These dessins correspond to Belyi maps defined on genus 2 hyperelliptic curves.
Both Belyi map orbits are defined over the number field \(\mathbb{Q}(\sqrt{-7})\).
,(1,4,5,6,3,2,7),(1,4,7)(2,5,3).png "(1,4,7,3,6,2,5)_(1,4,5,6,3,2,7)_(1,4,7)(2,5,3)")
,(1,7,2,3,6,5,4),(1,7,4)(2,3,5).png "(1,5,2,6,3,7,4)_(1,7,2,3,6,5,4)_(1,7,4)(2,3,5)")
,(1,5,7,6,4,2,3),(2,7,6)(3,5,4).png "(1,4,7,3,6,2,5)_(1,5,7,6,4,2,3)_(2,7,6)(3,5,4)")
,(1,3,2,4,6,7,5),(2,6,7)(3,4,5).png "(1,5,2,6,3,7,4)_(1,3,2,4,6,7,5)_(2,6,7)(3,4,5)")