Finite Group Databasebeta

← Group #14320227

Character table — Group #14320227

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222444444444444444444445555888888888888888888101010101010202020202020202030303030303030306060606011112222224444444444444444444455558888888888888888881010101010102020202020202020303030303030303060606060
order122222366644566101010121212121515303030303030222210102020202030303030606060606060606022666644661212121244444444444422222266664410661010101212121230303030303030302222101020202020303030306060606060606060226666446612121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−ii−ii−i111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−ii−ii−i
χ4111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii−ii111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii−ii
χ51111111111-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11111111111-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1
χ61111111111-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111iiii−i−i−i−i−ii−ii1111111111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111iiii−i−i−i−i−ii−ii
χ81111111111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−i−i−iiiiii−ii−i1111111111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−i−i−iiiiii−ii−i
χ91111-1-111111-11-1-111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-111-1-111-1-111-1-11111-1-111111-11-1-111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-111111-11-1-111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-1-1-111-1-111-1-1111111-1-111111-11-1-111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-1-1-111-1-111-1-111
χ111111-1-111111-11-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111ii−i−i−i−iiii−i−ii1111-1-111111-11-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111ii−i−i−i−iiii−i−ii
χ121111-1-111111-11-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111−i−iiiii−i−i−iii−i1111-1-111111-11-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111−i−iiiii−i−i−iii−i
χ131111-1-11111-111-1-1111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-11-1-1-1-11111-1-111-1-1-1-1111111-1-11111-111-1-1111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-11-1-1-1-11111-1-111-1-1-1-111
χ141111-1-11111-111-1-1111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-11-1-1-1-111-1-111-1-11111-1-11111-1-11111-111-1-1111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-11-1-1-1-111-1-111-1-11111-1-1
χ151111-1-11111-111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1ii−i−i−i−iii−iii−i1111-1-11111-111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1ii−i−i−i−iii−iii−i
χ161111-1-11111-111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1−i−iiiii−i−ii−i−ii1111-1-11111-111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111-1-1−i−iiiii−i−ii−i−ii
χ17222222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1000000000000222222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1000000000000
χ18222222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111111000000000000222222-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111111000000000000
χ19222222-1-1-1-1-2-22-1-12221111-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2-1-11111000000000000222222-1-1-1-1-2-22-1-12221111-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-11111111122-1-1-1-1-2-2-1-11111000000000000
χ20222222-1-1-1-1-2-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-111111111-2-211112211-1-1-1-1000000000000222222-1-1-1-1-2-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-111111111-2-211112211-1-1-1-1000000000000
χ212222-2-2-1-1-1-12-2211222-1-111-1-1-1-1-1-1-1-12222-2-222-2-21111-1-1-1-11111-2-2-1-1-1-12-211-1-1110000000000002222-2-2-1-1-1-12-2211222-1-111-1-1-1-1-1-1-1-12222-2-222-2-21111-1-1-1-11111-2-2-1-1-1-12-211-1-111000000000000
χ222222-2-2-1-1-1-12-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-21111-1-1-1-11111221111-22-1-111-1-10000000000002222-2-2-1-1-1-12-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-21111-1-1-1-11111221111-22-1-111-1-1000000000000
χ232222-2-2-1-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-12222-2-2-2-22211111111-1-1-1-1-2-2-1-1-1-1-221111-1-10000000000002222-2-2-1-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-12222-2-2-2-22211111111-1-1-1-1-2-2-1-1-1-1-221111-1-1000000000000
χ242222-2-2-1-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22211111111-1-1-1-12211112-2-1-1-1-1110000000000002222-2-2-1-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22211111111-1-1-1-12211112-2-1-1-1-111000000000000
χ2522-2-22-222-2-20022-22-2-200002222-2-2-2-222-2-22-2000022-2-2000000002-222-2-2002-2000000000000000022-2-22-222-2-20022-22-2-200002222-2-2-2-222-2-22-2000022-2-2000000002-222-2-2002-20000000000000000
χ2622-2-22-222-2-20022-22-2-200002222-2-2-2-2-2-2222-2000022-2-200000000-22-2-22200-22000000000000000022-2-22-222-2-20022-22-2-200002222-2-2-2-2-2-2222-2000022-2-200000000-22-2-22200-220000000000000000
χ2722-2-22-2-1-111002-112-2-23−33−3-1-1-1-1111122-2-22-20000-1-11133−3−333−3−32-2-1-11100-113−33−300000000000022-2-22-2-1-111002-112-2-23−33−3-1-1-1-1111122-2-22-20000-1-11133−3−333−3−32-2-1-11100-113−33−3000000000000
