Al-Nu'man VI ibn al-Mundhir
Al-Nuʿmān ibn al-Mundhir , known in Greek sources as Naamanes  was a king of the Ghassanids, a Christian Arab tribe allied to the Byzantine Empire.
The eldest son of al-Mundhir III ibn al-Harith, he rose in revolt with his tribe after his father was treacherously arrested by the Byzantines in 581.
After two years of revolt, seeking to reconcile himself with the Empire, he visited the new emperor, Maurice (r. 582–602), at Constantinople.
Refusing to renounce his Monophysite faith, he was arrested and exiled to Sicily, where his father had been banned earlier.
This event marked the end of the Ghassanid control over the Byzantines' Arab "foederati" and the fragmentation of this strong buffer against invasions from the desert.
Al-Mundhir IV ibn al-Mundhir
Al- Mundhir IV ibn al- Mundhir was the king of the Lakhmid Arabs in 575–580.
The son of al- Mundhir III ibn al- Nu'man, he succeeded to the throne after his brothers Amr and Qabus.
His succession was unpopular with the inhabitants of the capital, al- Hirah, because of his violent nature and his paganism.
A Persian governor, Suhrab, was appointed and ruled Hirah for a year, until Zayd ibn Hammad( father of the poet Adi ibn Zayd) persuaded the people to accept Mundhir as their king.
The events of his reign are mostly obscure, except for the sack and razing of Hirah by the Ghassanids under al- Mundhir III ibn al- Harith.
He was succeeded by his son al- Nu'man III ibn al- Mundhir, the last Lakhmid king of Hirah.
Two of his wives are known by name: Salma bint al- Sa'igh, the mother of his heir al- Nu'man, a Jew captured during a raid on Fadak; and the Christian Mariya bint al- Harith ibn Julhum from the tribe of Taym al- Ribab, mother of a son named al- Aswad.
Mundhir had twelve or thirteen sons, but only al- Nu'man and al- Aswad are known by name.
Adi ibn Zayd
Adi ibn Zayd al- Ibadi was a 6th- century Arab Christian poet from a family in al- Hirah.
He was married to the granddaughter of the Lakhmid ruler al- Nu'man III ibn al- Mundhir, and is said to have helped al- Nu'man accede to power as ruler of al- Hirah.
He also served as the secretary(" dabir") for Arab affairs under the Sasanian king Hormizd IV.
Qatada ibn al-Nu'man
Qatada ibn al- Nu'man was one of the companions of the Muslim prophet Muhammad and a member of the Ansar.
He had a grandson named Asim ibn Umar ibn Qatada ibn al- Nu`man al- Ansari( d. 120 or 129 AH).
Al-Mundhir III ibn al-Harith
Al-Mundhir ibn al-Ḥārith , known in Greek sources as (Flavios) Alamoundaros , was the king of the Ghassanid Arabs from 569 to circa 581.
A son of Al-Harith ibn Jabalah, he succeeded his father both in the kingship over his tribe and as the chief of the Byzantine Empire's Arab clients and allies in the East, with the rank of "patricius".
Despite his victories over the rival Persian-backed Lakhmids, throughout Mundhir's reign his relations with Byzantium were lukewarm due to his staunch Monophysitism.
This led to a complete breakdown of the alliance in 572, after Mundhir discovered Byzantine plans to assassinate him.
Relations were restored in 575 and Mundhir secured from the Byzantine emperor both recognition of his royal status and a pledge of tolerance towards the Monophysite Church.
In 580 or 581, Mundhir participated in an unsuccessful campaign against the Persian capital, Ctesiphon, alongside the Byzantine general (and future emperor)
Maurice.
The failure of the campaign led to a quarrel between the two and Maurice accused Mundhir of treason.
Byzantine agents captured Mundhir, who was brought to Constantinople but never faced trial.
His arrest provoked an uprising among the Ghassanids under Mundhir's son al-Nu'man VI.
When Maurice ascended the throne in 582, Mundhir was exiled to Sicily although, according to one source, he was allowed to return to his homeland after Maurice's overthrow in 602.
Mundhir was the last important Ghassanid ruler; in 584, the Byzantines would break up the Ghassanid federation.
A capable and successful military leader, his rule also saw the strengthening of Monophysitism and a cultural flowering among the Arabs under his rule.
Tirdadh
Tirdadh was the first king of the Gilites, ruling during an unknown date between the 9th and 10th- century.
He was succeeded by Lili ibn al- Nu'man.
Tirdadh had a son named Harusindan, who would later succeeded Lili ibn al- Nu'man as the new ruler of the Gilites.
Al-Mundhir III ibn al-Nu'man
Al- Mundhir III ibn al- Nu'man, also known as Al- Mundhir ibn Imri' al- Qays( died 554) was the king of the Lakhmids in 503/505–554.
Qabus ibn al-Mundhir
Qabus ibn al- Mundhir( Arabic: قابوس ابن المنذر; in Greek sources Καβόσης, Kaboses) was the king of the Lakhmid Arabs from 569 to 573.
His name is an Arabic form of the Persian name" Kavus", adopted under the influence of his Sassanid Persian overlords.
He succeeded his brother' Amr III ibn al- Mundhir( r. 554–569).
Not much is known of his reign except that he suffered a heavy defeat at the hands of the rival Byzantine- sponsored Ghassanid tribe under Al- Mundhir III ibn al- Harith in 570.
After his death, the Lakhmids were ruled by a Persian governor for a year, until Qabus' brother al- Mundhir IV ibn al- Mundhir( r. 574–580) ascended to the throne.
Iyas ibn Qabisah al-Ta'i
Iyas ibn Qabisah al- Ta'i was the Sasanian governor of al- Hirah from 602 to 617 — he was the co-governor of the city alongside the Persian noble Nakhiragan.
They succeeded the last Lakhmid ruler of al- Hirah, al- Nu'man III ibn al- Mundhir, after he was deposed by king Khosrow II( r. 590–628).
Azadbeh succeeded them in 617.
Al-Mundhir I ibn al-Nu'man
Al- Mundhir ibn al- Nuʿmān was the seventh Lakhmid king( 418-461).
His mother's name was Hind bint Zayd- Manāt ibn Zayd- Allah al- Ghassani, and his father was al- Nu'man I.

Question: Who is Al-Nu'Man Vi Ibn Al-Mundhir's paternal grandfather?
Answer: Al-Harith ibn Jabalah