Finite Group Databasebeta

← Group #12130876

Character table — Group #12130876

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222244444444444444448888888888888888101010101616161616161616161616161616161616161616161616161616202020202020202020204040404040408080
order1222222222551010101010102222101010101010101010101010224444441010101010101010222244101010102020202020202020202020202020202020202020222222224424444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-11-111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ411111111111111111111111111111111111-1-1-11-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111-11-1-1-11-1-11111111111111-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111111-11-1-1-11-1-111111111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1111-11
χ71111111111111111111111111111111111-1-111-1-1-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-11-1-1-11
χ81111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1111-1
χ9111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ10111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ11111111111111111111-1-1-1-11111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1
χ13111111111111111111-1-1-1-1111111111111-11-1-1-1111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-111-11
χ14111111111111111111-1-1-1-1111111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1111111111-1-11-1-11-1
χ15111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1
χ16111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-111-1-1-1-11
χ172222222222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52000022−1+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+52−1−52−1−52000000000000000000
χ182222222222−1+52−1−52−1+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+52−1−52−1−52−1−522-2-2-22-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ192222222222−1+52−1−52−1+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+52−1−52−1−52−1−52-22-2-2-22-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-21−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ202222222222−1+52−1−52−1+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+52−1−52−1−52−1−52-2-222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-221−521+521−521+52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222-2-21−521−521−521−521+521+521+521+520000-2-2−1+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+521−521−521+521+521−521−521+521+52000000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-22-2-2-21−521−521−521−521+521+521+521+52000022−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ232222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2-22221−521−521−521−521+521+521+521+520000-221−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ242222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2221−521−521−521−521+521+521+521+5200002-21−521+521−521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ252222222222−1−52−1+52−1−52−1−52−1+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+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022−1−52−1+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+52000000000000000000
χ262222222222−1−52−1+52−1−52−1−52−1+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+522-2-2-22-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ272222222222−1−52−1+52−1−52−1−52−1+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+52-22-2-2-22-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-21+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ282222222222−1−52−1+52−1−52−1−52−1+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+52-2-222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-221+521−521+521−52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ292222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222-2-21+521+521+521+521−521−521−521−520000-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ302222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-22-2-2-21+521+521+521+521−521−521−521−52000022−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ312222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-22221+521+521+521+521−521−521−521−520000-221+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ322222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2221+521+521+521+521−521−521−521−5200002-21+521−521+521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3322222-2-2-2-222222222200002-2-22-2-22-2-22-2-22000-20000000000022220022000000-2-200000000000000-2-2000022-2-200000000
