India's infrastructure sector output grew 6.5 per cent in June from a year earlier,higher than an unrevised 2.8 per cent in May,government data showed on Thursday,signalling signs of a pick up. Output had risen 5.1 per cent in the same month last year. During April-June,the output rose 4.8 per cent,compared with 3.5 per cent in the same period last year. The infrastructure sector accounts for 26.7 per cent of India's industrial output.