Finite Group Databasebeta

← Group #14415349

Character table — Group #14415349

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222244444444444444444444444455558888888888888888888888101010101010161616161616161616161616202020202020202020202020303030303030303040404040606060606060606060606060
order12222236662244445661010101212121215153030303030304444661010121220202020303030306060606060606060441212121210102020303030306060606022444412121212121288888888661212888888888888
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
χ511111111111-1-1-11-1111111-1-1-1-11111111111111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-11-111-1-111-1-11-1-1-11-1-1-1-1-111111111111-11-1-1-1-1-111-1-111-1-1
χ611111111111-1-1-11-1111111-1-1-1-11111111111111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-11-111-1-111-1-11-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-11-11111-1-111-1-111
χ711111111111-1-1-11-1111111-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1111-111111-1-1iiii−i−i−i−i-11-11−i−iiiii−i−i−i−iii
χ811111111111-1-1-11-1111111-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1111-111111-1-1−i−i−i−iiiii-11-11ii−i−i−i−iiiii−i−i
χ91111111111-11-1-1-11111111-1-1-1-1111111111111-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-11-1-111-1-111-11-1-1-11-1-1-1-11111111111-11-11-1-1-1-1-1-111-1-111
χ101111111111-11-1-1-11111111-1-1-1-1111111111111-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-11-1-111-1-111-11-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1
χ111111111111-11-1-1-11111111-1-1-1-111111111-1-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1111-11111-1-1iiii−i−i−i−i1-11-1−i−iii−i−iiiii−i−i
χ121111111111-11-1-1-11111111-1-1-1-111111111-1-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1111-11111-1-1−i−i−i−iiiii1-11-1ii−i−iii−i−i−i−iii
χ131111111111-1-111-1-11111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ141111111111-1-111-1-11111111111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ151111111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1iiii−i−i−i−i1111ii−i−i−i−i−i−iiiii
χ161111111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1−i−i−i−iiiii1111−i−iiiiiii−i−i−i−i
χ171111-1-11111111-1-1-11-1-111111-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1-1-1111-11-11-11-11-11-1
χ181111-1-11111111-1-1-11-1-111111-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-111-1-111-11-11-11-11-11-11
χ191111-1-11111111-1-1-11-1-111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-11-1-1-1-11111ii−i−i−i−iii11-1-1i−i−iii−ii−i−ii−ii
χ201111-1-11111111-1-1-11-1-111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-11-1-1-1-11111−i−iiiii−i−i11-1-1−iii−i−ii−iii−ii−i
χ211111-1-111111-1-11-111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-111-11-111-1-1-111-1-111-1-111-1-1-111-1-11-111-1-111-1-11
χ221111-1-111111-1-11-111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-111-11-111-1-1-111-1-1-1-111-1-111-111-11-11-1-111-1-111-1
χ231111-1-111111-1-11-111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-1111-11-1-1111-1-111ii−i−i−i−iii1-1-11−iii−ii−i−ii−iii−i
χ241111-1-111111-1-11-111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-1111-11-1-1111-1-111−i−iiiii−i−i1-1-11i−i−ii−iii−ii−i−ii
χ251111-1-11111-11-111-11-1-1111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-11-1-11-11-1-111-1-111-1-111-1-11-1-11-11-11-111-1-111-1
χ261111-1-11111-11-111-11-1-1111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-11-1-11-11-1-111-1-1-1-111-1-1111-1-111-11-11-1-111-1-11
χ271111-1-11111-11-111-11-1-1111-1-11111111111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-111-11-111-1-111ii−i−i−i−iii-111-1−iii−i−iii−ii−i−ii
χ281111-1-11111-11-111-11-1-1111-1-11111111111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-111-11-111-1-111−i−iiiii−i−i-111-1i−i−iii−i−ii−iii−i
χ291111-1-11111-1-11-1111-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-111-1-1-1-111-1-111-1-111-1-11-11-1-11-11-11-11
χ301111-1-11111-1-11-1111-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-11-111-11-11-11-1
χ311111-1-11111-1-11-1111-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-11111ii−i−i−i−iii-1-111i−i−ii−ii−iii−ii−i
χ321111-1-11111-1-11-1111-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-11111−i−iiiii−i−i-1-111−iii−ii−ii−i−ii−ii
χ33222222-1-1-1-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100000000-1-1-1-1000000000000
χ34222222-1-1-1-12222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111000000001111000000000000
χ35222222-1-1-1-12-2-2-22-22-1-12221111-1-1-1-1-1-1-1-12222-1122-11-2-2-2-2-1-1-1-11111111122-1-1-1-12-22-2-1-111-1-1112-2-2-22-21111-1-100000000-11-11000000000000
χ36222222-1-1-1-12-2-2-22-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-2-1122-11-2-2-2-2-1-1-1-111111111-2-211112-22-2-1-111-1-111-2222-22-1-1-1-111000000001-11-1000000000000
χ37222222-1-1-1-1-22-2-2-222-1-12221111-1-1-1-1-1-1-1-122221-1221-1-2-2-2-2-1-1-1-11111111122-1-1-1-1-22-2211-1-111-1-1-22-2-2-221111-1-1000000001-11-1000000000000
