Finite Group Databasebeta

← Group #12109708

Character table — Group #12109708

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111222222222222222222224444444444444444444444448888888888888888888888888888888888888888888888161616161616161620202020202020202020202040404040404040404040
order1222222244445510101010101010101010101010104444888820202020202020202020202020202020444444448820202020202020202020202020202020202020204040404040404040404040404040404020202020202020202244444488884444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111
χ711111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ811111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ91111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ101111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1
χ121111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ131111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ161111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1
χ171111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111i−ii−ii−ii−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1-11-111-1-111-1-1i−ii−ii−ii−i1-1
χ181111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111i−ii−ii−ii−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-11-11-1-111-1-111−ii−ii−ii−ii-11
χ191111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111−ii−ii−ii−ii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1-11-111-1-111-1-1−ii−ii−ii−ii1-1
χ201111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111−ii−ii−ii−ii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii-11-11-1-111-1-111i−ii−ii−ii−i-11
χ211111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111i−ii−i−ii−ii-1111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i1-11-111-1-1-1-111i−i−iii−i−ii-11
χ221111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111i−ii−i−ii−ii-1111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i-11-11-1-11111-1-1−iii−i−iii−i1-1
χ231111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111−ii−iii−ii−i-1111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii1-11-111-1-1-1-111−iii−i−iii−i-11
χ241111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111−ii−iii−ii−i-1111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii-11-11-1-11111-1-1i−i−iii−i−ii1-1
χ251111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111i−i−iii−i−ii-11-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-11-1-1-11111-1-1−ii−iii−ii−i-11
χ261111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111i−i−iii−i−ii-11-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-11-1111-1-1-1-111i−ii−i−ii−ii1-1
χ271111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111−iii−i−iii−i-11-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-11-1-1-11111-1-1i−ii−i−ii−ii-11
χ281111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111−iii−i−iii−i-11-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-11-1111-1-1-1-111−ii−iii−ii−i1-1
χ291111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111i−i−ii−iii−i1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iii1-11-1-1-111-1-111−iii−ii−i−ii1-1
χ301111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111i−i−ii−iii−i1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i−i−iii-11-1111-1-111-1-1i−i−ii−iii−i-11
χ311111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111−iii−ii−i−ii1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i1-11-1-1-111-1-111i−i−ii−iii−i1-1
χ321111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111−iii−ii−i−ii1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iiiii−i−i-11-1111-1-111-1-1−iii−ii−i−ii-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+52−1−5222222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−521−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000000000000000
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+52−1−522222-2-2-2-2−1+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+52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+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+52−1−520000000000000000000000
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+52−1−522222-2-2-2-2−1+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+52−1−52-2-2-2-22222-2-2−1+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+521−521+521−521+521−521+521−521+520000000000000000000000
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+52−1−52-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222-2-222-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
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+52−1−52-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-2-222-2-222-2-21−521+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+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+52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222-2-2-2-222221−521+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+521−521−521+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+52−1−521−521+521−521+520000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-2-22222-2-2221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+52−1+52−1−52−1+52−1−520000000000000000000000
χ41222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ42222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000000000000000
χ43222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1+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+522222-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+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+520000000000000000000000
χ44222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1+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+52-2-2-2-22222-2-2−1−52−1+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+521−521−521+521−521+521−521+521−521+521−520000000000000000000000
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χ1234-4-44-444-40000−1−5−1+5−1−5−1−5−1+5−1+51+51+5−1−51−51−5−1+51+51−51+51−50000−222222−22000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000000000000000
χ1244-4-44-444-40000−1−5−1+5−1−5−1−5−1+5−1+51+51+5−1−51−51−5−1+51+51−51+51−50000−222222−220000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000000000000000
χ12588-8-888-8-80000−2+25−2−25−2+252−25−2−252+25−2+252−252−25−2−252+252+252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-888-8-80000−2−25−2+25−2−252+25−2+252−25−2−252+252+25−2+252−252−252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8-8-8880000−2+25−2−252−25−2+252+25−2−25−2+252−252−25−2−252+252+25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-8-8880000−2−25−2+252+25−2−252−25−2+25−2−252+252+25−2+252−252−25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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