Thanks for your question, which has come up before. Displaying taxonomy terms on the WordPress “Attachment Page” (now called a “Media Page”) depends on your theme, and generally involves PHP code. Here are two earlier topics with more information:
Att. Tags on attachment page | www.remarpro.com
Show tags in attachment page | www.remarpro.com
You might also be interested in this recent change made by the WordPress core team:
Changes to attachment pages – Make WordPress Core
An alternative to using the WP Attachment Page would be to compose your own page with [mla_gallery]
shortcodes that display a single item gallery. You would pass the item ID from your main gallery page and use that with the ids=
shortcode parameter. This gives you a solution with no PHP coding required.
I am marking this topic resolved, but please update it if you have problems or further questions regarding the earlier topics or the alternative suggestion.