Template:Group properties because extraspecial

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extraspecial group || Yes || The center, derived subgroup, and Frattini subgroup all coincide and are cyclic of prime order || |- | special group || Yes || (via extraspecial): the center, derived subgroup, and Frattini subgroup all coincide || |- | Frattini-in-center group || Yes || (via extraspecial): the Frattini subgroup is contained in the center || |- | group of nilpotency class two || Yes || (via special): the derived subgroup is contained in the center || |- | UL-equivalent group || Yes || (via special): the upper central series and lower central series coincide ||