Finite Group Databasebeta

← Group #14459091

Character table — Group #14459091

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444446688888888888888888888888881010121212121212121616161616161616161616202020202024242424242424242424242430303030303040404040404040484860606080120
order1222344556661010101010104488121215152020202030303030303022412122020202024244040404060606060120120120120120120120120444881010101012202060606060606060602881212442020202020204040404044888824612122424202022462
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-11-1
χ4111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-11
χ511111111111111111111-1-11111111111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-1-11111-1-1-1-11-1-111-11111111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11-11
χ611111111111111111111-1-11111111111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-11111-1-1-1-1-111-1-1-11111111-1-1-1-1-1-111111-1-1-1-111-1-111-11-1
χ711111111111111111111-1-111111111111111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-1-11111-1-11111-11111-1-11111-1-1-1
χ811111111111111111111-1-111111111111111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1111
χ9111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11111111111-1-11-1-111-1-1-1-11-1-1
χ10111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-111-111
χ11111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-11
χ12111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-111-1-111-1-111-1
χ13111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111111-1-1111-111-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1-1-1111111-1
χ14111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-111-1-11-111-1-1-1-1-1-1-1-1-1-11111-11-1111111-1-1-1-11
χ15111111111111111111-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1111-1-1-1-111111-1-111-11-1-111111111-1-111111-11-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-111-1-1-11-1-11111111111-1-1-1-1-11-11111-1-1111-1-1
χ172222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2-21+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000-2-21+521−521+521+521−521−521+521+521−521−5200000000000001+521−5200000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52002-2-2−1−52−1−52−1+52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000001+521−5200000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2221+521+521−521−52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52000002-21+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000−1−52−1+5200000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-21+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200222−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521+521−521−5200000-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000001+521−5200000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-21+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2-21+521+521−521−52-21+521−521+521+521−521−521+521+521−521−5200000221+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000−1−52−1+5200000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52002-2-2−1−52−1−52−1+52−1+522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000002-2−1−52−1+521+521+521−521−521+521+521−521−520000000000000−1−52−1+5200000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2221+521+521−521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000001+521−5200000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000−1+52−1−5200000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-21−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000-2-21−521+521−521−521+521+521−521−521+521+5200000000000001−521+5200000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-222−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52002-2-2−1+52−1+52−1−52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000001−521+5200000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-222−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2221−521−521+521+52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52000002-21−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000−1+52−1−5200000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200222−1+52−1+52−1−52−1−52-21−521+521−521−521+521+521−521−521+521+5200000-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000001−521+5200000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-21−521−521+521+52-21−521+521−521−521+521+521−521−521+521+5200000221−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000−1+52−1−5200000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52002-2-2−1+52−1+52−1−52−1−522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000002-2−1+52−1−521−521−521+521+521−521−521+521+520000000000000−1+52−1−5200000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2221−521−521+521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000001−521+5200000
