Finite Group Databasebeta

← Group #12253761

Character table — Group #12253761

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111122222222222222444444444444444444444444444444441616161616161616161620202020202020208080111122222222222222444444444444444444444444444444441616161616161616161620202020202020208080
order12224455888810101010101016161616202020204040404040404040808080808080808080808080808080804420202020202020202488161616162422224410108888101010101010161616162020202040404040404040408080808080808080808080808080808044202020202020202024881616161624
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-11
χ6111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111111-1
χ7111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11-1
χ8111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-11
χ922222222-2-2-2-222222200002222-2-2-2-2-2-2-2-20000000000000000000000000022-2-200000022222222-2-2-2-222222200002222-2-2-2-2-2-2-2-20000000000000000000000000022-2-2000000
χ1022222222-2-2-2-222222200002222-2-2-2-2-2-2-2-200000000000000000000000000-2-22200000022222222-2-2-2-222222200002222-2-2-2-2-2-2-2-200000000000000000000000000-2-222000000
χ11222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ12222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000
χ13222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-21−521−521+521+52−1+52−1+52−1−52−1−520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-21−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ14222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-22−1+52−1+52−1−52−1−521−521−521+521+520000000000222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-22−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ15222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ16222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000
χ17222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ18222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-22−1−52−1−52−1+52−1+521+521+521−521−520000000000222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-22−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ192222-2-222000022222222−2−2-2-2-2-2000000002222−2−2−2−22222−2−2−2−200000000002-20022−2−2002222-2-222000022222222−2−2-2-2-2-2000000002222−2−2−2−22222−2−2−2−200000000002-20022−2−200
χ202222-2-222000022222222−2−2-2-2-2-2000000002222−2−2−2−22222−2−2−2−20000000000-2200−2−222002222-2-222000022222222−2−2-2-2-2-2000000002222−2−2−2−22222−2−2−2−20000000000-2200−2−22200
χ212222-2-2220000222222−2−222-2-2-2-200000000−2−2−2−22222−2−2−2−2222200000000002-200−2−222002222-2-2220000222222−2−222-2-2-2-200000000−2−2−2−22222−2−2−2−2222200000000002-200−2−22200
χ222222-2-2220000222222−2−222-2-2-2-200000000−2−2−2−22222−2−2−2−222220000000000-220022−2−2002222-2-2220000222222−2−222-2-2-2-200000000−2−2−2−22222−2−2−2−222220000000000-220022−2−200
χ232-22-22-2220000-2-2-2-222i2−i2i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000002i−2i2−22−2002-22-22-2220000-2-2-2-222i2−i2i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000002i−2i2−22−200
χ242-22-22-2220000-2-2-2-222i2−i2i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000−2i2i−22−22002-22-22-2220000-2-2-2-222i2−i2i2−i222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000−2i2i−22−2200
χ252-22-22-2220000-2-2-2-222−i2i2−i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000002i−2i−22−22002-22-22-2220000-2-2-2-222−i2i2−i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000002i−2i−22−2200
χ262-22-22-2220000-2-2-2-222−i2i2−i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000−2i2i2−22−2002-22-22-2220000-2-2-2-222−i2i2−i2i222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000−2i2i2−22−200
χ272-22-2-222222-2-2-2-2-2-2222i−2i−2i2i-2-2222222-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000002-22-2-222222-2-2-2-2-2-2222i−2i−2i2i-2-2222222-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000
χ282-22-2-222222-2-2-2-2-2-222−2i2i2i−2i-2-2222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000002-22-2-222222-2-2-2-2-2-222−2i2i2i−2i-2-2222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ292-22-2-2222-2-222-2-2-2-2220000-2-222-2-2-2-222220000000000000000000000000000002-2-22002-22-2-2222-2-222-2-2-2-2220000-2-222-2-2-2-222220000000000000000000000000000002-2-2200
χ302-22-2-2222-2-222-2-2-2-2220000-2-222-2-2-2-22222000000000000000000000000000000-222-2002-22-2-2222-2-222-2-2-2-2220000-2-222-2-2-2-22222000000000000000000000000000000-222-200
χ312-22-2-22−1+52−1−5222-2-21−521+521−521+52−1+52−1−522i−2i−2i2i1−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ44−ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28−ζ12−ζ28−ζ12−ζ2800−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ7200000000002-22-2-22−1+52−1−5222-2-21−521+521−521+52−1+52−1−522i−2i−2i2i1−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ44−ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28−ζ12−ζ28−ζ12−ζ2800−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000
χ322-22-2-22−1+52−1−5222-2-21−521+521−521+52−1+52−1−522i−2i−2i2i1−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ44−ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28−ζ12−ζ28−ζ12−ζ2800ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ7200000000002-22-2-22−1+52−1−5222-2-21−521+521−521+52−1+52−1−522i−2i−2i2i1−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ44−ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28−ζ12−ζ28−ζ12−ζ2800ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000
χ332-22-2-22−1+52−1−5222-2-21−521+521−521+52−1+52−1−52−2i2i2i−2i1−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28ζ12+ζ28ζ12+ζ2800−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ7200000000002-22-2-22−1+52−1−5222-2-21−521+521−521+52−1+52−1−52−2i2i2i−2i1−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ44+ζ76ζ44+ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28ζ12+ζ28ζ12+ζ2800−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000
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χ1404-4-4400−1−5−1+5−222222−221+51−5−1−5−1+51+51−500000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ7900000000000000000000-444-4001+51−522−22−2222−1−5−1+51+51−5−1−5−1+500000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ7900000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.