Finite Group Databasebeta

← Group #12254161

Character table — Group #12254161

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222222224444444444444444444444888888888888888888888888888881010101016161616161616161616202020202020202032323232404040404040408080
order1222445588881010101010102416161616202020202020202040404040404040404444810101616404040408080808080808080808080808080808022442420202020202020202488161616161010202044448161644
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ511111111111111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1
χ611111111111111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-11111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111
χ811111111111111111111-1-1-1-11111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1
χ9111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-11-1
χ10111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-11
χ11111111111111111111-1-1111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-11
χ12111111111111111111-1-1111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1
χ13111111111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-111-1-11111-1-111-1-1111-1-11-1
χ15111111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1111-1
χ16111111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1111111-1-1111111-1-111-1-11-1-1-11
χ1722222222-2-2-2-222222222000022222222-2-2-2-2-2-2-2-20000-22200-2-2-2-200000000000000002222000000000022-2-2000000000000-20000
χ1822222222-2-2-2-222222222000022222222-2-2-2-2-2-2-2-20000-22200-2-2-2-20000000000000000-2-2-2-20000000000-2-22200000000000020000
χ1922222222-2-2-2-2222222-2-2000022-2-2-2-222-2-2-2-2-2-2-2-200002-2-2002222000000000000000022220000000000-2-2-2-200000000000020000
χ2022222222-2-2-2-2222222-2-2000022-2-2-2-222-2-2-2-2-2-2-2-200002-2-20022220000000000000000-2-2-2-200000000002222000000000000-20000
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+52−1−52−1−52−1−52−1−5222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000−1+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+52−1−52−1−52−1−52−1−52-2-2-2-22−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52000000001−521+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+52−1−52−1−52−1−52−1−5222222−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+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+52−1−52−1−52−1−52−1−52-2-2-2-22−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000221−521−521+521+521−521−521+521+5200000000−1+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+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-21−521+52-2-21−521−521+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+5200002-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+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+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-21−521+52-2-21−521−521+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+520000-221−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+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+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-21−521+52221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-22−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+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+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-21−521+52221−521−521+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+52−1−52−1−5200000000−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−52000000001+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000221+521+521−521−521+521+521−521−5200000000−1−52−1+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+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2-21+521−52-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+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+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222-21+521−52-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+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+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2-21+521−52221+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+520000-22−1−52−1−52−1+52−1+521+521+521−521−52000000001+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+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222-21+521−52221+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+5200000000−1−52−1+521+521−52000000000
χ372222-2-22200002222222-222−2−2-2-2-2-2-2-2-2-20000000000000222−2000022−2−222−2−222−2−222−2−222-2-20000000000-220022−2−20000000002−200
χ382222-2-22200002222222-222−2−2-2-2-2-2-2-2-2-20000000000000222−2000022−2−222−2−222−2−222−2−2-2-22200000000002-200−2−222000000000−2200
χ392222-2-22200002222222-2−2−222-2-2-2-2-2-2-2-2000000000000022−220000−2−222−2−222−2−222−2−22222-2-20000000000-2200−2−222000000000−2200
χ402222-2-22200002222222-2−2−222-2-2-2-2-2-2-2-2000000000000022−220000−2−222−2−222−2−222−2−222-2-22200000000002-20022−2−20000000002−200
χ412222-2-2220000222222-2222−2−2-2-22222-2-20000000000000-2-2−22000022−2−222−2−2−2−222−2−22222-2-200000000002-20022−2−2000000000−2200
χ422222-2-2220000222222-2222−2−2-2-22222-2-20000000000000-2-2−22000022−2−222−2−2−2−222−2−222-2-2220000000000-2200−2−2220000000002−200
χ432222-2-2220000222222-22−2−222-2-22222-2-20000000000000-2-22−20000−2−222−2−22222−2−222−2−222-2-200000000002-200−2−2220000000002−200
χ442222-2-2220000222222-22−2−222-2-22222-2-20000000000000-2-22−20000−2−222−2−22222−2−222−2−2-2-2220000000000-220022−2−2000000000−2200
χ452-22-2-222222-2-222-2-2-2-2000000-2-200002222-2-222-2-2002i−2i00000000000000000000000002-22-20000002i−2i2i−2i002-200000000002i−2i00000
χ462-22-2-222222-2-222-2-2-2-2000000-2-200002222-2-222-2-2002i−2i0000000000000000000000000-22-220000002i−2i2i−2i00-220000000000−2i2i00000
χ472-22-2-222222-2-222-2-2-2-2000000-2-200002222-2-222-2-200−2i2i00000000000000000000000002-22-2000000−2i2i−2i2i002-20000000000−2i2i00000
χ482-22-2-222222-2-222-2-2-2-2000000-2-200002222-2-222-2-200−2i2i0000000000000000000000000-22-22000000−2i2i−2i2i00-2200000000002i−2i00000
χ492-22-2-2222-2-22222-2-2-2-2000000-2-2000022-2-222-2-2222i−2i0000000000000000000000000002-22-2002i−2i2i−2i000000-22000000002i−2i0000000
χ502-22-2-2222-2-22222-2-2-2-2000000-2-2000022-2-222-2-2222i−2i000000000000000000000000000-22-22002i−2i2i−2i0000002-200000000−2i2i0000000
χ512-22-2-2222-2-22222-2-2-2-2000000-2-2000022-2-222-2-222−2i2i0000000000000000000000000002-22-200−2i2i−2i2i000000-2200000000−2i2i0000000
χ522-22-2-2222-2-22222-2-2-2-2000000-2-2000022-2-222-2-222−2i2i000000000000000000000000000-22-2200−2i2i−2i2i0000002-2000000002i−2i0000000
χ53444444−1+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+5−1−5−1−5−1+5−1−51−51−51−51−51+51+51+51+50000-4−1+5−1−5001−51−51+51+5000000000000000000000000000000000000000000000000000
χ54444444−1+5−1−5-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5-4-40000−1+5−1−51−51−51+51+5−1+5−1−51−51−51−51−51+51+51+51+5000041−51+500−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000000
χ55444444−1−5−1+5-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5440000−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51+51+51−51−51−51−50000-4−1−5−1+5001+51+51−51−5000000000000000000000000000000000000000000000000000
χ56444444−1−5−1+5-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5-4-40000−1−5−1+51+51+51−51−5−1−5−1+51+51+51+51+51−51−51−51−5000041+51−500−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000000
χ574444-4-4−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−54-42222−22−221−51+51−51−51+51+51−51+50000000000000−1+5−1−522−220000−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+ζ7800000000000000000000000000000000000
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χ8344-4-400−1−5−1+5−2222−22221+51−5−1−5−1+51+51−5002ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79002ζ12−2ζ28−2ζ12+2ζ282ζ44−2ζ76−2ζ44+2ζ7600−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74000000000ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ7900000000000000000000000000000000000
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χ1038-8-8800−2−25−2+2542−42−42422+252−252+252−25−2−25−2+25000000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ740000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.