The Fifteenth, Sixteenth and Seventeenth Dynasties of ancient Egypt are often combined under the group title, Second Intermediate Period

Second Intermediate Period of Egypt

The Second Intermediate Period marks a period when Ancient Egypt fell into disarray for a second time, between the end of the Middle Kingdom and the start of the New Kingdom...

. The Fifteenth Dynasty dates approximately from 1650 to 1550 BC.

Rulers

Known rulers of the Fifteenth Dynasty are as follows:

Fifteenth Dynasty

Name	Dates
Salitis Salitis Salitis was the first king of the Hyksos Fifteenth dynasty of Egypt, who began to rule Egypt around 1648 BC. The precise dates of his rule are unknown. Northern Egypt was controlled by Hyksos rulers throughout the Dynasty. The Hyksos were people of Semitic origin who were thought to have invaded...
Sakir-Har Sakir-Har The obscure Hyksos king, Sakir-Har, was discovered in a recently excavated door jamb from Tell el-Dab'a of Ancient Egypt by Manfred Bietak. His titulary appear on door jamb, Cairo TD-8316...	Named as an early Hyksos king on a door jamb found at Avaris Avaris Avaris , capital of Egypt under the Hyksos , was located near modern Tell el-Dab'a in the northeastern region of the Nile Delta, at the juncture of the 8th, 14th, 19th and 20th Nomes... . Regnal order uncertain.
Khyan Khyan Seuserenre Khyan, Khian or Khayan was reportedly the fourth king of the Hyksos Fifteenth dynasty of Egypt who ruled approximately c.1610-1580 BC The Danish Egyptologist, Kim Ryholt, who published an extensive catalogue of the monuments of all the numerous pharaohs of the Second Intermediate Period...
Apophis	c. 1600
Khamudi Khamudi Khamudi was the last pharaoh of the Hyksos fifteenth dynasty of Egypt, who came to power in the northern portion of Egypt...	c. 1550

The Fifteenth Dynasty of Egypt

Egypt

Egypt , officially the Arab Republic of Egypt, Arabic: , is a country mainly in North Africa, with the Sinai Peninsula forming a land bridge in Southwest Asia. Egypt is thus a transcontinental country, and a major power in Africa, the Mediterranean Basin, the Middle East and the Muslim world...

 was the first Hyksos

Hyksos

The Hyksos were an Asiatic people who took over the eastern Nile Delta during the twelfth dynasty, initiating the Second Intermediate Period of ancient Egypt....

 dynasty, ruled from Avaris

Avaris

Avaris , capital of Egypt under the Hyksos , was located near modern Tell el-Dab'a in the northeastern region of the Nile Delta, at the juncture of the 8th, 14th, 19th and 20th Nomes...

, without control of the entire land. The Hyksos preferred to stay in northern Egypt since they infiltrated from the north-east. The names and order of kings is uncertain. The Turin Kinglist indicates that there were six Hyksos kings, with an obscure Khamudi listed as the final king of the Fifteenth Dynasty. (line X.21 of the cited web link clearly provides this summary for the dynasty: "6 kings functioning 100+X years.") The surviving traces on the X figure appears to give the figure 8 which suggests that the summation should be read as 6 kings ruling 108 years.

Number of kings named Apepi

Some scholars argue there were two Apophis kings named Apepi I and Apepi II, but this is primarily due to the fact there are two known prenomens for this king: Awoserre and Aqenenre. However, the Danish Egyptologist Kim Ryholt

Kim Ryholt

Kim S B Ryholt is a Danish Egyptologist, who works at the Carsten Niebuhr Institute of Near Eastern Studies at the University of Copenhagen....

 maintains in his study of the Second Intermediate Period that these prenomens all refer to one man: Apepi I

Apepi I

Apepi or Apophis was a ruler of Lower Egypt during the fifteenth dynasty and the end of the Second Intermediate Period that was dominated by this foreign dynasty of rulers called the Hyksos...

 who ruled Egypt for 40+X years. This is also supported by the fact that this king employed a third prenomen during his reign: Nebkhepeshre. Apophis likely employed several different prenomens throughout various periods of his reign. This scenario is not unprecedented since later kings including the famous Ramesses II

Ramesses II

Ramesses II , referred to as Ramesses the Great, was the third Egyptian pharaoh of the Nineteenth dynasty. He is often regarded as the greatest, most celebrated, and most powerful pharaoh of the Egyptian Empire...

 and Seti II

Seti II

Seti II , was the fifth ruler of the Nineteenth dynasty of Egypt and reigned from 1203 BC to 1197 BC. His throne name, Userkheperure Setepenre, meant "Powerful are the Manifestations of Re, Chosen by Re.' He was the son of Merneptah and wife Isisnofret and sat on the throne during a...

are known to have used two different prenomens in their own reign.