Geodesic
Cartan subalgebras of simple nonclassical Lie $p$-algebras
Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 905-924.

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In the present article the simple nonclassical Lie $p$-algebras $H_n$ and $K_n$ are shown to have $n+1$ and $2n+1$ conjugacy classes of Cartan subalgebras, respectively. 
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     author = {S. P. Demushkin},
     title = {Cartan subalgebras of simple nonclassical {Lie} $p$-algebras},
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S. P. Demushkin. Cartan subalgebras of simple nonclassical Lie $p$-algebras. Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 905-924. http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a0/

[1] Demushkin S. P., “Podalgebry Kartana prostykh neklassicheskikh $p$-algebr Li $W_n$ i $S_n$”, Sib. matem. zh., XI:2 (1970), 310–325

[2] Rudakov A. N., “Gruppy avtomorfizmov beskonechnomernykh prostykh algebr Li”, Izv. AN SSSR. Ser. matem., 33:4 (1969), 748–764 | MR | Zbl

[3] Seligman G. B., “On Lie algebras of prime characteristic”, Mem. Amer. Math. Soc., 1956, no. 19 | MR | Zbl