Finite Group Databasebeta

← Group #14418584

Character table — Group #14418584

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222244444444444444444444444455558888888888888888888888101010101010161616161616161616161616202020202020202020202020303030303030303040404040606060606060606060606060
order122222366644444456610101012121212151530303030303044441010121212122020202030303030606060606060606044121212122020202060606060606060604444441212121212128888888812121212888888888888
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-1-1-1-1iiiiii−i−i−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−i−i−i−i−iiiiiii
χ5111111111111-1-1-1-1111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ6111111111111-1-1-1-1111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1iiii−i−i−i−i1111ii−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1−i−i−i−iiiii1111−i−iiiiiii−i−i−i−i
χ91111111111-1-11-11-1111111-1-1-1-1111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-11-111-1-111-1-11-1-1-11-111-1-1-1-1111111111-11-1-1-111-1-1-1-111-1-1
χ101111111111-1-11-11-1111111-1-1-1-1111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-11-111-1-111-1-11-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-111
χ111111111111-1-11-11-1111111-1-1-1-111111111-1-1-1-1111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1111-11-1-11111iiii−i−i−i−i-11-11−i−iii−i−iii−i−iii
χ121111111111-1-11-11-1111111-1-1-1-111111111-1-1-1-1111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1111-11-1-11111−i−i−i−iiiii-11-11ii−i−iii−i−iii−i−i
χ131111111111-1-1-11-11111111-1-1-1-111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-11-1-111-1-111-11-1-1-1111-1-1-1-111111111-11-11-1-1-1-111-1-1-1-111
χ141111111111-1-1-11-11111111-1-1-1-111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-11-1-111-1-111-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-11111-1-1
χ151111111111-1-1-11-11111111-1-1-1-111111111-1-1-1-111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1111-1-1-11111iiii−i−i−i−i1-11-1−i−i−i−iiiiiii−i−i
χ161111111111-1-1-11-11111111-1-1-1-111111111-1-1-1-111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1111-1-1-11111−i−i−i−iiiii1-11-1iiii−i−i−i−i−i−iii
χ171111-1-111111-111-1-11-1-111111-1-1111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11-111-1-111-1-111-1-111-1-1-1-1111-11-11-11-11-11-1
χ181111-1-111111-111-1-11-1-111111-1-1111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11-111-1-111-1-1-1-111-1-111-1-111-11-11-11-11-11-11
χ191111-1-111111-111-1-11-1-111111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-11-1-111-1-111ii−i−i−i−iii11-1-1i−ii−ii−i−ii−ii−ii
χ201111-1-111111-111-1-11-1-111111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-11-1-111-1-111−i−iiiii−i−i11-1-1−ii−ii−iii−ii−ii−i
χ211111-1-111111-1-1-1111-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-111-1-11-1-11-111-1-11-11
χ221111-1-111111-1-1-1111-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-11111-1-1-111-11-1-111-11-1
χ231111-1-111111-1-1-1111-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-111ii−i−i−i−iii-1-111i−i−ii−ii−iii−ii−i
χ241111-1-111111-1-1-1111-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-111−i−iiiii−i−i-1-111−iii−ii−ii−i−ii−ii
χ251111-1-11111-111-1-111-1-1111-1-111111111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-11-111-1-1-1-1-11111-1-111-1-1-111-1-111-1-11-111-1-11
χ261111-1-11111-111-1-111-1-1111-1-111111111111111-1-11-1-11-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-11-111-1-1-1-1-111-1-111-1-111-111-11-1-111-11-1-111-1
χ271111-1-11111-111-1-111-1-1111-1-11111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-11-11-1-111111-1-1ii−i−i−i−iii1-1-11−iii−i−iii−i−iii−i
χ281111-1-11111-111-1-111-1-1111-1-11111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-11-11-1-111111-1-1−i−iiiii−i−i1-1-11i−i−iii−i−iii−i−ii
χ291111-1-11111-11-111-11-1-1111-1-111111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1111-1-11-11-1-1-1-11111-1-111-1-11-1-11-11-111-1-11-111-1
χ301111-1-11111-11-111-11-1-1111-1-111111111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1111-1-11-11-1-1-1-111-1-111-1-1111-1-111-11-1-111-11-1-11
χ311111-1-11111-11-111-11-1-1111-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-11-11111-1-1ii−i−i−i−iii-111-1−ii−iii−ii−ii−i−ii
χ321111-1-11111-11-111-11-1-1111-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-11-11111-1-1−i−iiiii−i−i-111-1i−ii−i−ii−ii−iii−i
χ33222222-1-1-1-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100000000-1-1-1-1000000000000
χ34222222-1-1-1-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111000000001111000000000000
χ35222222-1-1-1-122-2-2-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222211112222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-222-2-2-1-1-1-1-1-1000000001111000000000000
χ36222222-1-1-1-122-2-2-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211112222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-2-22211111100000000-1-1-1-1000000000000
