Finite Group Databasebeta

← Group #12109043

Character table — Group #12109043

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111222222222222222222222222444444444444444444888888888888888888888888888888888888888888888888101010101616161616161616202020202020404040404040404040404040
order1222222244444444551010101010101010101010101010222020202020202020202020202020202044444444888810101010202020202020202020202020202020204040404040404040404040404040404044442020202020202020444444224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111
χ511111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ101111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111
χ111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ121111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1
χ131111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ141111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ151111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ161111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111
χ171-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1111-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-11-11-11-1i−ii−i1-1i−ii−i
χ181-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1111-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-1-1-11-11-11-11−ii−ii-11−ii−ii
χ191-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1111-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-11-11-11-1−ii−ii1-1−ii−ii
χ201-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1111-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-1-1-11-11-11-11i−ii−i-11i−ii−i
χ211-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-1111-11-11-1-11i−ii−i-11−ii−ii
χ221-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111-11-11-111-1−ii−ii1-1i−ii−i
χ231-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-1111-11-11-1-11−ii−ii-11i−ii−i
χ241-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111-11-11-111-1i−ii−i1-1−ii−ii
χ251-1-111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-111111-1-1-1-11111-1-1-1-11-1-11i−i−iii−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-111-1-11-11i−i−ii1-1i−i−ii
χ261-1-111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-111111-1-1-1-11111-1-1-1-11-1-11i−i−iii−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-11-1-111-11-1−iii−i-11−iii−i
χ271-1-111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-111111-1-1-1-11111-1-1-1-11-1-11−iii−i−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-111-1-11-11−iii−i1-1−iii−i
χ281-1-111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-111111-1-1-1-11111-1-1-1-11-1-11−iii−i−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-11-1-111-11-1i−i−ii-11i−i−ii
χ291-1-111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-111111-1-1-1-11111-1-1-1-1-111-1i−i−ii−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111-111-1-111-1i−i−ii-11−iii−i
χ301-1-111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-111111-1-1-1-11111-1-1-1-1-111-1i−i−ii−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-1111-1-111-1-11−iii−i1-1i−i−ii
χ311-1-111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-111111-1-1-1-11111-1-1-1-1-111-1−iii−ii−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111-111-1-111-1−iii−i-11i−i−ii
χ321-1-111-1-1111-1-111-1-11111-1-1-1-111-1-1-1-111-111111-1-1-1-11111-1-1-1-1-111-1−iii−ii−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-1111-1-111-1-11i−i−ii1-1−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+52−1−5222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52000000000000000000
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+52−1−5222−1+52−1+52−1−52−1−52−1+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+52−1−521−521−521+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+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
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+52−1−5222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+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+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+52−1−5222−1+52−1+52−1−52−1−52−1+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+52−1−521−521−521+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+52−1−52−1−5200001−521+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+5222−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+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+5222−1−52−1−52−1+52−1+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+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+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+521−52000000000000000000
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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+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+5200001+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+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-222-2-222-2-21−521+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+5200001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
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+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2221−521+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+52−1−52−1−5200001−521+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+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2221−521+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+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
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χ1174-4-44-444-44-40000-44−1+5−1−51−51+51−51−51+51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−500−1+51−5−1−51+5000000001−5−1+51+5−1−5000000000000000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000
χ1184-4-44-444-44-40000-44−1−5−1+51+51−51+51+51−51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+500−1−51+5−1+51−5000000001+5−1−51−5−1+5000000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000
χ1194-4-44-444-44-40000-44−1−5−1+51+51−51+51+51−51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+500−1−51+5−1+51−5000000001+5−1−51−5−1+50000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000
χ1204-4-44-444-4-4400004-444-4-4-4-4-4-4-4-444444400-44-44000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1214-4-44-444-4-4400004-4−1+5−1−51−51+51−51−51+51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−5001−5−1+51+5−1−500000000−1+51−5−1−51+500000000000000002ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000000000000000000000000
χ1224-4-44-444-4-4400004-4−1+5−1−51−51+51−51−51+51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−5001−5−1+51+5−1−500000000−1+51−5−1−51+50000000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000000000000000000000000
χ1234-4-44-444-4-4400004-4−1−5−1+51+51−51+51+51−51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+5001+5−1−51−5−1+500000000−1−51+5−1+51−50000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000000000000000000000
χ1244-4-44-444-4-4400004-4−1−5−1+51+51−51+51+51−51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+5001+5−1−51−5−1+500000000−1−51+5−1+51−500000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000000000000000000000000
χ12588-8-8-8-88800000000−2+25−2−25−2+25−2−25−2+252−25−2−252+252−252+252−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-8-8-88800000000−2−25−2+25−2−25−2+25−2−252+25−2+252−252+252−252+25−2−252−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-88-8800000000−2+25−2−25−2+25−2−252−25−2+252+25−2−252−252+25−2+252−25−2−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88-8-88-8800000000−2−25−2+25−2−25−2+252+25−2−252−25−2+252+252−25−2−252+25−2+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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