(2,3,7)-von Dyck group

Definition
The $$(7,3,2)$$-von Dyck group, also sometimes termed the $$(2,3,7)$$-von Dyck group, is defined as the member of family::von Dyck group with parameters $$(7,3,2)$$. In other words, it has the presentation:

$$\langle a,b,c \mid a^7 = b^3 = c^2 = abc = e \rangle$$

where $$e$$ denotes the identity element.

This group is also sometimes termed the $$(7,3,2)$$-triangle group, though that name is also used for the (7,3,2)-triangle group, in which this is a subgroup of index two.