Doubly Semiequivelar Maps on Torus and Klein Bottle

Table 1

DSEMs of face-size 4 on torus and Klein bottle on ≤15 vertices.

S. No.	Map type	|V|	No. of maps	On torus	On Klein bottle
(1)		9	4	,	,
		12	6	, ,	, ,
		15	5	, ,	,
(2)		12	3	,
(3)	[3^6 : 3^2, 4, 3, 4]	14	1	—	K1(2,12)[3^6 : 3^2, 4, 3, 4]
(4)		12	1		—
(5)		12	1	—
(6)		9	3	,
		12	3	,
		15	5	, ,	,
(7)		12	3	,