Finite Group Databasebeta

← Group #12133981

Character table — Group #12133981

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222444444444444444444448888888888888888888888888888888888888810101010161616161616161616161616161620202020202040404040404040408080
order1222224444551010101010104444444410101010202020202020202024444410101010202020202020202020202020202020202020202020202020202020204444882020202040404040404040404444442444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1
χ411111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-1
χ61111111111111111111111-1-1-1-111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111
χ71111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-111
χ81111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111111-1-1111-1-1
χ9111111111111111111-1-1-1-111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-111-1
χ10111111111111111111-1-1-1-111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ11111111111111111111-1-1-1-11111111111111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-11
χ12111111111111111111-1-1-1-11111111111111111-11-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111111-1
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111-111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1111111-1-1-1-11-1-1-1-1111-11
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111-111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11111-11111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111111111-1-1-1-111-1-1-1-1-111-1-111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-111111-1-111-1-11-11
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+52−1−52−1−52-2-222-2-21−521−521+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+52−1−52−1−52−1−52−1−520000-2-2−1+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+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+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+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-22−1+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+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-21−521−521+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+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-22-21−521−521+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+52−1−52−1−52−1+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
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+52−1−52−1−522-222-22−1+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+521−521−521+521+521−521−521−521−521+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+52−1−52−1−52-22222-21−521−521+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+52−1−52−1−521−521−521−521−521+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
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+52-2-222-2-21+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+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+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+5222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521+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+521−521−521−521−520000221+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+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-22-21+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+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
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+522-222-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521+521+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+52-22222-21+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+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
χ33222222-2-2-2-22222222222-2-200002222-2-2-2-2-2-2-2-200000000000000000022-2-222-2-2000000000000222200000000000000-2-200000002-200000
χ34222222-2-2-2-22222222222-2-200002222-2-2-2-2-2-2-2-200000000000000000022-2-222-2-2000000000000-2-2-2-200000000000000220000000-2200000
χ35222222-2-2-2-222222222-2-22200002222-2-2-2-2-2-2-2-2000000000000000000-2-222-2-222000000000000222200000000000000-2-20000000-2200000
χ36222222-2-2-2-222222222-2-22200002222-2-2-2-2-2-2-2-2000000000000000000-2-222-2-222000000000000-2-2-2-2000000000000002200000002-200000
χ372222-2-22-22-22222222200000000-2-2-2-22-22-22-22-20200-2000002222000000000000-2-2-2-20000000022-2-2000000000000002-2000002-20000000
χ382222-2-22-22-22222222200000000-2-2-2-22-22-22-22-20200-2000002222000000000000-2-2-2-200000000-2-22200000000000000-2200000-220000000
χ392222-2-22-22-22222222200000000-2-2-2-22-22-22-22-20-200200000-2-2-2-200000000000022220000000022-2-2000000000000002-200000-220000000
χ402222-2-22-22-22222222200000000-2-2-2-22-22-22-22-20-200200000-2-2-2-2000000000000222200000000-2-22200000000000000-22000002-20000000
χ412222-2-2-22-222222222200000000-2-2-2-2-22-22-22-2220000-222220000-2-2-2-20000000000000000000022-2-200000000000000-2200002000000-200
χ422222-2-2-22-222222222200000000-2-2-2-2-22-22-22-2220000-222220000-2-2-2-200000000000000000000-2-222000000000000002-20000-2000000200
χ432222-2-2-22-222222222200000000-2-2-2-2-22-22-22-22-200002-2-2-2-2000022220000000000000000000022-2-200000000000000-220000-2000000200
χ442222-2-2-22-222222222200000000-2-2-2-2-22-22-22-22-200002-2-2-2-20000222200000000000000000000-2-222000000000000002-200002000000-200
χ452-2-222-22-2-2222-2-222-2-22i−2i2i−2i0000-2-2222-22-2-22-220000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000002i2i−2i−2i000002-2000
χ462-2-222-22-2-2222-2-222-2-22i−2i2i−2i0000-2-2222-22-2-22-220000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000−2i−2i2i2i00000-22000
χ472-2-222-22-2-2222-2-222-2-2−2i2i−2i2i0000-2-2222-22-2-22-22000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000002i2i−2i−2i00000-22000
χ482-2-222-22-2-2222-2-222-2-2−2i2i−2i2i0000-2-2222-22-2-22-22000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000−2i−2i2i2i000002-2000
χ492-2-222-2-222-222-2-222-2-22i−2i−2i2i22-2-2-2-222-22-222-22-2002i−2i000000000000002i−2i−2i2i2i−2i−2i2i000022-2-222-2-20000002i−2i2i−2i000000000000000000000000
χ502-2-222-2-222-222-2-222-2-22i−2i−2i2i-2-222-2-222-22-222-22-200−2i2i000000000000002i−2i−2i2i2i−2i−2i2i0000-2-222-2-222000000−2i2i−2i2i000000000000000000000000
χ512-2-222-2-222-222-2-222-2-2−2i2i2i−2i22-2-2-2-222-22-222-22-200−2i2i00000000000000−2i2i2i−2i−2i2i2i−2i000022-2-222-2-2000000−2i2i−2i2i000000000000000000000000
χ522-2-222-2-222-222-2-222-2-2−2i2i2i−2i-2-222-2-222-22-222-22-2002i−2i00000000000000−2i2i2i−2i−2i2i2i−2i0000-2-222-2-2220000002i−2i2i−2i000000000000000000000000
χ532-2-222-2-222-2−1+52−1−521−521+52−1+52−1−521−521+522i−2i−2i2i22-2-21−521+52−1+52−1−521−52−1+521+52−1−52−1+521−52−1−521+52002i−2i00ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−1+52−1+521−521−52−1−52−1−521+521+52000000−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000000000000000
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χ1004-4-44-44-4-444−1+5−1−51−51+5−1+5−1−51−51+500000000−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−500000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000
χ1014-4-44-44-4-444−1−5−1+51+51−5−1−5−1+51+51−500000000−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+500000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000
χ1024-4-44-44-4-444−1−5−1+51+51−5−1−5−1+51+51−500000000−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000
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+252−252+25−2+25−2−2500004-4-44000000000000000000000000000000000000000000−1+51−51−5−1+5−1−51+51+5−1−50000000000000000000000000000000000
χ1088-88-8000000−2+25−2−252−252+252−252+25−2+25−2−250000-444-40000000000000000000000000000000000000000001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000000000000000
χ1098-88-8000000−2−25−2+252+252−252+252−25−2−25−2+2500004-4-44000000000000000000000000000000000000000000−1−51+51+5−1−5−1+51−51−5−1+50000000000000000000000000000000000
χ1108-88-8000000−2−25−2+252+252−252+252−25−2−25−2+250000-444-40000000000000000000000000000000000000000001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000000000000000

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