Finite Group Databasebeta

← Group #12967713

Character table — Group #12967713

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222222222444444444444444444444444444444555588888888888888888888888888881010101010101010101016161616161616161616161616161616202020202020202020204040404040404040
order1222222222444455101010101010444444444410101010101010101010101020202020202020204444244488882020202020202020202020202020202020202020444444444410102020202020204040404040404040444444444424448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1
χ9111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-111-111-1-1
χ10111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11-1-11-1-111
χ11111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111111-1-11-1-111
χ12111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-111-111-1-1
χ13111111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-111
χ14111111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1
χ15111111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-11-1-1111-1-1
χ16111111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-111-1-1-111
χ171111-1-111-1-1-1-1111111111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11-11-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-111-1-111-1-111-1-11-11-1
χ181111-1-111-1-1-1-1111111111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-11-1111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111-111-1-111-1-1-1-111-11-11
χ191111-1-111-1-1-1-1111111111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-111-1-111-1-1-11-1-111-1-111-1-111-11-11
χ201111-1-111-1-1-1-1111111111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-11-1-111-1-11111-1-11-11-1
χ211111-1-111-1-1-1-11111111111-1-111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-1-111-1-11111-1-1-11-11
χ221111-1-111-1-1-1-11111111111-1-111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111-11-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-11-1-1-111-1-111-1-1111-11-1
χ231111-1-111-1-1-1-11111111111-1-111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-1111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-111-1-111-1111-1-111-1-1-1-1111-11-1
χ241111-1-111-1-1-1-11111111111-1-111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1111111-1-111-1-1-1111-1-111-1-111-1-1-11-11
χ251111-1-1-1-111-1-1111111111111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-11-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1111-1-1-1-111-11-111-1-11
χ261111-1-1-1-111-1-1111111111111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-11-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-1111-11-1-111-1
χ271111-1-1-1-111-1-1111111111111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1-11-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-11111-1-11-11-1-111-1
χ281111-1-1-1-111-1-1111111111111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-111-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-11-111-1-11
χ291111-1-1-1-111-1-11111111111-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-11-1-11111-1-1-11-11-111-1
χ301111-1-1-1-111-1-11111111111-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-11-1-11111-1-11-11-11-1-11
χ311111-1-1-1-111-1-11111111111-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-111-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11-111-1-1-1-1111-11-11-1-11
χ321111-1-1-1-111-1-11111111111-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-111-1-11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1111-111-1-1-1-111-11-11-111-1
χ3322222222222222−1+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+52−1−52−1−52000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3422222222222222−1+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+52−1−52−1−520000-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ3522222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200002222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ3622222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3722222222222222−1−52−1+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+52000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ3822222222222222−1−52−1+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+520000-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+5200000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ3922222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200002222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ4022222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ412222222222-2-2-2-22222222200000000-2-2222222222222-2-2-2-2-2-2-2-2222200000000-2-2-2-20000000000000000222222-2-2-2-20000000000000000-2-20000000000000000
χ422222222222-2-2-2-22222222200000000-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000-2-2-2-2-2-222220000000000000000220000000000000000
χ43222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2−1+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+52−1−52−1−5200002-2-2222-2-21−521+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+520000000000−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ44222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2−1+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+52−1−52−1−520000-222-2-2-2221−521+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+5200000000001−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ45222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-2−1+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+52−1−52−1−5200002-2-22-2-2221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ46222222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-2−1+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+52−1−52−1−520000-222-222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ47222222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2−1−52−1−52−1+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+5200002-2-2222-2-21+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+521−521−520000000000−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ48222222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2−1−52−1−52−1+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+520000-222-2-2-2221+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+521−521−5200000000001+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
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χ1154-4-44-4400004-4-44−1−5−1+51+51−5−1−5−1+51+51−54i−4i−4i4i0000001+5−1−51−5−1+500000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000000000000000
χ1164-4-44-4400004-4-44−1−5−1+51+51−5−1−5−1+51+51−5−4i4i4i−4i0000001+5−1−51−5−1+500000000−1−51+5−1+51−51+5−1−51−5−1+500000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000000000000000
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χ12288-8-8008-8000000−2−25−2+25−2−25−2+252+252−252+252−2500000000000000−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-800-88000000−2+25−2−25−2+25−2−252−252+252−252+25000000000000002−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-88-800008-80000−2+25−2−252−252+252−252+25−2+25−2−25000000000000000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-800008-80000−2−25−2+252+252−252+252−25−2−25−2+25000000000000000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-80000-880000−2+25−2−252−252+252−252+25−2+25−2−250000000000000000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88-80000-880000−2−25−2+252+252−252+252−25−2−25−2+250000000000000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.