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Arises in enumerating geometric hyperplanes of the near hexagon L_3 x GQ(2,2).
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%I #8 Dec 18 2016 12:53:05

%S 30,45,18,270,90,120,360,90

%N Arises in enumerating geometric hyperplanes of the near hexagon L_3 x GQ(2,2).

%C Leftmost and rightmost column of Table 2, p. 6, of Saniga et al.: An overview of the types of geometric hyperplanes of the near hexagon L_3 x GQ(2,2). For each type (Tp) of hyperplane we give the number of points (Pt) and lines (Ln), followed by the cardinalities of the points of a given order, cardinalities of deep (dp), singular (sg), ovoidal (ov) and subquadrangular (sq) quads of both kinds, and, finally, the total number of its copies (Cd). |H_i| = 1 (mod 4) for any i according to their point cardinality.

%H Metod Saniga, Peter Levay, Michel Planat, Petr Pracna, <a href="http://arxiv.org/abs/0908.3363">Geometric Hyperplanes of the Near Hexagon L_3 times GQ(2,2)</a>, Aug 24, 2009.

%K fini,full,nonn

%O 1,1

%A _Jonathan Vos Post_, Aug 26 2009