Finite Group Databasebeta

← Group #12118504

Character table — Group #12118504

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111222222222222222222224444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888101010102020202020202020202040404040404040404040
order1222222244445510101010101010101010101010104444444444448888202020202020202020202020202020202020202020202020444488202020202020202020202020202020202020202020202020202020202020202040404040404040404040404040404040444444444488884444444488
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
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1
χ101111111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111
χ111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-111-1-111
χ121111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-111-1-111-1-1
χ131111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-11111
χ141111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-111-1-1-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ171-11-1-111-1-111-11111-1-1-1-111-1-111-1-1i−i11-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1i−i1-1i−i11-1-1i−i1-11-1i−ii−i
χ181-11-1-111-1-111-11111-1-1-1-111-1-111-1-1i−i11-1-111-1-1i−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1i−ii−ii−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−ii-11−ii-1-111−ii-11-11−ii−ii
χ191-11-1-111-1-111-11111-1-1-1-111-1-111-1-1i−i11-1-1-1-111i−i-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−iii−i−ii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1i−i1-1i−i-1-111−ii-111-1i−i−ii
χ201-11-1-111-1-111-11111-1-1-1-111-1-111-1-1i−i11-1-1-1-111i−i-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−iii−i−ii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−ii-11−ii11-1-1i−i1-1-11−iii−i
χ211-11-1-111-1-111-11111-1-1-1-111-1-111-1-1i−i-1-11111-1-1i−i-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1i−i−ii−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-1i−i1-1i−i-1-111i−i1-1-11−ii−ii
χ221-11-1-111-1-111-11111-1-1-1-111-1-111-1-1i−i-1-11111-1-1i−i-1-111iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1i−i−ii−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-111−ii-11−ii11-1-1−ii-111-1i−ii−i
χ231-11-1-111-1-111-11111-1-1-1-111-1-111-1-1i−i-1-111-1-111i−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−ii−iii−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i11-1-1i−i1-1i−i11-1-1−ii-11-11−iii−i
χ241-11-1-111-1-111-11111-1-1-1-111-1-111-1-1i−i-1-111-1-111i−i11-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−ii−iii−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111−ii-11−ii-1-111i−i1-11-1i−i−ii
χ251-11-1-111-1-111-11111-1-1-1-111-1-111-1-1−ii11-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−ii1-1−ii11-1-1−ii1-11-1−ii−ii
χ261-11-1-111-1-111-11111-1-1-1-111-1-111-1-1−ii11-1-111-1-1−ii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−ii−ii−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111i−i-11i−i-1-111i−i-11-11i−ii−i
χ271-11-1-111-1-111-11111-1-1-1-111-1-111-1-1−ii11-1-1-1-111−ii-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1i−i−iii−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−ii1-1−ii-1-111i−i-111-1−iii−i
χ281-11-1-111-1-111-11111-1-1-1-111-1-111-1-1−ii11-1-1-1-111−ii-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1i−i−iii−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111i−i-11i−i11-1-1−ii1-1-11i−i−ii
χ291-11-1-111-1-111-11111-1-1-1-111-1-111-1-1−ii-1-11111-1-1−ii-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−iii−ii−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−ii1-1−ii-1-111−ii1-1-11i−ii−i
χ301-11-1-111-1-111-11111-1-1-1-111-1-111-1-1−ii-1-11111-1-1−ii-1-111−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−iii−ii−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-111i−i-11i−i11-1-1i−i-111-1−ii−ii
χ311-11-1-111-1-111-11111-1-1-1-111-1-111-1-1−ii-1-111-1-111−ii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1i−ii−i−ii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii11-1-1−ii1-1−ii11-1-1i−i-11-11i−i−ii
χ321-11-1-111-1-111-11111-1-1-1-111-1-111-1-1−ii-1-111-1-111−ii11-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1i−ii−i−ii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111i−i-11i−i-1-111−ii1-11-1−iii−i
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+52−1−52222222-2-2-2-222-2-2-2-2−1+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+52−1−52-2-222-2-21−521−521+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+52−1−52−1−52−1+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+52−1−5222-2-2-2-2222222-2-2-2-2−1+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+52−1−5222-2-2-2-2−1+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+52−1−52−1−521−521−521+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+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+52−1−5222-2-2-2-2-2-2-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+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+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+52−1−52−1−52000000000000000000000000
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+52−1−52-2-222222222-2-222221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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
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+52−1−52-2-22222-2-2-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5222-2-2221−521−521+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+52−1−52−1−521−521−521+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
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+52−1−52-2-2-2-2-2-22222-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-22222−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-2-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−522222-2-21−521−521+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+52−1+52−1+52−1−52−1−52−1+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+52000000000000000000000000
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χ1354-4-44-44-44-44-44−1−5−1+51+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+50000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−51+51−52ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-44-44-44-44−1−5−1+51+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+500000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−51+51−5−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4-44-444000044-4-4-4-4-4-44444-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022−22−22220000000000
χ1384-4-4-44-444000044-4-4-4-4-4-44444-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−222222−220000000000
χ139888-8-8-8-880000−2+25−2−25−2+25−2−25−2+25−2−252−252+252−252+252−252+252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ140888-8-8-8-880000−2−25−2+25−2−25−2+25−2−25−2+252+252−252+252−252+252−252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14188-88-8-88-80000−2+25−2−252−252+25−2+25−2−25−2+25−2−25−2+25−2−252−252+252−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-88-8-88-80000−2−25−2+252+252−25−2−25−2+25−2−25−2+25−2−25−2+252+252−252+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8888-8-8-80000−2+25−2−25−2+25−2−252−252+25−2+25−2−252−252+25−2+25−2−252−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8888-8-8-80000−2−25−2+25−2−25−2+252+252−25−2−25−2+252+252−25−2−25−2+252+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-8-8-88-8880000−2+25−2−252−252+252−252+252−252+25−2+25−2−25−2+25−2−252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-8-8-88-8880000−2−25−2+252+252−252+252−252+252−25−2−25−2+25−2−25−2+252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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