What are the specialised departments contained by the police force?

Also is there a particular department which deal in cases such as sexual offences and/or child swearing and offences?
Yes there is, by and large WPC's. The main specialisation is planting evidence
Depends on which police force you are talking about- police forces surrounded by large cities and states will have tons specialised divisions. Forces based in rural areas across the world won't.

Large police forces normally do have duty forces related to sexual offences and/or child mishandle. The exact name of that department differs between forces, but any large self-respecting force will own them.

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