Concluded one far-right group was making a mistake (8)

I believe the answer is:
inferred
'concluded one far-right group' is the definition.
'inferred' can be an answer for 'concluded' (inferring is a kind of concluding). I am not sure about the 'one far-right group' bit.
'making a mistake' is the wordplay.
'making' becomes 'inf' (I can't justify this - if you can you should believe this answer much more).
'a mistake' becomes 'erred' (I've seen this before).
'inf'+'erred'='INFERRED'
'was' is the link.
Can you help me to learn more?
(Other definitions for inferred that I've seen before include "'Concluded, judged from the facts (8)'" , "Deduced by reasoning" , "Conjectured" , "Rein Fred in because he deduced" .)
