Finite Group Databasebeta

← Group #12102403

Character table — Group #12102403

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222222222222222444444444444444444444444444444448888888888888888888888888888888888888888881010101010101010161616161616161620202020202020202020202020202020404040404040
order1222222244445510101010101010101010101010104444444444448888202020202020202020202020202020204444882020202020202020202020202020202020202020404040404040404040404040404040404444444420202020202020204444444444448888444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ6111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ7111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ8111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111
χ91111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ101111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ121111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ141111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111
χ151111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ161111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1
χ171-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111i−i11-1-1i−iii−i−iii−i−iiiii−i−i−i−i11-1-111-1-11-1i−i1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−i11-1-1i−ii−i11-1-1ii−i−iii−i−ii−i1-11-1
χ181-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111i−i11-1-1i−iii−i−iii−i−iiiii−i−i−i−i11-1-111-1-11-1i−i1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111ii−i−i11-1-1−ii−ii-1-111−i−iii−i−iii−ii-11-11
χ191-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111i−i11-1-1i−iii−i−i−i−iiiiiii−i−i−i−i11-1-111-1-1-11−ii-11ii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iii-1-111i−ii−i11-1-1ii−i−i−i−iii−ii-11-11
χ201-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111i−i11-1-1i−iii−i−i−i−iiiiiii−i−i−i−i11-1-111-1-1-11−ii-11ii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iii-1-111−ii−ii-1-111−i−iiiii−i−ii−i1-11-1
χ211-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111i−i-1-111i−i−i−iiiii−i−iiiii−i−i−i−i11-1-111-1-1-11−ii1-1ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−iii-1-111i−ii−i-1-111−i−iiiii−i−i−ii-111-1
χ221-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111i−i-1-111i−i−i−iiiii−i−iiiii−i−i−i−i11-1-111-1-1-11−ii1-1ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iii-1-111−ii−ii11-1-1ii−i−i−i−iiii−i1-1-11
χ231-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111i−i-1-111i−i−i−iii−i−iiiiiii−i−i−i−i11-1-111-1-11-1i−i-11ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1ii−i−i11-1-1i−ii−i-1-111−i−iii−i−iiii−i1-1-11
χ241-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111i−i-1-111i−i−i−iii−i−iiiiiii−i−i−i−i11-1-111-1-11-1i−i-11ii−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−i11-1-1−ii−ii11-1-1ii−i−iii−i−i−ii-111-1
χ251-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111−ii11-1-1−ii−i−iiiii−i−i−i−i−i−iiiii11-1-111-1-1-11i−i-11−i−iii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i-1-111−ii−ii11-1-1−i−iiiii−i−ii−i-11-11
χ261-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111−ii11-1-1−ii−i−iiiii−i−i−i−i−i−iiiii11-1-111-1-1-11i−i-11−i−iii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−i-1-111i−ii−i-1-111ii−i−i−i−iii−ii1-11-1
χ271-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111−ii11-1-1−ii−i−iii−i−iii−i−i−i−iiiii11-1-111-1-11-1−ii1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii11-1-1−ii−ii11-1-1−i−iii−i−iii−ii1-11-1
χ281-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111−ii11-1-1−ii−i−iii−i−iii−i−i−i−iiiii11-1-111-1-11-1−ii1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−iii11-1-1i−ii−i-1-111ii−i−iii−i−ii−i-11-11
χ291-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111−ii-1-111−iiii−i−iii−i−i−i−i−i−iiiii11-1-111-1-11-1−ii-11−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−iii11-1-1−ii−ii-1-111ii−i−iii−i−i−ii1-1-11
χ301-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111−ii-1-111−iiii−i−iii−i−i−i−i−i−iiiii11-1-111-1-11-1−ii-11−i−iiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii11-1-1i−ii−i11-1-1−i−iii−i−iiii−i-111-1
χ311-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111−ii-1-111−iiii−i−i−i−iii−i−i−i−iiiii11-1-111-1-1-11i−i1-1−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1ii−i−i-1-111−ii−ii-1-111ii−i−i−i−iiii−i-111-1
χ321-11-1-111-11-11-1111111-1-1-1-1-1-1-1-111−ii-1-111−iiii−i−i−i−iii−i−i−i−iiiii11-1-111-1-1-11i−i1-1−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−i-1-111i−ii−i11-1-1−i−iiiii−i−i−ii1-1-11
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+52−1−52222222−1+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52000000001−521+521−521+521−521+521−521+520000000000000000000000
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+52−1−5222-2-2-2-222-2-2-2-22222−1+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+52−1−52-2-2-2-222−1+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+52−1−52−1−52000000001−521+521−521+521−521+521−521+520000000000000000000000
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+52−1−5222-2-2-2-222-2-2-2-2-2-2-2-2−1+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+52−1−522222-2-2−1+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+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52-2-22222-2-2-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-21−521+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+5200000000−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
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+52−1−52−1+52−1−52−1+52−1−5222-2-2221−521+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+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-2222222221−521−521+521+521−521−521+521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-22222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222221−521+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+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.