Finite Group Databasebeta

← Group #14453288

Character table — Group #14453288

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222244444444444444444444444488888888888888888888888888881010101010101212121212121212121216161616161616162020202020202020202424242424242424242424242424244040404040406060120120120
order122234455666101010101010222288121215152020202024242424303030303030666610101010101010104040404060606060120120120120120120120120226666442020202020202020303030303030303048812122424242444820202020202020204040404022666624248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11-111-1-1111-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-111-1-1-1-1111111111-111-1-1-1-1-111
χ711111111111111111111-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-111-1-111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-111
χ811111111111111111111-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-111-1-1-1-111111111-11-1-111111-1-1
χ9111111111111111111-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-11-1-11111-11-1
χ10111111111111111111-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-111111-1-1-1-11111-11-1-111-1-11-11
χ11111111111111111111-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-111-1-11111-11-1-1-1-1-11111-1-1-1-11-111-1-1-1-11-11
χ12111111111111111111-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111111-111111-1-1-1-111111-111-1-111-11-1
χ13111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11
χ14111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1
χ15111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1
χ16111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111111111-1-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+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+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+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+52−1−52−1+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+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000-2-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000002-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000000-2-21+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000002-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−52000000000-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-21+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−5200000000022-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52−1−52−1+52−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000-2-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000002-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000000-2-21−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000002-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52000000000-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-21−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+5200000000022-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000
χ3322222-2-222222222222000000-2-222-2-2-2-200002222220000000000000000-2-2-2-2000000002222222-222-2-222-2-200000000-200-2-200000000000000000000000002-2000
χ3422222-2-222222222222000000-2-222-2-2-2-200002222220000000000000000-2-2-2-200000000222222-22-2-222-2-22200000000-200-2-20000000000000000000000000-22000
χ3522222-2-222222222222000000-2-222-2-2-2-200002222220000000000000000-2-2-2-200000000-2-2-2-2-2-22-222-2-222-2-200000000200220000000000000000000000000-22000
χ3622222-2-222222222222000000-2-222-2-2-2-200002222220000000000000000-2-2-2-200000000-2-2-2-2-2-2-22-2-222-2-222000000002002200000000000000000000000002-2000
χ372222-12222-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000000000000022-1-1-1-100000
χ382222-12222-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000000-1-1-1-1-1-1-1-1-2-2-2111111000000000000000-2-2111100000
χ392222-12222-1-1-122222222-2-2-2-2-1-1-1-122221111-1-1-1-1-1-1-1-1112222-2-2-2-2-2-2-2-2-1-1-1-11111111122-1-1-1-10000000000-1-1-1-111112-2-2-1-111110000000000000002-2-1-11100000
χ402222-12222-1-1-122222222-2-2-2-2-1-1-1-122221111-1-1-1-1-1-1-1-1112222-2-2-2-2-2-2-2-2-1-1-1-111111111-2-211110000000000-1-1-1-11111-22211-1-1-1-1000000000000000-2211-1-100000
χ412222-12222-1-1-1222222-2-222-2-2-1-1-1-122221111-1-1-1-1-1-111-1-1-2-2-2-22222-2-2-2-2-1-1-1-11111111122-1-1-1-100000000001111-1-1-1-12-2-2-1-11111000000000000000-2211-1-100000
χ422222-12222-1-1-1222222-2-222-2-2-1-1-1-122221111-1-1-1-1-1-111-1-1-2-2-2-22222-2-2-2-2-1-1-1-111111111-2-2111100000000001111-1-1-1-1-22211-1-1-1-10000000000000002-2-1-11100000
χ432222-12222-1-1-1222222-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000011111111222-1-1-1-1-1-1000000000000000-2-2111100000
χ442222-12222-1-1-1222222-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000000000011111111-2-2-211111100000000000000022-1-1-1-100000
χ452-2-222-2222-2-2222-2-2-2-22-22-22-2-222222-2-222-2-2-2-2-2-2222-22-22-22-22-22-22-22-2-2-22222-2-222-2-200000000000000002-22-22-22-200000000000000000000000000000000000
χ462-2-222-2222-2-2222-2-2-2-22-2-22-22-222222-2-2-2-222-2-2-2-2222-2-222-22-2-22-22-22-22-2-222-2-222-2-22200000000000000002-22-2-22-2200000000000000000000000000000000000
χ472-2-222-2222-2-2222-2-2-2-2-222-2-22-222222-2-2-2-222-2-2-2-222-222-2-22-222-22-2-22-22-2-222-2-222-2-2220000000000000000-22-222-22-200000000000000000000000000000000000
χ482-2-222-2222-2-2222-2-2-2-2-22-222-2-222222-2-222-2-2-2-2-2-222-22-22-22-22-22-222-22-2-2-22222-2-222-2-20000000000000000-22-22-22-2200000000000000000000000000000000000
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χ1268-88-8-400−2+25−2−254-442−252+252−25−2+252+25−2−25000000001−51+50000−2i62i62i6−2i6−1+51−5−1−51+5−1+5−1−500000000000000000000−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−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−ζ10300000000000000000000000000000000000000000000000000000000000
χ1278-88-8-400−2+25−2−254-442−252+252−25−2+252+25−2−25000000001−51+500002i6−2i6−2i62i6−1+51−5−1−51+5−1+5−1−500000000000000000000ζ29+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−ζ119ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ10300000000000000000000000000000000000000000000000000000000000
χ1288-8-88-48-8−2−25−2+2544-4−2−25−2+252+252+252−252−25000000-441+51−52+252−25−2−25−2+250000−1−5−1−5−1+5−1+51+51−500000000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-48-8−2+25−2−2544-4−2+25−2−252−252−252+252+25000000-441−51+52−252+25−2+25−2−250000−1+5−1+5−1−5−1−51−51+500000000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000

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