Finite Group Databasebeta

← Group #12984046

Character table — Group #12984046

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131
size1111222222222222222244444444444444444444444444444444444448888888888888888888888888888888881010101010101010161616161616161616161616202020202020202020202020202040404040404040
order1222444444445510101010101022224888888882020202020202020202020202020202040404040404040402244444101010101010101020202020202040404040404040404040404022444444101010102020202020202020222244888888884444444
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
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111111-111-1-11
χ51111111111111111111111-1-1111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111
χ71111111111111111111111-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1-11
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111111111-11-1-111-1
χ9111111-1-1-1-11111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-1-1
χ10111111-1-1-1-11111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1111
χ11111111-1-1-1-11111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11
χ12111111-1-1-1-11111111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1
χ13111111-1-1-1-11111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-1-1111
χ14111111-1-1-1-11111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1111-1-1-1
χ15111111-1-1-1-11111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1
χ16111111-1-1-1-11111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11
χ171111-1-111-1-111111111111-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-11-1111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-11-111-11-1-111-1-1111-11-11-1-1
χ181111-1-111-1-111111111111-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-11-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-11-1-11-111-1-111-1-1-11-11-111
χ191111-1-111-1-111111111111-111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-11-111-1111-1-111-1-1-1-1-111-11
χ201111-1-111-1-111111111111-111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-1-11-1-11-1-1-111-1-111111-1-11-1
χ211111-1-111-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1111-1-1-1-11-1-111-1-111-11-11-111
χ221111-1-111-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-111-11111-111-1-111-1-11-11-11-1-1
χ231111-1-111-1-111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1111-1-1-1-1111-1-111-1-1111-1-11-1
χ241111-1-111-1-111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-11111-1-1-111-1-111-1-1-111-11
χ251111-1-1-1-1111111111111-1111-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1111-111111-1-1-1-1-1-11-1-111
χ261111-1-1-1-1111111111111-1111-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111-1-1-11-1-1-1-1-1111111-111-1-1
χ271111-1-1-1-1111111111111-1111-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111-1111-11-1-1-1-111111-1-11-11-1
χ281111-1-1-1-1111111111111-1111-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1-11-11111-1-1-1-1-111-11-11
χ291111-1-1-1-1111111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11-1-1-111111-1-1-1-111-111-1-1
χ301111-1-1-1-1111111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11-1111-1-1-1-1-11111-1-11-1-111
χ311111-1-1-1-1111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-11-1-1-11-1-1-1-11111-111-11-11
χ321111-1-1-1-1111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1111111-1-11-1111-11111-1-1-1-11-1-11-11-1
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+52-2-2-2222-2−1+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+52000000001−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52000000000000000000000
χ35222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1+52−1−521−521−521+521+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+52−1−5222-2-22-2-2-2-2-2-2-2-2−1+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+52222-2-2-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−521−521+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+521−521−521−521−52-2-2-2222-2−1−52−1+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+521−521−52000000001+521−521+521−52−1−52−1+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+5222-2-2222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+52−1−52−1+521+521+521−521−52−1−52−1+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+5222-2-22-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52222-2-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52000000000000000000000
χ412222222222-2-222222222-2-200-200000000222222222222-2-2-2-2000000000000000-2-2-2-20000-2-2000000000000000022222222000000000000-2-200-2-2000000000000000
χ422222222222-2-222222222-2-200-200000000222222222222-2-2-2-2000000000000000-2-2-2-20000-2-20000000000000000-2-2-2-2-2-2-2-2000000000000220022000000000000000
χ43222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-22-2-2-21−521+521−521+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52000000000000000000000
χ44222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-2-221−521+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+52−1−52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000
χ45222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-22-22221−521+521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000
χ46222222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-222-21−521+521−521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000
χ47222222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-22-2-2-21+521−521+521−52−1−52−1−52−1+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+5200000000−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52000000000000000000000
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χ1224-4-440000004-4−1−5−1+51+51+51−51−5−1−5−1+500-440000000000000000000001+51−5−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000001+5−1−51−5−1+500−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000000000000
χ1234-4-44000000-4444-4-4-4-444000000000000000000000000044-4-40000000000000000000000000000000000000000000000000000000000000004-400000000000000000
χ1244-4-44000000-4444-4-4-4-444000000000000000000000000044-4-4000000000000000000000000000000000000000000000000000000000000000-4400000000000000000
χ12588-8-80000000088-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-800000000−2+25−2−252−25−2+252+25−2−252−252+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
χ12788-8-800000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000000000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-800000000−2−25−2+252+25−2−252−25−2+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+252+25−2−252−25−2+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
χ1308-8-88000000-88−2+25−2−252−252−252+252+25−2+25−2−250000000000000000000000000−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88000000-88−2−25−2+252+252+252−252−25−2−25−2+250000000000000000000000000−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000

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