display the months of a specific category

I have a website made in wordpress, this website has a file called category-intranet.php that is responsible for showing me all the posts of the category Intranet. what I need is that when the visitor reaches this point, on one side you see all the posts of the category intranet and on the other a kind of sidebar that shows the months ONLY of the category Intranet. I tried with get_month_link(), but this shows all the months of all posts and this does not serve me. here I leave my code

            header class=page-header
                ?php
                the_archive_title( 'h1 class=headline color-black', '/h1' );
                echo 'br';
                if ( category_description() ) {
                    echo category_description();
                }
                ?
            /header
            div class=grid
                ?php
                // Start the loop.
                echo 'div';
                while ( have_posts() ) :
                    the_post();
                    echo 'a href=' . get_the_permalink() . '';
                    echo 'div class=post-access';
                    the_title( 'h3 class=standard medium color-black', '/h3' );
                    echo 'p class=standard color-black' . get_the_time( get_option( 'date_format' ) ) . '/p';
                    echo '/div';
                    echo '/a';

                endwhile;

                // Previous/next page navigation.
                the_posts_pagination(
                    array(
                        'prev_text'          = __( 'Previous page', 'twentyfifteen' ),
                        'next_text'          = __( 'Next page', 'twentyfifteen' ),
                        'before_page_number' = 'span class=meta-nav screen-reader-text' . __( 'Page', 'twentyfifteen' ) . ' /span',
                    )
                );
                echo '/div';
                endif;
                echo 'div';
                if ( have_posts() ) {
                    while ( have_posts() ) {
                        the_post();
                        echo ' div class=month
                                a href=' . get_month_link( '', '' ) . '
                                    p class=standard color-black' . get_the_time( 'F Y' ) . '/p
                                /a
                        /div';

                    } // end while
                } // end if
                echo '/div';
                ?

Obviously and before asking here I have used the search engine of the forum and google and I have not found anything. Thank you very much

PS: I also have the archive-intranet.php so that the visitor can get here after clicking on the url