Finite Group Databasebeta

← Group #12253759

Character table — Group #12253759

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
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1
χ6111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11
χ7111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11
χ8111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1
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+522-2−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+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+52-221−521−521+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+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
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+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+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+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
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+521−521−521−521−521−521−521−521−52-221+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+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+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
χ232-2-222-2220000-2-222-2-22−22−222-2-20000000022−2−222−2−222−2−222−2−20000000000002i−2ii2−i2i2−i2002-2-222-2220000-2-222-2-22−22−222-2-20000000022−2−222−2−222−2−222−2−20000000000002i−2ii2−i2i2−i200
χ242-2-222-2220000-2-222-2-22−22−222-2-20000000022−2−222−2−222−2−222−2−2000000000000−2i2i−i2i2−i2i2002-2-222-2220000-2-222-2-22−22−222-2-20000000022−2−222−2−222−2−222−2−2000000000000−2i2i−i2i2−i2i200
χ252-2-222-2220000-2-222-2-2−22−2222-2-200000000−2−222−2−222−2−222−2−2220000000000002i−2i−i2i2−i2i2002-2-222-2220000-2-222-2-2−22−2222-2-200000000−2−222−2−222−2−222−2−2220000000000002i−2i−i2i2−i2i200
χ262-2-222-2220000-2-222-2-2−22−2222-2-200000000−2−222−2−222−2−222−2−222000000000000−2i2ii2−i2i2−i2002-2-222-2220000-2-222-2-2−22−2222-2-200000000−2−222−2−222−2−222−2−222000000000000−2i2ii2−i2i2−i200
χ272-2-22-222222-2-2-2-222-2-20000-2-2222222-2-2-2-20000000000000000000000000000002i−2i−2i2i002-2-22-222222-2-2-2-222-2-20000-2-2222222-2-2-2-20000000000000000000000000000002i−2i−2i2i00
χ282-2-22-222222-2-2-2-222-2-20000-2-2222222-2-2-2-2000000000000000000000000000000−2i2i2i−2i002-2-22-222222-2-2-2-222-2-20000-2-2222222-2-2-2-2000000000000000000000000000000−2i2i2i−2i00
χ292-2-22-2222-2-222-2-222-2-22-2-22-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-222000000000000000000002-2-22-2222-2-222-2-222-2-22-2-22-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-22200000000000000000000
χ302-2-22-2222-2-222-2-222-2-2-222-2-2-222-2-2-2-22222-2-22222-2-2-2-22222-2-2000000000000000000002-2-22-2222-2-222-2-222-2-2-222-2-2-222-2-2-2-22222-2-22222-2-2-2-22222-2-200000000000000000000
χ312-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+522-2-221−521+52−1+52−1−521−521−521+521+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+52−1−52−1−5200−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ2800000000002-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+522-2-221−521+52−1+52−1−521−521−521+521+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+52−1−52−1−5200−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ280000000000
χ322-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+522-2-221−521+52−1+52−1−521−521−521+521+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+52−1−52−1−5200ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ2800000000002-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+522-2-221−521+52−1+52−1−521−521−521+521+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+52−1−52−1−5200ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ280000000000
χ332-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+52-222-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+52−1+52−1+521−521−521+521+52−1−52−1−52−1−52−1−521+521+5200−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ2800000000002-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+52-222-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+52−1+52−1+521−521−521+521+52−1−52−1−52−1−52−1−521+521+5200−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ280000000000
χ342-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+52-222-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+52−1+52−1+521−521−521+521+52−1−52−1−52−1−52−1−521+521+5200ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ2800000000002-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+52-222-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+52−1+52−1+521−521−521+521+52−1−52−1−52−1−52−1−521+521+5200ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ280000000000
χ352-2-22-22−1−52−1+52-2-2221+521−52−1−52−1+521+521−522-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+521−521−521−521−52−1+52−1+5200ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ76ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ7600000000002-2-22-22−1−52−1+52-2-2221+521−52−1−52−1+521+521−522-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+521−521−521−521−52−1+52−1+5200ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ76ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ760000000000
χ362-2-22-22−1−52−1+52-2-2221+521−52−1−52−1+521+521−522-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+521−521−521−521−52−1+52−1+5200−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ76−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ7600000000002-2-22-22−1−52−1+52-2-2221+521−52−1−52−1+521+521−522-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+521−521−521−521−52−1+52−1+5200−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ76−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ760000000000
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χ1394-4-44-44−1+5−1−544-4-41−51+5−1+5−1−51−51+500001−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000-444-44-41−51+5-4-444−1+5−1−51−51+5−1+5−1−50000−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000
χ1404-4-44-44−1−5−1+544-4-41+51−5−1−5−1+51+51−500001+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000-444-44-41+51−5-4-444−1−5−1+51+51−5−1−5−1+50000−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000

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