111-11-11-1-1111111-1-1-1-111111111-1-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-11-111-1-111111-11-1i−i−iii−i−iii−i−iii−i−ii
χ12111111111-11-11-1-1111111-1-1-1-111111111-1-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-11-111-1-111111-11-1−iii−i−iii−i−iii−i−iii−i
χ13111111111-1-1-1-1111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-111111-1-1-1-111-1-1-1-11
χ14111111111-1-1-1-1111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-11111-1
χ15111111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−ii−i−i−i−ii−iiiii−i
χ16111111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−iiiii−ii−i−i−i−ii
χ1711111111-111-1-11-11-1-111111-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-111-1-11-1-1-111-1-111-1-11-11-1-11-11-11-11-11-11
χ1811111111-111-1-11-11-1-111111-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-111-1-11-1-1-111-1-111-1-1-11-111-11-11-11-11-11-1
χ1911111111-111-1-11-11-1-111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1111-1-111-1-111i−i−ii−ii−ii−iii−ii−ii−i
χ2011111111-111-1-11-11-1-111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-111-1111-1-111-1-111−iii−ii−ii−ii−i−ii−ii−ii
χ2111111111-11-1-11-111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-11-1-11-11-1-1-1-1111-1-111111-11-1-11-1-11-1-11-1
χ2211111111-11-1-11-111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-11-1-11-11-1-1-1-1111-1-11-1-1-1-11-111-111-111-11
χ2311111111-11-1-11-111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-111-11-11111-1-1-111-1ii−i−i−ii−i−ii−ii−iii−ii
χ2411111111-11-1-11-111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-111-11-11111-1-1-111-1−i−iiii−iii−ii−ii−i−ii−i
χ2511111111-1-111-1-111-1-1111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-1-111-1-11-1-1-1-111-111-11111-1-111-1-1-1-111-1-1
χ2611111111-1-111-1-111-1-1111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-1-111-1-11-1-1-1-111-111-1-1-1-1-111-1-11111-1-111
χ2711111111-1-111-1-111-1-1111-1-11111111111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-111-11111-1-11-1-11ii−i−i−i−iii−i−iii−i−iii
χ2811111111-1-111-1-111-1-1111-1-11111111111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-111-11111-1-11-1-11−i−iiiii−i−iii−i−iii−i−i
χ2911111111-1-1-1111-11-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1111-1-1-111-1-1-1-1111-11-1-1-11-111-1-11-111
χ3011111111-1-1-1111-11-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1111-1-1-111-1-1-1-111-11-1111-11-1-111-11-1-1
χ3111111111-1-1-1111-11-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1111-1-11111-1-1i−i−ii−i−ii−iiiii−ii−i−i
χ3211111111-1-1-1111-11-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1111-1-11111-1-1−iii−iii−ii−i−i−i−ii−iii
χ332222-1-1-1-122222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222-1-1-1-122222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111111110000000000000000
χ352222-1-1-1-122-22-2-2-22-1-12221111-1-1-1-1-1-1-1-12222-1122-11-2-2-2-2-1-1-1-111111111-1-1-1-12-22-2-1-111-1-11122-22-2-2-2-1-11111-11-110000000000000000
χ362222-1-1-1-122-22-2-2-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-2-1122-11-2-2-2-2-1-1-1-11111111111112-22-2-1-111-1-111-2-22-222211-1-1-1-11-11-10000000000000000
χ372222-1-1-1-12-22-22-2-22-1-12221111-1-1-1-1-1-1-1-122221-1221-1-2-2-2-2-1-1-1-111111111-1-1-1-1-22-2211-1-111-1-12-22-22-2-2-1-111111-11-10000000000000000
χ382222-1-1-1-12-22-22-2-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-21-1221-1-2-2-2-2-1-1-1-1111111111111-22-2211-1-111-1-1-22-22-22211-1-1-1-1-11-110000000000000000
χ392222-1-1-1-12-2-2-2-2222-1-1222-1-1-1-1-1-1-1-1-1-1-1-122221122112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111112-2-2-2-222-1-1-1-1-1-111110000000000000000
χ402222-1-1-1-12-2-2-2-2222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21122112222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111-22222-2-2111111-1-1-1-10000000000000000
χ412222-1-1-1-1-222-2-22-2211222-1-111-1-1-1-1-1-1-1-12222-1-1-2-21122-2-21111-1-1-1-11111-1-1-1-122-2-2-1-1-1-11111-222-2-22-211-1-111-1-1110000000000000000
χ422222-1-1-1-1-222-2-22-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-21122-2-21111-1-1-1-11111111122-2-2-1-1-1-111112-2-222-22-1-111-1-111-1-10000000000000000
χ432222-1-1-1-1-22-2-22-2221122211-1-1-1-1-1-1-1-1-1-12222-11-2-21-1-2-22211111111-1-1-1-1-1-1-1-12-2-22-1-11111-1-1-22-2-22-221111-1-1-111-10000000000000000
