Finite Group Databasebeta

← Group #14417744

Character table — Group #14417744

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11222222222444444444444444444444445588888888888888888888881010101010101010101616161616161616161616162020202020202020202020303030303030303040404040606060606060606060606060
order1223446881212224456810121515202024242424303060606060226610121220303040404040606012012012012012012012012024466881212101020203030303060606060224468122424242444444444661212444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−iii−i−i
χ41111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111-1-1-1-1111111111111111111111-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111-1-1-1-1111111111111111111111-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111-1-1-1-11111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1iiii−i−i−i−i1111−i−i−i−iiiiiii−i−i
χ811111111111-1-1-1-11111111111111111111-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1−i−i−i−iiiii1111iiii−i−i−i−i−i−iii
χ91111111-1-1111-11-111-1111111-1-1-1-1111111111-111-1111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-11-111-1-111-1-11-11-11-11-1-1-1-1111111111-11-111-1-111-1-1-1-1-1-1
χ101111111-1-1111-11-111-1111111-1-1-1-1111111111-111-1111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-11-111-1-111-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1111111
χ111111111-1-1111-11-111-1111111-1-1-1-1111111-1-11-111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-111-1-1-11-11-11-11111iiii−i−i−i−i-11-11ii−i−i−i−iii−i−iii
χ121111111-1-1111-11-111-1111111-1-1-1-1111111-1-11-111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-111-1-1-11-11-11-11111−i−i−i−iiiii-11-11−i−iiiii−i−iii−i−i
χ131111111-1-111-11-1111-1111111-1-1-1-111111111-111-11111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-11-11-1-111-1-111-11-111-11-1-1-1-111111111-11-11-1-111-1-111-1-1-1-1
χ141111111-1-111-11-1111-1111111-1-1-1-111111111-111-11111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-11-11-1-111-1-111-11-111-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-11111
χ151111111-1-111-11-1111-1111111-1-1-1-1111111-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-1111-11-1-11-11111iiii−i−i−i−i1-11-1−i−iiiii−i−i−i−iii
χ161111111-1-111-11-1111-1111111-1-1-1-1111111-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-1111-11-1-11-11111−i−i−i−iiiii1-11-1ii−i−i−i−iiiii−i−i
χ1711-11-11111-1-11-1-111-1-11111-1-111-1-111-1-1-1-1111-1-1-111-1-111-1-1111111-1-1-1-1-1-111111-1-11-1-1111-1-1-1-1111-1-11-1-1111-1-111-1-111-1-11-1-111-11-11-11-11-11-1
χ1811-11-11111-1-11-1-111-1-11111-1-111-1-111-1-1-1-1111-1-1-111-1-111-1-1111111-1-1-1-1-1-111111-1-11-1-1111-1-1-1-1111-1-11-1-1111-1-1-1-111-1-1111-1-11-11-11-11-11-11-11
χ1911-11-11111-1-11-1-111-1-11111-1-111-1-111-1-1-1-1-1-11-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1111-1-1111-1-1-1-111-111-111-1-1-111ii−i−i−i−iii-111-1i−ii−i−ii−iii−i−ii
χ2011-11-11111-1-11-1-111-1-11111-1-111-1-111-1-1-1-1-1-11-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1111-1-1111-1-1-1-111-111-111-1-1-111−i−iiiii−i−i-111-1−ii−iii−ii−i−iii−i
χ2111-11-11111-1-1-111-11-1-11111-1-111-1-111-1-1-1-111-11-11-11-1-111-1-1111111-1-1-1-1-1-111111-1-1-111-1-1-11111-1-1-111-1-1-1111-1-111-1-111-1-1-111-1-11-11-11-111-11-1
χ2211-11-11111-1-1-111-11-1-11111-1-111-1-111-1-1-1-111-11-11-11-1-111-1-1111111-1-1-1-1-1-111111-1-1-111-1-1-11111-1-1-111-1-1-1111-1-1-1-111-1-111-111-11-11-11-11-1-11-11
χ2311-11-11111-1-1-111-11-1-11111-1-111-1-111-1-1-1-1-1-1-11-11-11-1-111-1-1111111-1-1-1-111-1-1-1-1-111-111-1-1-11111-1-11-1-1111-1-1-111ii−i−i−i−iii1-1-11−ii−iii−ii−ii−i−ii
χ2411-11-11111-1-1-111-11-1-11111-1-111-1-111-1-1-1-1-1-1-11-11-11-1-111-1-1111111-1-1-1-111-1-1-1-1-111-111-1-1-11111-1-11-1-1111-1-1-111−i−iiiii−i−i1-1-11i−ii−i−ii−ii−iii−i
