Finite Group Databasebeta

← Group #12134934

Character table — Group #12134934

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222444444444444444444448888888888888888888888888888888888888810101010161616161616161616161616161620202020202040404040404040408080
order1222222222551010101010102222224410101010101010101010101022444410101010101010101010101010101010101010102020202020202020202020204444442020202020202020202020204444442244444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-1
χ411111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111
χ51111111111111111111111-1-1-1-11111111111111-11-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111111111111-11-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111-11
χ71111111111111111111111-1-1-1-1111111111111-11-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11111111111-11-1-11-1-1-1-11
χ81111111111111111111111-1-1-1-1111111111111-11-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-11111-1
χ9111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ10111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ11111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11-1-11-1-111
χ12111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111111-111-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-1-1111111-1-1-1-11-1-11-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11111-111-111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-111-1-1-1-1-11-1-11-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111111111-1-1-1-1-1-111111-111-11-1-1-11
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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+52−1−522222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-22-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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
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+52−1−52−1−52−1−52-22-22-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+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
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+52−1−52−1−52−1−522222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+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+52−1−52−1−52−1−52-2-2-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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
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+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+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+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+522-22-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
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+52-22-22-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+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
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+522222-2-21+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521+521−521−521+521+521−521−521+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+52-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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
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+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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
χ3322222-2-2-22-222222222000000002-2-22-2-22-2-22-2-2020-2000000000000000000222200000000-2-2-2-222-2-2000000000000002-200000200-200000
χ3422222-2-2-22-222222222000000002-2-22-2-22-2-22-2-2020-2000000000000000000222200000000-2-2-2-2-2-22200000000000000-2200000-200200000
χ3522222-2-2-22-222222222000000002-2-22-2-22-2-22-2-20-202000000000000000000-2-2-2-200000000222222-2-2000000000000002-200000-200200000
χ3622222-2-2-22-222222222000000002-2-22-2-22-2-22-2-20-202000000000000000000-2-2-2-2000000002222-2-22200000000000000-2200000200-200000
χ372222-22-2-2-222222222200000000-22-2-22-2-22-2-22-220-2000000000000000222200000000-2-2-2-2000022-2-200000000000000-220000200-2000000
χ382222-22-2-2-222222222200000000-22-2-22-2-22-2-22-220-2000000000000000222200000000-2-2-2-20000-2-222000000000000002-20000-2002000000
χ392222-22-2-2-222222222200000000-22-2-22-2-22-2-22-2-202000000000000000-2-2-2-2000000002222000022-2-200000000000000-220000-2002000000
χ402222-22-2-2-222222222200000000-22-2-22-2-22-2-22-2-202000000000000000-2-2-2-20000000022220000-2-222000000000000002-20000200-2000000
χ412222-2-222-2-222222222000022-2-2-2-22-2-22-2-22-2-2200000000000000222200000000-2-2-2-200000000222200000000000000-2-2000000-20020000
χ422222-2-222-2-222222222000022-2-2-2-22-2-22-2-22-2-2200000000000000222200000000-2-2-2-200000000-2-2-2-20000000000000022000000200-20000
χ432222-2-222-2-2222222220000-2-222-2-22-2-22-2-22-2-2200000000000000-2-2-2-200000000222200000000222200000000000000-2-2000000200-20000
χ442222-2-222-2-2222222220000-2-222-2-22-2-22-2-22-2-2200000000000000-2-2-2-200000000222200000000-2-2-2-20000000000000022000000-20020000
χ452-22-2222-2-2-222-2-2-2-22200002-22-222-222-2-2-22-2-22000000000000002-22-2000000002-22-200000000000000000000000000002i2i−2i−2i0000002i−2i00
χ462-22-2222-2-2-222-2-2-2-22200002-22-222-222-2-2-22-2-22000000000000002-22-2000000002-22-20000000000000000000000000000−2i−2i2i2i000000−2i2i00
χ472-22-2222-2-2-222-2-2-2-2220000-22-2222-222-2-2-22-2-2200000000000000-22-2200000000-22-2200000000000000000000000000002i2i−2i−2i000000−2i2i00
χ482-22-2222-2-2-222-2-2-2-2220000-22-2222-222-2-2-22-2-2200000000000000-22-2200000000-22-220000000000000000000000000000−2i−2i2i2i0000002i−2i00
χ492-22-2-2-22-22222-2-2-2-22222-2-22-2-22-2-2-2-2-2-222222200002-222-2-222-2-22-22-200000000-22-22000000000000002-22-2000000000000000000000000
χ502-22-2-2-22-22222-2-2-2-22222-2-2-222-2-2-2-2-2-2-22222220000-2222-2-222-2-2-22-22000000002-22-200000000000000-22-22000000000000000000000000
χ512-22-2-2-22-22222-2-2-2-222-2-2222-2-22-2-2-2-2-2-22222220000-22-2-222-2-2222-22-200000000-22-2200000000000000-22-22000000000000000000000000
χ522-22-2-2-22-22222-2-2-2-222-2-222-222-2-2-2-2-2-2-222222200002-2-2-222-2-222-22-22000000002-22-2000000000000002-22-2000000000000000000000000
χ532-22-2-2-22-222−1+52−1−521−521−521+521+52−1+52−1−5222-2-22-2-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−5200002-2−1+52−1+521−521−52−1−52−1−521+521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ542-22-2-2-22-222−1+52−1−521−521−521+521+52−1+52−1−5222-2-22-2-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−5200002-2−1+52−1+521−521−52−1−52−1−521+521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.