χ3322222-2-2222222222220000-2-222-2-2-2-2222222220000000000000-2-2-2-20000000022-200222200000000000-2002200-2-20000000022000000-200000000-200
χ3422222-2-2222222222220000-2-222-2-2-2-2222222220000000000000-2-2-2-200000000-2-2-200222200000000000200-2-200-2-200000000-2-2000000200000000200
χ3522222-2-2222222222220000-2-222-2-2-2-2222222-2-20000000000000-2-2-2-20000000022200-2-2-2-200000000000-20022002200000000-2-2000000-200000000200
χ3622222-2-2222222222220000-2-222-2-2-2-2222222-2-20000000000000-2-2-2-200000000-2-2200-2-2-2-200000000000200-2-200220000000022000000200000000-200
χ372222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1002-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000-122-1-1-1-1-1-1-1-1222-1-100000000000000000022-1-1-1-1-100000-10
χ382222-12222-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1002-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000-122-1-1-1-1-1-1-1-1-2-2-211000000000000000000-2-2111110000010
χ392222-12222-1-1-122222222-2-2-1-1-1-12222-1-1-1-1-1-100-2-1-1222211-2-2-2-2-1-1-1-1111111112200000001-2-2-1-1-1-111112-2-2-1-1000000000000000000-22-1-1-1110000010
χ402222-12222-1-1-122222222-2-2-1-1-1-12222-1-1-1-1-1-100-2-1-1222211-2-2-2-2-1-1-1-111111111-2-200000001-2-2-1-1-1-11111-222110000000000000000002-2111-1-100000-10
χ412222-12222-1-1-1222222-2-222-1-1-1-12222-1-1-1-1-1-100-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200000001-2-211111111222-1-1000000000000000000-2-2-111-1-10000010
χ422222-12222-1-1-1222222-2-222-1-1-1-12222-1-1-1-1-1-100-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000001-2-211111111-2-2-211000000000000000000221-1-11100000-10
χ432222-12222-1-1-1222222-2-2-2-2-1-1-1-12222-1-1-1-1-1-100211-2-2-2-211-2-2-2-2-1-1-1-111111111220000000-1221111-1-1-1-12-2-2-1-10000000000000000002-2-1111100000-10
χ442222-12222-1-1-1222222-2-2-2-2-1-1-1-12222-1-1-1-1-1-100211-2-2-2-211-2-2-2-2-1-1-1-111111111-2-20000000-1221111-1-1-1-1-22211000000000000000000-221-1-1-1-10000010
χ4522-2-222-222-22-2-2-22-22-22i−2i002-22222-2-2-2-222-2-20002i−2i2i−2i2i−2i000000-2-222000000000000000000002i−2i2i−2i000000000000000000000002i2i−2i−2i0000000002-2000
χ4622-2-222-222-22-2-2-22-22-22i−2i002-22222-2-2-2-222-2-20002i−2i2i−2i2i−2i000000-2-222000000000000000000002i−2i2i−2i00000000000000000000000−2i−2i2i2i000000000-22000
χ4722-2-222-222-22-2-2-22-22-2−2i2i002-22222-2-2-2-222-2-2000−2i2i−2i2i−2i2i000000-2-22200000000000000000000−2i2i−2i2i000000000000000000000002i2i−2i−2i000000000-22000
χ4822-2-222-222-22-2-2-22-22-2−2i2i002-22222-2-2-2-222-2-2000−2i2i−2i2i−2i2i000000-2-22200000000000000000000−2i2i−2i2i00000000000000000000000−2i−2i2i2i0000000002-2000
χ492-22-220022-2-2222-2-2-2-2002−20022000022-2-2-2-22-200000002−22−22−2000022−2−222−2−22i−2i02−22-22-2000000000000−i2i22i−2i000000002−22−22i−2i−i2i2−i2i200000−i2i20000000
χ502-22-220022-2-2222-2-2-2-2002−20022000022-2-2-2-22-200000002−22−22−2000022−2−222−2−2−2i2i02−22-22-2000000000000i2−i2−2i2i000000002−22−2−2i2ii2−i2i2−i200000i2−i20000000
χ512-22-220022-2-2222-2-2-2-2002−20022000022-2-2-2-2-2200000002−22−22−2000022−2−222−2−22i−2i0−22-22-22000000000000−i2i22i−2i00000000−22−22−2i2ii2−i2i2−i200000−i2i20000000
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χ1034-44-4-2004422-244-4-4-4-400−222200-2-20000-2-222220000000002−2−2222−2222000022−2−222−2−2−4i4i0000000000000000000−2i22i22i−2i00000000000000000000000i2−i20000000
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χ1128-88-8-400−2+25−2−2544-4−2+25−2−252−252−252+252+250042−42001−51+500001−51+5−1+5−1−5−1+5−1−5000000000−22222ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ119−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ119−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1032ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ1030000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103000000000000000000000000000000000000000000000000000000000
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χ1208-8-88-400−2+25−2−25-4442−252+252−25−2+252+25−2−250000001−51+50000−1+5−1−5−1+5−1−51−51+50000000000000000000ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.