Option 1 states that the British Crown assumed sovereignty over India from the East India Company. This is correct. The Government of India Act, 1858, also known as the Act for the Better Government of India, transferred the administration and control of British India from the East India Company to the British Crown.

Option 2 states that the British Parliament enacted the first statute for the governance of India under the direct rule of the British. This is also correct. The Government of India Act, 1858, was passed by the British Parliament and marked the beginning of direct rule in India by the British government.

Option 3 states that the Act was dominated by the principle of absolute imperial control without any popular participation in the administration of the country. This is correct. The Act maintained a centralization of power in the British government and did not provide for significant popular participation in the administration of India.

Therefore, the correct answer is option 3: 1, 2, and 3. The Government of India Act, 1858, transferred sovereignty from the East India Company to the British Crown, was enacted by the British Parliament, and emphasized imperial control without popular participation.