Space of $C^1$-smooth skew products of maps of an interval

Using the notions of an $\Omega$-function and of functions suitable for an $\Omega$-function, we show that the space of $C^1$-smooth skew products of maps of an interval such that the quotient map of each is $\Omega$-stable in the space of $C^1$-smooth maps of a closed interval into itself and has a type $\succ2^{\infty}$ (i.e., contains a periodic orbit with the period not equal to a power of $2$) can be represented as a union of four nonempty pairwise nonintersecting subspaces. We give examples of maps belonging to each of the identified subspaces.