Finite Group Databasebeta

← Group #12150751

Character table — Group #12150751

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222224444444444448888888888888888881616161616161616161616161616161616161616161616161616202020202020202040404040404040408080
order1222224444551010101010101010101020202020202020202224444488202020202020202028101010101010101010102020202020204040404040404040444488882244888848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ4111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ511111111111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ611111111111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111-1-1-1-111-1-1111111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ811111111111111111111111111111111-1-1-1-111-1-1111111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ9111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ10111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ11111111111111111111111111111111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1
χ12111111111111111111111111111111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ13111111111111111111111111111111-1-1-111-111-1-111111111-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ14111111111111111111111111111111-1-1-111-111-1-111111111-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ15111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ16111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ172222222222−1+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+52−1−52−1−522222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222-2-22-2-2-2-21−521−521−521−521+521+521+521+52-22−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ192222222222−1+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+52−1−52−1−5222-222-2-2-2221−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ202222222222−1+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+52−1−52−1−5222-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521−521+521+521−521−521+521+52000000000000000000
χ212222222222−1+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+52−1−52−1−52-2-22222-2-2-2-21−521−521−521−521+521+521+521+522-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22-2-222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ232222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-222-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ242222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2221−521−521−521−521+521+521+521+52221−521−521+521+521−521+52−1+52−1+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
χ252222222222−1−52−1+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+522222222222−1−52−1−52−1−52−1−52−1+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+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222-2-22-2-2-2-21+521+521+521+521−521−521−521−52-22−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ272222222222−1−52−1+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+5222-222-2-2-2221+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ282222222222−1−52−1+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+5222-2-2-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521+521−521−521+521+521−521−52000000000000000000
χ292222222222−1−52−1+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+52-2-22222-2-2-2-21+521+521+521+521−521−521−521−522-21+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+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+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22-2-222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ312222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-222-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-221+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ322222222222−1−52−1+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+52-2-2-2-2-2-2-2-2221+521+521+521+521−521−521−521−52221+521+521−521−521+521−52−1−52−1−52−1+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
χ332222-2-22-2-2222222222-2-2-2-22-22-22-22-200200-20000000000000000002200000000-2-20000000022-2-200000000002-200
χ342222-2-22-2-2222222222-2-2-2-22-22-22-22-200200-20000000000000000002200000000-2-200000000-2-2220000000000-2200
χ352222-2-22-2-2222222222-2-2-2-22-22-22-22-200-2002000000000000000000-2-200000000220000000022-2-20000000000-2200
χ362222-2-22-2-2222222222-2-2-2-22-22-22-22-200-2002000000000000000000-2-2000000002200000000-2-22200000000002-200
χ372222-2-2-222-222222222-2-2-2-2-22-22-22-220002-200000000000000000000000002-22-20000000000000022-2-2002-2000000
χ382222-2-2-222-222222222-2-2-2-2-22-22-22-220002-200000000000000000000000002-22-200000000000000-2-22200-22000000
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χ412-2-222-22-22-222-2-2-2-22222-2-22222-2-2-2-2000000002i−2i0000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000
χ422-2-222-22-22-222-2-2-2-22222-2-22222-2-2-2-2000000002i−2i0000000000000000000000000000002i−2i2i−2i−2i2i−2i2i-22-220000000000
χ432-2-222-22-22-222-2-2-2-22222-2-22222-2-2-2-200000000−2i2i000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i-22-220000000000
χ442-2-222-22-22-222-2-2-2-22222-2-22222-2-2-2-200000000−2i2i000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i2-22-20000000000
χ452-2-22-2222-2-222-2-2-2-222-2-2222-22-2-22-220000002-20022-2-222-2-2000000000000000000000000002i−2i−2i2i000000002i−2i0000
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χ482-2-22-2222-2-222-2-2-2-222-2-2222-22-2-22-22000000-2200-2-222-2-22200000000000000000000000000−2i2i2i−2i000000002i−2i0000
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χ54444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000000000000
χ55444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+500000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000000000000
χ56444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−500000000000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000
χ57444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5000000000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000
χ584444-4-44-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+500400-4000000000000000000−1+5−1−5000000001−51+500000000000000000000000000
χ594444-4-44-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+5−1+51−5−1−51+5−1+51−5−1−51+500-40040000000000000000001−51+500000000−1+5−1−500000000000000000000000000
χ604444-4-44-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51−5−1−51+5−1+51−5−1−51+5−1+51−500400-4000000000000000000−1−5−1+5000000001+51−500000000000000000000000000
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χ664-4-444-44-44-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+5000000004i−4i000000000000000000000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7000000000000000000
χ674-4-444-44-44-4−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+500000000−4i4i0000000000000000000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7000000000000000000
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χ694-4-444-44-44-4−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−500000000−4i4i0000000000000000000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19000000000000000000
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χ724-4-444-4-44-44−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000
χ734-4-444-4-44-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000
χ744-4-444-4-44-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000
χ754-4-44-4444-4-4−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−50000004-400−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000000000
χ764-4-44-4444-4-4−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5000000-44001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000000000
χ774-4-44-4444-4-4−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+50000004-400−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000
χ784-4-44-4444-4-4−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5000000-44001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000
χ794-4-44-44-4-444−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+54-4000000000000000000−1+51−5−1−51+500000000000000000000000000000000000000
χ804-4-44-44-4-444−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5-440000000000000000001−5−1+51+5−1−500000000000000000000000000000000000000
χ814-4-44-44-4-444−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−54-4000000000000000000−1−51+5−1+51−500000000000000000000000000000000000000
χ824-4-44-44-4-444−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+51+5−1−51−5−1+5−1−51+5−1+51−5-440000000000000000001+5−1−51−5−1+500000000000000000000000000000000000000
χ8388-8-8000000888-88-8-8-800000000000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8000000−2+25−2−25−2+252−25−2−252+252−252+2500000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000000000000000000000000
χ8588-8-8000000−2+25−2−25−2+252−25−2−252+252−252+250000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000000000000000000000000
χ8688-8-8000000−2−25−2+25−2−252+25−2+252−252+252−250000000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000
χ8788-8-8000000−2−25−2+25−2−252+25−2+252−252+252−2500000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000
χ888-88-800000088-88-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000000000000000000000000
χ908-88-8000000−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000000000000000000000000
χ918-88-8000000−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000000−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000000000
χ928-88-8000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000002ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.