Abstract
A group G is said to be (2, 3, t)-generated if it can be generated by two elements x and y such the o(x) = 2, o(y) = 3 and o(xy) = t. In the present article, we investigate (2, 3, 4)-generations for the Held's sporadic simple group He, where t is a divisor of vertical bar He vertical bar. Most of the computations were carried out with the aid of computer algebra system GAP [23].