Finite Group Databasebeta

← Group #12975166

Character table — Group #12975166

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size11112222222222222222444444444444444444444444444888888888888888888888888888888161616161616161616161616161616162020202020202020202020202020202020202020404040404040
order1222224444445510101010101022488881010101010101010202020202020202020202020244444448810102020404040404040404040404040404040401010202020202020202020202020202022224444444444448888222488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ511111111111111111111111-1-1-1-111111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111-1-1-1-111111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ711111111111111111111111-1-1-1-111111111111111111111-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-1
χ811111111111111111111111-1-1-1-111111111111111111111-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111
χ911111111-1-11111111111-1-1-111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-11
χ1011111111-1-11111111111-1-1-111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-1
χ1111111111-1-11111111111-1-1-111111111-1-1-1-1111111-1-1-1-111-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11
χ1211111111-1-11111111111-1-1-111111111-1-1-1-1111111-1-1-1-111-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-11-1
χ1311111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1
χ1411111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-11
χ1511111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-11-1
χ1611111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-11
χ171111-1-1-1-11111111111111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-11-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11-1111-11-11-111-1-1-1-111111-1-11-1-1
χ181111-1-1-1-11111111111111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-11-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-11-1-1-11-11-11-1-11111-1-1-1-1-111-111
χ191111-1-1-1-11111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-11-111-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111-1-1-11-11-11-1-1-111111111-111-1-1-1
χ201111-1-1-1-11111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-11-111-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1111-11-11-1111-1-1-1-1-1-1-1-11-1-1111
χ211111-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-11-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-1-11-11-11-111-1-111-1-1-1-11-11-111
χ221111-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-11-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1111-11-11-11-1-111-1-11111-11-11-1-1
χ231111-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-111-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1111-11-11-1-1-111-1-1-1-1-1-1-11-1111
χ241111-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-111-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-11-1-1-11-11-1111-1-11111111-11-1-1-1
χ251111-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-11-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11-111-11-111-111-1-1-1-1-1-111-111-11-1
χ261111-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-11-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-11-1-11-11-1-11-1-1111111-1-11-1-11-11
χ271111-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-11-11-11-1111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111-1-1-1-11-111-1-1-11111-1-1111-1-111-1
χ281111-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-11-11-11-1111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-11111-11-1-1111-1-1-1-111-1-1-111-1-11
χ291111-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-1-111-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-11-111-111-1-11111-1-1-11-11-11
χ301111-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-1-111-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-11111-11-1-11-1-111-1-1-1-1111-11-11-1
χ311111-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1-1111-11-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-11-111-11-111-1-1-111-1-111-1-11-11-1-11
χ321111-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1-1111-11-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-11-11-1-1111-1-111-1-111-11-111-1
χ33222222222222−1+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+52−1−522222222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000000000
χ34222222222222−1+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+52−1−52-2-2-2-2-2-2-2-222−1+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+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000000000
χ35222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2-2−1+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+52−1−52222-2-22-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+5200000000000000000000000000
χ36222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2-2−1+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+52−1−52-2-2-222-222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−5200000000000000000000000000
χ37222222222222−1−52−1+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+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000000000
χ38222222222222−1−52−1+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+52-2-2-2-2-2-2-2-222−1−52−1+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+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000000000
χ39222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1−52−1+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+52222-2-22-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−5200000000000000000000000000
χ40222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1−52−1+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+52-2-2-222-222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+5200000000000000000000000000
χ4122222222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22222−1+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+52−1+52−1−522-2-2-2-2222-2-21−521+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+52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000000000
χ4222222222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22222−1+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+52−1+52−1−52-22222-2-2-2-2-21−521+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+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+5200000000000000000000000000
χ4322222222-2-222−1+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+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2-2222-2-2221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000000000
χ4422222222-2-222−1+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+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52-222-2-2-222221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000000000
χ4522222222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-2-2-2-2222-2-21+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+521−521−52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000000000
χ4622222222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-22222-2-2-2-2-21+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+521−521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−5200000000000000000000000000
χ4722222222-2-222−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-2-2222-2-2221+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+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000000000
χ4822222222-2-222−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-222-2-2-222221+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+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000000000
χ49222222-2-222-2-222222222-2-2200002222-2-2-2-2-2-2-2-2-2-22222-2-20000000000-2-222000000000000000000000000000000002-2002-2-22-220000000000000000
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χ11388-8-800000000−2+25−2−25−2+25−2−252−252+252−252+2500000000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ36000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-800000000−2−25−2+25−2−25−2+252+252−252+252−2500000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ28000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800000000−2−25−2+25−2−25−2+252+252−252+252−25000000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-800008i−8i00−2+25−2−252−252+25−2+25−2−252−252+25000000000000000000000−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800008i−8i00−2−25−2+252+252−25−2−25−2+252+252−25000000000000000000000−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ3800000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-80000−8i8i00−2+25−2−252−252+25−2+25−2−252−252+250000000000000000000004ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-80000−8i8i00−2−25−2+252+252−25−2−25−2+252+252−250000000000000000000004ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3800000000000000000000000000000000000000000000000000000000000000000000000000

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