In Śvetāmbara Jain tradition, the 45 Āgamas are based on the teachings of Bhagwan Mahāvīr, as compiled by the Gaṇadharas and later preserved by Ācāryas. They are the foundation of Jain doctrine, conduct, vows, karma theory, and monastic discipline.

On what are they based?

They are based on:

1. Bhagwan Mahāvīr’s direct sermons
2. Gaṇadhara composition and oral preservation
3. Jain principles of Ahimsā, Satya, Asteya, Brahmacharya, Aparigraha
4. Karma, liberation, soul, conduct, and monk-lay discipline

The 45 Āgamas

They are commonly counted as:

1. Anga Āgamas — 12

1. Āchārāṅga Sūtra
2. Sūtrakṛtāṅga Sūtra
3. Sthānāṅga Sūtra
4. Samavāyāṅga Sūtra
5. Bhagavatī Sūtra
6. Jñāta Dharmakathāṅga Sūtra
7. Upāsakadaśāṅga Sūtra
8. Antakṛddaśāṅga Sūtra
9. Anuttaraupapātikadaśāṅga Sūtra
10. Praśnavyākaraṇa Sūtra
11. Vipāka Sūtra
12. Dṛṣṭivāda

- This is lost / not available today.

2. Upāṅga Āgamas — 12

1. Aupapātika Sūtra
2. Rājapraśnīya Sūtra
3. Jīvābhigama Sūtra
4. Prajñāpanā Sūtra
5. Sūryaprajñapti Sūtra
6. Jambūdvīpa Prajñapti Sūtra
7. Candraprajñapti Sūtra
8. Nirayāvalikā Sūtra
9. Kalpāvataṃsikā Sūtra
10. Puṣpikā Sūtra
11. Puṣpacūlikā Sūtra
12. Vṛṣṇidaśā Sūtra

3. Cheda Sūtras — 6

1. Nisīha Sūtra
2. Mahānisīha Sūtra
3. Vyavahāra Sūtra
4. Daśāśrutaskandha Sūtra
5. Bṛhatkalpa Sūtra
6. Jītakalpa Sūtra

4. Mūla Sūtras — 4

1. Uttarādhyayana Sūtra
2. Daśavaikālika Sūtra
3. Āvaśyaka Sūtra
4. Piṇḍaniryukti

- In some traditions this count may vary slightly.

5. Prakīrṇaka Sūtras — 10

1. Catuḥśaraṇa
2. Āturapratyākhyāna
3. Bhaktaparijñā
4. Saṃsthāraka
5. Tandulavaicārika
6. Candravedhyaka
7. Devendrastava
8. Gaṇivijjā
9. Mahāpratyākhyāna
10. Vīratthava
11. Aṅgulīyāra

- Some lists of Prakīrṇakas differ by tradition.

Important note

The exact list of 45 can vary slightly among Jain traditions and textual classifications, especially in the Prakīrṇakas and some subsidiary texts. But the above is the commonly accepted Śvetāmbara framework.

If you want, I can also give:

• the 45 Āgamas in simple Gujarati/Hindi names
• the meaning of each Āgama
• or the classification used in Digambar tradition.