χ2822-2-22-2-1-111002-112-2-23−33−3-1-1-1-11111-2-2222-20000-1-11133−3−333−3−3-2211-1-1001-1−33−3300000000000022-2-22-2-1-111002-112-2-23−33−3-1-1-1-11111-2-2222-20000-1-11133−3−333−3−3-2211-1-1001-1−33−33000000000000
χ2922-2-22-2-1-111002-112-2-2−33−33-1-1-1-1111122-2-22-20000-1-111−3−333−3−3332-2-1-11100-11−33−3300000000000022-2-22-2-1-111002-112-2-2−33−33-1-1-1-1111122-2-22-20000-1-111−3−333−3−3332-2-1-11100-11−33−33000000000000
χ3022-2-22-2-1-111002-112-2-2−33−33-1-1-1-11111-2-2222-20000-1-111−3−333−3−333-2211-1-1001-13−33−300000000000022-2-22-2-1-111002-112-2-2−33−33-1-1-1-11111-2-2222-20000-1-111−3−333−3−333-2211-1-1001-13−33−3000000000000
χ3122-2-2-2222-2-2002-222-2-200002222-2-2-2-222-2-2-220000-2-22200000000-2222-2-200-22000000000000000022-2-2-2222-2-2002-222-2-200002222-2-2-2-222-2-2-220000-2-22200000000-2222-2-200-220000000000000000
χ3222-2-2-2222-2-2002-222-2-200002222-2-2-2-2-2-222-220000-2-222000000002-2-2-222002-2000000000000000022-2-2-2222-2-2002-222-2-200002222-2-2-2-2-2-222-220000-2-222000000002-2-2-222002-20000000000000000
χ3322-2-2-22-1-1110021-12-2-23−3−33-1-1-1-1111122-2-2-22000011-1-133−3−3−3−333-22-1-111001-13−3−3300000000000022-2-2-22-1-1110021-12-2-23−3−33-1-1-1-1111122-2-2-22000011-1-133−3−3−3−333-22-1-111001-13−3−33000000000000
χ3422-2-2-22-1-1110021-12-2-23−3−33-1-1-1-11111-2-222-22000011-1-133−3−3−3−3332-211-1-100-11−333−300000000000022-2-2-22-1-1110021-12-2-23−3−33-1-1-1-11111-2-222-22000011-1-133−3−3−3−3332-211-1-100-11−333−3000000000000
χ3522-2-2-22-1-1110021-12-2-2−333−3-1-1-1-1111122-2-2-22000011-1-1−3−33333−3−3-22-1-111001-1−333−300000000000022-2-2-22-1-1110021-12-2-2−333−3-1-1-1-1111122-2-2-22000011-1-1−3−33333−3−3-22-1-111001-1−333−3000000000000
χ3622-2-2-22-1-1110021-12-2-2−333−3-1-1-1-11111-2-222-22000011-1-1−3−33333−3−32-211-1-100-113−3−3300000000000022-2-2-22-1-1110021-12-2-2−333−3-1-1-1-11111-2-222-22000011-1-1−3−33333−3−32-211-1-100-113−3−33000000000000
χ372-22-2002-22-200200-22-2000022-2-222-2-22-22-2000000000000000000002-22-200000000002i−2i002i−2i00002-22-2002-22-200200-22-2000022-2-222-2-22-22-2000000000000000000002-22-200000000002i−2i002i−2i0000
χ382-22-2002-22-200200-22-2000022-2-222-2-22-22-2000000000000000000002-22-20000000000−2i2i00−2i2i00002-22-2002-22-200200-22-2000022-2-222-2-22-22-2000000000000000000002-22-20000000000−2i2i00−2i2i0000
χ392-22-2002-22-200200-22-2000022-2-222-2-2-22-2200000000000000000000-22-2200000000002-200-2200002-22-2002-22-200200-22-2000022-2-222-2-2-22-2200000000000000000000-22-2200000000002-200-220000
χ402-22-2002-22-200200-22-2000022-2-222-2-2-22-2200000000000000000000-22-220000000000-22002-200002-22-2002-22-200200-22-2000022-2-222-2-2-22-2200000000000000000000-22-220000000000-22002-20000
χ412-2-22002-2-2200200-2-22000022-2-2-2-2222-2-22000000000000000000002-2-22000000002-2002-20000002-2-22002-2-2200200-2-22000022-2-2-2-2222-2-22000000000000000000002-2-22000000002-2002-2000000
χ422-2-22002-2-2200200-2-22000022-2-2-2-2222-2-22000000000000000000002-2-2200000000-2200-220000002-2-22002-2-2200200-2-22000022-2-2-2-2222-2-22000000000000000000002-2-2200000000-2200-22000000
χ432-2-22002-2-2200200-2-22000022-2-2-2-222-222-200000000000000000000-222-2000000002i−2i00−2i2i0000002-2-22002-2-2200200-2-22000022-2-2-2-222-222-200000000000000000000-222-2000000002i−2i00−2i2i000000
χ442-2-22002-2-2200200-2-22000022-2-2-2-222-222-200000000000000000000-222-200000000−2i2i002i−2i0000002-2-22002-2-2200200-2-22000022-2-2-2-222-222-200000000000000000000-222-200000000−2i2i002i−2i000000
χ45444444444444-144-1-1-14444-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000444444444444-144-1-1-14444-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ464444444444-4-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-10000-1-11111-1-1-1-111111111000000000000000000000000004444444444-4-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-10000-1-11111-1-1-1-11111111100000000000000000000000000
χ47444444-2-2-2-244-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000000000000000000444444-2-2-2-244-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000000000000000000
χ48444444-2-2-2-244-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000000000000000000444444-2-2-2-244-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000000000000000000
χ49444444-2-2-2-2-4-4-1-2-2-1-1-122221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-1-111111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000000444444-2-2-2-2-4-4-1-2-2-1-1-122221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-1-111111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15200000000000000000000000000
χ50444444-2-2-2-2-4-4-1-2-2-1-1-122221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-1-111111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000000444444-2-2-2-2-4-4-1-2-2-1-1-122221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-1-111111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15200000000000000000000000000
χ514444-4-444444-4-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-1000011-1-1111111-1-1-1-11111000000000000000000000000004444-4-444444-4-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-1000011-1-1111111-1-1-1-1111100000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.