χ38222222-1-1-1-1-22-2-2-222-1-12221111-1-1-1-1-1-1-1-1-2-2-2-21-1221-1-2-2-2-2-1-1-1-111111111-2-21111-22-2211-1-111-1-12-2222-2-1-1-1-11100000000-11-11000000000000
χ39222222-1-1-1-1-2-222-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-122221122112222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-222-2-2-1-1-1-1-1-1000000001111000000000000
χ40222222-1-1-1-1-2-222-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21122112222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-2-22211111100000000-1-1-1-1000000000000
χ412222-2-2-1-1-1-1222-2-2-2211222-1-111-1-1-1-1-1-1-1-12222-1-1-2-21122-2-21111-1-1-1-11111-2-2-1-1-1-122-2-2-1-1-1-11111-2-22-222-1-111110000000011-1-1000000000000
χ422222-2-2-1-1-1-1222-2-2-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-21122-2-21111-1-1-1-1111122111122-2-2-1-1-1-1111122-22-2-211-1-1-1-100000000-1-111000000000000
χ432222-2-2-1-1-1-12-2-22-2221122211-1-1-1-1-1-1-1-1-1-12222-11-2-21-1-2-22211111111-1-1-1-1-2-2-1-1-1-12-2-22-1-11111-1-1-22-222-211-1-111000000001-1-11000000000000
χ442222-2-2-1-1-1-12-2-22-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-11-2-21-1-2-22211111111-1-1-1-12211112-2-22-1-11111-1-12-22-2-22-1-111-1-100000000-111-1000000000000
χ452222-2-2-1-1-1-1-22-222-221122211-1-1-1-1-1-1-1-1-1-122221-1-2-2-11-2-22211111111-1-1-1-1-2-2-1-1-1-1-222-211-1-1-1-1112-2-22-2211-1-11100000000-111-1000000000000
χ462222-2-2-1-1-1-1-22-222-221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-21-1-2-2-11-2-22211111111-1-1-1-1221111-222-211-1-1-1-111-222-22-2-1-111-1-1000000001-1-11000000000000
χ472222-2-2-1-1-1-1-2-22-222211222-1-111-1-1-1-1-1-1-1-1222211-2-2-1-122-2-21111-1-1-1-11111-2-2-1-1-1-1-2-2221111-1-1-1-1222-2-2-2-1-1111100000000-1-111000000000000
χ482222-2-2-1-1-1-1-2-22-222211222-1-111-1-1-1-1-1-1-1-1-2-2-2-211-2-2-1-122-2-21111-1-1-1-11111221111-2-2221111-1-1-1-1-2-2-222211-1-1-1-10000000011-1-1000000000000
χ492-2-222-22-2-2200000022-2-22-2000022-2-222-2-222-2-2002-200000022-2-2000000002-222-2-200000000000000000000002-22i−2i2i−2i2i−2i2i−2i0000000000000000
χ502-2-222-22-2-2200000022-2-22-2000022-2-222-2-222-2-2002-200000022-2-2000000002-222-2-200000000000000000000002-2−2i2i−2i2i−2i2i−2i2i0000000000000000
χ512-2-222-22-2-2200000022-2-22-2000022-2-222-2-2-2-222002-200000022-2-200000000-22-2-2220000000000000000000000-222-22-2-22-220000000000000000
χ522-2-222-22-2-2200000022-2-22-2000022-2-222-2-2-2-222002-200000022-2-200000000-22-2-2220000000000000000000000-22-22-222-22-20000000000000000
χ532-2-22-222-2-220000002-22-22-2000022-2-222-2-222-2-200-22000000-2-22200000000-2222-2-20000000000000000000000-222i−2i−2i2i2i−2i−2i2i0000000000000000
χ542-2-22-222-2-220000002-22-22-2000022-2-222-2-222-2-200-22000000-2-22200000000-2222-2-20000000000000000000000-22−2i2i2i−2i−2i2i2i−2i0000000000000000
χ552-2-22-222-2-220000002-22-22-2000022-2-222-2-2-2-22200-22000000-2-222000000002-2-2-22200000000000000000000002-22-2-22-222-20000000000000000
χ562-2-22-222-2-220000002-22-22-2000022-2-222-2-2-2-22200-22000000-2-222000000002-2-2-22200000000000000000000002-2-222-22-2-220000000000000000
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
χ5844444444444-4-4-44-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-100004-4-1-14-41111-1-1-1-111111111000000-11-11-1-111-1-111000000000000000000000000000000000000
χ594444444444-44-4-4-44-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-10000-44-1-1-441111-1-1-1-1111111110000001-11-111-1-111-1-1000000000000000000000000000000000000
χ604444444444-4-444-4-4-144-1-1-14444-1-1-1-1-1-1-1-10000-4-4-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111111111111000000000000000000000000000000000000
χ61444444-2-2-2-2444444-1-2-2-1-1-1-2-2-2-21−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
χ62444444-2-2-2-2444444-1-2-2-1-1-1-2-2-2-21+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
χ63444444-2-2-2-24-4-4-44-4-1-2-2-1-1-122221−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−i152000000-11-111−i1521+i152−1+i152−1−i1521−i1521+i152−1+i152−1−i152000000000000000000000000000000000000
χ64444444-2-2-2-24-4-4-44-4-1-2-2-1-1-122221+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+i152000000-11-111+i1521−i152−1−i152−1+i1521+i1521−i152−1−i152−1+i152000000000000000000000000000000000000
χ65444444-2-2-2-2-44-4-4-44-1-2-2-1-1-122221−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−i1520000001-11-1−1+i152−1−i1521−i1521+i152−1+i152−1−i1521−i1521+i152000000000000000000000000000000000000
χ66444444-2-2-2-2-44-4-4-44-1-2-2-1-1-122221+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+i1520000001-11-1−1−i152−1+i1521+i1521−i152−1−i152−1+i1521+i1521−i152000000000000000000000000000000000000
χ67444444-2-2-2-2-4-444-4-4-1-2-2-1-1-1-2-2-2-21−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+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 60 (ζ60 = 1); i = ζ15.