Finite Group Databasebeta

← Group #12103545

Character table — Group #12103545

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222222222222244444444444444444444555555558888888888888888888888888888888810101010161616161616161616161616161616162020202020202020202020204040404040404040
order1222222244445510101010101010101010101010104444888888882020202020202020444444444444444420202020202020204040404040404040404040404040404044442020202020202020202020202020202044448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ91111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ101111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ121111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ131111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ141111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ151111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ161111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ171-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-1ii−i−i11-1-111-1-11111-1-1-1-1i−ii−i1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-1ii−i−iii−i−ii−ii−i11-1-1ii−i−i1-11-1i−ii−i
χ181-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-1ii−i−i11-1-111-1-11111-1-1-1-1−ii−ii-11-11ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-111−i−iii−i−iiii−ii−i11-1-1ii−i−i-11-11−ii−ii
χ191-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-1ii−i−i11-1-111-1-1-1-1-1-11111i−ii−i1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-11111-1-111-1-1ii−i−iii−i−i−ii−ii-1-111−i−iii-11-11−ii−ii
χ201-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1i−ii−i11-1-1ii−i−i11-1-111-1-1-1-1-1-11111−ii−ii-11-11ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-111-1-111−i−iii−i−iii−ii−ii-1-111−i−iii1-11-1i−ii−i
χ211-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1i−ii−i-1-111−i−iii11-1-111-1-11111-1-1-1-1i−i−ii1-1-11ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i−i−iiii−ii−i-1-111−i−iii1-1-11i−i−ii
χ221-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1i−ii−i-1-111−i−iii11-1-111-1-11111-1-1-1-1−iii−i-111-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1-1-11111-1-1−i−iiiii−i−ii−ii−i-1-111−i−iii-111-1−iii−i
χ231-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1i−ii−i-1-111−i−iii11-1-111-1-1-1-1-1-11111i−i−ii1-1-11ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-11111-1-1-1-111ii−i−i−i−iii−ii−ii11-1-1ii−i−i-111-1−iii−i
χ241-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1i−ii−i-1-111−i−iii11-1-111-1-1-1-1-1-11111−iii−i-111-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-111-1-11111-1-1−i−iiiii−i−i−ii−ii11-1-1ii−i−i1-1-11i−i−ii
χ251-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-1−i−iii11-1-111-1-11111-1-1-1-1i−ii−i-11-11−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-111ii−i−iii−i−i−ii−ii11-1-1−i−iii-11-11i−ii−i
χ261-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-1−i−iii11-1-111-1-11111-1-1-1-1−ii−ii1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-1−i−iii−i−iii−ii−ii11-1-1−i−iii1-11-1−ii−ii
χ271-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-1−i−iii11-1-111-1-1-1-1-1-11111i−ii−i-11-11−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111-1-111-1-111ii−i−iii−i−ii−ii−i-1-111ii−i−i1-11-1−ii−ii
χ281-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1−ii−ii11-1-1−i−iii11-1-111-1-1-1-1-1-11111−ii−ii1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-11111-1-111-1-1−i−iii−i−iiii−ii−i-1-111ii−i−i-11-11i−ii−i
χ291-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1−ii−ii-1-111ii−i−i11-1-111-1-11111-1-1-1-1i−i−ii-111-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1-1-11111-1-1ii−i−i−i−iii−ii−ii-1-111ii−i−i-111-1i−i−ii
χ301-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1−ii−ii-1-111ii−i−i11-1-111-1-11111-1-1-1-1−iii−i1-1-11−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11-1-111-1-1-1-111−i−iiiii−i−i−ii−ii-1-111ii−i−i1-1-11−iii−i
χ311-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1−ii−ii-1-111ii−i−i11-1-111-1-1-1-1-1-11111i−i−ii-111-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−iiii−ii−i11-1-1−i−iii1-1-11−iii−i
χ321-1-1-1111-11-11-111-1-1-1-111-1-11111-1-1−ii−ii-1-111ii−i−i11-1-111-1-1-1-1-1-11111−iii−i1-1-11−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-11111-1-1-1-111−i−iiiii−i−ii−ii−i11-1-1−i−iii-111-1i−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+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−5200000000000000000000
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+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
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+52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000022-2-222-2-2−1+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+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+5200000000000000000000
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+52−1−5200000000-2-222-2-222−1+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+5200001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
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+52−1−52-2-2-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000002222-2-2-2-21−521+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+5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
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+52−1−5200000000-2-2-2-222221−521+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+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
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+52−1−520000000022-2-2-2-2221−521+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+52−1−52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
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+52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000-2-22222-2-21−521+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+52−1−5200000000000000000000
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+520000000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+5200000000000000000000
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+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
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+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000022-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+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+521−5200000000000000000000
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+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000-2-222-2-222−1−52−1+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+521−521−5200001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.