Finite Group Databasebeta

← Group #12980821

Character table — Group #12980821

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111122222222222222222222444444444444444444444444444444444444455558888888888888888888888888888888810101010101010101010101016161616161616161616161620202020202020202020202020404040404040
order1222224444445588881010101010102444444888888101010102020202020202020202020204040404040404040444422444410102020202020202020202020204040404040404040404040402244444488881010101020202020202020202244444888888244444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-11111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111-1-11-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111
χ511111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111111-1-1-1-1-1-1-11-111-1
χ611111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-11111111-11-1-11
χ711111111111111-1-1-1-111111111-1-1111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111111-1-1-1-1-1-1-1-11-11-1-11
χ811111111111111-1-1-1-111111111-1-1111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-111111111-11-111-1
χ9111111-1-1-1-111111111111111-1111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11-11-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-11-111-1-111-1-11-1-11-1-1
χ10111111-1-1-1-111111111111111-1111-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-11-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1-111-1-111-111-111
χ11111111-1-1-1-111111111111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111-1-111-1-1-1-1-11-1-1-1-1-111-1-1-111-111
χ12111111-1-1-1-111111111111111-11-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1111-111111-1-1111-1-11-1-1
χ13111111-1-1-1-11111-1-1-1-1111111-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-11111-1-111-1-111-11
χ14111111-1-1-1-11111-1-1-1-1111111-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-11111111-11-1-1-1-111-1-111-1-11-1
χ15111111-1-1-1-11111-1-1-1-1111111-11-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-1-111-1-11111-1-11-1
χ16111111-1-1-1-11111-1-1-1-1111111-11-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-11-1111-1-111-1-1-1-111-11
χ171111-1-111-1-1111111111111111-111-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-111-1-111-1-1111-1-1-1-111-1-11-11-1
χ181111-1-111-1-1111111111111111-111-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-11111-1-111-11-11
χ191111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1111111-1-111-1-1-1-11-1-1-1-1-1-11111-11-11
χ201111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1111111-1-1-1-11-11-1
χ211111-1-111-1-11111-1-1-1-11111111-111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111-1-11-1-1-111
χ221111-1-111-1-11111-1-1-1-11111111-111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1111-1-1
χ231111-1-111-1-11111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-11-1-11111-1-1-1111-1-1
χ241111-1-111-1-11111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-111-111-1-1-1-1111-1-1-111
χ251111-1-1-1-11111111111111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111-11-11-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1-11-1-1-11
χ261111-1-1-1-11111111111111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-11-11-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1111-1
χ271111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-11-1-1-1-111-1-1-1-11-1111-1
χ281111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-11111-1-11111-11-1-1-11
χ291111-1-1-1-1111111-1-1-1-1111111-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11111111-1-1-1
χ301111-1-1-1-1111111-1-1-1-1111111-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111-1-111-111-1-111-1-1-1-1-1-1-1111
χ311111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1111
χ321111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-1111-1-1-1
χ33222222222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−520000222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000
χ34222222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222-2-22-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-2-2-2−1+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+52−1−52−1−520000000000001−521+521−521+521−521+521−521+521−521+521−521+520000000000000000000
χ35222222222222−1+52−1−52-2-2-2-2−1+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+5200002-222-2-2−1+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+52000000000000−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−520000000000000000000
χ36222222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−5222-2-2222-2-2-2-2-2-2−1+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+520000-22-2-222−1+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+520000000000001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+520000000000000000000
χ37222222222222−1−52−1+522222−1−52−1−52−1+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+520000222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000
χ38222222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222-2-22-2-2222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-2-2-2−1−52−1+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+520000000000001+521−521+521−521+521−521+521−521+521−521+521−520000000000000000000
χ39222222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+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+521−521−521−521−5200002-222-2-2−1−52−1+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+521−521−52000000000000−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+520000000000000000000
χ40222222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+5222-2-2222-2-2-2-2-2-2−1−52−1−52−1+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+521−521−521−521−520000-22-2-222−1−52−1+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+521−521−520000000000001+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−520000000000000000000
χ412222222222-2-2220000222222-2-200-200000000222222222222-2-2-2-2000000002222000000-2-2-2-20000-2-2000000000000000022-2-22222000000000000000000-2-2-200000000000000
χ422222222222-2-2220000222222-2-200-200000000222222222222-2-2-2-200000000-2-2-2-2000000-2-2-2-20000-2-20000000000000000-2-222-2-2-2-200000000000000000022200000000000000
χ43222222-2-2-2-222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-2222-22222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−520000-2-22-22-21−521+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+52−1+52−1+52−1−52−1−521−521−521+521+520000000000001−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000000
χ44222222-2-2-2-222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2-2-222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52000022-22-221−521+521−521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000000
χ45222222-2-2-2-222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52-2222-2-2-2-2-22222−1+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+520000-222-2-221−521+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+52−1+52−1+52−1−52−1−520000000000001−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000
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χ13588-8-80000008-8−2+25−2−2500002−252−252+252+25−2+25−2−2500000000000000000000000002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1408-8-8800000000−2−25−2+25−4i24i24i2−4i22+25−2−252−25−2+252+252−2500000000000000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ392ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ372ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ370000000000000000000000000000000000000000000000000000000000000000000000000000000

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