Finite Group Databasebeta

← Group #12070298

Character table — Group #12070298

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111111112222222222222222222244444444444444444444444444448888888888888888888888888888888888888888888810101010161616161616161620202020202020202020202020204040404040404040
order1222444444445510101010101020202020202020204444888888882020202020202020404040404040404044888888202020202020202040404040404040404040404040404040404040404040404040404040224420202020404040404488888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ511111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ91111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ101111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1
χ121111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ131111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ141111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1
χ171111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−ii−i1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-111-1-1ii−i−i1-1ii−i−iii−i−iii−i−i1-11-1i−i1-1
χ181111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−ii−i1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-11111-1-1ii−i−i-11−i−iii−i−iii−i−iii-11-11−ii-11
χ191111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i-11i−i−ii-111111-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1-1-111−i−iii1-1ii−i−i−i−iii−i−iii1-1-11i−i-11
χ201111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i-11i−i−ii-111111-1-1-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111-1-111−i−iii-11−i−iiiii−i−iii−i−i-111-1−ii1-1
χ211111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiii-11−iii−i-111111-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1-1-111ii−i−i1-1−i−iiiii−i−iii−i−i1-1-11−ii-11
χ221111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiii-11−iii−i-111111-1-1-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111-1-111ii−i−i-11ii−i−i−i−iii−i−iii-111-1i−i1-1
χ231111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii−ii1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−i−iii1-1−i−iii−i−iii−i−iii1-11-1−ii1-1
χ241111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii−ii1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-11111-1-1−i−iii-11ii−i−iii−i−iii−i−i-11-11i−i-11
χ251111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii−ii1-1-1-1-1-11111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-111-1-1-1-111−i−iii1-1ii−i−i−i−iiiii−i−i-11-11−ii1-1
χ261111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii−ii1-1-1-1-1-11111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111-1-111−i−iii-11−i−iiiii−i−i−i−iii1-11-1i−i-11
χ271111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i1-1−iii−i-11-1-1-1-11111ii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-111-1-1ii−i−i1-1ii−i−iii−i−i−i−iii-111-1−ii-11
χ281111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i1-1−iii−i-11-1-1-1-11111ii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-11111-1-1ii−i−i-11−i−iii−i−iiiii−i−i1-1-11i−i1-1
χ291111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiii1-1i−i−ii-11-1-1-1-11111−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-111-1-1−i−iii1-1−i−iii−i−iiiii−i−i-111-1i−i-11
χ301111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiii1-1i−i−ii-11-1-1-1-11111−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-11111-1-1−i−iii-11ii−i−iii−i−i−i−iii1-1-11−ii1-1
χ311111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−ii−i1-1-1-1-1-11111−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-111-1-1-1-111ii−i−i1-1−i−iiiii−i−i−i−iii-11-11i−i1-1
χ321111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−ii−i1-1-1-1-1-11111−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111-1-111ii−i−i-11ii−i−i−i−iiiii−i−i1-11-1−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+52−1−52−1−52−1−52−1−52222222222222−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+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+52−1−52−1−52−1−52−1−5222222222-2-2-2-2−1+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+52−1−52−1−52-2-222-2-2-2-2−1+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+5200001−521+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+52−1−52−1−52−1−52−1−522222-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+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+5200001−521+521−521+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+52−1−52−1−52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2-2-222−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+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+52−1−52−1−52−1−52−1−52-2-2-2-222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2221−521−521+521+521−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+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+52−1−52−1−52−1−52−1−52-2-2-2-22222-2-2-2-2−1+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+52−1−52−1−5222-2-222-2-21−521−521+521+521−521−521+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+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522222-2-2-2-21−521−521+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+520000−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-22222221−521−521+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+52−1−52−1−5200001−521+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+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+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+5222222222-2-2-2-2−1−52−1−52−1+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+52-2-222-2-2-2-2−1−52−1−52−1+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+521−521−5200001+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+522222-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+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+521−521−5200001+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
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χ1304-4-44−4i4i4i−4i0000−1−5−1+51+51−51+5−1−51−5−1+52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000−2−2i2+2i−2+2i2−2i000000002ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ232ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ370000000000000000000000000000ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.