Kaya Alp
Kaya Alp was, according to Ottoman tradition, the son of Kızıl Buğa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertuğrul, and the great grandfather of the Ottoman Empire founder, Osman I.
Mahmut of Karaman
Mahmut of Karaman was a bey of Karaman Beylik, a Turkish principality in Anatolia in the 14th century.
His father was Karaman Bey.
He succeeded his elder brother Güneri in 1300.
Although he is known to have participated in the campaign to Alaiye during Güneri's reign, the details of his reign are not known.
But when Seljuk sultan Mesut II died in 1308, he saw his chance to capture Konya, the Seljuks capital.
He died in 1312.
His tomb is in Balkusan village at Ermenek district of Karaman Province.
He was succeeded by his son Musa.
Karaman Bey
Karaman Bey (Also known as Kerimüddin Karaman Bey) was the leader of Turkoman tribe Afshar and the founder of Karaman Beylik, a Turkish principality in Anatolia in the 13th century.
His father was Nure Sofi.
After his father's death, he founded his beylik which was already semiautonomous during his father's reign.
The Seljuks, who were their nominal suzerains, were defeated by the Mongols and the Karamans had no problem to settle in the northern slopes of the Toros Mountains close to Konya, the Seljuk capital.
The Seljuk Sultan, afraid of the Karamans increasing power, gave him some towns as ikta (fief) .
The city of Karaman (ancient Larende) bears his name.
Karaman fought against the Armenian Kingdom of Cilicia and expanded his territory.
In 1261 Kılıç Aslan IV of Seljuks more or less regained strength after his elder brother took refuge in Byzantine Empire.(see Seljuks in Dobruja)
He began punishing rebellious tribes.
Seeing this restoration as a threat to his beylik and anticipating a blow from the sultan, Karaman Bey took initiative by a surprise attack to Konya.
But he was defeated in the battle of Gevele (west of Konya).
Both of his brothers were killed and he escaped to his territory.
It is believed that he died shortly after the battle.
He was buried in Balkusan (now a village in Ermenek district of Karaman Province)
He was succeeded by Mehmet I
Abd al-Muttalib
Abd al- Muttalib Shaybah ibn Hashim( c. 497 – 578) was the grandfather of Islamic prophet Muhammad.
Mehmet I of Karaman
Mehmet I of Karaman, also known as Şemseddin Mehmet, was the second bey of Karaman Beylik, a Turkish principality in Anatolia in the 13th century.
His father was Karaman Bey.
Pir Ahmet of Karaman
Pir Ahmet of Karaman was a bey of Karaman Beylik, a Turkish principality in Anatolia in the 15th century.
Güneri of Karaman
Güneri of Karaman was the third bey of Karaman Beylik, a Turkish principality in Anatolia in the 13th century.
His father was Karaman Bey.
After his elder brother Mehmet I was killed by the Mongols in 1277, he became the leader of the beylik.
Early years of his reign were eventless.
But in 1284 he took advantage of the civil war in Seljuk lands and he supported two infants for the Seljuk throne (not much different from the policy of Mehmet I.)
In turn, he was declared a beylerbey of Seljuks.
But upon the intervention of Arghun (Mongol khan) he had to recede to his own territory to the south of Seljuk lands.
In 1287 he attacked Tarsus, then a part of the Armenian Kingdom of Cilicia.
However Seljuks and Mongols who supported Leon II of Armenia invaded his territory, burned his capital Karaman and forced him to recede once more.
Next year he accepted the suzerainty of Seljuks.
In 1294, he recaptured Alaiye an important port on the Mediterranean Sea which was recently captured by a coalition of Armenians and the Kingdom of Cyprus from the Seljuks.
He died in 1300.
He was succeeded by his brother Mahmut.
Nefise Hatun
Nefise Hatun was an Ottoman princess, the daughter of Sultan Murad I of the Ottoman Empire.
She was the wife of Prince Alaattin Ali of Karaman, the ruler of Karamanids, and was the mother of the next Karamanid ruler, Mehmed II of Karaman.
Ibrahim II of Karaman
Ibrahim II( died 1464) was a bey of Karaman.
Ahmet of Karaman
Ahmet of Karaman, was a short term bey of Karaman Beylik, a Turkish principality in Anatolia in the 14th century.
He succeeded his father İbrahim Bey.
But his succession date is not known.
According to one source, he fell during a battle against Mongols in 1350.

Question: Who is the paternal grandfather of Güneri Of Karaman?
Answer: Nure Sofi