Father placed over Lateran order of brothers (9)

I believe the answer is:

fraternal

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'order of brothers' is the definition.
'fraternal' can be an answer for 'order' (thesaurus). I am not certain of the 'of brothers' bit.

'father placed over lateran' is the wordplay.
'father' becomes 'fra'.
'placed over lateran' becomes 'ternal' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'fra'+'ternal'='FRATERNAL'

Can you help me to learn more?

(Other definitions for fraternal that I've seen before include "Affectionate like brothers" , "Brotherly" , "from an association" .)

I've seen this clue in the Sydney Morning Herald.

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