χ3422222-2-2-2-222222222200002-2-22-2-22-2-22-2-22000-200000000000-2-2-2-20022000000-2-200000000000000220000-2-22200000000
χ3522222-2-2-2-222222222200002-2-22-2-22-2-22-2-2-2000200000000000222200-2-20000002200000000000000-2-20000-2-22200000000
χ3622222-2-2-2-222222222200002-2-22-2-22-2-22-2-2-2000200000000000-2-2-2-200-2-2000000220000000000000022000022-2-200000000
χ372222-22-22-2-2222222220000-22-2-22-2-22-2-22-2002-200000000000022-2-20000002-22-200000000000000002-200000000200-20000
χ382222-22-22-2-2222222220000-22-2-22-2-22-2-22-2002-2000000000000-2-2220000002-22-20000000000000000-2200000000-20020000
χ392222-22-22-2-2222222220000-22-2-22-2-22-2-22-200-2200000000000022-2-2000000-22-2200000000000000002-200000000-20020000
χ402222-22-22-2-2222222220000-22-2-22-2-22-2-22-200-22000000000000-2-222000000-22-220000000000000000-2200000000200-20000
χ412222-2-22-22-2222222220000-2-22-2-22-2-22-2-2202000-2000000000022-2-2000022000000-2-2000000000000-220000000002-200000
χ422222-2-22-22-2222222220000-2-22-2-22-2-22-2-2202000-20000000000-2-222000022000000-2-20000000000002-2000000000-2200000
χ432222-2-22-22-2222222220000-2-22-2-22-2-22-2-220-20002000000000022-2-20000-2-200000022000000000000-22000000000-2200000
χ442222-2-22-22-2222222220000-2-22-2-22-2-22-2-220-200020000000000-2-2220000-2-2000000220000000000002-20000000002-200000
χ452-2-22-22-2-22222-2-2-2-2220000-2-22-2-2222-222-20000002-2000000000000000000000000002-22-2000000000022-2-22-22-200000000
χ462-2-22-22-2-22222-2-2-2-2220000-2-22-2-2222-222-20000002-2000000000000000000000000002-22-20000000000-2-222-22-2200000000
χ472-2-22-22-2-22222-2-2-2-2220000-2-22-2-2222-222-2000000-2200000000000000000000000000-22-22000000000022-2-2-22-2200000000
χ482-2-22-22-2-22222-2-2-2-2220000-2-22-2-2222-222-2000000-2200000000000000000000000000-22-220000000000-2-2222-22-200000000
χ492-2-22-2-222-2222-2-2-2-22222-2-2-22-2-22-22-222-220000000022-2-222-2-20000000000000000000000000000000000002-2-2200002-200
χ502-2-22-2-222-2222-2-2-2-22222-2-2-22-2-22-22-222-220000000022-2-222-2-2000000000000000000000000000000000000-222-20000-2200
χ512-2-22-2-222-2222-2-2-2-222-2-222-22-2-22-22-222-2200000000-2-222-2-2220000000000000000000000000000000000002-2-220000-2200
χ522-2-22-2-222-2222-2-2-2-222-2-222-22-2-22-22-222-2200000000-2-222-2-222000000000000000000000000000000000000-222-200002-200
χ5344444-4-4-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000−1+51−51−5−1−51+51+5−1+51−51−5−1−51+51+54000-400000000000000000−1+5−1−50000001−51+500000000000000000000000000000000
χ5444444-4-4-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000−1+51−51−5−1−51+51+5−1+51−51−5−1−51+51+5-40004000000000000000001−51+5000000−1+5−1−500000000000000000000000000000000
χ5544444-4-4-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−54000-400000000000000000−1−5−1+50000001+51−500000000000000000000000000000000
χ5644444-4-4-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−5-40004000000000000000001+51−5000000−1−5−1+500000000000000000000000000000000
χ574444-44-44-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−5−1+51−51+5−1−51+51−5−1+51−51+5−1−51+5004-40000000000000000000000−1+51−5−1−51+50000000000000000000000000000000000
χ584444-44-44-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−5−1+51−51+5−1−51+51−5−1+51−51+5−1−51+500-4400000000000000000000001−5−1+51+5−1−50000000000000000000000000000000000
χ594444-44-44-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−5004-40000000000000000000000−1−51+5−1+51−50000000000000000000000000000000000
χ604444-44-44-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−500-4400000000000000000000001+5−1−51−5−1+50000000000000000000000000000000000
χ614444-4-44-44-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51−5−1+51+51+5−1−51−51−5−1+51+51+5−1−504000-4000000000000000000−1+5−1−50000001−51+5000000000000000000000000000000
