Cage order $n(6,12)$

The order of a $(6,12)$-cage, a $6$-regular graph of girth $12$ of minimum order.

Updates

• Lower bound: $7812$
  Reference unknown
  [via Cage (graph theory) - Wikipedia]
• Upper bound: $7812$
  Reference unknown
  [via Dynamic Cage Survey, Geoffrey Exoo and Robert Jajcay, 2013-07-26]