Finite Group Databasebeta

← Group #12256270

Character table — Group #12256270

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222224444444444444444448888888888888888888888888881010161616162020202020202020203232323232323232404040404040408080
order1222445588881010101010104416161616202020204040404040404040816162020202040404040808080808080808080808080808080802224442448816161616101020202020202022448161624
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ511111111111111111111-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11111-1-1-1-111-1-11-1-1-11
χ611111111111111111111-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-11-1
χ711111111111111111111-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1111-1
χ811111111111111111111-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-1-111-11
χ9111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-11-1-11-111111111-1-111-1-11111-1-1-1-1-1
χ10111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-11-11-1111111-1-111-1-111-1-1-1-1-1-1-111
χ11111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-111-1-111-1-1-1-1-1-111111
χ12111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-111-1-1111111111-1-1
χ13111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-11-111-1-1-1-111-1-1-1-11111-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-11-111-1-1-1-1-1-11111-1-1-1-111-111-11
χ15111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-111-11-1-1111111-1-1-1-111-1-1111-1-1-11
χ16111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-11-11-1-11111-1-11111-1-111-1-11-1-11-1
χ1722222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-2-2002222-2-2-2-20000000000000000220000222-2-20000000000000000-20000
χ1822222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-2-2002222-2-2-2-20000000000000000-2-20000-2-2-222000000000000000020000
χ1922222222-2-2-2-2222222-2-200002222-2-2-2-2-2-2-2-2200-2-2-2-222220000000000000000220000-22-2-2-2000000000000000020000
χ2022222222-2-2-2-2222222-2-200002222-2-2-2-2-2-2-2-2200-2-2-2-222220000000000000000-2-200002-22220000000000000000-20000
χ21222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002222000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ22222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-2-20000000001−521+521−521+521−521+521−521+52000000000
χ23222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2−1+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+520022-2-2000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000
χ24222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2−1+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+5200-2-2220000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000
χ25222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521+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+52002-22-2000000000−1+52−1−521−521+52−1+52−1−521−521+52000000000
χ26222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521+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+5200-22-220000000001−521+52−1+52−1−521−521+52−1+52−1−52000000000
χ27222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2221−521+521−521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002-2-22000000000−1+52−1−521−521+521−521+52−1+52−1−52000000000
χ28222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2221−521+521−521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-222-20000000001−521+52−1+52−1−52−1+52−1−521−521+52000000000
χ29222222−1−52−1+522222−1−52−1+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+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002222000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ30222222−1−52−1+522222−1−52−1+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+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2-2-20000000001+521−521+521−521+521−521+521−52000000000
χ31222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520022-2-2000000000−1−52−1+52−1−52−1+521+521−521+521−52000000000
χ32222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200-2-2220000000001+521−521+521−52−1−52−1+52−1−52−1+52000000000
χ33222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+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+521−521−521−521−52002-22-2000000000−1−52−1+521+521−52−1−52−1+521+521−52000000000
χ34222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+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+521−521−521−521−5200-22-220000000001+521−52−1−52−1+521+521−52−1−52−1+52000000000
χ35222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2221+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+52002-2-22000000000−1−52−1+521+521−521+521−52−1−52−1+52000000000
χ36222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2221+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+5200-222-20000000001+521−52−1−52−1+52−1−52−1+521+521−52000000000
χ372222-2-22200002222222-222−2−2-2-2-2-20000000002−222-2-2000022−2−222−2−222−2−222−2−2220000-2-220022−2−200000000000002−200
χ382222-2-22200002222222-222−2−2-2-2-2-20000000002−222-2-2000022−2−222−2−222−2−222−2−2-2-2000022-200−2−2220000000000000−2200
χ392222-2-22200002222222-2−2−222-2-2-2-2000000000−2222-2-20000−2−222−2−222−2−222−2−222220000-2-2200−2−2220000000000000−2200
χ402222-2-22200002222222-2−2−222-2-2-2-2000000000−2222-2-20000−2−222−2−222−2−222−2−222-2-2000022-20022−2−200000000000002−200
χ412222-2-2220000222222-2222−2−2-2-2-2-2000000000−22-2-222000022−2−222−2−2−2−222−2−2222200002-2-20022−2−20000000000000−2200
χ422222-2-2220000222222-2222−2−2-2-2-2-2000000000−22-2-222000022−2−222−2−2−2−222−2−222-2-20000-22200−2−22200000000000002−200
χ432222-2-2220000222222-22−2−222-2-2-2-20000000002−2-2-2220000−2−222−2−22222−2−222−2−22200002-2-200−2−22200000000000002−200
χ442222-2-2220000222222-22−2−222-2-2-2-20000000002−2-2-2220000−2−222−2−22222−2−222−2−2-2-20000-2220022−2−20000000000000−2200
χ4522-2-2-222222-2-2-2-222-2-2002i−2i2i−2i2-22-222-2-222-2-2000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000002-22i−2i00000
χ4622-2-2-222222-2-2-2-222-2-2002i−2i2i−2i2-22-222-2-222-2-2000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000-22−2i2i00000
χ4722-2-2-222222-2-2-2-222-2-200−2i2i−2i2i2-22-222-2-222-2-200000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000002-2−2i2i00000
χ4822-2-2-222222-2-2-2-222-2-200−2i2i−2i2i2-22-222-2-222-2-200000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000-222i−2i00000
χ49444444−1+5−1−5-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5440000−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5-400−1+5−1−5−1+5−1−51−51−51+51+5000000000000000000000000000000000000000000000000
χ50444444−1+5−1−5-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5-4-40000−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+54001−51+51−51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000
χ51444444−1−5−1+5-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5440000−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5-400−1−5−1+5−1−5−1+51+51+51−51−5000000000000000000000000000000000000000000000000
χ52444444−1−5−1+5-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5-4-40000−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−54001+51−51+51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000
χ534444-4-4−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−54-42222−22−221−51−51+51+500000000022−22−1+5−1−51−51+50000−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ7800000000000000000000000000000000
χ544444-4-4−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−54-4−22−2222221−51−51+51+5000000000−2222−1+5−1−51−51+50000ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ7800000000000000000000000000000000
χ554444-4-4−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−5-442222−22−221−51−51+51+5000000000−22221−51+5−1+5−1−50000−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ7800000000000000000000000000000000
χ564444-4-4−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−5-44−22−2222221−51−51+51+500000000022−221−51+5−1+5−1−50000ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ7800000000000000000000000000000000
χ574444-4-4−1−5−1+50000−1−5−1+5−1−5−1+5−1−5−1+54-42222−22−221+51+51−51−500000000022−22−1−5−1+51+51−50000ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ7400000000000000000000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.