  We examine the phase diagram of the $p$-spin mean field glass model in the
spin one case, that is when $S=0,+1,-1$. For large $p$ the model is solved
exactly. The analysis reveals that the phase diagram is in some way similar to
that of Ising spins. However, as we show, the quadrupolar regular ordering as
well as qudrupolar glass order are present now. The temperature of the Gardner
1RSB -- FRSB transition is obtained explicitly for large $p$. The case of
higher spins is discussed briefly.
