  We consider d=10 N=1 supersymmetry algebra with maximal number of tensor
charges Z and introduce a class of orbits of Z, invariant w.r.t. the $T_8$
subgroup of massless particles' little group $T_8\ltimes SO(8)$. For that class
of orbits we classify all possible orbits and little groups, which appear to be
semidirect products of $T_8\ltimes SO(k_1)\times ... SO(k_n)$ form, with
$k_1+...+k_n=8$, where compact factor is embedded into SO(8) by triality map.
We define actions of little groups on supercharge Q and construct corresponding
supermultiplets. In some particular cases we show the existence of
supermultiplets with both Fermi and Bose sectors consisting of the same
representations of tensorial Poincare. In addition, complete classification of
supermultiplets (not restricted to $T_8$-invariant orbits) with rank-2 matrix
of supersymmetry charges anticommutator, is given.
