Finite Group Databasebeta

← Group #12977949

Character table — Group #12977949

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size111122222222222244444444444444444444444444444444488881616161616161616202020202020202040404040111122222222222244444444444444444444444444444444488881616161616161616202020202020202040404040
order1222444455101010101010288881010101020202020202020204040404040404040404040404040404024441010202020202020244444444488222244441010101010101010288881010101020202020202020204040404040404040404040404040404024441010202020202020244444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1111111-1-11-1-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1111111-1-11-1-1-1
χ611111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-111-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-111-1111
χ711111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-111-11-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-111-11-1-1
χ811111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111-1-11-11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111-1-11-111
χ91111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-111111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-11
χ101111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-11-11111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-11-1
χ111111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-111111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-11
χ121111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111-11111-1-11111111111-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111-1
χ131111-1-11111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-111-1-1-1-1111-11-11111-1-11111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-111-1-1-1-1111-11-1
χ141111-1-11111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-11111-1-1-11-111111-1-11111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-11111-1-1-11-11
χ151111-1-11111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-11111-1-111-1-1-111-11111-1-11111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-11111-1-111-1-1-111-1
χ161111-1-11111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-111-1-111-1-1111-1-111111-1-11111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-111-1-111-1-1111-1-11
χ1722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−5200000000000022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52000000000000
χ1822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000
χ1922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+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+522-22-2−1+52−1−52−1+52−1−521−521+521−521+5200000000000022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+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+522-22-2−1+52−1−52−1+52−1−521−521+521−521+52000000000000
χ2022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+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+52-22-221−521+521−521+52−1+52−1−52−1+52−1−5200000000000022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+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+52-22-221−521+521−521+52−1+52−1−52−1+52−1−52000000000000
χ2122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000
χ2222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+521−5200000000000022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+521−52000000000000
χ2322222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1−52−1+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+521−521−521−521−522-22-2−1−52−1+52−1−52−1+521+521−521+521−5200000000000022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1−52−1+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+521−521−521−521−522-22-2−1−52−1+52−1−52−1+521+521−521+521−52000000000000
χ2422222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52-22-221+521−521+521−52−1−52−1+52−1−52−1+5200000000000022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52-22-221+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ25222222-2-222222222-20000-2-2-2-2-2-22222-2-200000000000000000000000000002-22-200000000222222-2-222222222-20000-2-2-2-2-2-22222-2-200000000000000000000000000002-22-200000000
χ26222222-2-222222222-20000-2-2-2-2-2-22222-2-20000000000000000000000000000-22-2200000000222222-2-222222222-20000-2-2-2-2-2-22222-2-20000000000000000000000000000-22-2200000000
χ272222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1−521−521+521−521+52−1+52−1−520000000000002222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1−521−521+521−521+52−1+52−1−52000000000000
χ282222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2221−521+52−1+52−1−52−1+52−1−521−521+520000000000002222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2221−521+52−1+52−1−52−1+52−1−521−521+52000000000000
χ292222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1−521−521+52−1+52−1−521−521+520000000000002222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1−521−521+52−1+52−1−521−521+52000000000000
χ302222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521+52−1+52−1−521−521+52−1+52−1−520000000000002222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ312222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-21+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+521+521+521+521+521−521−521−521−5222-2-2−1−52−1+521+521−521+521−52−1−52−1+520000000000002222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-21+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+521+521+521+521+521−521−521−521−5222-2-2−1−52−1+521+521−521+521−52−1−52−1+52000000000000
χ322222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-21+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+521+521+521+521+521−521−521−521−52-2-2221+521−52−1−52−1+52−1−52−1+521+521−520000000000002222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-21+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+521+521+521+521+521−521−521−521−52-2-2221+521−52−1−52−1+52−1−52−1+521+521−52000000000000
χ332222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−52−1−52−1+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+522-2-22−1−52−1+521+521−52−1−52−1+521+521−520000000000002222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−52−1−52−1+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+522-2-22−1−52−1+521+521−52−1−52−1+521+521−52000000000000
χ342222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−52−1−52−1+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+52-222-21+521−52−1−52−1+521+521−52−1−52−1+520000000000002222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−52−1−52−1+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+52-222-21+521−52−1−52−1+521+521−52−1−52−1+52000000000000
χ352222-2-2-2-222222222200002222-2-2-2-2-2-2-2-200000000000000000000000000002-2-22000000002222-2-2-2-222222222200002222-2-2-2-2-2-2-2-200000000000000000000000000002-2-2200000000
χ362222-2-2-2-222222222200002222-2-2-2-2-2-2-2-20000000000000000000000000000-222-2000000002222-2-2-2-222222222200002222-2-2-2-2-2-2-2-20000000000000000000000000000-222-200000000
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χ1454-4-44−4i4i00−1−5−1+51+5−1−51−5−1+51+51−5000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000000000-444-44i−4i001+51−5−1−51+5−1+51−5−1−5−1+500000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000000000
χ1464-4-44−4i4i00−1−5−1+51+5−1−51−5−1+51+51−5000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000000000-444-44i−4i001+51−5−1−51+5−1+51−5−1−5−1+500000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000000000

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