The rakahs of Friday Prayer according to the Hanafis are as follows:
4 Sunnah 1
2 Fard (with congregation)
4 آخر ظهر (Akhir Zuhr) 2
4 Sunnah
2 Sunnah
2 Nafal
1 These are based on narrations to that effect. Some are listed here. The following are to the credit to III-AK-III:
From al-Ghaya 1/214
الصَّلَاة قبل الْجُمُعَة أَربع
The prayer before Jummah are four (rakahs).
From al-Diraya 1/217
عن ابن عباس كان رسول الله صلى الله عليه وسلم يركع قبل الجمعة أربعا لا
يفصل في
شيء منهن
Ibn Abbas related that the Messenger of Allah (ﷺ) offered four rakahs before Jummah and did not separate them [in twos?].
2 From what I understand, these are offered as a precautionary measure when the validity of the congregation of Jumah is doubted. These make up for the 4 fard Rakahs of Zuhr which should have been offered if Jumah was truly invalid and hence missed. The reasons for the Jumah being invalid can range from the impressibility within the schools of two separate congregations within a single city, or the legal incapacity of the Imam to lead the congregation etc.(See Hidayah).
Ibn Abidin (Shami) of the Hanafi school discusses this in Dar ul Mukhtar:
قلت : وحاصله أنه يصلي بعد الجمعة عشر ركعات أربعا سنتها وأربعا آخر ظهر
وركعتين سنة الوقت : أي لاحتمال أن الفرض هو الظهر فتقع الركعتان سنته
البعدية . والظاهر أنه يكفي نية آخر ظهر عن الأربع سنة الجمعة إذا صحت
الجمعة لأن المعتمد عدم اشتراط التعيين في السنن ، وإن لم تصح فالفرض هو
الظهر وتقع الأربع التي صلاها قبل الجمعة عن سنة الظهر القبلية لكن لطول
الفصل بصلاة الجمعة وسماع الخطبة يصلي أربعا أخرى فالأولى صلاة العشرة
Also see islamqa.org/hanafi:
Regarding the 4 extra rak'ah of “zuhr akhir” : there is no need for
this, unless there is a reasonable doubt that one or more of the
conditions (shurut) of Jumu'ah were not fulfilled. If that is the
case, then the order you mention (4 sunnah 2 fard 4 sunnah 4 zuhr
akhir 2 sunnah) is fine. [Ibn 'Abidin]
And on fazilettakvimi.com:
According to the Ijtihad view that Salat Juma’ can only be prayed in
one Masjid, whichever Masjid starts the prayer first, their Salat will
be accepted and all others that start later will not be accepted. To
escape from such a disagreement, it is advised to pray a further four
Rak’ah, called Zuhr-i Akhir after the second four Rak’ah Sunnah of
Salat Juma’.
The intentions is: Zuhr-i Akhir is prayed like the four Rak’ah Fard or
four Rak’ah Sunnah of Zuhr. The best way is to pray is like the
Sunnah. Because if the Salat Juma’ is not fulfilled, then this will
act as a cover to fulfil it. Adding a Surah or some Ayahs after Surah
Fatiha to the last two Rak’ah’s does not affect it. And if Salat
Juma’ has been fulfilled, then this will be in place of a Salat Zuhr
which has not be prayed before (Qaza). If there is no Qaza Salat like
this, then this will be counted as Nawafil Salat.