Finite Group Databasebeta

← Group #12984015

Character table — Group #12984015

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131
size1111222222222222222244444444444444444444444444444444444448888888888888888888888888888888881010101010101010161616161616161616161616202020202020202020202020202040404040404040
order1222222244445510101010101044444888888881010101010101010202020202020202040404040404040402444444202020202020202020202020202040404040404040404040404022222244101020202020202020202020444444888888882224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-111
χ41111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111111-11-1-1
χ511111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1
χ611111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-11-111
χ9111111-1-1-1-11111111111-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-11-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-111-111-1-11111-1-111-1-1-11-1
χ10111111-1-1-1-11111111111-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-11-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1-11-1-111-1-1-1-111-1-1111-11
χ11111111-1-1-1-11111111111-11-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-111-11111-1-1-1-111-1-11-111-1
χ12111111-1-1-1-11111111111-11-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11-1-11-1-1-1-11111-1-111-11-1-11
χ13111111-1-1-1-11111111111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-1-1-1-11111-1-1-1-1111-11
χ14111111-1-1-1-11111111111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-111111-1-1-1-11111-1-1-11-1
χ15111111-1-1-1-11111111111-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-111-1-1-111-1-1-1-11111-11-1-11
χ16111111-1-1-1-11111111111-11-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1111-1-1111-1-11111-1-1-1-11-111-1
χ171111-1-111-1-11111111111-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-11-11-11-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111-11-1111-1-111-1-1111-11-1-1-11
χ181111-1-111-1-11111111111-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-11-11-11-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1111-11-1-1-111-1-111-1-1-11-1111-1
χ191111-1-111-1-11111111111-1-1111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-11-111111-1-111-1-1-11-1-11-11
χ201111-1-111-1-11111111111-1-1111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-1-1-1-1-111-1-1111-111-11-1
χ211111-1-111-1-11111111111-1-11-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-111-1-1-11-11-1-1-1-111-1-111-11-1111-1
χ221111-1-111-1-11111111111-1-11-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-11-11-11111-1-111-1-11-11-1-1-11
χ231111-1-111-1-11111111111-1-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-11-11-1-111-1-111-1-11-111-11-1
χ241111-1-111-1-11111111111-1-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-111-1-111-1-111-11-1-11-11
χ251111-1-1-1-11111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111-1-1
χ261111-1-1-1-11111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ271111-1-1-1-11111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-11111-1111-1-1-1
χ281111-1-1-1-11111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1111
χ291111-1-1-1-11111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-111-1-111
χ301111-1-1-1-11111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-111111-1-111-1-1
χ311111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1111
χ321111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1111-1-1-1
χ33222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000
χ34222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521+521+521+521+52-22-2-2-222−1+52−1−521−521−521+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+521−521−521+521+52000000001−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000
χ35222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+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+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000
χ36222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2-2-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521+521+521+521+522-2222-2-2−1+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+5200000000−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000
χ37222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000
χ38222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−52-22-2-2-222−1−52−1+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+521−521−521+521+521−521−52000000001+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000
χ39222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000
χ40222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−522-2222-2-2−1−52−1+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+521−521−5200000000−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000
χ412222222222-2-222222222-2-2-20000000000222222222222-2-2-2-2000000000000000-2-20000-2-2-2-2000000000000000022222222000000000000-2-2-2-200000000000000000
χ422222222222-2-222222222-2-2-20000000000222222222222-2-2-2-2000000000000000-2-20000-2-2-2-20000000000000000-2-2-2-2-2-2-2-2000000000000222200000000000000000
χ43222222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-2222222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-22-21−521+52−1+52−1+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+52−1−52−1−521−521−521+521+52000000001−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000000
χ44222222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-222-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2-2-222-21−521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000000
χ45222222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-22222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-22-221−521+521−521−521+521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000000
χ46222222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2222-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000000
χ47222222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-2222222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-222-22-21+521−52−1−52−1−52−1+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+521−521−52000000001+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000000
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χ12788-8-800000000−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-800000000−2−25−2+25−2−25−2+252+252−252+252−2500000000000000000000000000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000000000000000
χ12988-8-800000000−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000000000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-880000008-8−2+25−2−252−252+252−252+25−2+25−2−2500000000000000000000000002−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-880000008-8−2−25−2+252+252−252+252−25−2−25−2+2500000000000000000000000002+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000

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