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This group is generated by the symmetric group of degree r + 1 and an abelian group of order n in canonical form. For r = 3 and n = 6 there results a group G of order 5184 which has been treated by Musselman.§ The purpose of this note is to prove that G and C6 are not simply isomorphic. The proof consists in showing that the number of collineations of period 2 in G exceeds the number of collineations of period 2 in C6.

Proof of the non-isomorphism of two collineation groups of order 5184