Abstract
AbstractWe enumerate the number of isoclinism classes of semi-extraspecialp-groups with derived subgroup of orderp2. To do this, we enumerate GL (2,p)-orbits of sets of irreducible, monic polynomials in 𝔽p[x]. Along the way, we also provide a new construction of an infinite family of semi-extraspecial groups as central quotients of Heisenberg groups over local algebras.
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