χ37222222-1-1-1-1-2-22-22-22-1-12221111-1-1-1-1-1-1-1-1222222-11-11-2-2-2-2-1-1-1-11111111122-1-1-1-12-22-2-1-111-1-1112-2-2-22-2-1-1111100000000-11-11000000000000
χ38222222-1-1-1-1-2-22-22-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-222-11-11-2-2-2-2-1-1-1-111111111-2-211112-22-2-1-111-1-111-2222-2211-1-1-1-1000000001-11-1000000000000
χ39222222-1-1-1-1-2-2-22-222-1-12221111-1-1-1-1-1-1-1-12222221-11-1-2-2-2-2-1-1-1-11111111122-1-1-1-1-22-2211-1-111-1-1-22-2-2-22-1-11111000000001-11-1000000000000
χ40222222-1-1-1-1-2-2-22-222-1-12221111-1-1-1-1-1-1-1-1-2-2-2-2221-11-1-2-2-2-2-1-1-1-111111111-2-21111-22-2211-1-111-1-12-2222-211-1-1-1-100000000-11-11000000000000
χ412222-2-2-1-1-1-12-222-2-2211222-1-111-1-1-1-1-1-1-1-12222-2-2-1-11122-2-21111-1-1-1-11111-2-2-1-1-1-1-2-2221111-1-1-1-1-2-22-22211-1-1110000000011-1-1000000000000
χ422222-2-2-1-1-1-12-222-2-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-11122-2-21111-1-1-1-11111221111-2-2221111-1-1-1-122-22-2-2-1-111-1-100000000-1-111000000000000
χ432222-2-2-1-1-1-12-2-2-222211222-1-111-1-1-1-1-1-1-1-12222-2-211-1-122-2-21111-1-1-1-11111-2-2-1-1-1-122-2-2-1-1-1-11111222-2-2-211-1-11100000000-1-111000000000000
χ442222-2-2-1-1-1-12-2-2-222211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-2-211-1-122-2-21111-1-1-1-1111122111122-2-2-1-1-1-11111-2-2-2222-1-111-1-10000000011-1-1000000000000
χ452222-2-2-1-1-1-1-222-2-2221122211-1-1-1-1-1-1-1-1-1-12222-2-2-111-1-2-22211111111-1-1-1-1-2-2-1-1-1-1-222-211-1-1-1-111-22-222-21111-1-1000000001-1-11000000000000
χ462222-2-2-1-1-1-1-222-2-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-111-1-2-22211111111-1-1-1-1221111-222-211-1-1-1-1112-22-2-22-1-1-1-11100000000-111-1000000000000
χ472222-2-2-1-1-1-1-22-222-221122211-1-1-1-1-1-1-1-1-1-12222-2-21-1-11-2-22211111111-1-1-1-1-2-2-1-1-1-12-2-22-1-11111-1-12-2-22-221111-1-100000000-111-1000000000000
χ482222-2-2-1-1-1-1-22-222-221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21-1-11-2-22211111111-1-1-1-12211112-2-22-1-11111-1-1-222-22-2-1-1-1-111000000001-1-11000000000000
χ4922-2-22-222-2-200000022-22-2-200002222-2-2-2-222-2-22-20000000022-2-2000000002-222-2-20000000000000000002-200002-22-22-22-20000000000000000
χ5022-2-22-222-2-200000022-22-2-200002222-2-2-2-222-2-22-20000000022-2-2000000002-222-2-20000000000000000002-20000-22-22-22-220000000000000000
χ5122-2-22-222-2-200000022-22-2-200002222-2-2-2-2-2-2222-20000000022-2-200000000-22-2-222000000000000000000-2200002i−2i2i−2i−2i2i−2i2i0000000000000000
χ5222-2-22-222-2-200000022-22-2-200002222-2-2-2-2-2-2222-20000000022-2-200000000-22-2-222000000000000000000-220000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ5322-2-2-2222-2-20000002-222-2-200002222-2-2-2-222-2-2-2200000000-2-22200000000-2222-2-2000000000000000000-2200002-2-222-2-220000000000000000
χ5422-2-2-2222-2-20000002-222-2-200002222-2-2-2-222-2-2-2200000000-2-22200000000-2222-2-2000000000000000000-220000-222-2-222-20000000000000000
χ5522-2-2-2222-2-20000002-222-2-200002222-2-2-2-2-2-222-2200000000-2-222000000002-2-2-2220000000000000000002-200002i−2i−2i2i−2i2i2i−2i0000000000000000
χ5622-2-2-2222-2-20000002-222-2-200002222-2-2-2-2-2-222-2200000000-2-222000000002-2-2-2220000000000000000002-20000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ574444444444444444-144-1-1-14444-1-1-1-1-1-1-1-10000-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ58444444444444-4-4-4-4-144-1-1-14444-1-1-1-1-1-1-1-10000-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111111111111000000000000000000000000000000000000
χ594444444444-4-44-44-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-10000-1-14-44-41111-1-1-1-111111111000000-11-11-1-111-1-111000000000000000000000000000000000000
χ604444444444-4-4-44-44-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-10000-1-1-44-441111-1-1-1-1111111110000001-11-111-1-111-1-1000000000000000000000000000000000000
χ61444444-2-2-2-2444444-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-1-1-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000000000000
χ62444444-2-2-2-2444444-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-1-1-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000000000000
χ63444444-2-2-2-244-4-4-4-4-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-1-12222-1-1-1-11−i1521+i1521−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
χ64444444-2-2-2-244-4-4-4-4-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-1-12222-1-1-1-11+i1521−i1521+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
χ65444444-2-2-2-2-4-44-44-4-1-2-2-1-1-122221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-1-1-22-2211111−i1521+i1521−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
χ66444444-2-2-2-2-4-44-44-4-1-2-2-1-1-122221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-1-1-22-2211111+i1521−i1521+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
χ67444444-2-2-2-2-4-4-44-44-1-2-2-1-1-122221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-1-12-22-211111−i1521+i1521−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
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.