It's possible to customize which sharing options are displayed on your clip, playlist or program-level omny.fm URLs.
Omny.fm Clip Page Options
For clip omny.fm pages, you can toggle the download and share options.
1) First head to Program (or Organization) settings > Sharing:
2) Select from the two checkboxes seen here under 'clip options'.
The 'Show clip download' checkbox will toggle the download button and 'Show clip share' will toggle the social sharing options as seen here on this page: https://omny.fm/shows/breakfast-with-john/copy-of-kylie-minogue-interview
Omny.fm Show and Playlist Page Options
It's possible to toggle the subscribe buttons for your show (program) and playlist pages.
1) Head to Program (or Organization) Settings as seen in the screenshots above and down to the Omny.fm default settings:
2) Toggle the 'Show subscribe' checkbox to display or remove the subscribe buttons as seen here on this page: https://omny.fm/shows/breakfast-with-john/playlists/podcast