Miután meghívtuk a barátokat, a barátnőm még egyszer megnézte a listát a naptár mellett.

Miután means after or after the fact that. It introduces a time clause.

So:

Miután meghívtuk a barátokat = After we invited the friends

Hungarian often puts this kind of clause first, followed by a comma, just as English can do.

Here a is the definite article, so it means the.

A few useful points:

• a = the before a consonant
• az = the before a vowel
• Hungarian uses the same definite article for singular and plural

So:

• a barátokat = the friends as an object
• a listát = the list as an object
• a naptár = the calendar

Also, unlike English, Hungarian often keeps the definite article even before a possessed noun, which is why you get a barátnőm = my girlfriend.

The -t marks the direct object, similar to how English uses word order to show what receives the action.

In this sentence:

• meghívtuk a barátokat = we invited the friends
• megnézte a listát = she checked the list

So:

• barátok = friends
• barátokat = friends as the object

and

• lista = list
• listát = list as the object

Notice also that lista becomes listá- before -t. Final a often lengthens to á before endings in Hungarian.

barátnőm means my girlfriend or sometimes my female friend, depending on context.

Breakdown:

• barátnő = girlfriend / female friend
• -m = my

So barátnőm literally means girlfriend-my.

The article is there because Hungarian often uses the definite article before possessed nouns:

• a barátnőm = my girlfriend

That feels strange from an English perspective, because English does not say the my girlfriend, but in Hungarian this is normal.

meg- is a very common verbal prefix. It often gives the verb a more complete, bounded, or result-oriented meaning.

Here:

• hív = call
• meghív = invite

and

• néz = look, watch
• megnéz = look at, check, examine

So meg- is important to the meaning, not just an optional extra.

It also normally stays attached to the verb in a neutral positive sentence, which is why you see:

• meghívtuk
• megnézte

But in some other sentence types it can move:

• Nem hívtuk meg a barátokat. = We did not invite the friends.

Both verbs are in the past tense, and both use the definite conjugation.

Why definite? Because each verb has a definite object:

• a barátokat = the friends
• a listát = the list

Breakdown:

• meghívtuk = meg + hív + t + uk

  • hív = invite
  • -t- = past
  • -uk = we with a definite object
    So: we invited them/the friends

• megnézte = meg + néz + te

  • past tense
  • third person singular
  • definite object
    So: he/she checked it/the list

This is a key Hungarian feature: the verb form changes depending on whether the object is definite.

még egyszer means once more, one more time, or again.

Literally, it is something like still once, but you should learn it as a fixed expression.

So:

a barátnőm még egyszer megnézte a listát = my girlfriend checked the list one more time

It often emphasizes one additional repetition more clearly than a simple again.

a naptár mellett means next to the calendar or beside the calendar.

Breakdown:

• a naptár = the calendar
• mellett = beside / next to

Hungarian often uses postpositions, not prepositions. That means the location word comes after the noun, not before it.

So English says:

• beside the calendar

but Hungarian says:

• the calendar beside
  = a naptár mellett

It can be a little ambiguous, just as English can be.

This phrase could suggest either:

• she checked the list while being next to the calendar, or
• the list was next to the calendar

Usually context tells you which one is meant.

If Hungarian wants to make it clearer, it can do so more explicitly. For example:

• a naptár mellett lévő listát = the list that is next to the calendar
• a naptár mellett állva = while standing next to the calendar

So the original sentence is natural, but not maximally specific.

Yes, it could be different. Hungarian word order is flexible and often reflects emphasis, topic, and focus rather than a rigid English-style pattern.

This sentence is quite natural and neutral:

Miután meghívtuk a barátokat, a barátnőm még egyszer megnézte a listát a naptár mellett.

A rough structure is:

• Miután meghívtuk a barátokat = time/background
• a barátnőm = topic
• még egyszer = adverb
• megnézte = verb
• a listát = object
• a naptár mellett = location

If you move things around, the emphasis can change. For example:

• A listát nézte meg még egyszer a barátnőm.
  This puts more focus on the list.

So the sentence is not just about grammar; it also reflects what information is being presented as background, topic, or emphasis.