Finite Group Databasebeta

← Group #12132545

Character table — Group #12132545

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222444444444444444444448888888888888888888888888888888888888810101010161616161616161616161616161620202020202040404040404040408080
order1222222222551010101010102244444410101010101010101010101044444410101010202020202020202020202020202020202020202020202020202020204444442020202020202020202020204444442224444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111
χ511111111111111111111-1-1-1-1111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111-1-1-1-1111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1111-1-11-1-1-1-111
χ811111111111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-111-11111-1-1
χ9111111111111111111-1-11111-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-11111-1-1-1-1111111-11-1-11-1-1-11-1
χ10111111111111111111-1-11111-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1111-11
χ11111111111111111111-1-11111-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-11-1-1-1-1-1-1-1-11111111111-1-11-1-11-1-1-11
χ12111111111111111111-1-11111-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-1-11111-1-1-1-111-11-1-11-111-11
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-11-111-11-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111111111-1-1-1-11111-1-111-111-1-1-1-11
χ172222222222−1+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ182222222222−1+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+52−1+52−1−52−1−52−1−52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+520000-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+520000221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-22-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-22-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-22-2221−521−521+521+521−521−521+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+52−1−52−1−521−521−521+521+520000-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-22221−521−521+521+521−521−521+521+521−521−521+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+52−1−52−1−5200002-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ252222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ262222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−520000-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ272222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ282222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−520000221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-22-2-2-21+521+521−521−521+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+52−1−52−1−52−1+52−1+521+521+521−521−5200002-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-22-2-21+521+521−521−521+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+521+521+521−521−52−1−52−1−52−1+52−1+520000-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-22-2221+521+521−521−521+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+521+521+521−521−520000-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ322222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-22221+521+521−521−521+521+521−521−521+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+5200002-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ3322222-2-2-2-2222222222220000-2-22-2-22-2-22-2-22-2-20000002222-2-2-2-20000000000000000000000002222000000000000000000-2-2-2002000000
χ3422222-2-2-2-2222222222220000-2-22-2-22-2-22-2-22-2-20000002222-2-2-2-2000000000000000000000000-2-2-2-200000000000000000022200-2000000
χ3522222-2-2-2-2222222222-2-20000222-2-22-2-22-2-22-2-2000000-2-2-2-222220000000000000000000000002222000000000000000000-2-2200-2000000
χ3622222-2-2-2-2222222222-2-20000222-2-22-2-22-2-22-2-2000000-2-2-2-22222000000000000000000000000-2-2-2-200000000000000000022-2002000000
χ372222-22-22-2-22222222200000000-22-2-22-2-22-2-22-2020-200000000000000-2-2-2-2000000000000222222-2-20000000000000000002-200200-20000
χ382222-22-22-2-22222222200000000-22-2-22-2-22-2-22-2020-200000000000000-2-2-2-20000000000002222-2-222000000000000000000-2200-20020000
χ392222-22-22-2-22222222200000000-22-2-22-2-22-2-22-20-202000000000000002222000000000000-2-2-2-222-2-20000000000000000002-200-20020000
χ402222-22-22-2-22222222200000000-22-2-22-2-22-2-22-20-202000000000000002222000000000000-2-2-2-2-2-222000000000000000000-2200200-20000
χ412222-2-22-22-22222222200000000-2-22-2-22-2-22-2-2220-200000000000-2-2-2-20000000000002222000022-2-2000000000000000000-220200-200000
χ422222-2-22-22-22222222200000000-2-22-2-22-2-22-2-2220-200000000000-2-2-2-200000000000022220000-2-2220000000000000000002-20-200200000
χ432222-2-22-22-22222222200000000-2-22-2-22-2-22-2-22-202000000000002222000000000000-2-2-2-2000022-2-2000000000000000000-220-200200000
χ442222-2-22-22-22222222200000000-2-22-2-22-2-22-2-22-202000000000002222000000000000-2-2-2-20000-2-2220000000000000000002-20200-200000
χ452-2-22222-2-2-22222-2-2-2-22-22i2i−2i−2i2-22-2-22-2-2-222-22200002i−2i2-22-22-22-2000000002i2i−2i−2i2i2i−2i−2i000000000000002i−2i2i−2i000000000000000000000000
χ462-2-22222-2-2-22222-2-2-2-22-2−2i−2i2i2i2-22-2-22-2-2-222-2220000−2i2i2-22-22-22-200000000−2i−2i2i2i−2i−2i2i2i00000000000000−2i2i−2i2i000000000000000000000000
χ472-2-22222-2-2-22222-2-2-2-2-222i2i−2i−2i-222-2-22-2-2-222-2220000−2i2i-22-22-22-22000000002i2i−2i−2i2i2i−2i−2i00000000000000−2i2i−2i2i000000000000000000000000
χ482-2-22222-2-2-22222-2-2-2-2-22−2i−2i2i2i-222-2-22-2-2-222-22200002i−2i-22-22-22-2200000000−2i−2i2i2i−2i−2i2i2i000000000000002i−2i2i−2i000000000000000000000000
χ492-2-22222-2-2-2−1+52−1−52−1+52−1−521−521+521−521+522-22i2i−2i−2i2-2−1+521−521−52−1−521+521+521−52−1+52−1+521+52−1−52−1−5200002i−2i−1+521−52−1−521+52−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ502-2-22222-2-2-2−1+52−1−52−1+52−1−521−521+521−521+522-22i2i−2i−2i2-2−1+521−521−52−1−521+521+521−52−1+52−1+521+52−1−52−1−5200002i−2i−1+521−52−1−521+52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
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χ1024-4-44-4-444-44−1−5−1+5−1−5−1+51+51−51+51−5000000001+5−1−51+51−5−1+51−5−1−51+5−1−5−1+51−5−1+500000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000000
χ10388-8-8000000−2+25−2−252−252+252−252+25−2+25−2−25004-44-4000000000000000000000000000000000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000000000
χ10488-8-8000000−2+25−2−252−252+252−252+25−2+25−2−2500-44-440000000000000000000000000000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000
χ10588-8-8000000−2−25−2+252+252−252+252−25−2−25−2+25004-44-4000000000000000000000000000000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000000000
χ10688-8-8000000−2−25−2+252+252−252+252−25−2−25−2+2500-44-440000000000000000000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000
χ1078-88-8000000−2+25−2−252−252+25−2+25−2−252−252+25004i−4i−4i4i000000000000000000000000000000000000−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7000000000000000000000000000000000000000000
χ1088-88-8000000−2+25−2−252−252+25−2+25−2−252−252+2500−4i4i4i−4i0000000000000000000000000000000000002ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7000000000000000000000000000000000000000000
χ1098-88-8000000−2−25−2+252+252−25−2−25−2+252+252−25004i−4i−4i4i000000000000000000000000000000000000−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000
χ1108-88-8000000−2−25−2+252+252−25−2−25−2+252+252−2500−4i4i4i−4i0000000000000000000000000000000000002ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000000

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