An infinite family of q-clans, called the Subiaco q-clans, is constructed for q = 2 ~. Associated with these q-clans are flocks of quadratic cones, elation generalized quadrangles of order (q2, q), ovals of PG(2, q) and translation planes of order q2 with kernel GF(q). It is also shown that a q-clan, for q = 2 ~, is equivalent to a certain configuration of q + 1 ovals of PG(2, q), called a herd.Mathematics Subject Classification (1991): Primary: 51E21, 51E20, 51E12, 51E15; Secondary: 05B25.

We construct the new semifield flock of PG(3, 243) associated with the Penttila Williams translation ovoid of Q(4, 243) and we study the associated generalized quadrangle and its translation dual. Academic Press

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