]> 2026-10-18T04:00:04+00:00 Group of prime power order 0 en Group of prime power order Quaternion group 0 en Quaternion group Dihedral group:D8 0 en Dihedral group:D8 Cyclic group:Z4 0 en Cyclic group:Z4 Prime power order implies center is normality-large 0 en Prime power order implies center is normality-large Prime power order implies subgroups of all orders dividing the group order 0 en Prime power order implies subgroups of all orders dividing the group order Prime power order implies nilpotent 0 en Prime power order implies nilpotent Nilpotent group 0 en Nilpotent group Finite group 0 en Finite group 0 Prime power order implies center is normality-large#Group of prime power order;2# a4f4ca7ddf8a5cf5cc8d8e0a4f8f5131 0 Prime power order implies subgroups of all orders dividing the group order#Group of prime power order;2# a4f4ca7ddf8a5cf5cc8d8e0a4f8f5131 0 Prime power order implies nilpotent#Group of prime power order;2# a4f4ca7ddf8a5cf5cc8d8e0a4f8f5131 0 Intermediately characteristic not implies isomorph-containing in group of prime power order#Group of prime power order;2# a4f4ca7ddf8a5cf5cc8d8e0a4f8f5131 0 Congruence condition on number of elementary abelian subgroups of prime-square order for odd prime#Group of prime power order# d51a2fd410537f0c5faebd2710e17e3a Satisfies property 132 en Satisfies property Uses property satisfaction of 132 en Uses property satisfaction of Weaker than 132 en Weaker than Page 132 en Page