Finite Group Databasebeta

← Group #13022138

Character table — Group #13022138

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111111111111111444444444444444444444444444455555555555555558888888888888888888888882020202020202020202020202020202020202020202020202020202020202020202020202020202020202020
order12222222444444444444588888888101010101010102020202020202020222222224444444420202020202020204040404040404040404040404040404044444444444444444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111−i−i−i−i−i−i−i−iiiiiiiii
χ8111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111iiiiiiii−i−i−i−i−i−i−i−i
χ91111111111111111-1-1-1-111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ111111111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ121111111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ131111111111111111-1-1-1-11-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ141111111111111111-1-1-1-11-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ151111111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ161111111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii
χ1711111111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−i1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1811111111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−i1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ1911111111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111-1-11111-1-111-1-1
χ2011111111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111-1-111
χ2111111111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iii1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ2211111111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iii1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ2311111111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111-1-111
χ2411111111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111-1-11111-1-111-1-1
χ2511111111-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ2611111111-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ2711111111-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-111-1-1-1-111
χ2811111111-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-11111-1-1
χ2911111111-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ3011111111-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ3111111111-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-11111-1-1
χ3211111111-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii-1-11111-1-111-1-1-1-111
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.