Take the tour ×  Many theorems about odd order $p$-groups fail
miserably for $2$-groups. These can range from simple $2$-group
exceptions (e.g. Frobenius complements can be either cyclic or
generalized quaternion) to full blown analogs proved with vastly
different, "$2$-groupy" techniques (e.g. Glauberman's
$\text{ZJ}$ theorem vs. Stellmacher's results about
$\Sigma_4$-free groups.) It's clear that $2$-groups in some way
work fundamentally differently than other $p$-groups, and I
would like to improve my understanding of exactly how.  Does
anyone know of a comprehensive reference compiling important
results about $2$-groups specifically? Is there a book or survey
article about the theory of $2$-groups out there somewhere?  I
would be especially interested in sources discussing differences
in the internal structure of $2$-groups, rather than differences
associated with their place in finite groups, such as my
examples above. (And again, I don't need any references for
$p$-groups in general - I've got plenty of