χ442222-1-1-1-1-22-2-22-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-11-2-21-1-2-22211111111-1-1-1-111112-2-22-1-11111-1-12-222-22-2-1-1-1-1111-1-110000000000000000
χ452222-1-1-1-1-2-222-2-2221122211-1-1-1-1-1-1-1-1-1-122221-1-2-2-11-2-22211111111-1-1-1-1-1-1-1-1-222-211-1-1-1-111-2-222-2-221111-1-11-1-110000000000000000
χ462222-1-1-1-1-2-222-2-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-21-1-2-2-11-2-22211111111-1-1-1-11111-222-211-1-1-1-11122-2-222-2-1-1-1-111-111-10000000000000000
χ472222-1-1-1-1-2-2-2222-2211222-1-111-1-1-1-1-1-1-1-1222211-2-2-1-122-2-21111-1-1-1-11111-1-1-1-1-2-2221111-1-1-1-1-2-2-2222-211-1-11111-1-10000000000000000
χ482222-1-1-1-1-2-2-2222-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-211-2-2-1-122-2-21111-1-1-1-111111111-2-2221111-1-1-1-1222-2-2-22-1-111-1-1-1-1110000000000000000
χ49444444444444444-144-1-1-14444-1-1-1-1-1-1-1-1000044-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ504444444444-44-4-4-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-100004-4-1-14-41111-1-1-1-1111111110000-11-11-1-111-1-111000000000000000000000000000000000
χ51444444444-44-44-4-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-10000-44-1-1-441111-1-1-1-11111111100001-11-111-1-111-1-1000000000000000000000000000000000
χ52444444444-4-4-4-444-144-1-1-14444-1-1-1-1-1-1-1-10000-4-4-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000111111111111000000000000000000000000000000000
χ5344444444-444-4-44-4-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-100004411-4-4-1-1111111-1-1-1-111110000-1-111-1-1-1-11111000000000000000000000000000000000
χ5444444444-44-4-44-44-1-4-4-1-1-1-4-444-1-1-1-1-1-1-1-100004-411-4411-1-111111111-1-1-1-10000-111-1-1-11111-1-1000000000000000000000000000000000
χ5544444444-4-444-4-44-1-4-4-1-1-1-4-444-1-1-1-1-1-1-1-10000-44114-411-1-111111111-1-1-1-100001-1-1111-1-1-1-111000000000000000000000000000000000
χ5644444444-4-4-4444-4-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-10000-4-41144-1-1111111-1-1-1-11111000011-1-11111-1-1-1-1000000000000000000000000000000000
χ574444-2-2-2-24444444-1-2-2-1-1-1-2-2-2-21−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+i1520000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000000000
χ584444-2-2-2-24444444-1-2-2-1-1-1-2-2-2-21+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−i1520000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000000000
χ594444-2-2-2-244-44-4-4-4-1-2-2-1-1-122221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1520000-22-1-1-2211111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520000-11-111−i1521+i152−1+i152−1−i1521−i1521+i152−1+i152−1−i152000000000000000000000000000000000
χ604444-2-2-2-244-44-4-4-4-1-2-2-1-1-122221+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1520000-22-1-1-2211111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520000-11-111+i1521−i152−1−i152−1+i1521+i1521−i152−1−i152−1+i152000000000000000000000000000000000
χ614444-2-2-2-24-44-44-4-4-1-2-2-1-1-122221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15200002-2-1-12-211111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15200001-11-1−1+i152−1−i1521−i1521+i152−1+i152−1−i1521−i1521+i152000000000000000000000000000000000
χ624444-2-2-2-24-44-44-4-4-1-2-2-1-1-122221+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i15200002-2-1-12-211111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i15200001-11-1−1−i152−1+i1521+i1521−i152−1−i152−1+i1521+i1521−i152000000000000000000000000000000000
χ634444-2-2-2-24-4-4-4-444-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152000022-1-122-1-1-1-11−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
χ644444-2-2-2-24-4-4-4-444-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152000022-1-122-1-1-1-11+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
χ654444-2-2-2-2-444-4-44-4-122-1-1-1-2-2221−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−i1520000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000
χ664444-2-2-2-2-444-4-44-4-122-1-1-1-2-2221+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+i1520000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000
χ674444-2-2-2-2-44-4-44-44-122-1-1-122-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1520000-22112-211-1-1−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1521−i1521−i1521+i1521+i1520000-111-11−i1521+i152−1+i152−1−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.