Finite Group Databasebeta

← Group #12152986

Character table — Group #12152986

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222444444444444444444448888888888888888888888888888888888888810101010161616161616161616161616161620202020202040404040404040408080
order1222224444551010101010104444444410101010202020202020202024448810101010202020202020202020202020202020202020202020202020202020204444482020202040404040404040404444442244448848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-1-11-111-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11-1-111
χ51111111111111111111111-1-1-1-11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-1-1-11111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11-1-1-11-1-1-111
χ81111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1111-1111-1-1
χ9111111111111111111-1-1-1-111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-11111111111-11-1-1-11-1-1-11
χ10111111111111111111-1-1-1-111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111-1111-1
χ11111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1
χ12111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-11-1-1-11111-1
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-111111-1111-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111111111-1-1-1-1-1-111-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1111111-1-111-1-11-1
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+52−1−52−1−52-2-2-2-2221−521−521+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+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+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000-2-21−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521+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+521−521−521+521+521−521−521−521−521+521+521+521+52000022−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+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+52−1−52−1−52−1−52−1−520000-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ222222222222−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+52−1−52−1−522-2-2222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+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+5200002-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−52-222-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+520000-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
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+52-2-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ272222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000-2-21+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+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521+521+521−521−521−521−52000022−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+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+520000-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-2-2-21+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+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
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+522-2-2222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200002-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
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+52-222-2221+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+521+521+521−521−521+521+521+521+521−521−521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ33222222-2-2-2-222222222000000002222-2-2-2-2-2-2-2-202-200000000000000022-2-222-2-200000000000022-2-2000000000000002-20000002-2000000
χ34222222-2-2-2-222222222000000002222-2-2-2-2-2-2-2-202-200000000000000022-2-222-2-2000000000000-2-22200000000000000-22000000-22000000
χ35222222-2-2-2-222222222000000002222-2-2-2-2-2-2-2-20-22000000000000000-2-222-2-22200000000000022-2-2000000000000002-2000000-22000000
χ36222222-2-2-2-222222222000000002222-2-2-2-2-2-2-2-20-22000000000000000-2-222-2-222000000000000-2-22200000000000000-220000002-2000000
χ372222-2-22-2-222222222222-2-20000-2-2-2-22-22-22-22-200000000002222-2-2-2-20000000000000000000022-2-200000000000000-2200002000-200000
χ382222-2-22-2-222222222222-2-20000-2-2-2-22-22-22-22-200000000002222-2-2-2-200000000000000000000-2-222000000000000002-20000-2000200000
χ392222-2-22-2-2222222222-2-2220000-2-2-2-22-22-22-22-20000000000-2-2-2-222220000000000000000000022-2-200000000000000-220000-2000200000
χ402222-2-22-2-2222222222-2-2220000-2-2-2-22-22-22-22-20000000000-2-2-2-2222200000000000000000000-2-222000000000000002-200002000-200000
χ412222-2-2-222-22222222200000000-2-2-2-2-22-22-22-22200-20022220000000000000000-2-2-2-200000000222200000000000000-2-2000002000-20000
χ422222-2-2-222-22222222200000000-2-2-2-2-22-22-22-22200-20022220000000000000000-2-2-2-200000000-2-2-2-2000000000000002200000-200020000
χ432222-2-2-222-22222222200000000-2-2-2-2-22-22-22-22-200200-2-2-2-20000000000000000222200000000222200000000000000-2-200000-200020000
χ442222-2-2-222-22222222200000000-2-2-2-2-22-22-22-22-200200-2-2-2-20000000000000000222200000000-2-2-2-20000000000000022000002000-20000
χ452-2-222-22-22-222-2-2-2-2222i−2i2i−2i0000-2-2222222-2-2-2-200000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000002i2i−2i−2i0000002-200
χ462-2-222-22-22-222-2-2-2-2222i−2i2i−2i0000-2-2222222-2-2-2-200000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000−2i−2i2i2i000000-2200
χ472-2-222-22-22-222-2-2-2-222−2i2i−2i2i0000-2-2222222-2-2-2-20000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000002i2i−2i−2i000000-2200
χ482-2-222-22-22-222-2-2-2-222−2i2i−2i2i0000-2-2222222-2-2-2-20000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000−2i−2i2i2i0000002-200
χ492-2-22-2222-2-222-2-2-2-2222i−2i−2i2i2i2i−2i−2i22-2-22-22-2-22-2200002-200002i−2i2i−2i−2i2i−2i2i0000000000002i2i−2i−2i2i2i−2i−2i00000000002-22-200000000000000000000
χ502-2-22-2222-2-222-2-2-2-2222i−2i−2i2i−2i−2i2i2i22-2-22-22-2-22-220000-2200002i−2i2i−2i−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000-22-2200000000000000000000
χ512-2-22-2222-2-222-2-2-2-222−2i2i2i−2i2i2i−2i−2i22-2-22-22-2-22-220000-220000−2i2i−2i2i2i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000-22-2200000000000000000000
χ522-2-22-2222-2-222-2-2-2-222−2i2i2i−2i−2i−2i2i2i22-2-22-22-2-22-2200002-20000−2i2i−2i2i2i−2i2i−2i000000000000−2i−2i2i2i−2i−2i2i2i00000000002-22-200000000000000000000
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χ974-4-444-4-44-44−1−5−1+51+51−51+51−5−1−5−1+5000000001+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000
χ984-4-44-44-4-44444-4-4-4-4440000000044-4-4-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-44-44-4-444−1+5−1−51−51+51−51+5−1+5−1−500000000−1+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ70000000000000000000000000000000000000000000000
χ1004-4-44-44-4-444−1+5−1−51−51+51−51+5−1+5−1−500000000−1+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+50000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ70000000000000000000000000000000000000000000000
χ1014-4-44-44-4-444−1−5−1+51+51−51+51−5−1−5−1+500000000−1−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−50000000000000000002ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000000000000000
χ1024-4-44-44-4-444−1−5−1+51+51−51+51−5−1−5−1+500000000−1−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000000000000000
χ10388-8-8000000−2+25−2−25−2+25−2−252−252+252−252+2500004-44-4000000000000000000000000000000000000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000
χ10488-8-8000000−2+25−2−25−2+25−2−252−252+252−252+250000-44-440000000000000000000000000000000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000
χ10588-8-8000000−2−25−2+25−2−25−2+252+252−252+252−2500004-44-4000000000000000000000000000000000000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000
χ10688-8-8000000−2−25−2+25−2−25−2+252+252−252+252−250000-44-440000000000000000000000000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000
χ1078-88-8000000−2+25−2−252−252+25−2+25−2−252−252+2500004i−4i−4i4i000000000000000000000000000000000000000000−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000000000
χ1088-88-8000000−2+25−2−252−252+25−2+25−2−252−252+250000−4i4i4i−4i0000000000000000000000000000000000000000002ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000000000000000000000000000
χ1098-88-8000000−2−25−2+252+252−25−2−25−2+252+252−2500004i−4i−4i4i000000000000000000000000000000000000000000−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000
χ1108-88-8000000−2−25−2+252+252−25−2−25−2+252+252−250000−4i4i4i−4i0000000000000000000000000000000000000000002ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000

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