Finite Group Databasebeta

← Group #12984275

Character table — Group #12984275

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size111122222222222222222222222244444444444444444444444888888888888888888888888888888888888888888888816161616161616162020202020202020404040404040404040404040
order1222224444445510101010101020202020202020202222444101010101010101020202020202020202244448888101010101010101010102020202020202020202040404040404040404040404040404040101020202020202022444444222444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ5111111111111111111111111111111-1-11-1-11111111111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-111-1-1-1-1
χ6111111111111111111111111111111-1-11-1-11111111111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-11111
χ7111111111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-11-1-11-1-11111-1-1
χ10111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-111-111-1-1-1-111
χ11111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-11-11-11111-1-1-1-1-1-111
χ12111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-11-11-11-1-1-1-1111111-1-1
χ13111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-11-11-1-1-1-1-11111-1-111
χ14111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-11-111111-1-1-1-111-1-1
χ15111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-1-111-111-1-111-1-1
χ16111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-111-1-11-1-111-1-111
χ171111-1-111-1-11111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-11-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-111-1-1111-1-1-111-11-11-1
χ181111-1-111-1-11111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-11-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-111-1-111-1-1-1111-1-11-11-11
χ191111-1-111-1-11111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-111-1-111-11-1-11-11-11-11
χ201111-1-111-1-11111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1-111-1-11-111-11-11-11-1
χ211111-1-111-1-11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-111-1-11-11-111-11-1-11-11
χ221111-1-111-1-11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-111-1-111-11-11-1-11-111-11-1
χ231111-1-111-1-11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1-111-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-111-1-11-1-1111-1-111-11-1
χ241111-1-111-1-11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1-111-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-111-1-111-111-1-1-111-1-11-11
χ251111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-111111111-11-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11-11-11-11-11-1-11
χ261111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-111111111-11-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-11-11-11-11-111-1
χ271111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-111111111-1-11-11-1-111-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-11-1-11-111-1
χ281111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-111111111-1-11-11-1-111-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-111-11-1-11
χ291111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-111-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-111-1-111-1
χ301111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-111-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-11-1-111-1-11
χ311111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-11-1-1111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-11-11-11-111-1-11
χ321111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-11-1-1111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111-11-11-11-1-111-1
χ33222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ34222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+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+521−521+521−521+521−521+521−521+5200000000000000000000
χ35222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-22-2-2−1+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+52−1−52−1−52-222-222-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+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+52−1−5200000000000000000000
χ36222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-22-2-2−1+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+52−1−52−1−52-2-2-2-2-2-22222−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ37222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ38222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-22-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−5200000000000000000000
χ39222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-22-2-2−1−52−1−52−1+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+52-222-222-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−521+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+5200000000000000000000
χ40222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-22-2-2−1−52−1−52−1+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+52-2-2-2-2-2-22222−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+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+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−5200000000000000000000
χ412222222222-2-22222222222222222-2-200-2002222-2-2-2-22222-2-2-2-20000000000-2-200000000-2-2000000000000000000000000000000002-22-2-22-22000000000000
χ422222222222-2-22222222222222222-2-200-2002222-2-2-2-22222-2-2-2-20000000000-2-200000000-2-200000000000000000000000000000000-22-222-22-2000000000000
χ43222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52222-2-2-222-2-21−521+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+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+52−1−521−521+521−521+5200000000000000000000
χ44222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-2-222-2-2221−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ45222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2-2222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2222-2-2-2-2221−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+5200000000000000000000
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χ1184-44-4000000-44−1−5−1+51+51+51−51−5−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ2800-4400000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800001+5−1−51−5−1+50000000000001+5−1−51−5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000
χ1194-44-4000000-44−1−5−1+51+51+51−51−5−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28004-40000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800001+5−1−51−5−1+5000000000000−1−51+5−1+51−50000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000
χ1204-44-4000000-44−1−5−1+51+51+51−51−5−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ2800-440000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800001+5−1−51−5−1+50000000000001+5−1−51−5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000000
χ1218-8-880000000088-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-8800000000−2+25−2−252−25−2+252+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-8800000000−2+25−2−252−25−2+252+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-8800000000−2−25−2+252+25−2−252−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8800000000−2−25−2+252+25−2−252−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.