Finite Group Databasebeta

← Group #12106975

Character table — Group #12106975

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222222222222222222244444444444444444444444444888888888888888888888888888888888888888888881010101010101010101010101616161616161616202020202020202020204040404040404040
order1222222244444444551010101010101010101010101010444444444420202020202020202020202020202020444488882020202020202020202020202020202020202020404040404040404040404040404040404444444444442020202020202020222244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1
χ131111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ141111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ151111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ161111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ1711-1-1-1-1111-111-1-11-111-1-1111111-1-1-1-1-1-1ii−i−iii−i−i1-111-1-1-1-11111-1-1-1-111i−ii−i1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−i11-1-1i−i11-1-11-11-1i−ii−i
χ1811-1-1-1-1111-111-1-11-111-1-1111111-1-1-1-1-1-1ii−i−iii−i−i1-111-1-1-1-11111-1-1-1-111i−ii−i1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iiiii−i−iii−i−i-1-111−ii-1-111-11-11−ii−ii
χ1911-1-1-1-1111-111-1-11-111-1-1111111-1-1-1-1-1-1ii−i−iii−i−i1-111-1-1-1-11111-1-1-1-111−ii−ii-11-1111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−i−i−iii−i−iii11-1-1i−i11-1-1-11-11−ii−ii
χ2011-1-1-1-1111-111-1-11-111-1-1111111-1-1-1-1-1-1ii−i−iii−i−i1-111-1-1-1-11111-1-1-1-111−ii−ii-11-1111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−i−iii-1-111−ii-1-1111-11-1i−ii−i
χ2111-1-1-1-1111-111-1-11-111-1-1111111-1-1-1-1-1-1−i−iii−i−iii1-111-1-1-1-11111-1-1-1-111i−ii−i-11-1111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−iii−i−i-1-111i−i-1-1111-11-1−ii−ii
χ2211-1-1-1-1111-111-1-11-111-1-1111111-1-1-1-1-1-1−i−iii−i−iii1-111-1-1-1-11111-1-1-1-111i−ii−i-11-1111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iiiii−i−iii−i−i11-1-1−ii11-1-1-11-11i−ii−i
χ2311-1-1-1-1111-111-1-11-111-1-1111111-1-1-1-1-1-1−i−iii−i−iii1-111-1-1-1-11111-1-1-1-111−ii−ii1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−i−i−iii−i−iii-1-111i−i-1-111-11-11i−ii−i
χ2411-1-1-1-1111-111-1-11-111-1-1111111-1-1-1-1-1-1−i−iii−i−iii1-111-1-1-1-11111-1-1-1-111−ii−ii1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii11-1-1−ii11-1-11-11-1−ii−ii
χ2511-1-1-1-1111-1-1-1111-111-1-1111111-1-1-1-1-1-1ii−i−i−i−iii-1111-1-1-1-1-1-1-1-1111111i−i−ii1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1−ii-1-111-111-1i−i−ii
χ2611-1-1-1-1111-1-1-1111-111-1-1111111-1-1-1-1-1-1ii−i−i−i−iii-1111-1-1-1-1-1-1-1-1111111i−i−ii1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−i−iii-1-111i−i11-1-11-1-11−iii−i
χ2711-1-1-1-1111-1-1-1111-111-1-1111111-1-1-1-1-1-1ii−i−i−i−iii-1111-1-1-1-1-1-1-1-1111111−iii−i-111-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1−ii-1-1111-1-11−iii−i
χ2811-1-1-1-1111-1-1-1111-111-1-1111111-1-1-1-1-1-1ii−i−i−i−iii-1111-1-1-1-1-1-1-1-1111111−iii−i-111-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iii−i−iiiii−i−i−i−iiiii−i−i-1-111i−i11-1-1-111-1i−i−ii
χ2911-1-1-1-1111-1-1-1111-111-1-1111111-1-1-1-1-1-1−i−iiiii−i−i-1111-1-1-1-1-1-1-1-1111111i−i−ii-111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−iii−i−i−i−iiiii−i−i−i−iii-1-111−ii11-1-1-111-1−iii−i
χ3011-1-1-1-1111-1-1-1111-111-1-1111111-1-1-1-1-1-1−i−iiiii−i−i-1111-1-1-1-1-1-1-1-1111111i−i−ii-111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1i−i-1-1111-1-11i−i−ii
χ3111-1-1-1-1111-1-1-1111-111-1-1111111-1-1-1-1-1-1−i−iiiii−i−i-1111-1-1-1-1-1-1-1-1111111−iii−i1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiiii−i−i-1-111−ii11-1-11-1-11i−i−ii
χ3211-1-1-1-1111-1-1-1111-111-1-1111111-1-1-1-1-1-1−i−iiiii−i−i-1111-1-1-1-1-1-1-1-1111111−iii−i1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1i−i-1-111-111-1−iii−i
χ332222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−5222222222−1+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+52−1−52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ342222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000001−521+521−521+521−521+521−521+52000000000000000000
χ352222222222222222−1+52−1−52−1+52−1−52−1+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+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+52−1−521−521−521+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+52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ362222222222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+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+52−1−521−521−521+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+52−1−52−1−520000000000001−521+521−521+521−521+521−521+52000000000000000000
χ372222222222222222−1−52−1+52−1−52−1+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+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+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ382222222222222222−1−52−1+52−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000001+521−521+521−521+521−521+521−52000000000000000000
χ392222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+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+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+521−521−52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ402222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+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+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+520000000000001+521−521+521−521+521−521+521−52000000000000000000
χ412222222222-2-2-2-222−1+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+52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222-2-222-2-21−521+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+52000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ422222222222-2-2-2-222−1+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+52−1−522222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-2-222-2-2221−521+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+52−1−52−1−520000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ432222222222-2-2-2-222−1+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+52−1−52-2-2-2-22222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222-2-2-2-2221−521+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+52−1−52−1−52000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
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χ1304-4-444-44-400−4i4i4i−4i0044-4-4-4-44-4-444444-4-40000000000000000−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1344-4-444-44-400−4i4i4i−4i00−1−5−1+51+51−51+51+5−1−51−51−5−1+5−1−5−1−5−1+5−1+51+51−500000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000ζ21−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+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000000000000000000000000000
χ1354-4-44-44-440000000044-4-4-44-4-44-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000004-4-4400000000000000000000000000
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χ1378-88-88-8-8800000000−2+25−2−25−2+25−2−252−25−2+252−252+25−2−252+252−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1408-8-88-88-8800000000−2−25−2+252+252−252+25−2−252+252−25−2+252−25−2−252+25−2+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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