Noah Yabbacome, 24, was arrested after police raided the St Nicholas Vicarage in Lincoln where his father David was the parish vicar.
Police found over 800 indecent images of children together with "extreme" photographs depicting bestiality.
Officers acted in February 2013 after learning of Yabbacome's activities.
Lincoln Crown Court heard that police found evidence from chat log entries which showed that he made contact with someone he thought was a 15-year-old girl and encouraged her to have sex with her pet dog.
Officers were unable to trace the person in question, and therefore were unable to verify if Yabbacome had indeed been chatting to a girl.
While on bail he downloaded further illegal images on a borrowed device but was reported when the owner was given it back.
Yabbacome, who now lives in Vicarage Close, Collingham, Nottinghamshire, admitted two charges of attempting to incite a child to engage in sexual activity and a string of offences relating to indecent images of children and extreme images.
Judge John Pini QC told him: "The public view this sort of offending with horror and justifiably so.
"These images involve actual physical contact with real girls which resulted in serious sexual abuse of very young children causing incalculable harm."
Det Sgt Vicky Midgley, of the police internet child abuse team, said: "Some of the detail officers have had to consider as part of the investigation is amongst the most hideously graphic I have seen."
Yabbacome, described as a "depraved individual", was also given a 10-year sexual harm prevention order, designed to control his behaviour when he is released.

Lord McConnell was in the African country to discuss the importance of electricity at the time.
He tweeted: "Spent the evening discussing the importance of better electricity for #Malawi. Walked out to the dark street and fell down a drain. #Ouch".
Jack McConnell served as first minister between 2001 and 2007.
He signed a co-operation agreement between Scotland and Malawi in 2005, and continues to be a regular visitor to the east African country.
It appears the Labour peer escaped injury after his stumble - but his admission sparked a flurry of responses on social media.
Twitter user @nowayjomo suggested: "Proved your point then?" while @itsjustlewis pondered: "fell down? or stumbled? Too many pints ;) but yes, funny how issues are like this are overlooked. Oan yersel".

Thomas Hunter, 58, of Mansfield Road, Mansfield, was arrested after the crash on the A34 at Hinksey Hill, Oxford, on 25 August.
Isla Wiggin, who was in another car, died in hospital on 27 August.
Mr Hunter has also been charged with causing serious injury to a 31-year-old woman by dangerous driving.
He has been released on bail to appear at Oxford Magistrates' Court on 17 January.
A lorry and seven cars were involved in the accident which closed the northbound carriageway for almost 10 hours.
A family statement said Isla, from Fleet in Hampshire, was "a loving and caring" daughter who "would have made an amazing big sister".

Kirklees Council said the plan was to "target properties with poor thermal efficiency and households at risk of fuel poverty".
The solar panels will be installed on 50 homes this year, 1,000 next year and 950 in 2016/2017.
Councillor Cathy Scott said the authority expected the panels to reduce household bills by £100 each year.
"A reduction in fuel poverty is the key driver for the project rather than maximising income and the intention would be to target properties with poor thermal efficiency," she said.
The council hoped the project would be self-financing with "a future feed in tariff income of £14m overall based on the electricity generated".
It also expects 50% of the electricity generated by the solar panels to be used by tenants.
A vicar's son who asked a teenage girl to perform a sex act with a dog while online at his father's vicarage has been jailed for a year.
[NEXT_CONCEPT]
A former Scottish first minister has fallen down a drain while walking in the dark in Malawi.
[NEXT_CONCEPT]
A man has been charged with causing the death of a three-year-old girl by dangerous driving in a crash involving eight vehicles.
[NEXT_CONCEPT]
A £9.2m scheme for 2,000 solar panels to be installed on council houses in Kirklees has been given the go ahead.