Finite Group Databasebeta

← Group #14435550

Character table — Group #14435550

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444668888888888888888888888888888101010101212121212121216161616161616161616202020202020242424242424242424242424303040404040404040404848606060120120
order1222344556661010101010104412121515202020203030303030302248121212122020202024244040404060606060120120120120120120120120444444410101010202060606060606060604412121212482020202020204040404044266812122424202044448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1
χ4111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-111
χ51111111111111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-111
χ81111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11111111-1-1
χ9111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-11111-1-111111-111-1-1-1-1-1-1-1-111111-1-1-1-1-1111-1-11-1
χ10111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-11
χ11111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1111111-1-1-11-1-111-1-11-1-1-11
χ12111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-11111-1-1111-111-1-1-1-1-1111-1
χ13111111111111111111-1-111111111111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-1-11111-11-1-111111111-1-1111-1-1-1-1-1-1-1-111-11
χ14111111111111111111-1-111111111111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-11111111111-1-1-111111-1-11-1-11-1
χ15111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1111-1
χ16111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-111111-111-1-1111-1-1-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+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+520000222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-222-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000222−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000001+521−5200000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2222222−1−52−1−52−1+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+520000-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-21+521−521+521+521−521−521+521+521−521−5200000000001+521−5200000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000-2-2-21+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000221+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000−1−52−1+5200000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2221+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000-2-22−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000002-2−1−52−1+521+521+521−521−521+521+521−521−520000000000−1−52−1+5200000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-22-2-2-2-21+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+520000-2-22−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−52000000-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000001+521−5200000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2-2221+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000022-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000001+521−5200000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22-2-2-2-21+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+52000022-21+521+521−521−521+521−521+521+521−521−521+521+521−521−520000002-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000−1−52−1+5200000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−520000222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−5200000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-222-2-2−1+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+520000222−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000001−521+5200000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2222222−1+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+52−1−52−1−52−1−52−1−520000-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-21−521+521−521−521+521+521−521−521+521+5200000000001−521+5200000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2−1+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+520000-2-2-21−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000221−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000−1+52−1−5200000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2221−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000-2-22−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000002-2−1+52−1−521−521−521+521+521−521−521+521+520000000000−1+52−1−5200000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-22-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−520000-2-22−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+52000000-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000001−521+5200000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2-2221−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000022-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+5200000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−52000022-21−521−521+521+521−521+521−521−521+521+521−521−521+521+520000002-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000−1+52−1−5200000
χ3322222-2-22222222222200-2-222-2-2-2-2222222220000000000000000-2-2-2-20000000022-2-200-22222000000000000-2-22200-2-200000000-2-2000000000020000
χ3422222-2-22222222222200-2-222-2-2-2-2222222220000000000000000-2-2-2-200000000-2-22200-2222200000000000022-2-200-2-200000000220000000000-20000
χ3522222-2-22222222222200-2-222-2-2-2-2222222-2-20000000000000000-2-2-2-20000000022-2-2002-2-2-2-2000000000000-2-222002200000000220000000000-20000
χ3622222-2-22222222222200-2-222-2-2-2-2222222-2-20000000000000000-2-2-2-200000000-2-222002-2-2-2-200000000000022-2-2002200000000-2-2000000000020000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10022-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000022-1-1-1-1-1-1-1-122-1-1-1-1000000000000002-1-12-1-1-1-10000000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10022-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000022-1-1-1-1-1-1-1-1-2-2111100000000000000-211-211110000000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-2-1-111222211-2-2-2-2-1-1-1-11111111122220000000-2-2-1-1-1-1111122-1-1-1-100000000000000-211-2-1-1110000000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-100-2-2-1-111222211-2-2-2-2-1-1-1-111111111-2-2-2-20000000-2-2-1-1-1-11111-2-21111000000000000002-1-1211-1-10000000
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1002-211-1-1-2-2-2-211-2-2-2-2-1-1-1-11111111122220000000221111-1-1-1-1-2-2-1-1-1-1000000000000002-1-1-211110000000
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1002-211-1-1-2-2-2-211-2-2-2-2-1-1-1-111111111-2-2-2-20000000221111-1-1-1-122111100000000000000-2112-1-1-1-10000000
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-221111-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000-2-211111111-2-2-1-1-1-100000000000000-211211-1-10000000
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100-221111-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000-2-211111111221111000000000000002-1-1-2-1-1110000000
χ452-22-222-222-2-22-2-22-22-200-2222-2-222-2-222-2-200000000000000000022-2-2000000002i−2i2i−2i2i−2i000000000000000002i−2i2i−2i00002i−2i2i−2i000000000000000002-200
χ462-22-222-222-2-22-2-22-22-200-2222-2-222-2-222-2-200000000000000000022-2-2000000002i−2i2i−2i−2i2i000000000000000002i−2i2i−2i0000−2i2i−2i2i00000000000000000-2200
χ472-22-222-222-2-22-2-22-22-200-2222-2-222-2-222-2-200000000000000000022-2-200000000−2i2i−2i2i2i−2i00000000000000000−2i2i−2i2i00002i−2i2i−2i00000000000000000-2200
χ482-22-222-222-2-22-2-22-22-200-2222-2-222-2-222-2-200000000000000000022-2-200000000−2i2i−2i2i−2i2i00000000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000000002-200
χ492-22-22-2222-2-22-2-22-22-22i−2i2-22222-2-2-2-222-2-200002i−2i002i−2i2i−2i000000-2-222000000002i−2i−2i2i0000000002i−2i2i−2i00002-2−2i2i2i−2i0000000000000000002-2000000000
χ502-22-22-2222-2-22-2-22-22-22i−2i2-22222-2-2-2-222-2-200002i−2i002i−2i2i−2i000000-2-22200000000−2i2i2i−2i0000000002i−2i2i−2i0000-222i−2i−2i2i000000000000000000-22000000000
χ512-22-22-2222-2-22-2-22-22-2−2i2i2-22222-2-2-2-222-2-20000−2i2i00−2i2i−2i2i000000-2-222000000002i−2i−2i2i000000000−2i2i−2i2i0000-22−2i2i2i−2i000000000000000000-22000000000
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χ1208-8-88-400−2+25−2−25-444−2+25−2−252−252−252+252+2500001−51+500001−51+5−1+5−1−5−1+5−1−500000000000000−2ζ29−2ζ31+2ζ61−2ζ71+2ζ79+2ζ101−2ζ109+2ζ1192ζ29+2ζ31−2ζ61+2ζ71−2ζ79−2ζ101+2ζ109−2ζ119−2ζ7−2ζ13+2ζ23+2ζ37−2ζ47−2ζ53+2ζ77+2ζ1032ζ7+2ζ13−2ζ23−2ζ37+2ζ47+2ζ53−2ζ77−2ζ1030000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ10300000000000000000000000000000000000000000000000000000000

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