Finite Group Databasebeta

← Group #12970736

Character table — Group #12970736

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222222222222244444444444444444444448888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222224444444455101010101010441010101020202020202020202020202020202020224444448888202020204040404040404040404040404040404022224444101010102020202020202020202020204444222244448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-11-111-1-1
χ10111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-11-1-111
χ11111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-11-1-1-11-1-111
χ12111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1111-111-1-1
χ13111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11-1111-1-1-111
χ14111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-11-1-1-1111-1-1
χ15111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1111-1111-1-1
χ16111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1111-1-1-11-1-1-111
χ171111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-11-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-11-1-111-11-1
χ181111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-11-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11-111-1-11-11
χ191111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-111-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-1111-11-11-1-111-11-1-11-11
χ201111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-111-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-111-11-11-111-1-11-111-11-1
χ211111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-11-1-11-11-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-11-11-1-111-1-11-11-11-11
χ221111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-11-1-11-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-1-111-11-11-11-1
χ231111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-1111-11-1-11-11-111-11-11-1
χ241111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-11-111-11-11-1-11-11-11
χ251111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-11-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-11-111-11-1-11-1-11
χ261111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-11-111-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1111-1-11-11-1-11-111-111-1
χ271111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-111-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-1-1-1111-111-1
χ281111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-111-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-11111-1-1-11-1-11
χ291111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-111-1-11111-1-1-1-111-1
χ301111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-1-1-11111-1-11
χ311111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111-11-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-11-1-11-1111-1-11
χ321111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111-11-11-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111-111-11-1-1-111-1
χ3322222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3422222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000
χ3522222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3622222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521+521−521+520000000000000000
χ3722222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1+52−1−52−1+520000000000000000
χ3822222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
χ3922222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ4022222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521+521−521+521−520000000000000000
χ4122222222-2-2-2-2-2-2222222222-22222-2-2-2-222-2-222-2-2-2-2-2-20000000000002-22-20000000000000000222222-2-20000000000000000-22-2-2000000000000
χ4222222222-2-2-2-2-2-2222222222-22222-2-2-2-222-2-222-2-2-2-2-2-20000000000002-22-20000000000000000-2-2-2-2-2-22200000000000000002-222000000000000
χ43222222-2-222-2-2-2-222222222-222222-2-2-2-2-2-222-2-222-2-2-2-2000000000000-22-2200000000000000002222-2-22200000000000000002-2-2-2000000000000
χ44222222-2-222-2-2-2-222222222-222222-2-2-2-2-2-222-2-222-2-2-2-2000000000000-22-220000000000000000-2-2-2-222-2-20000000000000000-2222000000000000
χ45222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522222-2-2-2-222-2-21−521−521+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+5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ46222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222-2-222-2-2-2-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ47222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-222-2-222-2-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ48222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2-2-2222222-2-21−521−521+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+52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ49222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+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+522222-2-2-2-222-2-21+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+521−521−5200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ50222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+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+5222-2-222-2-2-2-2221+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+5200000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ51222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+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+52-2-222-2-222-2-2221+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+52000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ52222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+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+52-2-2-2-2222222-2-21+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+521−521−52000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
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χ1074-4-44-440000-444-4−1−5−1+51+51+5−1−51−51−5−1+5001+5−1−51−5−1+51+5−1−51−5−1+500000000−1−51+5−1+51−50000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000000000
χ1084-4-44-440000-444-4−1−5−1+51+51+5−1−51−51−5−1+5001+5−1−51−5−1+51+5−1−51−5−1+500000000−1−51+5−1+51−5000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000000000
χ10988-8-800008i−8i0000−2+25−2−25−2+252−252−25−2−252+252+25000000000000−4ζ11−4ζ194ζ11+4ζ1900−4ζ3−4ζ74ζ3+4ζ70000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-800008i−8i0000−2−25−2+25−2−252+252+25−2+252−252−25000000000000−4ζ3−4ζ74ζ3+4ζ700−4ζ11−4ζ194ζ11+4ζ190000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-80000−8i8i0000−2+25−2−25−2+252−252−25−2−252+252+250000000000004ζ11+4ζ19−4ζ11−4ζ19004ζ3+4ζ7−4ζ3−4ζ70000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-80000−8i8i0000−2−25−2+25−2−252+252+25−2+252−252−250000000000004ζ3+4ζ7−4ζ3−4ζ7004ζ11+4ζ19−4ζ11−4ζ190000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8008i−8i000000−2+25−2−252−25−2+252−252+25−2−252+250000000000−4ζ11−4ζ194ζ11+4ζ1900−4ζ3−4ζ74ζ3+4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8008i−8i000000−2−25−2+252+25−2−252+252−25−2+252−250000000000−4ζ3−4ζ74ζ3+4ζ700−4ζ11−4ζ194ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-800−8i8i000000−2+25−2−252−25−2+252−252+25−2−252+2500000000004ζ11+4ζ19−4ζ11−4ζ19004ζ3+4ζ7−4ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-800−8i8i000000−2−25−2+252+25−2−252+252−25−2+252−2500000000004ζ3+4ζ7−4ζ3−4ζ7004ζ11+4ζ19−4ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000

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