Abelian subgroup structure of groups of order 256

This article gives specific information, namely, abelian subgroup structure, about a family of groups, namely: groups of order 256.
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Summary on existence, congruence, and replacement

Order of subgroup	Existence of abelian subgroup of that order guaranteed?	Existence of abelian normal subgroup of that order guaranteed?	Abelian-to-normal replacement for that order guaranteed?	Number of abelian subgroups of that order always odd if nonzero?
1	Yes	Yes	Yes	Yes
2	Yes	Yes	Yes	Yes
4	Yes	Yes	Yes	Yes
8	Yes	Yes	Yes	Yes
16	Yes	Yes	Yes	Yes
32	No	No	Yes	?
64	No	No	Yes	No
128	No	No	Yes	Yes
256	No	No	Yes	Yes