Custom Post Types In index.php / Categories?

Hello,

We are running a Church Deanery website with WordPress. We have created a new Custom Post Type called ‘event’ / ‘events’ – and we are using the built in categories we use for normal posts with these CPT.

I have been trying for quite a while to get this to work, but I would like the CPT to display on the index.php / Category / Archives page in the corresponding category. For example if I’m viewing the category ‘Church Category One’ – I want the ‘event’ CPT to display alongside the normal WordPress posts in this category.

How do I do this?