As I discuss in this question, by far the most popular school of Hindu philosophy is the Vedanta school. But there are five other Astika or orthodox schools of Hindu philosophy: Purva Mimamsa, Samkhya, Yoga, Vaisheshika, and Nyaya. My question is about the Samkhya school, founded by the sage Kapila. There are three works which are variously claimed to be the oldest surviving work of the Samkhya school: Kapila's Samkhya Sutras, Kapila's Tattva Samasa, and Ishwara Krishna's Samkhya Karika. Of these three, scholars consider the Samkhya Karika to be the oldest; the original defining work of the Samkhya school was composed by Kapila, but scholars believe that work is lost and that the Samkhya Sutras and Tattva Samasa are just later works attributed to Kapila.
But my question is, what is the Guru Parampara of Ishwara Krishna, the author of the Samkhya Karika? How many generations removed is he from Kapila?
Here is all the end of the Samkhya Karika says:
etat pavitram agryam munir āsuraye anukampayā pradadau |
āsurir api pañcaśikhāya tena bahudhākṛtaṃ tantram ||
śiṣyaparamparayā gatam īśvarakṛṣṇena caitad āryābhiḥ |
saṃkṣiptam āryamatinā samyag vijñāya siddhāntam ||
saptatyāṃ kila ye arthās te arthāḥ kṛtsnasya ṣaṣṭitantrasya |
ākhyāyikāvirahitāḥ paravādavivarjitāścāpi ||
This sacred and supreme (Knowledge), the sage (Kapila) gave to Āsuri out of compassion. Āsuri (gave it) to Pañcaśikha, who elaborated the doctrine. Handed down by tradition of disciples, this was summarised in Ārya verses by Iśvarakṛṣṇa of noble mind, having fully understood the demonstrated truth. The topics of these seventy verses are those of the entire Ṣaṣṭitantra; they are devoid of anecdotes and also omit discussions of rival views.
So Kapila's shishya was Asuri, whose shishya was Panchashikha. But what is the Guru Parampara between Panchashikha and Ishwara Krishna? Do any commentaries on the Samkhya Karika shed light on this?