K.S.A. 48-402: Number and rank of officers to be commissioned.

When a corps of cadets shall exceed in number eighty enlisted men, there may be commissioned two captains, four first lieutenants (one of whom may act as battalion adjutant and one as battalion quartermaster), and two second lieutenants; and for each additional forty enlisted persons there may be, in addition, one captain, one first lieutenant, and one second lieutenant. When a corps of cadets shall exceed in number forty enlisted persons, but not be entitled to battalion organization as above, there may be commissioned one captain, one first lieutenant, and two second lieutenants (one of whom may act as adjutant).