Finite Group Databasebeta

← Group #12258290

Character table — Group #12258290

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444455555555888888888888888888888888888888888888888888888888101010101010101010101010202020202020202020202020202020202020202020202020
order1222222244444444444455101010101010101010101010101022444444444444444444444420202020202020202020202020202020202020202020202044444444101010102020202020202020202020202020202020202020202020202020202020202020202020202020202020202020444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ9111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111
χ12111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ14111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ15111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1
χ16111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-11111
χ1711111111-1-1-1-11111-1-1-1-1111111111111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-111
χ1811111111-1-1-1-11111-1-1-1-1111111111111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111111-1-1
χ1911111111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ2011111111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111
χ2111111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ2211111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ2311111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111
χ2411111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ2511111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ2611111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111
χ2711111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ2811111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ2911111111-1-1-1-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-111
χ3011111111-1-1-1-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ3111111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ3211111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ3311-1-1-1-111ii−i−iii−i−i11-1-1111111-1-1-1-1-1-1-1-1111-1i−ii−ii−ii−ii−ii−i1-11-11-11-11-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-111-1-111-1-1ii−i−iii−i−i11-1-11-1i−ii−ii−ii−ii−ii−i1-11-11-11-11-1
χ3411-1-1-1-111ii−i−iii−i−i11-1-1111111-1-1-1-1-1-1-1-1111-1i−ii−ii−ii−ii−ii−i1-11-11-11-11-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-111-1-111-1-1−i−iii−i−iii-1-111-11−ii−ii−ii−ii−ii−ii-11-11-11-11-11
χ3511-1-1-1-111ii−i−iii−i−i11-1-1111111-1-1-1-1-1-1-1-1111-1i−ii−i−ii−ii−ii−ii1-1-11-11-11-11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-111−i−iii−i−iii-1-111−i−iii11-1-1-1-111-1-111ii−i−iii−i−i11-1-11-1i−ii−i−ii−ii−ii−ii-11-111-1-11-11
χ3611-1-1-1-111ii−i−iii−i−i11-1-1111111-1-1-1-1-1-1-1-1111-1i−ii−i−ii−ii−ii−ii1-1-11-11-11-11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii-1-111−i−iii−i−iii-1-111−i−iii11-1-1-1-111-1-111−i−iii−i−iii-1-111-11−ii−iii−ii−ii−ii−i1-11-1-111-11-1
χ3711-1-1-1-111ii−i−iii−i−i11-1-1111111-1-1-1-1-1-1-1-111-11−ii−iii−ii−i−ii−ii-111-1-111-1-11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iiiii−i−i11-1-1ii−i−i−i−iii-1-111−i−iii-1-11111-1-1-1-111ii−i−iii−i−i11-1-1-11−ii−iii−ii−i−ii−ii1-1-11-111-1-11
χ3811-1-1-1-111ii−i−iii−i−i11-1-1111111-1-1-1-1-1-1-1-111-11−ii−iii−ii−i−ii−ii-111-1-111-1-11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111−i−iii−i−iiiii−i−i11-1-1ii−i−i−i−iii-1-111−i−iii-1-11111-1-1-1-111−i−iii−i−iii-1-1111-1i−ii−i−ii−iii−ii−i-111-11-1-111-1
χ3911-1-1-1-111ii−i−iii−i−i11-1-1111111-1-1-1-1-1-1-1-111-11−ii−ii−ii−iii−ii−i-11-111-1-111-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−iii-1-111−i−iiiii−i−i11-1-1ii−i−i-1-111-1-11111-1-1ii−i−iii−i−i11-1-1-11−ii−ii−ii−iii−ii−i-111-1-11-111-1
χ4011-1-1-1-111ii−i−iii−i−i11-1-1111111-1-1-1-1-1-1-1-111-11−ii−ii−ii−iii−ii−i-11-111-1-111-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111−i−iii−i−iii−i−iii-1-111−i−iiiii−i−i11-1-1ii−i−i-1-111-1-11111-1-1−i−iii−i−iii-1-1111-1i−ii−ii−ii−i−ii−ii1-1-111-11-1-11
χ4111-1-1-1-111ii−i−i−i−iii-1-111111111-1-1-1-1-1-1-1-1111-1i−i−iii−i−iii−i−ii-111-1-11-111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1ii−i−i−i−iiiii−i−i-1-111−i−iiiii−i−i11-1-1−i−iii-1-11111-1-1-1-111ii−i−i−i−iii-1-1111-1i−i−iii−i−iii−i−ii-111-1-111-1-11
χ4211-1-1-1-111ii−i−i−i−iii-1-111111111-1-1-1-1-1-1-1-1111-1i−i−iii−i−iii−i−ii-111-1-11-111-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i-1-111−i−iiiii−i−i11-1-1−i−iii-1-11111-1-1-1-111−i−iiiii−i−i11-1-1-11−iii−i−iii−i−iii−i1-1-111-1-111-1
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χ4811-1-1-1-111ii−i−i−i−iii-1-111111111-1-1-1-1-1-1-1-111-11−iii−i−iii−ii−i−ii1-1-11-111-11-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-111−i−iiiii−i−i−i−iii11-1-1ii−i−iii−i−i11-1-1−i−iii11-1-1-1-111-1-111−i−iiiii−i−i11-1-11-1i−i−iii−i−ii−iii−i-11-11-111-11-1
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χ5711-1-1-1-111−i−iii−i−iii11-1-1111111-1-1-1-1-1-1-1-1111-1−ii−iii−ii−ii−ii−i1-1-11-11-11-11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-111ii−i−iii−i−i-1-111ii−i−i11-1-1-1-111-1-111−i−iii−i−iii11-1-11-1−ii−iii−ii−ii−ii−i-11-111-1-11-11
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.