Characteristically simple implies CSCFN-realizable

This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., characteristically simple group) must also satisfy the second group property (i.e., CSCFN-realizable group)
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Statement

Any characteristically simple group can be realized as a CSCFN-subgroup (?) of some group.

Facts used

1. Characteristically simple implies center is a direct factor
2. Center is a direct factor implies NSCFN-realizable
3. Characteristically simple and NSCFN implies monolith
4. Monolith is characteristic