χ2511-11-111-1-1-1-111-1-11-111111-1-1-1-11111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-111-1-111-1-11-1-111-1-11-11-11
χ2611-11-111-1-1-1-111-1-11-111111-1-1-1-11111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-111-1-111-1-11111-1-1-111-1-111-11-11-1
χ2711-11-111-1-1-1-111-1-11-111111-1-1-1-11111-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1111111-1-11111-1-1-1-1-1-1111-1-111-1-1ii−i−i−i−iii-1-111i−i−ii−iii−i−iii−i
χ2811-11-111-1-1-1-111-1-11-111111-1-1-1-11111-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1111111-1-11111-1-1-1-1-1-1111-1-111-1-1−i−iiiii−i−i-1-111−iii−ii−i−iii−i−ii
χ2911-11-111-1-1-1-1-1-1111-111111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-111-111-1-11111-1-111-1-1-1-111-111-1-111-1-11-11
χ3011-11-111-1-1-1-1-1-1111-111111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-1-111-111-1-111-1-111-1-111-1-1111-1-111-1-111-11-1
χ3111-11-111-1-1-1-1-1-1111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-11111-1-111-1-1-1-1111111-1-11-1-111-1-1ii−i−i−i−iii11-1-1−iii−ii−i−ii−iii−i
χ3211-11-111-1-1-1-1-1-1111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-11111-1-111-1-1-1-1111111-1-11-1-111-1-1−i−iiiii−i−i11-1-1i−i−ii−iii−ii−i−ii
χ332222-2-2200-2-200002202-222-2-2000022-2-2-2-22200200-2220000-2-2000000002-2-22200-2-2000000000000000020-200002-22-22-22-20000000000000000
χ342222-2-2200-2-200002202-222-2-2000022-2-2-2-22200200-2220000-2-2000000002-2-22200-2-2000000000000000020-20000-22-22-22-220000000000000000
χ352222-2-2200-2-200002202-222-2-2000022-2-2-2-2-2-200200-2220000-2-200000000-222-2-200220000000000000000-20200002i−2i2i−2i−2i2i−2i2i0000000000000000
χ362222-2-2200-2-200002202-222-2-2000022-2-2-2-2-2-200200-2220000-2-200000000-222-2-200220000000000000000-2020000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ37222-122-122-1-122222-122-1-1-122-1-1-1-1-1-1-1-1-1-122-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1222-1-122-1-12222-1-1-1-1-1-1-1-12222-12-1-1-1-1-100000000-1-1-1-1000000000000
χ38222-122-122-1-122222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2112222-1-1-1-1-1-1-1-1-2-2-2-21-211111000000001111000000000000
χ39222-122-122-1-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-122112112-1-12222-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-2-2-2-211111111-2-2-2-2-12-1-1-1-1-1000000001111000000000000
χ40222-122-122-1-1-2-2-2-22-122-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2112112-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-211-2-211-2-2-2-21111111122221-21111100000000-1-1-1-1000000000000
χ41222-122-1-2-2-1-12-22-22-1-22-1-1-1221111-1-1-1-1-1-122-112-112-1-1-2-2-2-2-1-111111111222-1-1-2-2-1-12-22-2-1-111-1-1112-22-2-1-2-1111100000000-11-11000000000000
χ42222-122-1-2-2-1-12-22-22-1-22-1-1-1221111-1-1-1-1-1-1-2-2-112-112-1-1-2-2-2-2-1-111111111-2-2-21122112-22-2-1-111-1-111-22-22121-1-1-1-1000000001-11-1000000000000
χ43222-122-1-2-2-1-1-22-222-1-22-1-1-1221111-1-1-1-1-1-1221-121-12-1-1-2-2-2-2-1-111111111222-1-1-2-2-1-1-22-2211-1-111-1-1-22-22-1-2-11111000000001-11-1000000000000
χ44222-122-1-2-2-1-1-22-222-1-22-1-1-1221111-1-1-1-1-1-1-2-21-121-12-1-1-2-2-2-2-1-111111111-2-2-2112211-22-2211-1-111-1-12-22-2121-1-1-1-100000000-11-11000000000000
χ4522-222-22002200002-202-2222200002222222200-200-2-2-20000-2-200000000-22-22200220000000000000000-20-200002-2-222-2-220000000000000000
χ4622-222-22002200002-202-2222200002222222200-200-2-2-20000-2-200000000-22-22200220000000000000000-20-20000-222-2-222-20000000000000000
χ4722-222-22002200002-202-222220000222222-2-200-200-2-2-20000-2-2000000002-22-2-200-2-2000000000000000020200002i−2i−2i2i−2i2i2i−2i0000000000000000
