Finite Group Databasebeta

← Group #12066363

Character table — Group #12066363

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1111111122222222222222222222444444444444444488888888888888888888888888888888881010101016161616161616161616161616161616202020202020202020202020202020202020404040404040
order1222444444445510101010101020202020202020202444888820202020202020202444888888101020202020202040404040404040404040404040404040444410102020202020204040404040404040224444444488888888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ511111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ711111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ91111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-1-1111111111111-1-1-1-1-1-1
χ101111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ111111111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ121111111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111111111111-1-1-1-1-1-1-1-111
χ131111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ141111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11111111111-1-1-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ161111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11111111-1-1-1-11111-1-111-1-1
χ171111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1ii−i−i1111-1-1-1-11-11-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-1ii−i−iii−i−i1-1-111-111-1-1ii−i−iii−i−i1-1i−ii−i
χ181111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1ii−i−i1111-1-1-1-11-11-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-1-1ii−i−iii−i−i-111-1-11-1-111−i−iii−i−iii-11−ii−ii
χ191111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1ii−i−i1111-1-1-1-1-11-11−ii−iii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-111−i−iii−i−iii1-1-111-1-1-111−i−iiiii−i−i-11−iii−i
χ201111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1ii−i−i1111-1-1-1-1-11-11−ii−iii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111−i−iii−i−iii-111-1-1111-1-1ii−i−i−i−iii1-1i−i−ii
χ211111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−i−iii1111-1-1-1-11-11-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-1−i−iii−i−iii1-1-111-111-1-1−i−iii−i−iii1-1−ii−ii
χ221111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−i−iii1111-1-1-1-11-11-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-1-1−i−iii−i−iii-111-1-11-1-111ii−i−iii−i−i-11i−ii−i
χ231111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−i−iii1111-1-1-1-1-11-11i−ii−i−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-111ii−i−iii−i−i1-1-111-1-1-111ii−i−i−i−iii-11i−i−ii
χ241111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1−i−iii1111-1-1-1-1-11-11i−ii−i−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111ii−i−iii−i−i-111-1-1111-1-1−i−iiiii−i−i1-1−iii−i
χ251111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11ii−i−i1111-1-1-1-11-1-11i−i−ii−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i−i−iii11-1-1-1111-1-1ii−i−iii−i−i-11−ii−ii
χ261111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11ii−i−i1111-1-1-1-11-1-11i−i−ii−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111ii−i−i−i−iii-1-1111-1-1-111−i−iii−i−iii1-1i−ii−i
χ271111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11ii−i−i1111-1-1-1-1-111-1−iii−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1−i−iiiii−i−i11-1-1-11-1-111−i−iiiii−i−i1-1i−i−ii
χ281111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11ii−i−i1111-1-1-1-1-111-1−iii−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1−i−iiiii−i−i-1-1111-111-1-1ii−i−i−i−iii-11−iii−i
χ291111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−i−iii1111-1-1-1-11-1-11−iii−ii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111−i−iiiii−i−i11-1-1-1111-1-1−i−iii−i−iii-11i−ii−i
χ301111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−i−iii1111-1-1-1-11-1-11−iii−ii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111−i−iiiii−i−i-1-1111-1-1-111ii−i−iii−i−i1-1−ii−ii
χ311111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−i−iii1111-1-1-1-1-111-1i−i−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1ii−i−i−i−iii11-1-1-11-1-111ii−i−i−i−iii1-1−iii−i
χ321111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11−i−iii1111-1-1-1-1-111-1i−i−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−iii-1-1111-111-1-1−i−iiiii−i−i-11i−i−ii
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+52−1−52−1−522222222222−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
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+52−1−52−1−52-2-2-2-2-2-2-2-222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
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+52−1−52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
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+52−1−52−1−52-2-2-2-22222-2-2−1+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+521−521−521+521+5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
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+52−1−52−1−5222-2-222-2-2-2-21−521+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+520000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
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+52−1−52−1−52-2-222-2-222-2-21−521+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+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
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+52−1−52−1−5222-2-2-2-222221−521+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+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
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+52−1−52−1−52-2-22222-2-2221−521+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+52−1−52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
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+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+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
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+52-2-2-2-2-2-2-2-222−1−52−1+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+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
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+522222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
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+52-2-2-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ45222222222222−1−52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5222-2-222-2-2-2-21+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+521−521−520000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ46222222222222−1−52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-222-2-222-2-21+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+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ47222222222222−1−52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5222-2-2-2-222221+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+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.