Finite Group Databasebeta

← Group #12968280

Character table — Group #12968280

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size11112222222222222222222222224444444444444444444444444444444888888888888888888888888888888888888888888101010101010101016161616161616162020202020202020202020204040404040404040
order1222444444445510101010101020202020202020202224444444488882020202020202020202020202020202044448810101010101020202020202020202020202020204040404040404040404040404040404022444444202020202020202022222444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-11-1-11-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111-1-11-1-11-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1
χ711111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-11111-1-1-1-11111
χ911111111-1-1111111111111111111-111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-111-1-11-11-111-1-1
χ1011111111-1-1111111111111111111-111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-111-11-11-1-111
χ1111111111-1-1111111111111111111-111-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-111-1-1-1-1-111-1-1-11-11-1-111
χ1211111111-1-1111111111111111111-111-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1111-11-111-1-1
χ1311111111-1-1111111111111111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-1-1-111-11-1111-1-1
χ1411111111-1-1111111111111111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-11-11-1-1-111
χ1511111111-1-1111111111111111111-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1111-11-1-1-111
χ1611111111-1-1111111111111111111-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-1-11-1111-1-1
χ171111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-111-1-1-111-1-1111-11-1
χ181111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11-1-111-1-1111-1-111-1-1-11-11
χ191111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111-111-1-111-1-1-11111-1-1-11-11
χ201111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1111-1-111-1-1111-1-1-1-1111-11-1
χ211111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-11111-1-1-1-11111-11-11-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-11111-111-1-111-1-11-11-1
χ221111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-11111-1-1-1-11111-11-11-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111111-1-1-1-11-1-111-1-111-11-11
χ231111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-11111-111-1-1-1-111-11-11
χ241111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1111-1-1-1-11-1-11111-1-11-11-1
χ251111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-11-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111111-1-11-1-1-1-1-111-11-1-11
χ261111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-11-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-111-111111-1-11-111-1
χ271111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111111-111-11-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-111111-1-11-1-1-1-11-1-11-111-1
χ281111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111111-111-11-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-111-11111-111-11-1-11
χ291111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11-1-1-1-1-1-1111111-1-111-1-11
χ301111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1111111-1-1-1-1-1-111-1-111-1
χ311111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-1-1-1-111111-111-1-111-1
χ321111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1111111-1-1-1-1-11-1-111-1-11
χ33222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−5200000000000000000000
χ34222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222222-2-2-2-2−1+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+52−1−52−1−52-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000001−521+521−521+521−521+521−521+5200000000000000000000
χ35222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22-2-22-2-2-2-22222−1+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+52−1−52−1−52-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+5200000000000000000000
χ36222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22-2-22-2-2-2-2-2-2-2-2−1+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+52−1−52−1−522222-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ37222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+5200000000000000000000
χ38222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222222-2-2-2-2−1−52−1−52−1+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+52-2-2-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−5200000000000000000000
χ39222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22-2-22-2-2-2-22222−1−52−1−52−1+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+52-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+521+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−5200000000000000000000
χ40222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22-2-22-2-2-2-2-2-2-2-2−1−52−1−52−1+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+522222-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ4122222222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-222-2-2-2-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-22-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+5200000000000000000000
χ4222222222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-222-2-2-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-222-221−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ4322222222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2222222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2222-21−521+521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−5200000000000000000000
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χ13488-8-800000000−2+25−2−25−2+25−2−252−252−252+252+254ζ12−4ζ28−4ζ12+4ζ28−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ36−4ζ4+4ζ364ζ4−4ζ360000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ13788-8-800000000−2−25−2+25−2−25−2+252+252+252−252−254ζ4−4ζ36−4ζ4+4ζ36−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ284ζ12−4ζ28−4ζ12+4ζ280000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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