The manual contains a lot of data linking the MPQ to the five-factor model. Roughly, albeit imperfectly:
NEM (esp. Stress Reaction) → Neuroticism
PEM → Extraversion
CON (esp. Control) and High Achievement → Conscientiousness
Absorption (but also low Traditionalism) → Openness to Experience
Aggression (and to lesser degree Alienation) → (low) Agreeableness
There has also been research to suggest that the MPQ, NEO, and other measures can be configured to map onto one another through hierarchical structure. At the three-factor level, you essentially have NEM, PEM, CON, whereas at the five-factor level, you have the five-factor model domains.