Finite Group Databasebeta

← Group #12969239

Character table — Group #12969239

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111122222222222222444444444444444488888888888888888888888888881010101020202020202040404040111122222222222222444444444444444488888888888888888888888888881010101020202020202040404040
order1222444444551010101010108888202020202020202020202020244410101010202020202020202020202020404040404040404044442488882444222244444410101010101010108888202020202020202020202020244410101010202020202020202020202020404040404040404044442488882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-1111111111111111111-1-1-1-11111111111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-11111111111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111111111111111-1-1-1-11111111111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-1111111111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11111111111111111111-1-1-1-1111111111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1111111111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111111111111111-1-1-1-1111111111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1
χ91111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1
χ101111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-111
χ121111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ131111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-11
χ141111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-1
χ151111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1
χ161111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11
χ172222222222−1+52−1−52−1+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+52−1−52−1−522222−1+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+52−1−52−1−52000000000000002222222222−1+52−1−52−1+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+52−1−52−1−522222−1+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+52−1−52−1−5200000000000000
χ182222222222−1+52−1−52−1+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+52−1−52−1−52-2-2-2-21−521−521+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+52−1−52−1−52000000000000002222222222−1+52−1−52−1+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+52−1−52−1−52-2-2-2-21−521−521+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+52−1−52−1−5200000000000000
χ192222222222−1+52−1−52−1+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+52−1−52−1−522-22-2−1+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+521−521−521+521+52000000000000002222222222−1+52−1−52−1+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+52−1−52−1−522-22-2−1+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+521−521−521+521+5200000000000000
χ202222222222−1+52−1−52−1+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+52−1−52−1−52-22-221−521−521+521+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+52000000000000002222222222−1+52−1−52−1+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+52−1−52−1−52-22-221−521−521+521+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+5200000000000000
χ212222222222−1−52−1+52−1−52−1+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+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+52000000000000002222222222−1−52−1+52−1−52−1+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+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+5200000000000000
χ222222222222−1−52−1+52−1−52−1+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+52-2-2-2-21+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+52000000000000002222222222−1−52−1+52−1−52−1+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+52-2-2-2-21+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+5200000000000000
χ232222222222−1−52−1+52−1−52−1+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+522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52000000000000002222222222−1−52−1+52−1−52−1+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+522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ242222222222−1−52−1+52−1−52−1+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+52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000002222222222−1−52−1+52−1−52−1+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+52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ25222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-2000000000000000000000000000022-2-22-200000000222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-2000000000000000000000000000022-2-22-200000000
χ26222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-20000000000000000000000000000-2-222-2200000000222222-2-2-2-22222222200002222-2-2-2-2-2-2-2-20000000000000000000000000000-2-222-2200000000
χ272222-2-222-2-2222222220000-2-2-2-22222-2-2-2-2000000000000000000000000000022-2-2-22000000002222-2-222-2-2222222220000-2-2-2-22222-2-2-2-2000000000000000000000000000022-2-2-2200000000
χ282222-2-222-2-2222222220000-2-2-2-22222-2-2-2-20000000000000000000000000000-2-2222-2000000002222-2-222-2-2222222220000-2-2-2-22222-2-2-2-20000000000000000000000000000-2-2222-200000000
χ292222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2−1+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+52000000000000002222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2−1+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+5200000000000000
χ302222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2221−521−521+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+52−1−52−1−521−521−521+521+52000000000000002222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2221−521−521+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+52−1−52−1−521−521−521+521+5200000000000000
χ312222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+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+52−1+52−1+52−1−52−1−52000000000000002222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+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+52−1+52−1+52−1−52−1−5200000000000000
χ322222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+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+52−1+52−1+52−1−52−1−52000000000000002222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+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+52−1+52−1+52−1−52−1−5200000000000000
χ332222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+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+521−521−52000000000000002222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+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+521−521−5200000000000000
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χ352222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000002222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
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χ1434-44-44i−4i4i−4i4-4−1+5−1−51−51+5−1+5−1−51−51+50000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−1+51−5−1−51+5000000000000000000000000000000000000000000-44-44−4i4i−4i4i-441−51+5−1+5−1−51−51+5−1+5−1−500002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ71−5−1+51+5−1−5000000000000000000000000000000000000000000
χ1444-44-44i−4i4i−4i4-4−1−5−1+51+51−5−1−5−1+51+51−50000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−1−51+5−1+51−5000000000000000000000000000000000000000000-44-44−4i4i−4i4i-441+51−5−1−5−1+51+51−5−1−5−1+500002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ191+5−1−51−5−1+5000000000000000000000000000000000000000000
χ1454-44-4−4i4i−4i4i4-4−1+5−1−51−51+5−1+5−1−51−51+500002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−1+51−5−1−51+5000000000000000000000000000000000000000000-44-444i−4i4i−4i-441−51+5−1+5−1−51−51+5−1+5−1−50000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ71−5−1+51+5−1−5000000000000000000000000000000000000000000
χ1464-44-4−4i4i−4i4i4-4−1−5−1+51+51−5−1−5−1+51+51−500002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−1−51+5−1+51−5000000000000000000000000000000000000000000-44-444i−4i4i−4i-441+51−5−1−5−1+51+51−5−1−5−1+50000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ191+5−1−51−5−1+5000000000000000000000000000000000000000000
χ1474-4-4400000044-4-4-4-44400000000000000000000000000000000000000000000004-40000000000-444-4000000-4-44444-4-40000000000000000000000000000000000000000000000-440000000000
χ1484-4-4400000044-4-4-4-4440000000000000000000000000000000000000000000000-440000000000-444-4000000-4-44444-4-400000000000000000000000000000000000000000000004-40000000000
χ14988-8-8000000−2+25−2−25−2+25−2−252−252+252−252+250000000000000000000000000000000000000000000000000000000000-8-8880000002−252+252−252+25−2+25−2−25−2+25−2−250000000000000000000000000000000000000000000000000000000000
χ15088-8-8000000−2−25−2+25−2−25−2+252+252−252+252−250000000000000000000000000000000000000000000000000000000000-8-8880000002+252−252+252−25−2−25−2+25−2−25−2+250000000000000000000000000000000000000000000000000000000000
χ1518-8-88000000−2+25−2−252−252+252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000-888-80000002−252+25−2+25−2−25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000
χ1528-8-88000000−2−25−2+252+252−252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000-888-80000002+252−25−2−25−2+25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.