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χ634444-4-44-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+5−1−51−51−5−1+51+51+5−1−51−51−5−1+504000-4000000000000000000−1−5−1+50000001+51−5000000000000000000000000000000
χ644444-4-44-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+5−1−51−51−5−1+51+51+5−1−51−51−5−1+50-400040000000000000000001+51−5000000−1−5−1+5000000000000000000000000000000
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χ774-4-44444-4-4-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−51+51+5−1+51−51−51+5−1−5−1−51−5−1+5−1+5000000000000000000000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000
χ784-4-444-4-444-444-4-4-4-4440000444444-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ794-4-444-4-444-4−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1+5−1+5−1−5−1−5−1−51−51−51−51+51+51+5000000000000000000000000000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000
χ804-4-444-4-444-4−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1+5−1+5−1−5−1−5−1−51−51−51−51+51+51+50000000000000000000000000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000
χ814-4-444-4-444-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1−5−1−5−1+5−1+5−1+51+51+51+51−51−51−50000000000000000000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000
χ824-4-444-4-444-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1−5−1−5−1+5−1+5−1+51+51+51+51−51−51−5000000000000000000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000
χ834-4-44-44-4-444−1+5−1−51−51−51+51+5−1+5−1−500001−51−5−1+51+51+5−1−5−1+5−1+51−5−1−5−1−51+50000004-400000000000000000000000000−1+51−5−1−51+500000000000000000000000000
χ844-4-44-44-4-444−1+5−1−51−51−51+51+5−1+5−1−500001−51−5−1+51+51+5−1−5−1+5−1+51−5−1−5−1−51+5000000-44000000000000000000000000001−5−1+51+5−1−500000000000000000000000000
χ854-4-44-44-4-444−1−5−1+51+51+51−51−5−1−5−1+500001+51+5−1−51−51−5−1+5−1−5−1−51+5−1+5−1+51−50000004-400000000000000000000000000−1−51+5−1+51−500000000000000000000000000
χ864-4-44-44-4-444−1−5−1+51+51+51−51−5−1−5−1+500001+51+5−1−51−51−5−1+5−1−5−1−51+5−1+5−1+51−5000000-44000000000000000000000000001+5−1−51−5−1+500000000000000000000000000
χ874-4-44-4-444-44−1+5−1−51−51−51+51+5−1+5−1−544-4-41−5−1+51−51+5−1−51+5−1+51−5−1+5−1−51+5−1−500000000−1+5−1+51−51−5−1−5−1−51+51+5000000000000000000000000000000000000000000000000
χ884-4-44-4-444-44−1+5−1−51−51−51+51+5−1+5−1−5-4-4441−5−1+51−51+5−1−51+5−1+51−5−1+5−1−51+5−1−5000000001−51−5−1+5−1+51+51+5−1−5−1−5000000000000000000000000000000000000000000000000
χ894-4-44-4-444-44−1−5−1+51+51+51−51−5−1−5−1+544-4-41+5−1−51+51−5−1+51−5−1−51+5−1−5−1+51−5−1+500000000−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000000000000000000000000000000000
χ904-4-44-4-444-44−1−5−1+51+51+51−51−5−1−5−1+5-4-4441+5−1−51+51−5−1+51−5−1−51+5−1−5−1+51−5−1+5000000001+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000000000000000000000000000000000
χ9188-8-8000000−2+25−2−25−2+252−25−2−252+252−252+254-44-400000000000000000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000000000000000
χ9288-8-8000000−2+25−2−25−2+252−25−2−252+252−252+25-44-44000000000000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000000000
χ9388-8-8000000−2−25−2+25−2−252+25−2+252−252+252−254-44-400000000000000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000000000000000
χ9488-8-8000000−2−25−2+25−2−252+25−2+252−252+252−25-44-44000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000000000
χ958-88-8000000−2+25−2−252−25−2+252+25−2−252−252+254-4-4400000000000000000000−1+51−51−5−1+5−1−51+51+5−1−5000000000000000000000000000000000000000000000000
χ968-88-8000000−2+25−2−252−25−2+252+25−2−252−252+25-444-4000000000000000000001−5−1+5−1+51−51+5−1−5−1−51+5000000000000000000000000000000000000000000000000
χ978-88-8000000−2−25−2+252+25−2−252−25−2+252+252−254-4-4400000000000000000000−1−51+51+5−1−5−1+51−51−5−1+5000000000000000000000000000000000000000000000000
χ988-88-8000000−2−25−2+252+25−2−252−25−2+252+252−25-444-4000000000000000000001+5−1−5−1−51+51−5−1+5−1+51−5000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1).