who are the Amalekites?

Gen. 36:12 - And Timna was a concubine to Eliphaz, Esau’s son, and she bore  a Amalek to Eliphaz. These are the sons of Esau’s wife Adah. 

1 Sam. 15:20 - And Saul said to Samuel, I surely did obey the voice of Jehovah, and I went on the journey that Jehovah sent me on. And I have brought Agag the king of the Amalekites and have utterly destroyed the Amalekites (Exo. 17:8-16;  Deut. 25:17-19) 

Notes:- The Recovery Version

  In typology the Amalekites signify the flesh—the fallen man (Exo. 17:8-16; Gen. 6:3a; Rom. 3:20a). God created man, not the flesh, but man became fallen and eventually became flesh. In the entire universe God’s unique enemy, in a practical sense, is not Satan but the flesh (Rom. 8:7). The flesh, the fallen man, is altogether one with Satan (Matt. 16:23) and is used by Satan to fight against God (Gal. 5:17)

Exo. 17:8 - Then  Amalek came and fought with Israel in Rephidim.

Exo. 17:8 (1)

 Amalek  (Num. 14:45;  Deut. 25:17;  Judg. 3:13;  6:3, 33;  10:12;  1 Sam. 15:2) 

  Meaning warlike. Amalek typifies the flesh, which is the totality of the fallen old man (Gal. 2:16; see notes 32 in Gal. 3 and 191 in Gal. 5). The fighting between Amalek and Israel depicts the conflict between the flesh and the Spirit within the believers (Gal. 5:17; cf. 1 Pet. 2:11). Amalek was a descendant of Esau (Gen. 36:12), Jacob’s twin brother. This indicates that the flesh is very close to our regenerated being, signified by Jacob. Esau was born first and Jacob second, indicating that the flesh is of the first man, the old man

Exo. 17:8 (2)

  Amalek was the first enemy encountered by the children of Israel on the way to the good land (Deut. 25:17-18; 1 Sam. 15:2). This indicates that our flesh is the first among all our enemies. The flesh, sin, the world, and Satan are all related, but the most prominent among them in fighting against the believers is the flesh (Gal. 5:17). When in our experience the flesh is put to death (Gal. 5:24; Rom. 8:13), the world cannot hold us, sin cannot operate in us, and Satan is powerless to work on us. Amalek’s purpose in attacking Israel was to frustrate them from entering the good land. Likewise, Satan’s aim in stirring up the flesh to fight against us is to keep us from entering into the full enjoyment of the all-inclusive Christ as our good land.