χ4822-222-22002200002-202-222220000222222-2-200-200-2-2-20000-2-2000000002-22-2-200-2-200000000000000002020000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ4922-2-1-22-122112-2-2221-22-1-1-1-2-2-1-111-1-1111122-11-21-121122-2-2-1-1-1-1-1-11111-2-22-1-122112-2-22-1-11111-1-12-2-221-2-1-1-11100000000-111-1000000000000
χ5022-2-1-22-122112-2-2221-22-1-1-1-2-2-1-111-1-11111-2-2-11-21-121122-2-2-1-1-1-1-1-1111122-211-2-2-1-12-2-22-1-11111-1-1-222-2-12111-1-1000000001-1-11000000000000
χ5122-2-1-22-12211-222-221-22-1-1-1-2-2-1-111-1-11111221-1-2-1121122-2-2-1-1-1-1-1-11111-2-22-1-12211-222-211-1-1-1-111-222-21-2-1-1-111000000001-1-11000000000000
χ5222-2-1-22-12211-222-221-22-1-1-1-2-2-1-111-1-11111-2-21-1-2-1121122-2-2-1-1-1-1-1-1111122-211-2-2-1-1-222-211-1-1-1-1112-2-22-12111-1-100000000-111-1000000000000
χ5322-2-1-22-1-2-21122-2-22122-1-1-1-2-211-1-1-1-1111122-1-1-211211-2-222-1-11111-1-1-1-1-2-22-1-1-2-21122-2-2-1-1-1-1111122-2-212-111-1-100000000-1-111000000000000
χ5422-2-1-22-1-2-21122-2-22122-1-1-1-2-211-1-1-1-11111-2-2-1-1-211211-2-222-1-11111-1-1-1-122-21122-1-122-2-2-1-1-1-11111-2-222-1-21-1-1110000000011-1-1000000000000
χ5522-2-1-22-1-2-211-2-2222122-1-1-1-2-211-1-1-1-111112211-2-1-1211-2-222-1-11111-1-1-1-1-2-22-1-1-2-211-2-2221111-1-1-1-1-2-22212-111-1-10000000011-1-1000000000000
χ5622-2-1-22-1-2-211-2-2222122-1-1-1-2-211-1-1-1-11111-2-211-2-1-1211-2-222-1-11111-1-1-1-122-21122-1-1-2-2221111-1-1-1-122-2-2-1-21-1-11100000000-1-111000000000000
χ57444444444444444-144-14-1-1-1-14444-1-1-1-1-1-10044-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ5844444444444-4-4-4-4-144-14-1-1-1-14444-1-1-1-1-1-100-4-4-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000011111111111100000000000000000000000000000000000
χ594444444-4-4444-44-4-14-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-1004-4-14-4-1-1-11111-1-111111111000000000-11-11-1-111-1-11100000000000000000000000000000000000
χ604444444-4-444-44-44-14-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-100-44-1-44-1-1-11111-1-1111111110000000001-11-111-1-111-1-100000000000000000000000000000000000
χ61444-244-244-2-24444-1-24-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i15200-2-2-1-2-2-11−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000000000000000000000000000
χ62444-244-244-2-24444-1-24-1-21+i1521−i152-1-1-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i15200-2-2-1-2-2-11+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000000000000000000000000000
χ63444-244-244-2-2-4-4-4-4-1-24-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i1520022-122-11−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520000000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000000000000000
χ64444-244-244-2-2-4-4-4-4-1-24-1-21+i1521−i152-1-1-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i1520022-122-11+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520000000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000000000000000
χ65444-244-2-4-4-2-24-44-4-1-2-4-1-21−i1521+i152-1-122221−i1521+i1521−i1521−i1521+i1521+i15200-22-1-22-11−i1521+i15211111−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000000000-11-111−i1521+i152−1+i152−1−i1521−i1521+i152−1+i152−1−i15200000000000000000000000000000000000
χ66444-244-2-4-4-2-24-44-4-1-2-4-1-21+i1521−i152-1-122221+i1521−i1521+i1521+i1521−i1521−i15200-22-1-22-11+i1521−i15211111+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000000000-11-111+i1521−i152−1−i152−1+i1521+i1521−i152−1−i152−1+i15200000000000000000000000000000000000
χ67444-244-2-4-4-2-2-44-44-1-2-4-1-21−i1521+i152-1-122221−i1521+i1521−i1521−i1521+i1521+i152002-2-12-2-11−i1521+i15211111−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520000000001-11-1−1+i152−1−i1521−i1521+i152−1+i152−1−i1521−i1521+i15200000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.