The Amyrgians were a tribe of the Scythians (Saka

Saka

The Saka were a Scythian tribe or group of tribes....

), named for their king Amorges (not to be confused with Amorges

Amorges

Amorges , son of the Persian satrap Pissouthnes , was the leader of a Carian rebellion in 413 BC. He was captured by Tissaphernes and executed in 412 BC.- Sources :* Andocides, .* Thucydides, The Peloponnesian War VIII 5, 19, 28, 54....

, son of Pissunthnes leader of a Caria

Caria

Caria was a region of western Anatolia extending along the coast from mid-Ionia south to Lycia and east to Phrygia. The Ionian and Dorian Greeks colonized the west of it and joined the Carian population in forming Greek-dominated states there...

n rebellion in 413 BC).
They are likely the Saka haumavarga "Haoma

Haoma

Haoma is the Avestan language name of a plant and its divinity, both of which play a role in Zoroastrian doctrine and in later Persian culture and mythology. The Middle Persian form of the name is hōm, which continues to be the name in Modern Persian and other living Iranian languages.Sacred haoma...

-worshipping Scythians" of the Behistun inscription

Behistun Inscription

The Behistun Inscription The Behistun Inscription The Behistun Inscription (also Bistun or Bisutun, Modern Persian: بیستون The Behistun Inscription (also Bistun or Bisutun, Modern Persian: بیستون...

.

According to Herodotus

Herodotus

Herodotus was an ancient Greek historian who was born in Halicarnassus, Caria and lived in the 5th century BC . He has been called the "Father of History", and was the first historian known to collect his materials systematically, test their accuracy to a certain extent and arrange them in a...

  , the Amyrgians were conquered by Cyrus

Cyrus the Great

Cyrus II of Persia , commonly known as Cyrus the Great, also known as Cyrus the Elder, was the founder of the Achaemenid Empire. Under his rule, the empire embraced all the previous civilized states of the ancient Near East, expanded vastly and eventually conquered most of Southwest Asia and much...

, who took Amorges prisoner. The wife of Amorges, Sparethra, collected an army of 300,000 men and 200,000 women, made war upon Cyrus, taking as prisoners Parmises, the brother of Amytis, and his three sons, who were subsequently released in exchange for Amorges.
Cyrus's good treatment of Amorges prompted the Saka to submit to the Persians. Amorges or Thambradas went with Cyrus to Lydia.

The Amyrgians fought under Cyrus in the Battle of Thymbra

Battle of Thymbra

The Battle of Thymbra was the decisive battle in the war between Croesus of the Lydian Empire against Cyrus the Great in the first months of 547 BC. Cyrus, having pursued Croesus into Lydia following the drawn Battle of Pteria, met the remains of Croesus' partly disbanded army in battle on the...

of 547 BC.