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We construct an infinite family of triples ( G   k  , H   k  , T   k  ), where  G   k   are 2-groups of increasing order,  H   k   are index 2 subgroups of  G   k  , and  T   k   are pairs of generators of  H   k  . We show that the triples  u   k  =( G   k  , H   k  , T   k  ) are mixed Beauville structures if  k  is not a power of 2. This is the first known infinite family of 2-groups admitting mixed Beauville structures. Moreover, the associated Beauville surface  S ( u  3 ) is real and, for  k &gt;3 not a power of 2, the Beauville surface  S ( u   k  ) is not biholomorphic to   $\overline {S(u_k)}$  .

An Infinite Family of 2-Groups with Mixed Beauville Structures