And again we give a fishy representation of a small simple group, with some self-intersections reminding us of the fact that this sort of display is rather limited. A map with indicated identifications of boundaries would be more appropriate this time probably.
vertices: 8
faces: 10
edges: 20
genus: 2
characteristic polynomial:
(x - 5) (x - 1) (x + 1)2 (x2 +2x - 1)2
dual's characteristic polynomial:
(x - 4) (x - 1)2 (x + 1) (x2 + x - 4) (x2 + 2x - 1)2
chromatic number: 4
lattice group:
A(6) ≅ L2(9)