Finite Group Databasebeta

← Group #12121379

Character table — Group #12121379

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111222222222222222222224444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888101010102020202020202020202040404040404040404040
order1222444422445510101010101020202020202020202244444488888888101010102020202040404040404040404040404040404040448888101010102020202020202020202020202020202020202020404040404040404040404040404040404040404040404040444444444488884444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ91111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111
χ101111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1
χ121111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ131111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1
χ141111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ151111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ161111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ171111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-11-1ii−i−iii−i−i1-11-1i−ii−i1-1
χ181111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-1i−i1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-11−i−iii−i−iii-11-11−ii−ii-11
χ191111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-11−ii-111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-11-1ii−i−i−i−iii1-1-11i−i−ii-11
χ201111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-11−ii-111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111-11−i−iiiii−i−i-111-1−iii−i1-1
χ211111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-11i−i-111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-11-1−i−iiiii−i−i1-1-11−iii−i-11
χ221111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-11i−i-111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111-11ii−i−i−i−iii-111-1i−i−ii1-1
χ231111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-11-1−i−iii−i−iii1-11-1−ii−ii1-1
χ241111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-11ii−i−iii−i−i-11-11i−ii−i-11
χ251111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iiiii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-11−ii1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-11-1ii−i−iii−i−i-11-11−ii−ii1-1
χ261111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iiiii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-11−ii1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-11−i−iii−i−iii1-11-1i−ii−i-11
χ271111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-1i−i-11-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-11-1ii−i−i−i−iii-111-1−iii−i-11
χ281111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-1i−i-11-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111-11−i−iiiii−i−i1-1-11i−i−ii1-1
χ291111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-1−ii-11-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-11-1−i−iiiii−i−i-111-1i−i−ii-11
χ301111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-1−ii-11-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111-11ii−i−i−i−iii1-1-11−iii−i1-1
χ311111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-11i−i1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-11-1−i−iii−i−iii-11-11i−ii−i1-1
χ321111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-11i−i1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-11ii−i−iii−i−i1-11-1−ii−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+52−1−52−1−522222222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+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+52−1−52−1−52222222222222-2-2-2-2−1+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+52-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+52−1−52−1−522222-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−521−521−521+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+52−1−52−1−522222-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-222−1+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+52−1−52−1−521−521−521+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+52−1−52−1−52000000000000000000000000
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+52−1−52−1−52-2-2-2-22222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2221−521−521+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+52−1−52−1−521−521−521+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+52−1−52−1−52000000000000000000000000
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+52−1−52−1−52-2-2-2-22222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+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+52−1−52−1−52-2-2-2-2-2-2-2-222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-21−521−521+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+521−521−521+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+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+52−1−52−1−52-2-2-2-2-2-2-2-22222-2-2-2-2−1+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+52-2-222221−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
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+522222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+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
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χ1448-8-888i−8i−8i8i0000−2−25−2+252+25−2−252−25−2+252+252−25−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ194ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ190000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-8-88−8i8i8i−8i0000−2+25−2−252−25−2+252+25−2−252−252+254ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ7−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-8-88−8i8i8i−8i0000−2−25−2+252+25−2−252−25−2+252+252−254ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ19−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ190000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.