These words can be used to put events in sequence: when, after, after that, afterwards, next, subsequently, later (on), followed by, to go on to and finally.
When and after are conjunctions, and they are used to join two clauses. The subordinate clause beginning with when or after can go before or after the main clause.
After can be used with verb + -ing.
After that and afterwards are used as adverbs, to sequence two events. After that is used when describing a list of two or more events. Afterwards means "after an event that has just been mentioned".
After is not usually used alone as an adverb.
Next and subsequently are used as adverbs. Next means "immediately after". Subsequently means "after that" or "at a later date". Subsequently is more formal than next, and is usually used in written English.
Later and later on are used as adverbs. Later means "after a particular time or event", but not necessarily immediately. Later on means "later in a period of time".
Other ways of talking about a sequence of events:
-followed by is used to join two clauses in the middle, but not at the beginning, of a sentence.
-to go on to do something can be used in any tense, and it is followed by the infinitive with to.