Abstract
Let G=Op′(G)⋊S where S=Z/pnZ∗T is of symplectic type with T an extra-special p-group and Op′(G) solvable. From results in [3] it is easy to show that when p is odd, the Quillen complex of G at p is Cohen-Macaulay. In this note we show that the result also holds when p=2.
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